From 08aa9db8a1a24a8abab5d0dc0c02b69acab1ac66 Mon Sep 17 00:00:00 2001
From: "pre-commit-ci[bot]"
 <66853113+pre-commit-ci[bot]@users.noreply.github.com>
Date: Mon, 5 Jan 2026 21:43:55 +0000
Subject: [PATCH 01/18] MAINT: upgrade lock files
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

updates:
- [github.com/ComPWA/policy: 0.7.3 → 0.7.5](https://github.com/ComPWA/policy/compare/0.7.3...0.7.5)
- [github.com/kynan/nbstripout: 0.8.1 → 0.8.2](https://github.com/kynan/nbstripout/compare/0.8.1...0.8.2)
- [github.com/astral-sh/ruff-pre-commit: v0.14.0 → v0.14.10](https://github.com/astral-sh/ruff-pre-commit/compare/v0.14.0...v0.14.10)
- [github.com/streetsidesoftware/cspell-cli: v9.2.0 → v9.4.0](https://github.com/streetsidesoftware/cspell-cli/compare/v9.2.0...v9.4.0)
- [github.com/editorconfig-checker/editorconfig-checker.python: 3.4.0 → 3.6.0](https://github.com/editorconfig-checker/editorconfig-checker.python/compare/3.4.0...3.6.0)
- [github.com/ComPWA/pyright-pre-commit: v1.1.406 → v1.1.407](https://github.com/ComPWA/pyright-pre-commit/compare/v1.1.406...v1.1.407)
- [github.com/astral-sh/uv-pre-commit: 0.9.2 → 0.9.21](https://github.com/astral-sh/uv-pre-commit/compare/0.9.2...0.9.21)
---
 .pre-commit-config.yaml | 14 +++++++-------
 1 file changed, 7 insertions(+), 7 deletions(-)

diff --git a/.pre-commit-config.yaml b/.pre-commit-config.yaml
index ab52cd8..e0f60da 100644
--- a/.pre-commit-config.yaml
+++ b/.pre-commit-config.yaml
@@ -13,7 +13,7 @@ repos:
       - id: check-useless-excludes
 
   - repo: https://github.com/ComPWA/policy
-    rev: 0.7.3
+    rev: 0.7.5
     hooks:
       - id: check-dev-files
         args:
@@ -30,7 +30,7 @@ repos:
       - id: set-nb-display-name
 
   - repo: https://github.com/kynan/nbstripout
-    rev: 0.8.1
+    rev: 0.8.2
     hooks:
       - id: nbstripout
         args:
@@ -77,7 +77,7 @@ repos:
           )$
 
   - repo: https://github.com/astral-sh/ruff-pre-commit
-    rev: v0.14.0
+    rev: v0.14.10
     hooks:
       - id: ruff-check
         args: [--fix]
@@ -123,12 +123,12 @@ repos:
         exclude: (?x)^(.*/Manifest\.toml|.*/Project\.toml)$
 
   - repo: https://github.com/streetsidesoftware/cspell-cli
-    rev: v9.2.0
+    rev: v9.4.0
     hooks:
       - id: cspell
 
   - repo: https://github.com/editorconfig-checker/editorconfig-checker.python
-    rev: 3.4.0
+    rev: 3.6.0
     hooks:
       - id: editorconfig-checker
         name: editorconfig
@@ -149,11 +149,11 @@ repos:
           )$
 
   - repo: https://github.com/ComPWA/pyright-pre-commit
-    rev: v1.1.406
+    rev: v1.1.407
     hooks:
       - id: pyright
 
   - repo: https://github.com/astral-sh/uv-pre-commit
-    rev: 0.9.2
+    rev: 0.9.21
     hooks:
       - id: uv-lock

From 18115fe0df4c5fe59b294b00f4313a115372fe0a Mon Sep 17 00:00:00 2001
From: "pre-commit-ci[bot]"
 <66853113+pre-commit-ci[bot]@users.noreply.github.com>
Date: Mon, 5 Jan 2026 21:46:11 +0000
Subject: [PATCH 02/18] MAINT: implement pre-commit autofixes

---
 docs/017/index.ipynb |  3 ++-
 pixi.toml            | 24 ++++++++++++------------
 2 files changed, 14 insertions(+), 13 deletions(-)

diff --git a/docs/017/index.ipynb b/docs/017/index.ipynb
index 02b3c7f..df5f58c 100644
--- a/docs/017/index.ipynb
+++ b/docs/017/index.ipynb
@@ -648,7 +648,8 @@
    "outputs": [],
    "source": [
     "phi_r = (\n",
-    "    kibble.doit()\n",
+    "    kibble\n",
+    "    .doit()\n",
     "    .subs(substitutions)  # substitute sigmas\n",
     "    .subs(substitutions)  # substitute T123\n",
     "    .subs(substitutions)  # substitute T0\n",
diff --git a/pixi.toml b/pixi.toml
index 9342635..c6cf823 100644
--- a/pixi.toml
+++ b/pixi.toml
@@ -1,15 +1,3 @@
-[project]
-channels = [
-    "conda-forge",
-    "https://repo.prefix.dev/julia-forge",
-]
-name = "compwa-report"
-platforms = [
-    "linux-64",
-    "osx-64",
-    "osx-arm64",
-]
-
 [dependencies]
 graphviz = "*"
 julia = {version = "*", channel = "https://repo.prefix.dev/julia-forge"}
@@ -133,3 +121,15 @@ description = "Run all notebooks"
 [tasks.style]
 cmd = "uv run --group style --isolated --no-dev pre-commit run --all-files"
 description = "Perform all linting, formatting, and spelling checks"
+
+[workspace]
+channels = [
+    "conda-forge",
+    "https://repo.prefix.dev/julia-forge",
+]
+name = "compwa-report"
+platforms = [
+    "linux-64",
+    "osx-64",
+    "osx-arm64",
+]

From f1d97e9ada240a98911f6cca1cb5fd917ec11cae Mon Sep 17 00:00:00 2001
From: Remco de Boer <29308176+redeboer@users.noreply.github.com>
Date: Wed, 28 Jan 2026 11:15:12 +0100
Subject: [PATCH 03/18] MAINT: upgrade lock files and dev config

---
 .cspell.json                       |    1 +
 .github/dependabot.yml             |   24 +
 .github/workflows/ci.yml           |   11 +-
 .github/workflows/clean-caches.yml |    4 +-
 .github/workflows/lock.yml         |    2 +-
 .github/workflows/pr-linting.yml   |    2 +-
 .gitignore                         |    2 -
 .pre-commit-config.yaml            |   28 +-
 .prettierignore                    |    1 +
 .vscode/extensions.json            |    3 +-
 .vscode/settings.json              |   12 +-
 CONTRIBUTING.md                    |    2 +-
 README.md                          |    3 +-
 docs/000/index.ipynb               |   24 +-
 docs/001/index.ipynb               |   24 +-
 docs/001/uv.lock                   |  299 +-
 docs/002/index.ipynb               |   39 +-
 docs/003/index.ipynb               |    2 +-
 docs/003/uv.lock                   |  411 +--
 docs/004/uv.lock                   |  315 +-
 docs/005/index.ipynb               |    2 +-
 docs/005/uv.lock                   |  321 +-
 docs/006/uv.lock                   |  330 +-
 docs/009/uv.lock                   |  192 +-
 docs/010/uv.lock                   |  192 +-
 docs/011/index.ipynb               |   47 +-
 docs/012/index.ipynb               |    2 +-
 docs/012/uv.lock                   |  560 ++--
 docs/013/uv.lock                   |  622 ++--
 docs/014/uv.lock                   |  126 +-
 docs/015/uv.lock                   |   80 +-
 docs/016/uv.lock                   |  363 +--
 docs/017/uv.lock                   |  355 +--
 docs/018/uv.lock                   |  636 ++--
 docs/019/index.ipynb               |    4 +-
 docs/020/index.ipynb               |    8 +-
 docs/020/uv.lock                   |  562 ++--
 docs/021/index.ipynb               |    6 +-
 docs/021/uv.lock                   |  445 +--
 docs/022/uv.lock                   |  568 ++--
 docs/023/uv.lock                   |  156 +-
 docs/024/index.ipynb               |    3 +
 docs/024/uv.lock                   |  568 ++--
 docs/025/uv.lock                   |  356 +--
 docs/026/uv.lock                   |  308 +-
 docs/027/index.ipynb               |    2 +-
 docs/027/uv.lock                   |  356 +--
 docs/028/index.ipynb               |    2 +-
 docs/028/uv.lock                   |   52 +-
 docs/029/uv.lock                   |   94 +-
 docs/030/index.ipynb               |    9 +-
 docs/030/uv.lock                   |  636 ++--
 docs/031/index.ipynb               |   11 +-
 docs/031/uv.lock                   |  691 +++--
 docs/032/index.ipynb               |   11 +-
 docs/032/uv.lock                   |  636 ++--
 docs/033/index.ipynb               |  224 +-
 docs/033/uv.lock                   |  621 ++--
 docs/034/uv.lock                   |   94 +-
 docs/035/index.ipynb               |   10 +-
 docs/035/uv.lock                   |  582 ++--
 pixi.lock                          | 4660 ++++++++++++++--------------
 pyproject.toml                     |   60 +-
 uv.lock                            | 1600 +++++-----
 64 files changed, 9538 insertions(+), 8834 deletions(-)
 create mode 100644 .github/dependabot.yml

diff --git a/.cspell.json b/.cspell.json
index 18a27e0..0459522 100644
--- a/.cspell.json
+++ b/.cspell.json
@@ -28,6 +28,7 @@
     ".editorconfig",
     ".envrc",
     ".gitattributes",
+    ".github/dependabot.yml",
     ".gitignore",
     ".pre-commit-config.yaml",
     ".prettierignore",
diff --git a/.github/dependabot.yml b/.github/dependabot.yml
new file mode 100644
index 0000000..4c38b36
--- /dev/null
+++ b/.github/dependabot.yml
@@ -0,0 +1,24 @@
+version: 2
+
+multi-ecosystem-groups:
+  lock:
+    assignees: [redeboer]
+    commit-message: { prefix: MAINT }
+    schedule: { interval: quarterly }
+
+updates:
+  - package-ecosystem: github-actions
+    directory: "/"
+    labels: [⬆️ Lock]
+    multi-ecosystem-group: lock
+    patterns: ["*"]
+  - package-ecosystem: julia
+    directory: "/"
+    labels: [⬆️ Lock]
+    multi-ecosystem-group: lock
+    patterns: ["*"]
+  - package-ecosystem: uv
+    directory: "/"
+    labels: [⬆️ Lock]
+    multi-ecosystem-group: lock
+    patterns: ["*"]
diff --git a/.github/workflows/ci.yml b/.github/workflows/ci.yml
index 0fe264b..7eda82b 100644
--- a/.github/workflows/ci.yml
+++ b/.github/workflows/ci.yml
@@ -17,23 +17,16 @@ on:
       - epic/*
       - "[0-9]+.[0-9]+.x"
   workflow_dispatch:
-    inputs:
-      specific-pip-packages:
-        description: Run CI with specific pip packages
-        required: false
-        type: string
 
 jobs:
   doc:
-    uses: ComPWA/actions/.github/workflows/ci-docs.yml@v3.0
+    uses: ComPWA/actions/.github/workflows/ci-docs.yml@v4.0
     permissions:
       pages: write
       id-token: write
     with:
       gh-pages: true
-      specific-pip-packages: ${{ inputs.specific-pip-packages }}
   style:
-    if: inputs.specific-pip-packages == ''
     secrets:
       token: ${{ secrets.PAT }}
-    uses: ComPWA/actions/.github/workflows/pre-commit.yml@v3.0
+    uses: ComPWA/actions/.github/workflows/pre-commit.yml@v4.0
diff --git a/.github/workflows/clean-caches.yml b/.github/workflows/clean-caches.yml
index 2de0c95..1d3abcc 100644
--- a/.github/workflows/clean-caches.yml
+++ b/.github/workflows/clean-caches.yml
@@ -14,9 +14,9 @@ on:
 jobs:
   cleanup:
     name: Remove caches
-    runs-on: ubuntu-24.04
+    runs-on: ubuntu-slim
     steps:
-      - uses: ComPWA/actions/clean-caches@v3
+      - uses: ComPWA/actions/clean-caches@v4
         with:
           GH_TOKEN: ${{ secrets.GITHUB_TOKEN }}
           ref: ${{ inputs.ref }}
diff --git a/.github/workflows/lock.yml b/.github/workflows/lock.yml
index 5c52c36..b33418e 100644
--- a/.github/workflows/lock.yml
+++ b/.github/workflows/lock.yml
@@ -19,6 +19,6 @@ on:
 
 jobs:
   lock:
-    uses: ComPWA/actions/.github/workflows/lock.yml@v3
+    uses: ComPWA/actions/.github/workflows/lock.yml@v4
     secrets:
       token: ${{ secrets.PAT }}
diff --git a/.github/workflows/pr-linting.yml b/.github/workflows/pr-linting.yml
index 638dfc1..e15b56f 100644
--- a/.github/workflows/pr-linting.yml
+++ b/.github/workflows/pr-linting.yml
@@ -11,4 +11,4 @@ on:
 
 jobs:
   lint-pr:
-    uses: ComPWA/actions/.github/workflows/pr-linting.yml@v3
+    uses: ComPWA/actions/.github/workflows/pr-linting.yml@v4
diff --git a/.gitignore b/.gitignore
index 0534baf..8858c39 100644
--- a/.gitignore
+++ b/.gitignore
@@ -25,7 +25,6 @@ version.py
 .coverage.*
 .ipynb_checkpoints/
 .jupyter_ystore.db
-.mypy*/
 .pytest_cache/
 .virtual_documents/
 __pycache__/
@@ -50,5 +49,4 @@ pyvenv*/
 !.readthedocs.yml
 !.vscode/*.json
 !codecov.yml
-!pyrightconfig.json
 .jupyter_ystore.db
diff --git a/.pre-commit-config.yaml b/.pre-commit-config.yaml
index e0f60da..b957314 100644
--- a/.pre-commit-config.yaml
+++ b/.pre-commit-config.yaml
@@ -1,9 +1,8 @@
 ci:
   autofix_commit_msg: "MAINT: implement pre-commit autofixes"
   autoupdate_commit_msg: "MAINT: upgrade lock files"
-  autoupdate_schedule: quarterly
   skip:
-    - pyright
+    - ty
     - uv-lock
 
 repos:
@@ -13,7 +12,7 @@ repos:
       - id: check-useless-excludes
 
   - repo: https://github.com/ComPWA/policy
-    rev: 0.7.5
+    rev: 0.8.2rc12
     hooks:
       - id: check-dev-files
         args:
@@ -24,13 +23,14 @@ repos:
           - --package-manager=pixi+uv
           - --repo-name=report
           - --repo-title=ComPWA Technical Reports
+          - --type-checker=ty
       - id: colab-toc-visible
       - id: fix-nbformat-version
       - id: remove-empty-tags
       - id: set-nb-display-name
 
   - repo: https://github.com/kynan/nbstripout
-    rev: 0.8.2
+    rev: 0.9.0
     hooks:
       - id: nbstripout
         args:
@@ -77,7 +77,7 @@ repos:
           )$
 
   - repo: https://github.com/astral-sh/ruff-pre-commit
-    rev: v0.14.10
+    rev: v0.14.14
     hooks:
       - id: ruff-check
         args: [--fix]
@@ -106,7 +106,7 @@ repos:
       - id: trailing-whitespace
 
   - repo: https://github.com/ComPWA/prettier-pre-commit
-    rev: v3.4.2
+    rev: v3.8.1
     hooks:
       - id: prettier
 
@@ -123,7 +123,7 @@ repos:
         exclude: (?x)^(.*/Manifest\.toml|.*/Project\.toml)$
 
   - repo: https://github.com/streetsidesoftware/cspell-cli
-    rev: v9.4.0
+    rev: v9.6.0
     hooks:
       - id: cspell
 
@@ -148,12 +148,18 @@ repos:
             docs/_static/favicon.ico
           )$
 
-  - repo: https://github.com/ComPWA/pyright-pre-commit
-    rev: v1.1.407
+  - repo: local
     hooks:
-      - id: pyright
+      - id: ty
+        name: ty
+        entry: ty check
+        args: [--no-progress, --output-format=concise]
+        pass_filenames: false
+        require_serial: true
+        language: system
+        types_or: [python, pyi, jupyter]
 
   - repo: https://github.com/astral-sh/uv-pre-commit
-    rev: 0.9.21
+    rev: 0.9.28
     hooks:
       - id: uv-lock
diff --git a/.prettierignore b/.prettierignore
index ea965b8..e80bda4 100644
--- a/.prettierignore
+++ b/.prettierignore
@@ -1,2 +1,3 @@
 *.ipynb
 LICENSE
+pixi.lock
diff --git a/.vscode/extensions.json b/.vscode/extensions.json
index dddc486..e2e9242 100644
--- a/.vscode/extensions.json
+++ b/.vscode/extensions.json
@@ -1,5 +1,6 @@
 {
   "recommendations": [
+    "astral-sh.ty",
     "charliermarsh.ruff",
     "christian-kohler.path-intellisense",
     "eamodio.gitlens",
@@ -11,7 +12,6 @@
     "julialang.language-julia",
     "mhutchie.git-graph",
     "ms-python.python",
-    "ms-python.vscode-pylance",
     "ms-toolsai.jupyter",
     "ms-toolsai.vscode-jupyter-cell-tags",
     "ms-vscode.live-server",
@@ -33,6 +33,7 @@
     "ms-python.isort",
     "ms-python.mypy-type-checker",
     "ms-python.pylint",
+    "ms-python.vscode-pylance",
     "ms-toolsai.vscode-jupyter-slideshow",
     "travisillig.vscode-json-stable-stringify",
     "tyriar.sort-lines"
diff --git a/.vscode/settings.json b/.vscode/settings.json
index 2c925f2..fb8ebfe 100644
--- a/.vscode/settings.json
+++ b/.vscode/settings.json
@@ -27,8 +27,8 @@
   "diffEditor.experimental.showMoves": true,
   "editor.formatOnSave": true,
   "editor.unicodeHighlight.allowedCharacters": {
-    "\u03bd": true,
-    "\u03c3": true
+    "ν": true,
+    "σ": true
   },
   "files.associations": {
     "**/pixi.lock": "yaml"
@@ -36,6 +36,8 @@
   "git.rebaseWhenSync": true,
   "github-actions.workflows.pinned.workflows": [".github/workflows/ci.yml"],
   "gitlens.telemetry.enabled": false,
+  "julia.environmentPath": "${workspaceFolder}/docs/019",
+  "julia.executablePath": "${workspaceFolder}/.pixi/envs/default/bin/julia",
   "livePreview.defaultPreviewPath": "docs/_build/html",
   "multiDiffEditor.experimental.enabled": true,
   "notebook.codeActionsOnSave": {
@@ -43,7 +45,6 @@
   },
   "notebook.formatOnSave.enabled": true,
   "notebook.gotoSymbols.showAllSymbols": true,
-  "python.analysis.autoImportCompletions": false,
   "python.defaultInterpreterPath": ".venv/bin/python",
   "python.terminal.activateEnvironment": false,
   "python.testing.pytestEnabled": true,
@@ -58,5 +59,8 @@
     "**/tests/**/__init__.py": true,
     "**/uv.lock": true
   },
-  "telemetry.telemetryLevel": "off"
+  "telemetry.telemetryLevel": "off",
+  "ty.completions.autoImport": false,
+  "ty.diagnosticMode": "workspace",
+  "ty.importStrategy": "fromEnvironment"
 }
diff --git a/CONTRIBUTING.md b/CONTRIBUTING.md
index ad272eb..4155ff5 100644
--- a/CONTRIBUTING.md
+++ b/CONTRIBUTING.md
@@ -22,7 +22,7 @@ source .venv/bin/activate
 Formatting and linting checks are automatically performed when committing changes. This is done with [pre-commit](https://pre-commit.com). To install the hooks in your local repository, run install `pre-commit` with `uv`:
 
 ```shell
-uv tool install pre-commit --with pre-commit-uv --force-reinstall
+uv tool install pre-commit --with pre-commit-uv --force-reinstall --python=3.13
 ```
 
 and [`pre-commit install`](https://pre-commit.com/#3-install-the-git-hook-scripts) **once**:
diff --git a/README.md b/README.md
index 26abbb9..09f8c1b 100644
--- a/README.md
+++ b/README.md
@@ -10,8 +10,9 @@
 [![uv](https://img.shields.io/endpoint?url=https://raw.githubusercontent.com/astral-sh/uv/main/assets/badge/v0.json)](https://github.com/astral-sh/uv)
 [![Pixi Badge](https://img.shields.io/endpoint?url=https://raw.githubusercontent.com/prefix-dev/pixi/main/assets/badge/v0.json)](https://pixi.sh)
 [![pre-commit.ci status](https://results.pre-commit.ci/badge/github/ComPWA/report/main.svg)](https://results.pre-commit.ci/latest/github/ComPWA/report/main)
-[![Spelling checked](https://img.shields.io/badge/cspell-checked-brightgreen.svg)](https://github.com/streetsidesoftware/cspell/tree/master/packages/cspell)
+[![Spelling checked](https://img.shields.io/badge/cspell-checked-brightgreen.svg)](https://github.com/streetsidesoftware/cspell/tree/main/packages/cspell)
 [![code style: prettier](https://img.shields.io/badge/code_style-prettier-ff69b4.svg?style=flat-square)](https://github.com/prettier/prettier)
 [![Ruff](https://img.shields.io/endpoint?url=https://raw.githubusercontent.com/charliermarsh/ruff/main/assets/badge/v2.json)](https://github.com/astral-sh/ruff)
+[![ty](https://img.shields.io/endpoint?url=https://raw.githubusercontent.com/astral-sh/ty/main/assets/badge/v0.json)](https://github.com/astral-sh/ty)
 
 This repository contains the source code for [compwa.github.io/report](https://compwa.github.io/report).
diff --git a/docs/000/index.ipynb b/docs/000/index.ipynb
index 2ef58bf..b87106f 100644
--- a/docs/000/index.ipynb
+++ b/docs/000/index.ipynb
@@ -128,8 +128,7 @@
      "output_type": "stream",
      "text": [
       "def _lambdifygenerated(x):\n",
-      "    return (sqrt(x))\n",
-      "\n"
+      "    return (sqrt(x))\n"
      ]
     }
    ],
@@ -156,7 +155,7 @@
      "output_type": "stream",
      "text": [
       "<lambdifygenerated-1>:2: RuntimeWarning: invalid value encountered in sqrt\n",
-      "  return (sqrt(x))\n"
+      "  return (sqrt(x))"
      ]
     },
     {
@@ -222,8 +221,7 @@
      "output_type": "stream",
      "text": [
       "def _lambdifygenerated(x):\n",
-      "    return (sqrt(x))\n",
-      "\n"
+      "    return (sqrt(x))\n"
      ]
     }
    ],
@@ -242,7 +240,7 @@
      "name": "stderr",
      "output_type": "stream",
      "text": [
-      "WARNING:absl:No GPU/TPU found, falling back to CPU. (Set TF_CPP_MIN_LOG_LEVEL=0 and rerun for more info.)\n"
+      "WARNING:absl:No GPU/TPU found, falling back to CPU. (Set TF_CPP_MIN_LOG_LEVEL=0 and rerun for more info.)"
      ]
     },
     {
@@ -440,7 +438,7 @@
       "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
       "\u001b[0;31mValueError\u001b[0m                                Traceback (most recent call last)",
       "Input \u001b[0;32mIn [15]\u001b[0m, in \u001b[0;36m<cell line: 1>\u001b[0;34m()\u001b[0m\n\u001b[0;32m----> 1\u001b[0m \u001b[43mjax_csqrt\u001b[49m\u001b[43m(\u001b[49m\u001b[43msample\u001b[49m\u001b[43m)\u001b[49m\n",
-      "\u001b[0;31mValueError\u001b[0m: Non-hashable static arguments are not supported. An error occured while trying to hash an object of type <class 'numpy.ndarray'>, [-1.  -0.5  0.   0.5  1. ]. The error was:\nTypeError: unhashable type: 'numpy.ndarray'\n"
+      "\u001b[0;31mValueError\u001b[0m: Non-hashable static arguments are not supported. An error occured while trying to hash an object of type <class 'numpy.ndarray'>, [-1.  -0.5  0.   0.5  1. ]. The error was:\nTypeError: unhashable type: 'numpy.ndarray'"
      ]
     }
    ],
@@ -557,8 +555,7 @@
      "output_type": "stream",
      "text": [
       "def _lambdifygenerated(x):\n",
-      "    return (((1j*sqrt(-x)) if (x < 0) else (sqrt(x))))\n",
-      "\n"
+      "    return (((1j*sqrt(-x)) if (x < 0) else (sqrt(x))))\n"
      ]
     }
    ],
@@ -692,8 +689,7 @@
       "        [less(x, 0), True],\n",
       "        [1j * sqrt(-x), sqrt(x)],\n",
       "        default=nan,\n",
-      "    )\n",
-      "\n"
+      "    )\n"
      ]
     }
    ],
@@ -718,8 +714,7 @@
      "output_type": "stream",
      "text": [
       "def _lambdifygenerated(x):\n",
-      "    return (((1j*sqrt(-x)) if (x < 0) else (sqrt(x))))\n",
-      "\n"
+      "    return (((1j*sqrt(-x)) if (x < 0) else (sqrt(x))))\n"
      ]
     }
    ],
@@ -767,8 +762,7 @@
       "        [less(x, 0), True],\n",
       "        [1j * sqrt(-x), sqrt(x)],\n",
       "        default=nan,\n",
-      "    )\n",
-      "\n"
+      "    )\n"
      ]
     }
    ],
diff --git a/docs/001/index.ipynb b/docs/001/index.ipynb
index 9ebe0a3..6fa98aa 100644
--- a/docs/001/index.ipynb
+++ b/docs/001/index.ipynb
@@ -262,8 +262,7 @@
      "output_type": "stream",
      "text": [
       "def _lambdifygenerated(x):\n",
-      "    return (csqrt(x))\n",
-      "\n"
+      "    return (csqrt(x))\n"
      ]
     }
    ],
@@ -287,8 +286,7 @@
      "output_type": "stream",
      "text": [
       "def _lambdifygenerated(x):\n",
-      "    return (scimath.sqrt(x))\n",
-      "\n"
+      "    return (scimath.sqrt(x))\n"
      ]
     }
    ],
@@ -382,7 +380,7 @@
       "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
       "\u001b[0;31mValueError\u001b[0m                                Traceback (most recent call last)",
       "\u001b[0;32m<ipython-input-12-94f797bd7204>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0mjax_lambdified\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0msample\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
-      "\u001b[0;31mValueError\u001b[0m: Non-hashable static arguments are not supported. An error occured while trying to hash an object of type <class 'numpy.ndarray'>, [-1.  -0.5  0.   0.5  1. ]. The error was:\nTypeError: unhashable type: 'numpy.ndarray'\n"
+      "\u001b[0;31mValueError\u001b[0m: Non-hashable static arguments are not supported. An error occured while trying to hash an object of type <class 'numpy.ndarray'>, [-1.  -0.5  0.   0.5  1. ]. The error was:\nTypeError: unhashable type: 'numpy.ndarray'"
      ]
     }
    ],
@@ -469,8 +467,7 @@
       "        [less(x, 0), True],\n",
       "        [1j * sqrt(-x), sqrt(x)],\n",
       "        default=nan,\n",
-      "    )\n",
-      "\n"
+      "    )\n"
      ]
     }
    ],
@@ -510,8 +507,7 @@
       "        [less(x, 0), True],\n",
       "        [1j * sqrt(-x), sqrt(x)],\n",
       "        default=nan,\n",
-      "    )\n",
-      "\n"
+      "    )\n"
      ]
     }
    ],
@@ -533,7 +529,7 @@
      "name": "stderr",
      "output_type": "stream",
      "text": [
-      "WARNING:absl:No GPU/TPU found, falling back to CPU. (Set TF_CPP_MIN_LOG_LEVEL=0 and rerun for more info.)\n"
+      "WARNING:absl:No GPU/TPU found, falling back to CPU. (Set TF_CPP_MIN_LOG_LEVEL=0 and rerun for more info.)"
      ]
     },
     {
@@ -608,7 +604,7 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "1.91 ms ± 116 µs per loop (mean ± std. dev. of 7 runs, 100 loops each)\n"
+      "1.91 ms ± 116 µs per loop (mean ± std. dev. of 7 runs, 100 loops each)"
      ]
     }
    ],
@@ -629,7 +625,7 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "6.31 ms ± 42.6 µs per loop (mean ± std. dev. of 7 runs, 100 loops each)\n"
+      "6.31 ms ± 42.6 µs per loop (mean ± std. dev. of 7 runs, 100 loops each)"
      ]
     }
    ],
@@ -652,14 +648,14 @@
      "output_type": "stream",
      "text": [
       "<lambdifygenerated-3>:2: RuntimeWarning: invalid value encountered in sqrt\n",
-      "  return (select([less(x, 0), True], [1j * sqrt(-x), sqrt(x)], default=nan,))\n"
+      "  return (select([less(x, 0), True], [1j * sqrt(-x), sqrt(x)], default=nan,))"
      ]
     },
     {
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "16.9 ms ± 614 µs per loop (mean ± std. dev. of 7 runs, 100 loops each)\n"
+      "16.9 ms ± 614 µs per loop (mean ± std. dev. of 7 runs, 100 loops each)"
      ]
     }
    ],
diff --git a/docs/001/uv.lock b/docs/001/uv.lock
index b02a824..19d2ac4 100644
--- a/docs/001/uv.lock
+++ b/docs/001/uv.lock
@@ -4,7 +4,7 @@ requires-python = "==3.13.*"
 
 [[package]]
 name = "black"
-version = "25.9.0"
+version = "26.1.0"
 source = { registry = "https://pypi.org/simple" }
 dependencies = [
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@@ -14,25 +14,26 @@ dependencies = [
     { name = "platformdirs" },
     { name = "pytokens" },
 ]
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 [[package]]
 name = "click"
-version = "8.3.0"
+version = "8.3.1"
 source = { registry = "https://pypi.org/simple" }
 dependencies = [
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 [[package]]
@@ -88,24 +89,24 @@ wheels = [
 
 [[package]]
 name = "fonttools"
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 [[package]]
diff --git a/docs/002/index.ipynb b/docs/002/index.ipynb
index efbb03d..5bd34b4 100644
--- a/docs/002/index.ipynb
+++ b/docs/002/index.ipynb
@@ -5,6 +5,7 @@
    "metadata": {},
    "source": [
     "```{autolink-concat}\n",
+    "\n",
     "```"
    ]
   },
@@ -68,10 +69,6 @@
    },
    "outputs": [],
    "source": [
-    "%config InlineBackend.figure_formats = ['svg']\n",
-    "\n",
-    "from __future__ import annotations\n",
-    "\n",
     "import inspect\n",
     "import logging\n",
     "import timeit\n",
@@ -86,12 +83,14 @@
     "import qrules\n",
     "import sympy as sp\n",
     "from ampform.dynamics.builder import create_relativistic_breit_wigner_with_ff\n",
+    "from matplotlib_inline.backend_inline import set_matplotlib_formats\n",
     "from tensorwaves.data import generate_phsp\n",
     "from tensorwaves.data.phasespace import TFUniformRealNumberGenerator\n",
     "from tensorwaves.data.transform import HelicityTransformer\n",
     "from tensorwaves.model import LambdifiedFunction, SympyModel\n",
     "\n",
-    "LOGGER = logging.getLogger()"
+    "LOGGER = logging.getLogger()\n",
+    "set_matplotlib_formats(\"svg\")"
    ]
   },
   {
@@ -491,6 +490,7 @@
    "metadata": {},
    "source": [
     "```{autolink-skip}\n",
+    "\n",
     "```"
    ]
   },
@@ -508,7 +508,7 @@
      "output_type": "stream",
      "text": [
       "CPU times: user 1.46 s, sys: 703 µs, total: 1.46 s\n",
-      "Wall time: 1.46 s\n"
+      "Wall time: 1.46 s"
      ]
     }
    ],
@@ -557,6 +557,7 @@
    "metadata": {},
    "source": [
     "```{autolink-skip}\n",
+    "\n",
     "```"
    ]
   },
@@ -576,7 +577,7 @@
       "INFO:root:Lambdifying I1\n",
       "INFO:root:Lambdifying I2\n",
       "INFO:root:Lambdifying I3\n",
-      "INFO:root:Lambdifying I4\n"
+      "INFO:root:Lambdifying I4"
      ]
     },
     {
@@ -584,7 +585,7 @@
      "output_type": "stream",
      "text": [
       "CPU times: user 1.56 s, sys: 4.94 ms, total: 1.56 s\n",
-      "Wall time: 1.56 s\n"
+      "Wall time: 1.56 s"
      ]
     }
    ],
@@ -611,6 +612,7 @@
    "metadata": {},
    "source": [
     "```{autolink-skip}\n",
+    "\n",
     "```"
    ]
   },
@@ -634,7 +636,7 @@
       "INFO:root:Lambdifying A5\n",
       "INFO:root:Lambdifying A6\n",
       "INFO:root:Lambdifying A7\n",
-      "INFO:root:Lambdifying A8\n"
+      "INFO:root:Lambdifying A8"
      ]
     },
     {
@@ -642,7 +644,7 @@
      "output_type": "stream",
      "text": [
       "CPU times: user 547 ms, sys: 3.85 ms, total: 550 ms\n",
-      "Wall time: 547 ms\n"
+      "Wall time: 547 ms"
      ]
     }
    ],
@@ -731,8 +733,7 @@
      "output_type": "stream",
      "text": [
       "def _lambdifygenerated(A1, A2, A3, A4, A5, A6, A7, A8):\n",
-      "    return (abs(A1 + A2)**2 + abs(A3 + A4)**2 + abs(A5 + A6)**2 + abs(A7 + A8)**2)\n",
-      "\n"
+      "    return (abs(A1 + A2)**2 + abs(A3 + A4)**2 + abs(A5 + A6)**2 + abs(A7 + A8)**2)\n"
      ]
     }
    ],
@@ -1462,6 +1463,7 @@
    "metadata": {},
    "source": [
     "```{autolink-skip}\n",
+    "\n",
     "```"
    ]
   },
@@ -1479,7 +1481,7 @@
      "output_type": "stream",
      "text": [
       "CPU times: user 314 ms, sys: 135 µs, total: 314 ms\n",
-      "Wall time: 313 ms\n"
+      "Wall time: 313 ms"
      ]
     },
     {
@@ -1566,6 +1568,7 @@
    "metadata": {},
    "source": [
     "```{autolink-skip}\n",
+    "\n",
     "```"
    ]
   },
@@ -1583,7 +1586,7 @@
      "output_type": "stream",
      "text": [
       "CPU times: user 7 µs, sys: 1 µs, total: 8 µs\n",
-      "Wall time: 15.5 µs\n"
+      "Wall time: 15.5 µs"
      ]
     }
    ],
@@ -1704,6 +1707,7 @@
    "metadata": {},
    "source": [
     "```{autolink-skip}\n",
+    "\n",
     "```"
    ]
   },
@@ -1721,7 +1725,7 @@
      "output_type": "stream",
      "text": [
       "CPU times: user 8 µs, sys: 1 µs, total: 9 µs\n",
-      "Wall time: 17.4 µs\n"
+      "Wall time: 17.4 µs"
      ]
     }
    ],
@@ -1887,6 +1891,7 @@
    "metadata": {},
    "source": [
     "```{autolink-skip} section\n",
+    "\n",
     "```"
    ]
   },
@@ -1904,7 +1909,7 @@
      "output_type": "stream",
      "text": [
       "CPU times: user 4.57 s, sys: 3.16 ms, total: 4.57 s\n",
-      "Wall time: 4.57 s\n"
+      "Wall time: 4.57 s"
      ]
     }
    ],
@@ -1928,7 +1933,7 @@
      "output_type": "stream",
      "text": [
       "CPU times: user 261 ms, sys: 87 µs, total: 262 ms\n",
-      "Wall time: 260 ms\n"
+      "Wall time: 260 ms"
      ]
     }
    ],
diff --git a/docs/003/index.ipynb b/docs/003/index.ipynb
index 2193394..7fe641d 100644
--- a/docs/003/index.ipynb
+++ b/docs/003/index.ipynb
@@ -1049,7 +1049,7 @@
       "CPU times: user 751 ms, sys: 201 μs, total: 751 ms\n",
       "Wall time: 752 ms\n",
       "CPU times: user 266 ms, sys: 0 ns, total: 266 ms\n",
-      "Wall time: 266 ms\n"
+      "Wall time: 266 ms"
      ]
     }
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diff --git a/docs/003/uv.lock b/docs/003/uv.lock
index dcaed0d..cb2a52b 100644
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diff --git a/docs/005/index.ipynb b/docs/005/index.ipynb
index 9a92556..dd8169b 100644
--- a/docs/005/index.ipynb
+++ b/docs/005/index.ipynb
@@ -276,7 +276,7 @@
     "\n",
     "[^2]: We use {class}`~sympy.core.symbol.Symbol`s as indices, because that renders more nicely.\n",
     "\n",
-    "[^3]: Of course, there is no need to work with matrices in this $1 \\times 1$ case. To keeps things general, however, we keep using matrices.\n"
+    "[^3]: Of course, there is no need to work with matrices in this $1 \\times 1$ case. To keeps things general, however, we keep using matrices."
    ]
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   {
diff --git a/docs/005/uv.lock b/docs/005/uv.lock
index 2ca0046..7bca30a 100644
--- a/docs/005/uv.lock
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diff --git a/docs/011/index.ipynb b/docs/011/index.ipynb
index 6d36052..388c5d2 100644
--- a/docs/011/index.ipynb
+++ b/docs/011/index.ipynb
@@ -5,6 +5,7 @@
    "metadata": {},
    "source": [
     "```{autolink-concat}\n",
+    "\n",
     "```"
    ]
   },
@@ -21,7 +22,7 @@
     ":::{card} Helicity angles as symbolic expressions\n",
     "TR-011\n",
     "^^^\n",
-    "This report has been implemented in and [ampform#177](https://github.com/ComPWA/ampform/issues/177) and  [tensorwaves#345](https://github.com/ComPWA/tensorwaves/issues/345). The report contains some bugs which were also addressed in these PRs.\n",
+    "This report has been implemented in and [ampform#177](https://github.com/ComPWA/ampform/issues/177) and [tensorwaves#345](https://github.com/ComPWA/tensorwaves/issues/345). The report contains some bugs which were also addressed in these PRs.\n",
     "+++\n",
     "✅&nbsp;[ampform#177](https://github.com/ComPWA/ampform/issues/177), [tensorwaves#345](https://github.com/ComPWA/tensorwaves/issues/345)\n",
     ":::\n",
@@ -61,10 +62,7 @@
    },
    "outputs": [],
    "source": [
-    "from __future__ import annotations\n",
-    "\n",
     "import inspect\n",
-    "from typing import TYPE_CHECKING\n",
     "\n",
     "import black\n",
     "import graphviz\n",
@@ -85,10 +83,8 @@
     "from IPython.display import Math, display\n",
     "from qrules.topology import Topology, create_isobar_topologies\n",
     "from sympy.printing.numpy import NumPyPrinter\n",
-    "from sympy.tensor.array.expressions.array_expressions import ArraySlice, ArraySymbol\n",
-    "\n",
-    "if TYPE_CHECKING:\n",
-    "    from sympy.printing.printer import Printer"
+    "from sympy.printing.printer import Printer\n",
+    "from sympy.tensor.array.expressions.array_expressions import ArraySlice, ArraySymbol"
    ]
   },
   {
@@ -486,8 +482,7 @@
       "        ArrayMultiplication(\n",
       "            BoostZ(beta), RotationY(-theta), RotationZ(-phi), p\n",
       "        )\n",
-      "    )\n",
-      "\n"
+      "    )\n"
      ]
     }
    ],
@@ -558,8 +553,7 @@
       "                \"ij...,j...\", transpose(theta, axes=(1, 2, 0)), transpose(p)\n",
       "            )\n",
       "        ),\n",
-      "    )\n",
-      "\n"
+      "    )\n"
      ]
     }
    ],
@@ -612,8 +606,7 @@
       "                )\n",
       "            ),\n",
       "        )\n",
-      "    )\n",
-      "\n"
+      "    )\n"
      ]
     }
    ],
@@ -835,8 +828,7 @@
       "                ),\n",
       "            )\n",
       "        ),\n",
-      "    )\n",
-      "\n"
+      "    )\n"
      ]
     }
    ],
@@ -1369,8 +1361,7 @@
      "output_type": "stream",
      "text": [
       "def _lambdifygenerated(A):\n",
-      "    return sum(A, axis=1)\n",
-      "\n"
+      "    return sum(A, axis=1)\n"
      ]
     }
    ],
@@ -1873,6 +1864,7 @@
     "Now it's quite trivial to rewrite the [existing implementation](https://github.com/ComPWA/ampform/blob/307bbb1a09e75a320fe812945d7f0c7e0cdcc9f8/src/ampform/kinematics.py#L204-L280) with the classes defined above.\n",
     "\n",
     "```{autolink-skip}\n",
+    "\n",
     "```"
    ]
   },
@@ -2026,7 +2018,6 @@
      "text": [
       "def _lambdifygenerated(p0, p1, p2, p3):\n",
       "    return arctan2((p1 + p2 + p3)[:, 2], (p1 + p2 + p3)[:, 1])\n",
-      "\n",
       "\n"
      ]
     },
@@ -2053,7 +2044,6 @@
       "        (p1 + p2 + p3)[:, 3]\n",
       "        * sum((p1 + p2 + p3)[:, 1:] ** 2, axis=1) ** (-1 / 2)\n",
       "    )\n",
-      "\n",
       "\n"
      ]
     },
@@ -4542,7 +4532,6 @@
       "            )\n",
       "        )[:, 1],\n",
       "    )\n",
-      "\n",
       "\n"
      ]
     }
@@ -4600,6 +4589,7 @@
    "metadata": {},
    "source": [
     "```{autolink-skip}\n",
+    "\n",
     "```"
    ]
   },
@@ -4616,7 +4606,7 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "phi_1+2+3\n"
+      "phi_1+2+3"
      ]
     },
     {
@@ -4644,7 +4634,7 @@
       "CPU times: user 2.48 ms, sys: 6.56 ms, total: 9.04 ms\n",
       "Wall time: 7.77 ms\n",
       "\n",
-      "theta_1+2+3\n"
+      "theta_1+2+3"
      ]
     },
     {
@@ -4672,7 +4662,7 @@
       "CPU times: user 5.13 ms, sys: 297 µs, total: 5.43 ms\n",
       "Wall time: 4.93 ms\n",
       "\n",
-      "phi_2+3,1+2+3\n"
+      "phi_2+3,1+2+3"
      ]
     },
     {
@@ -4700,7 +4690,7 @@
       "CPU times: user 34.1 ms, sys: 0 ns, total: 34.1 ms\n",
       "Wall time: 33.1 ms\n",
       "\n",
-      "theta_2+3,1+2+3\n"
+      "theta_2+3,1+2+3"
      ]
     },
     {
@@ -4728,7 +4718,7 @@
       "CPU times: user 36.1 ms, sys: 451 µs, total: 36.6 ms\n",
       "Wall time: 35.5 ms\n",
       "\n",
-      "phi_2,2+3,1+2+3\n"
+      "phi_2,2+3,1+2+3"
      ]
     },
     {
@@ -4756,7 +4746,7 @@
       "CPU times: user 1.25 s, sys: 162 ms, total: 1.42 s\n",
       "Wall time: 1.41 s\n",
       "\n",
-      "theta_2,2+3,1+2+3\n"
+      "theta_2,2+3,1+2+3"
      ]
     },
     {
@@ -4782,8 +4772,7 @@
      "output_type": "stream",
      "text": [
       "CPU times: user 1.22 s, sys: 166 ms, total: 1.38 s\n",
-      "Wall time: 1.38 s\n",
-      "\n"
+      "Wall time: 1.38 s\n"
      ]
     }
    ],
diff --git a/docs/012/index.ipynb b/docs/012/index.ipynb
index a21b24d..415982f 100644
--- a/docs/012/index.ipynb
+++ b/docs/012/index.ipynb
@@ -289,7 +289,7 @@
      "output_type": "stream",
      "text": [
       "14.7 ms ± 761 µs per loop (mean ± std. dev. of 7 runs, 10 loops each)\n",
-      "14.7 ms ± 669 µs per loop (mean ± std. dev. of 7 runs, 10 loops each)\n"
+      "14.7 ms ± 669 µs per loop (mean ± std. dev. of 7 runs, 10 loops each)"
      ]
     }
    ],
diff --git a/docs/012/uv.lock b/docs/012/uv.lock
index 423952b..7ac3a1f 100644
--- a/docs/012/uv.lock
+++ b/docs/012/uv.lock
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diff --git a/docs/013/uv.lock b/docs/013/uv.lock
index 7a0d516..db0f00c 100644
--- a/docs/013/uv.lock
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index 9335635..40ddab6 100644
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diff --git a/docs/018/uv.lock b/docs/018/uv.lock
index b0b0ef3..b1dbff9 100644
--- a/docs/018/uv.lock
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diff --git a/docs/019/index.ipynb b/docs/019/index.ipynb
index 62ab514..aaea328 100644
--- a/docs/019/index.ipynb
+++ b/docs/019/index.ipynb
@@ -57,7 +57,7 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Hello world!\n"
+      "Hello world!"
      ]
     }
    ],
@@ -125,7 +125,7 @@
       "                                                           **                   \n",
       "                                                                                \n",
       "                                                                                \n",
-      "                                                                                \n"
+      "                                                                                "
      ]
     }
    ],
diff --git a/docs/020/index.ipynb b/docs/020/index.ipynb
index 70a500b..73c32db 100644
--- a/docs/020/index.ipynb
+++ b/docs/020/index.ipynb
@@ -1046,7 +1046,7 @@
      "output_type": "stream",
      "text": [
       "CPU times: user 22 s, sys: 188 ms, total: 22.2 s\n",
-      "Wall time: 8.56 s\n"
+      "Wall time: 8.56 s"
      ]
     },
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@@ -1102,7 +1102,7 @@
      "output_type": "stream",
      "text": [
       "CPU times: user 2.5 s, sys: 12.6 ms, total: 2.51 s\n",
-      "Wall time: 953 ms\n"
+      "Wall time: 953 ms"
      ]
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@@ -1158,7 +1158,7 @@
      "output_type": "stream",
      "text": [
       "CPU times: user 45.3 s, sys: 393 ms, total: 45.7 s\n",
-      "Wall time: 17.2 s\n"
+      "Wall time: 17.2 s"
      ]
     },
     {
@@ -1276,7 +1276,7 @@
      "text": [
       "\n",
       "Confidence interval on \\Gamma_{f_{0}(500)}:\n",
-      "\t0.3964206394323228 < \\Gamma_{f_{0}(500)} < 0.44257337109434974 at 67.2% C.L.\n"
+      "\t0.3964206394323228 < \\Gamma_{f_{0}(500)} < 0.44257337109434974 at 67.2% C.L."
      ]
     }
    ],
diff --git a/docs/020/uv.lock b/docs/020/uv.lock
index 58d3867..44651b3 100644
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+++ b/docs/020/uv.lock
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 [[package]]
diff --git a/docs/021/index.ipynb b/docs/021/index.ipynb
index 2493129..7535ad6 100644
--- a/docs/021/index.ipynb
+++ b/docs/021/index.ipynb
@@ -298,7 +298,7 @@
        "<tr><td>\\(\\Lambda(1520) \\to p K^{-}\\)</td><td>\\(3/2^-\\)</td><td>1519</td><td>16</td><td>2</td><td>1</td></tr>\n",
        "<tr><td>\\(\\Lambda(1670) \\to p K^{-}\\)</td><td>\\(1/2^-\\)</td><td>1674</td><td>30</td><td>0</td><td>0</td></tr>\n",
        "<tr><td>\\(\\Delta(1232)^{++} \\to p \\pi^{+}\\)</td><td>\\(3/2^+\\)</td><td>1232</td><td>117</td><td>1</td><td>1</td></tr>\n",
-       "</table>\n"
+       "</table>"
       ],
       "text/plain": [
        "<IPython.core.display.HTML object>"
@@ -2245,12 +2245,12 @@
     "def set_coupling_to_zero(filter_pattern):\n",
     "    if isinstance(filter_pattern, Combobox):\n",
     "        filter_pattern = filter_pattern.value\n",
-    "    for name, _slider in sliders.items():\n",
+    "    for name, slider in sliders.items():\n",
     "        if not name.startswith(R\"\\mathcal{H}\"):\n",
     "            continue\n",
     "        if filter_pattern not in name:\n",
     "            continue\n",
-    "        set_slider(_slider, 0)\n",
+    "        set_slider(slider, 0)\n",
     "\n",
     "\n",
     "def set_slider(slider, value):\n",
diff --git a/docs/021/uv.lock b/docs/021/uv.lock
index c4fd092..efad80f 100644
--- a/docs/021/uv.lock
+++ b/docs/021/uv.lock
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 [[package]]
diff --git a/docs/024/index.ipynb b/docs/024/index.ipynb
index 76ffefe..b669bfc 100644
--- a/docs/024/index.ipynb
+++ b/docs/024/index.ipynb
@@ -5,6 +5,7 @@
    "metadata": {},
    "source": [
     "```{autolink-concat}\n",
+    "\n",
     "```"
    ]
   },
@@ -20,7 +21,9 @@
     ":::{card} Symbolic expressions and model serialization\n",
     "TR-024\n",
     "^^^\n",
+    "\n",
     "<!--- cspell:ignore COMAP dodgerblue dummify fillcolor indianred srepr --->\n",
+    "\n",
     "Investigation into dumping SymPy expressions to human-readable format for model preservation. The notebook was motivated by the [COMAP-V workshop on analysis preservation](https://indico.cern.ch/event/1348003/). See also SymPy [printing](https://docs.sympy.org/latest/modules/printing.html), [parsing](https://docs.sympy.org/latest/modules/parsing.html), and [expression manipulation](https://docs.sympy.org/latest/tutorials/intro-tutorial/manipulation.html).\n",
     "+++\n",
     "🚧&nbsp;[polarimetry#319](https://github.com/ComPWA/polarimetry/pull/319)\n",
diff --git a/docs/024/uv.lock b/docs/024/uv.lock
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index 3b5ee61..7862a74 100644
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index ac18946..d5562f8 100644
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diff --git a/docs/027/index.ipynb b/docs/027/index.ipynb
index 6056c35..edd95cc 100644
--- a/docs/027/index.ipynb
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-    "# Coupled channel Riemann sheets\n"
+    "# Coupled channel Riemann sheets"
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index 994f6dd..c67dfc9 100644
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diff --git a/docs/028/index.ipynb b/docs/028/index.ipynb
index 72b0f1b..b9ab6f0 100644
--- a/docs/028/index.ipynb
+++ b/docs/028/index.ipynb
@@ -364,7 +364,7 @@
       "         Upsilon(3S) → g g g\n",
       "                   Z → g g g\n",
       "                   Z → gamma gamma gamma\n",
-      "             psi(2S) → g g g\n"
+      "             psi(2S) → g g g"
      ]
     }
    ],
diff --git a/docs/028/uv.lock b/docs/028/uv.lock
index b392efe..af4d9b4 100644
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index 3bdd313..966cc1e 100644
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 [[package]]
diff --git a/docs/030/index.ipynb b/docs/030/index.ipynb
index 699b904..1466f14 100644
--- a/docs/030/index.ipynb
+++ b/docs/030/index.ipynb
@@ -5,6 +5,7 @@
    "metadata": {},
    "source": [
     "```{autolink-concat}\n",
+    "\n",
     "```"
    ]
   },
@@ -231,9 +232,9 @@
    "source": [
     "@define\n",
     "class DynamicsSymbolBuilder:\n",
-    "    collected_symbols: set[sp.Symbol, tuple[Particle, TwoBodyKinematicVariableSet]] = (\n",
-    "        field(factory=lambda: defaultdict(set))\n",
-    "    )\n",
+    "    collected_symbols: dict[\n",
+    "        sp.Symbol, set[tuple[Particle, TwoBodyKinematicVariableSet]]\n",
+    "    ] = field(factory=lambda: defaultdict(set))\n",
     "\n",
     "    def __call__(\n",
     "        self, resonance: Particle, variable_pool: TwoBodyKinematicVariableSet\n",
@@ -863,7 +864,7 @@
    "cell_type": "markdown",
    "metadata": {},
    "source": [
-    "##  Generate data"
+    "## Generate data"
    ]
   },
   {
diff --git a/docs/030/uv.lock b/docs/030/uv.lock
index 20fdb2d..dba1764 100644
--- a/docs/030/uv.lock
+++ b/docs/030/uv.lock
@@ -4,16 +4,16 @@ requires-python = "==3.13.*"
 
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diff --git a/docs/031/index.ipynb b/docs/031/index.ipynb
index 69af55c..53642a0 100644
--- a/docs/031/index.ipynb
+++ b/docs/031/index.ipynb
@@ -5,6 +5,7 @@
    "metadata": {},
    "source": [
     "```{autolink-concat}\n",
+    "\n",
     "```"
    ]
   },
@@ -239,9 +240,9 @@
    "source": [
     "@define\n",
     "class DynamicsSymbolBuilder:\n",
-    "    collected_symbols: set[sp.Symbol, tuple[Particle, TwoBodyKinematicVariableSet]] = (\n",
-    "        field(factory=lambda: defaultdict(set))\n",
-    "    )\n",
+    "    collected_symbols: dict[\n",
+    "        sp.Symbol, set[tuple[Particle, TwoBodyKinematicVariableSet]]\n",
+    "    ] = field(factory=lambda: defaultdict(set))\n",
     "\n",
     "    def __call__(\n",
     "        self, resonance: Particle, variable_pool: TwoBodyKinematicVariableSet\n",
@@ -776,7 +777,7 @@
    "cell_type": "markdown",
    "metadata": {},
    "source": [
-    "##  Generate data"
+    "## Generate data"
    ]
   },
   {
@@ -1064,7 +1065,7 @@
    "cell_type": "markdown",
    "metadata": {},
    "source": [
-    "### Weighted data with $F$ vector "
+    "### Weighted data with $F$ vector"
    ]
   },
   {
diff --git a/docs/031/uv.lock b/docs/031/uv.lock
index 98b5ffd..3d24fe4 100644
--- a/docs/031/uv.lock
+++ b/docs/031/uv.lock
@@ -1,19 +1,24 @@
 version = 1
 revision = 3
 requires-python = "==3.13.*"
+resolution-markers = [
+    "sys_platform == 'win32'",
+    "sys_platform == 'emscripten'",
+    "sys_platform != 'emscripten' and sys_platform != 'win32'",
+]
 
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 [package.optional-dependencies]
@@ -55,11 +60,11 @@ wheels = [
 
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@@ -89,11 +94,11 @@ wheels = [
 
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 name = "cloudpickle"
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+    { url = "https://files.pythonhosted.org/packages/88/39/799be3f2f0f38cc727ee3b4f1445fe6d5e4133064ec2e4115069418a5bb6/cloudpickle-3.1.2-py3-none-any.whl", hash = "sha256:9acb47f6afd73f60dc1df93bb801b472f05ff42fa6c84167d25cb206be1fbf4a", size = 22228, upload-time = "2025-11-03T09:25:25.534Z" },
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@@ -179,48 +184,45 @@ wheels = [
 
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diff --git a/docs/032/index.ipynb b/docs/032/index.ipynb
index 689a941..3779139 100644
--- a/docs/032/index.ipynb
+++ b/docs/032/index.ipynb
@@ -5,6 +5,7 @@
    "metadata": {},
    "source": [
     "```{autolink-concat}\n",
+    "\n",
     "```"
    ]
   },
@@ -255,9 +256,9 @@
    "source": [
     "@define\n",
     "class DynamicsSymbolBuilder:\n",
-    "    collected_symbols: set[sp.Symbol, tuple[Particle, TwoBodyKinematicVariableSet]] = (\n",
-    "        field(factory=lambda: defaultdict(set))\n",
-    "    )\n",
+    "    collected_symbols: dict[\n",
+    "        sp.Symbol, set[tuple[Particle, TwoBodyKinematicVariableSet]]\n",
+    "    ] = field(factory=lambda: defaultdict(set))\n",
     "\n",
     "    def __call__(\n",
     "        self, resonance: Particle, variable_pool: TwoBodyKinematicVariableSet\n",
@@ -937,7 +938,7 @@
    "cell_type": "markdown",
    "metadata": {},
    "source": [
-    "##  Generate data"
+    "## Generate data"
    ]
   },
   {
@@ -1247,7 +1248,7 @@
    "cell_type": "markdown",
    "metadata": {},
    "source": [
-    "### Initial parameters "
+    "### Initial parameters"
    ]
   },
   {
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index 20fdb2d..dba1764 100644
--- a/docs/032/uv.lock
+++ b/docs/032/uv.lock
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 ]
diff --git a/docs/033/index.ipynb b/docs/033/index.ipynb
index d454118..3cb6531 100644
--- a/docs/033/index.ipynb
+++ b/docs/033/index.ipynb
@@ -9,6 +9,7 @@
    },
    "source": [
     "```{autolink-concat}\n",
+    "\n",
     "```"
    ]
   },
@@ -55,7 +56,7 @@
    "metadata": {},
    "source": [
     ":::{seealso}\n",
-    "A follow-up tutorial,  [PWA101 v2.0](https://compwa.github.io/gluex-nstar), is being prepared in [ComPWA/gluex-nstar#13](https://github.com/ComPWA/gluex-nstar/pull/13). Whereas this report focuses on common, numerical Python libraries, v2.0 formulates the amplitude model with a {doc}`symbolic approach<compwa:symbolics>`.\n",
+    "A follow-up tutorial, [PWA101 v2.0](https://compwa.github.io/gluex-nstar), is being prepared in [ComPWA/gluex-nstar#13](https://github.com/ComPWA/gluex-nstar/pull/13). Whereas this report focuses on common, numerical Python libraries, v2.0 formulates the amplitude model with a {doc}`symbolic approach<compwa:symbolics>`.\n",
     ":::"
    ]
   },
@@ -89,11 +90,10 @@
    },
    "outputs": [],
    "source": [
-    "from __future__ import annotations\n",
-    "\n",
     "import logging\n",
     "import os\n",
     "import warnings\n",
+    "from collections.abc import Callable\n",
     "\n",
     "import matplotlib as mpl\n",
     "import matplotlib.pyplot as plt\n",
@@ -118,6 +118,7 @@
    "metadata": {},
    "source": [
     "(amplitude-model)=\n",
+    "\n",
     "## Amplitude model"
    ]
   },
@@ -135,6 +136,7 @@
    "metadata": {},
    "source": [
     "<!-- cspell:ignore Mathieu -->\n",
+    "\n",
     "This amplitude model is adapted from the [Lecture 11 in STRONG2020 HaSP School](https://indico.ific.uv.es/event/6803/contributions/21223/) by Vincent Mathieu.\n",
     "\n",
     "The reaction $ \\gamma p \\to \\eta \\pi^0 p$ is one of the reaction channels that are studied in photo-production experiments like [GlueX](http://www.gluex.org). For simplicity, we assume that the decay proceeds through three possible resonances—$a_2$, $\\Delta^+$, and $N^*$—with each in a different subsystem."
@@ -170,7 +172,8 @@
     "A^{23} &=& \\frac{\\sum b_m Y_1^m (\\Omega_2)}{s_{23}-m^2_{\\Delta}+im_{\\Delta} \\Gamma_{\\Delta}} \\times s_{23}^{0.5+0.9t_1} \\,, \\nonumber \\\\\n",
     "A^{31} &=& \\frac{c_0}{s_{31}-m^2_{N^*}+im_{N^*} \\Gamma_{N^*}} \\times s_{31}^{1.08+0.2t_2} \\,,\n",
     "\\end{eqnarray}\n",
-    "$$ (full-model-with-exponential)"
+    "$$ (full-model-with-exponential)\n",
+    "$$"
    ]
   },
   {
@@ -194,7 +197,7 @@
    "metadata": {},
    "source": [
     "The original full amplitude model from the [Lecture 11 in STRONG2020 HaSP School](https://indico.ific.uv.es/event/6803/contributions/21223/) is shown in Equation {eq}`full-model-with-exponential`.\n",
-    "*In this report, only the Breit–Wigner and Spherical harmonics terms are kept, while the exponential factor is abandoned, i.e.*"
+    "_In this report, only the Breit–Wigner and Spherical harmonics terms are kept, while the exponential factor is abandoned, i.e._"
    ]
   },
   {
@@ -207,7 +210,8 @@
     "A^{23} &=& \\frac{\\sum b_m Y_1^m (\\Omega_2)}{s_{23}-m^2_{\\Delta}+im_{\\Delta} \\Gamma_{\\Delta}} \\,, \\\\\n",
     "A^{31} &=& \\frac{c_0}{s_{31}-m^2_{N^*}+im_{N^*} \\Gamma_{N^*}} \\,.\n",
     "\\end{eqnarray}\n",
-    "$$ (model-dynamics-and-angular)"
+    "$$ (model-dynamics-and-angular)\n",
+    "$$"
    ]
   },
   {
@@ -220,7 +224,8 @@
     "\\begin{eqnarray}\n",
     "I &=& |A^{12} + A^{23} + A^{31}|^2 \\,.\n",
     "\\end{eqnarray}\n",
-    "$$ (intensity-coherent-sum)"
+    "$$ (intensity-coherent-sum)\n",
+    "$$"
    ]
   },
   {
@@ -244,18 +249,19 @@
     "This assumption enables the intensity $I$ to be written as a coherent sum of the amplitudes of the subsystems without the need for additional Wigner rotations.\n",
     "In addition, the amplitude for each decay chain contains only one spherical harmonic, namely that of the resonance.\n",
     "\n",
-    "The spherical harmonics in Equation&nbsp;{eq}`model-dynamics-and-angular` are therefore relevant only to the resonances. \n",
+    "The spherical harmonics in Equation&nbsp;{eq}`model-dynamics-and-angular` are therefore relevant only to the resonances.\n",
     "Here, $l$ represents the spin of the resonances and $m$ represents its spin projection in the decay chain.\n",
     "The total angular momentum and coupled spin (for the two-body state of the two decay products of the resonance) are not considered.\n",
     "According to {cite}`Richman:1984gh` and other classical references on helicity, this is known as the **helicity basis**.\n",
-    "In contrast, the **canonical basis** does not sum over $L$ and $S$, resulting in a more complex coherent sum of amplitudes. \n",
+    "In contrast, the **canonical basis** does not sum over $L$ and $S$, resulting in a more complex coherent sum of amplitudes.\n",
     "The transformation between these bases is also discussed [here](https://ampform.rtfd.io/0.15.x/usage/helicity/formalism.html) on the AmpForm website.\n",
     "\n",
-    "In our case: \n",
+    "In our case:\n",
+    "\n",
     "- $A^{12}$ represents a **d-wave** interaction, because we assume there is a $a_2$ resonance (spin&nbsp;2) in this subsystem. The possible $m$&nbsp;values are $−2,−1,0,1,2$. Each of these values corresponds to different orientations of the d-wave.\n",
     "- $A^{23}$ represents a **p-wave** interaction, because we assume this subsystem has a (spin-1) $\\Delta^+$ resonance. The possible $m$&nbsp;values are $−1,0,1$.\n",
     "- $A^{31}$ represents an **s-wave** interaction, because we assume there is one spin-0 $N^*$ resonance in this subsystem. The only possible $m$ value is 0 and, since $Y_0^0=0$, the amplitude only consists of a Breit–Wigner.\n",
-    ":::"
+    "  :::"
    ]
   },
   {
@@ -281,6 +287,7 @@
    },
    "source": [
     "(breit-wigner-model)=\n",
+    "\n",
     "#### Breit-Wigner (only) Model"
    ]
   },
@@ -301,7 +308,8 @@
     "\\frac{1}{s-m^2_{\\Delta}+im_{\\Delta} \\Gamma_{\\Delta}} +\n",
     "\\frac{1}{s-m^2_{N^*}+im_{N^*} \\Gamma_{N^*}} \\right\\rvert ^2\n",
     "\\end{array}\n",
-    "$$ (model-dynamics-only)"
+    "$$ (model-dynamics-only)\n",
+    "$$"
    ]
   },
   {
@@ -328,6 +336,7 @@
    },
    "source": [
     "(spherical-harmonics-model)=\n",
+    "\n",
     "#### Spherical Harmonics (only) Model"
    ]
   },
@@ -336,6 +345,7 @@
    "metadata": {},
    "source": [
     "The calculation of $Y_l^m(\\phi, \\theta)$ is done via [`scipy.special.sph_harm()`](https://docs.scipy.org/doc/scipy/reference/generated/scipy.special.sph_harm.html). However, we use a different definition of $\\phi$ and $\\theta$, following a notation that is more common in hadron physics.\n",
+    "\n",
     "- $\\phi$ is the **azimuthal angle** and ranges from -$\\pi$ to $\\pi$. SciPy represents this as $\\theta$, ranging from $0$ to $2\\pi$.\n",
     "- $\\theta$ is the **polar angle** and ranges from $0$ to $\\pi$. SciPy represents this as $\\phi$ with the same range.\n",
     "\n",
@@ -343,7 +353,8 @@
     "\n",
     "$$\n",
     "Y_\\ell^m(\\phi, \\theta) = \\sqrt{\\frac{2n+1}{4\\pi}\\frac{(n-m)!}{(n+m)!}}e^{im\\phi}P_\\ell^m\\left(\\cos\\theta\\right) \\,.\n",
-    "$$ (spherical-harmonics-definition)"
+    "$$ (spherical-harmonics-definition)\n",
+    "$$"
    ]
   },
   {
@@ -358,7 +369,8 @@
     "Y_\\ell^m(\\theta,\\phi) = \\sqrt{\\frac{2\\ell+1}{4\\pi}}D^\\ell_{m0}(-\\phi, \\theta, 0) = \\sqrt{\\frac{2\\ell+1}{4\\pi}}e^{im\\phi} d^\\ell_{m0}(\\theta) \\,.\n",
     "\\end{eqnarray}\n",
     "$$ (spherical-harmonics-wigner-d)\n",
-    ":::"
+    ":::\n",
+    "$$"
    ]
   },
   {
@@ -437,7 +449,8 @@
     "\\sum b_m Y_1^m (\\Omega_2) +\n",
     "c_0 \\right\\rvert ^2 \\,.\n",
     "\\end{array}\n",
-    "$$ (model-angular-only)"
+    "$$ (model-angular-only)\n",
+    "$$"
    ]
   },
   {
@@ -562,7 +575,8 @@
    "cell_type": "markdown",
    "metadata": {},
    "source": [
-    "$$\\begin{pmatrix}\n",
+    "$$\n",
+    "\\begin{pmatrix}\n",
     " E_0 \\\\\n",
     " 0 \\\\\n",
     " 0 \\\\\n",
@@ -598,7 +612,8 @@
     " p_{p,y} \\\\\n",
     " p_{p,z}\n",
     "\\end{pmatrix}\n",
-    "$$ (four-momentum-conservation)"
+    "$$ (four-momentum-conservation)\n",
+    "$$"
    ]
   },
   {
@@ -642,14 +657,20 @@
     "\n",
     "Since the photon is massless, $m_\\gamma=0$, and\n",
     "\n",
+    "\n",
     "$$\n",
+    "\n",
     "m^2 = E^2 - \\left|\\vec{p}\\right|^2 \\,,\n",
-    "$$ (invariant-mass-definition)\n",
+    "\n",
+    "$$\n",
+    "(invariant-mass-definition)\n",
     "\n",
     "we get\n",
     "\n",
+    "\n",
     "$$\n",
-    "E_{\\gamma} = |\\vec{p_{\\gamma}}| .\n",
+    "\n",
+    "E*{\\gamma} = |\\vec{p*{\\gamma}}| .\n",
     "$$ (gamma-energy)"
    ]
   },
@@ -665,20 +686,30 @@
     "\n",
     "where $m_p$ is the proton mass. We have a total four-momentum in the lab frame of\n",
     "\n",
+    "\n",
+    "$$\n",
+    "\n",
+    "p*{\\text{tot},\\text{lab}} = p*{\\gamma,\\text{lab}} + p\\_{p,\\text{lab}}\n",
+    "\n",
     "$$\n",
-    "p_{\\text{tot},\\text{lab}} = p_{\\gamma,\\text{lab}} + p_{p,\\text{lab}}\n",
-    "$$ (total-four-momentum-lab)\n",
+    "(total-four-momentum-lab)\n",
     "\n",
     "and we know\n",
     "\n",
+    "\n",
     "$$\n",
+    "\n",
     "E_p = \\sqrt{p_p^2+ m_p^2} \\,.\n",
-    "$$ (four-momentum-proton)\n",
+    "\n",
+    "$$\n",
+    "(four-momentum-proton)\n",
     "\n",
     "The CM total energy&nbsp;$E_0$ expressed in terms of quantities from the **lab frame** is thus\n",
     "\n",
+    "\n",
     "$$\n",
-    "m_0 \\equiv E_0 = \\sqrt{2 E_{\\gamma,\\text{lab}} m_p + m_p^2} \\,.\n",
+    "\n",
+    "m*0 \\equiv E_0 = \\sqrt{2 E*{\\gamma,\\text{lab}} m_p + m_p^2} \\,.\n",
     "$$ (total-energy-cm)"
    ]
   },
@@ -690,7 +721,8 @@
     "\n",
     "$$\n",
     "E_0 = m_0 = |p_{z}|+\\sqrt{p_{z}^2 + m_p^2} \\,.\n",
-    "$$ (total_energy_CM_frame_still)"
+    "$$ (total_energy_CM_frame_still)\n",
+    "$$"
    ]
   },
   {
@@ -863,18 +895,19 @@
    "source": [
     ":::{admonition} Hit-and-miss sampling\n",
     ":class: dropdown\n",
+    "\n",
     "- **Step 1**: Generate a small phase space sample bunch with `generate_phsp_bunch()`\n",
-    "    - A NumPy random number generator (`rng`) is initialized with a fixed seed for reproducibility. This ensures that every time the simulation is run, it produces the same random numbers.\n",
-    "    - The `phasespace` package is used to simulate a decay process where a parent particle decays into three daughter particles. This is set up by specifying the masses of the parent particle (`m_0`) and the daughter particles (`m_eta`, `m_pi`, `m_proton`). The function `nbody_decay` followed by generate is used to create the phase space and return both the weights of each decay event and the momenta of the decay products.\n",
-    "    - As mentioned, the `phasespace` package generates four-momenta that are not evenly distributed .The distributions appear even only when multiplied by the generated weights. To get a sample bunch that is uniformly distributed, rejection sampling (\"hit-and-miss\") is applied over the weights. To achieve this, a random set of weights (`random_weights`) is generated, and only those events where the original weight exceeds the random weight are selected.\n",
+    "  - A NumPy random number generator (`rng`) is initialized with a fixed seed for reproducibility. This ensures that every time the simulation is run, it produces the same random numbers.\n",
+    "  - The `phasespace` package is used to simulate a decay process where a parent particle decays into three daughter particles. This is set up by specifying the masses of the parent particle (`m_0`) and the daughter particles (`m_eta`, `m_pi`, `m_proton`). The function `nbody_decay` followed by generate is used to create the phase space and return both the weights of each decay event and the momenta of the decay products.\n",
+    "  - As mentioned, the `phasespace` package generates four-momenta that are not evenly distributed .The distributions appear even only when multiplied by the generated weights. To get a sample bunch that is uniformly distributed, rejection sampling (\"hit-and-miss\") is applied over the weights. To achieve this, a random set of weights (`random_weights`) is generated, and only those events where the original weight exceeds the random weight are selected.\n",
     "\n",
     "- **Step 2**, Ensure sufficient sample size with `generate_phsp_decay()`\n",
-    "    - The function starts by generating an initial phase space sample. If this initial sample does not meet the required size, more samples are generated and concatenated until the requested size is reached.\n",
-    "    - Once the target sample size is reached or exceeded, `remove_overflow()` trims the sample to precisely match the requested size.\n",
+    "  - The function starts by generating an initial phase space sample. If this initial sample does not meet the required size, more samples are generated and concatenated until the requested size is reached.\n",
+    "  - Once the target sample size is reached or exceeded, `remove_overflow()` trims the sample to precisely match the requested size.\n",
     "\n",
     "- **Step 3**, Convert tensors to [four-momentum vectors](https://vector.readthedocs.io/en/stable/src/make_numpy.html#vector.MomentumNumpy4D) objects\n",
     "  The `phasespace` package generates four-momenta in the form of $4\\times N$ TensorFlow tensors, with $N$ the number of events. For each tensor in the phase space tuple (representing the momentum components like $E, p_x, p_y, p_z$), the `to_vector` function converts them into a structured `MomentumNumpy4D` array. This structured array includes keys for each momentum component and possibly the energy component and provides convenient methods for computing boosts etc.\n",
-    ":::"
+    "  :::"
    ]
   },
   {
@@ -943,7 +976,8 @@
     "E_a &=& p_a \\\\\n",
     "E_{b} &=& \\sqrt{m_b^2+p_b^2} \\,.\n",
     "\\end{array}\n",
-    "$$ (pb-pa-relation)"
+    "$$ (pb-pa-relation)\n",
+    "$$"
    ]
   },
   {
@@ -1057,7 +1091,8 @@
     "\\theta &=& \\arccos \\frac{p_z}{|p|} \\nonumber \\\\\n",
     "\\phi &=& \\arctan2(p_y , p_x) \\,.\n",
     "\\end{array}\n",
-    "$$ (polar-azimuthal-angle)"
+    "$$ (polar-azimuthal-angle)\n",
+    "$$"
    ]
   },
   {
@@ -1160,9 +1195,9 @@
     ":::{tip}\n",
     "There are different ways to represent the Dalitz plot, each with its advantages.\n",
     "\n",
-    "- *Scatter Plot*: This method plots individual events as points, offering a clear view of the density and distribution of events within the phase space. It is particularly useful for visualizing smaller datasets or when high resolution is needed to identify specific features or clusters.\n",
+    "- _Scatter Plot_: This method plots individual events as points, offering a clear view of the density and distribution of events within the phase space. It is particularly useful for visualizing smaller datasets or when high resolution is needed to identify specific features or clusters.\n",
     "\n",
-    "- *2D Histogram*: This approach divides the phase space into bins and counts the number of events within each bin, representing the density of events using a color scale. It is effective for large datasets, providing a smooth and continuous representation of the phase space that highlights overall trends and structures.\n",
+    "- _2D Histogram_: This approach divides the phase space into bins and counts the number of events within each bin, representing the density of events using a color scale. It is effective for large datasets, providing a smooth and continuous representation of the phase space that highlights overall trends and structures.\n",
     "\n",
     "In conclusion, to check if the phase space sample is evenly distributed, a scatter plot is typically more straightforward and visually clear.\n",
     ":::"
@@ -1174,7 +1209,7 @@
     "jp-MarkdownHeadingCollapsed": true
    },
    "source": [
-    "#### CM Angles "
+    "#### CM Angles"
    ]
   },
   {
@@ -1224,9 +1259,10 @@
    "metadata": {},
    "source": [
     ":::{seealso}\n",
+    "\n",
     "- [Section of helicity formalism in **TR-015** (Spin alignment implementation)](../015/index.ipynb#helicity-formalism)\n",
     "- [Helicity versus canonical in Ampform](https://ampform.readthedocs.io/stable/usage/helicity/formalism.html)\n",
-    ":::"
+    "  :::"
    ]
   },
   {
@@ -1244,21 +1280,29 @@
    "source": [
     ":::{admonition} Helicity states and Wigner matrices\n",
     ":class: dropdown\n",
+    "\n",
     "##### Helicity\n",
+    "\n",
     "Helicity&nbsp;$\\lambda$ is the projection of a particle's spin&nbsp;$S$ onto its direction of motion&nbsp;$\\vec{p}$. Mathematically, it's given by\n",
+    "\n",
     "```{math}\n",
     "\\lambda = \\frac{S \\cdot \\vec{p}}{|\\vec{p}|} \\,.\n",
     "```\n",
+    "\n",
     "For massless particles (photons in particular), helicity is a Lorentz-invariant quantity, meaning it remains unchanged under boosts along the direction of motion.\n",
     "\n",
     "##### Helicity state\n",
+    "\n",
     "Helicity states are eigenstates of the helicity operator. For a particle moving in the $z$&nbsp;direction, the helicity operator is $S \\cdot \\hat{p}$.\n",
     "\n",
     "##### Wigner-$D$&nbsp;matrix\n",
-    "Wigner-$D$&nbsp;matrices are used in the helicity formalism to describe the rotation of spin states. These matrices depend on the Euler angles of the rotation and are denoted by \n",
+    "\n",
+    "Wigner-$D$&nbsp;matrices are used in the helicity formalism to describe the rotation of spin states. These matrices depend on the Euler angles of the rotation and are denoted by\n",
+    "\n",
     "```{math}\n",
     "D^j_{m'm} (\\alpha,\\beta,\\gamma) = e^{-im'\\alpha} d^j_{m'm}(\\beta) e^{-im\\gamma} \\,,\n",
     "```\n",
+    "\n",
     "where $j$ is the spin, $m'$ and $m$ are the magnetic quantum numbers, $\\alpha, \\beta, \\gamma$ are the Euler angles of the rotation, and $d^j_{m'm}(\\beta)$ is an element of the orthogonal Wigner's (small) $d$-matrix.\n",
     ":::"
    ]
@@ -1281,9 +1325,9 @@
     ":::{admonition} Reference frames after boost\n",
     ":class: full-width\n",
     "\n",
-    "| CM frame | Helicity frame |\n",
-    "|---|---|\n",
-    "| Before boosting | After boosting into the $p_1+p_2$ subsystem |\n",
+    "| CM frame                                                                                                                                                                 | Helicity frame                                                                                                                                                           |\n",
+    "| ------------------------------------------------------------------------------------------------------------------------------------------------------------------------ | ------------------------------------------------------------------------------------------------------------------------------------------------------------------------ |\n",
+    "| Before boosting                                                                                                                                                          | After boosting into the $p_1+p_2$ subsystem                                                                                                                              |\n",
     "| <iframe src=\"https://www.geogebra.org/material/iframe/id/dgjn83pb/stb/false/sdz/true/sri/true\" width=\"100%\" height=\"100%\" style=\"aspect-ratio:1.6;border:0px;\"></iframe> | <iframe src=\"https://www.geogebra.org/material/iframe/id/tv5kr8pp/stb/false/sdz/true/sri/true\" width=\"100%\" height=\"100%\" style=\"aspect-ratio:1.6;border:0px;\"></iframe> |\n",
     "\n",
     "The **production plane** (<font color=\"cyan\">cyan</font>) is defined by the momenta of the incoming particles that participate in the production of a particular state or particle. In the figure, we have $a+b \\to (R\\to 1+2)+3$ (subsystem $p_1+p_2$), meaning that the production plane is spanned by the momenta of $a$ (or $b$) and $1$.\n",
@@ -1357,6 +1401,7 @@
    },
    "source": [
     "(parameter-values)=\n",
+    "\n",
     "### Toy model parameter values"
    ]
   },
@@ -1407,7 +1452,8 @@
     "\\Gamma_{23} &=& \\Gamma_{\\pi^0p} = \\Gamma_{\\Delta^+} \\\\\n",
     "\\Gamma_{31} &=& \\Gamma_{\\eta p} = \\Gamma_{N^*} \\\\\n",
     "\\end{array}\n",
-    "$$ (mass-and-width-parameters)"
+    "$$ (mass-and-width-parameters)\n",
+    "$$"
    ]
   },
   {
@@ -1417,6 +1463,7 @@
    },
    "source": [
     "(spherical-harmonics-visualization)=\n",
+    "\n",
     "### Spherical harmonics"
    ]
   },
@@ -1673,6 +1720,7 @@
    "metadata": {},
    "source": [
     "(generate-data)=\n",
+    "\n",
     "## Data Generation"
    ]
   },
@@ -1715,7 +1763,7 @@
    "outputs": [],
    "source": [
     "def generate_data(\n",
-    "    model: callable, size: int, bunch_size: int = 500_000, seed: int | None = None\n",
+    "    model: Callable, size: int, bunch_size: int = 500_000, seed: int | None = None\n",
     ") -> tuple[MomentumNumpy4D, ...]:\n",
     "    rng = np.random.default_rng(seed=seed)\n",
     "    generated_seed = rng.integers(low=0, high=1_000_000)\n",
@@ -1735,7 +1783,7 @@
     "\n",
     "\n",
     "def _hit_and_miss_filter(\n",
-    "    model: callable, phase_space: tuple[MomentumNumpy4D, ...], seed: int | None = None\n",
+    "    model: Callable, phase_space: tuple[MomentumNumpy4D, ...], seed: int | None = None\n",
     ") -> tuple[MomentumNumpy4D, ...]:\n",
     "    p1, p2, p3, pa, pb = phase_space\n",
     "    p12 = p1 + p2\n",
@@ -1810,44 +1858,39 @@
     "A few functions are defined above for generating data sample from filtering phase space samples of particle decays and converting them into four-momentum vectors. The main ideas of them are:\n",
     "\n",
     "- `generate_data()`: The main function used to generate the data\n",
-    "    - It simulates events until it gathers a specified number of valid data points that meet the model’s conditions.\n",
-    "    - Parameters:\n",
-    "        - model: A callable that computes the intensity of events based on given kinematic variables.\n",
-    "        - size: The desired number of valid events to generate.\n",
-    "        - bunch_size: The number of events to generate per iteration if the initial batch doesn't meet the required size. Defaults to size if not provided.\n",
-    "        - seed: Seed for random number generation to ensure reproducibility.\n",
-    "    - Process:\n",
-    "        - Initialize a random number generator.\n",
-    "        - Generate an initial set of phase space data (phase_space) and filter it using the model to obtain valid events (data_sample).\n",
-    "        - If the filtered data (data_sample) is less than the desired size, additional data is generated in batches (bunch_size) and filtered until the size requirement is met.\n",
-    "        - The function ensures the returned dataset size matches exactly the requested size.\n",
-    "     \n",
+    "  - It simulates events until it gathers a specified number of valid data points that meet the model’s conditions.\n",
+    "  - Parameters:\n",
+    "    - model: A callable that computes the intensity of events based on given kinematic variables.\n",
+    "    - size: The desired number of valid events to generate.\n",
+    "    - bunch_size: The number of events to generate per iteration if the initial batch doesn't meet the required size. Defaults to size if not provided.\n",
+    "    - seed: Seed for random number generation to ensure reproducibility.\n",
+    "  - Process:\n",
+    "    - Initialize a random number generator.\n",
+    "    - Generate an initial set of phase space data (phase_space) and filter it using the model to obtain valid events (data_sample).\n",
+    "    - If the filtered data (data_sample) is less than the desired size, additional data is generated in batches (bunch_size) and filtered until the size requirement is met.\n",
+    "    - The function ensures the returned dataset size matches exactly the requested size.\n",
     "\n",
     "- `_hit_and_miss_filter`: The other important function that filters the generated phase space data\n",
-    "    - using the hit-and-miss Monte Carlo method based on the model intensities.\n",
-    "    - Parameters:\n",
-    "        - model: The model function to calculate intensities.\n",
-    "        - phase_space: Tuple containing momentum vectors of particles involved in the event.\n",
-    "        - seed: Seed for random number generation.\n",
-    "    - Process:\n",
-    "        - Calculate invariant masses and other kinematic variables required by the model.\n",
-    "        - Call the model with these variables to compute intensities for each event.\n",
-    "        - Generate random numbers and select events where the model intensity is greater than a random threshold, simulating a probability proportional to the intensity.\n",
-    "     \n",
+    "  - using the hit-and-miss Monte Carlo method based on the model intensities.\n",
+    "  - Parameters:\n",
+    "    - model: The model function to calculate intensities.\n",
+    "    - phase_space: Tuple containing momentum vectors of particles involved in the event.\n",
+    "    - seed: Seed for random number generation.\n",
+    "  - Process:\n",
+    "    - Calculate invariant masses and other kinematic variables required by the model.\n",
+    "    - Call the model with these variables to compute intensities for each event.\n",
+    "    - Generate random numbers and select events where the model intensity is greater than a random threshold, simulating a probability proportional to the intensity.\n",
+    "\n",
     "There are other assisted functions that are used in the functions above:\n",
     "\n",
     "- `get_size_data`:\n",
-    "\n",
     "  - Simply returns the number of events in the data, used to check if more data needs to be generated.\n",
     "\n",
-    "- `concatenate_data`:\n",
-    "        - Merges two datasets into one, maintaining the structure of tuples of momentum vectors.\n",
+    "- `concatenate_data`: - Merges two datasets into one, maintaining the structure of tuples of momentum vectors.\n",
     "\n",
-    "- `concatenate_vectors`:\n",
-    "        - Helper function to concatenate individual momentum vectors within the data tuples.\n",
+    "- `concatenate_vectors`: - Helper function to concatenate individual momentum vectors within the data tuples.\n",
     "\n",
-    "- `remove_overflow_data`:\n",
-    "        - Trims the dataset to the desired size if it exceeds the specified number due to batch generation.\n",
+    "- `remove_overflow_data`: - Trims the dataset to the desired size if it exceeds the specified number due to batch generation.\n",
     "\n",
     ":::"
    ]
@@ -1966,6 +2009,7 @@
    },
    "source": [
     "(my_section)=\n",
+    "\n",
     "### 1D projections"
    ]
   },
@@ -2715,7 +2759,8 @@
    "metadata": {},
    "source": [
     "(fit-model)=\n",
-    "## Fitting "
+    "\n",
+    "## Fitting"
    ]
   },
   {
@@ -3286,14 +3331,14 @@
     "To conclude our analysis in this document, we examine the Dalitz plots for the following cases: phase space, generated data, default parameters of the model, and fitted parameters of the model.\n",
     "\n",
     "- Phase Space Dalitz Plot:\n",
-    "    - The plot displays a flat distribution, representing the kinematically allowed region for the reaction. This flat distribution serves as a baseline, showing no dynamical effects or resonant structures.\n",
+    "  - The plot displays a flat distribution, representing the kinematically allowed region for the reaction. This flat distribution serves as a baseline, showing no dynamical effects or resonant structures.\n",
     "- Generated Data Dalitz Plot:\n",
-    "    - This plot is derived from synthetic data that simulates the actual experimental conditions. It includes potential resonances (and background processes). The generated data reflects the physical phenomena expected in the real experimental scenario.\n",
+    "  - This plot is derived from synthetic data that simulates the actual experimental conditions. It includes potential resonances (and background processes). The generated data reflects the physical phenomena expected in the real experimental scenario.\n",
     "- Model with Default Parameters Dalitz Plot:\n",
-    "    - Here, the Dalitz plot illustrates the model's predictions using the initial set of parameters. This provides a theoretical reference for comparison with actual data and the fitted model.\n",
+    "  - Here, the Dalitz plot illustrates the model's predictions using the initial set of parameters. This provides a theoretical reference for comparison with actual data and the fitted model.\n",
     "- Fitted Parameters Dalitz Plot:\n",
-    "    - After performing the fitting procedure, this plot shows the model's predictions with optimized parameters. The resonances and their characteristics are clearly visible, indicating the physical information extracted from the data.\n",
-    " \n",
+    "  - After performing the fitting procedure, this plot shows the model's predictions with optimized parameters. The resonances and their characteristics are clearly visible, indicating the physical information extracted from the data.\n",
+    "\n",
     "By comparing these Dalitz plots, we can observe how the model evolves from theoretical predictions to a fitted solution that aligns with the experimental or generated data. The physical information about possible resonances becomes more apparent, allowing us to extract meaningful insights into the underlying processes of the reaction.\n",
     "\n",
     "This comprehensive analysis showcases the interplay between kinematics and dynamics in understanding particle interactions, highlighting the power of Partial Wave Analysis in uncovering the nuances of hadronic reactions."
@@ -3387,20 +3432,21 @@
     "In this document, we have covered the general workflow of PWA, which consists of three major parts:\n",
     "\n",
     "As a summary, what have we done in this document consists of three major parts:\n",
+    "\n",
     "- Amplitude Model formulation\n",
-    "    - Introduced the theoretical model for the amplitude of the reaction.\n",
-    "    - Defined the mathematical expressions representing the partial waves and their respective contributions.\n",
-    "    - Incorporated the relevant physical parameters, such as resonance properties. \n",
+    "  - Introduced the theoretical model for the amplitude of the reaction.\n",
+    "  - Defined the mathematical expressions representing the partial waves and their respective contributions.\n",
+    "  - Incorporated the relevant physical parameters, such as resonance properties.\n",
     "- Phase space and data sample generation (or data analysis)\n",
-    "    - Generated phase space distributions for the three-body decay processes.\n",
-    "    - Created synthetic data samples or analyzed experimental data.\n",
-    "    - Ensured that the data accurately reflects the kinematic constraints and dynamics of the reaction. \n",
+    "  - Generated phase space distributions for the three-body decay processes.\n",
+    "  - Created synthetic data samples or analyzed experimental data.\n",
+    "  - Ensured that the data accurately reflects the kinematic constraints and dynamics of the reaction.\n",
     "- Perform fitting, analyze and evaluate the results\n",
-    "    - Performed a fit of the amplitude model to the generated or experimental data.\n",
-    "    - Used statistical techniques to optimize the model parameters.\n",
-    "    - Analyzed the fit results to extract physical parameters.\n",
-    "    - Evaluated the quality of the fit and the consistency of the model with the data.\n",
-    "    - Interpreted the physical significance of the extracted parameters and identified potential resonances and their properties."
+    "  - Performed a fit of the amplitude model to the generated or experimental data.\n",
+    "  - Used statistical techniques to optimize the model parameters.\n",
+    "  - Analyzed the fit results to extract physical parameters.\n",
+    "  - Evaluated the quality of the fit and the consistency of the model with the data.\n",
+    "  - Interpreted the physical significance of the extracted parameters and identified potential resonances and their properties."
    ]
   },
   {
diff --git a/docs/033/uv.lock b/docs/033/uv.lock
index 7ed7b7c..6e2eaf4 100644
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diff --git a/docs/034/uv.lock b/docs/034/uv.lock
index 3bdd313..966cc1e 100644
--- a/docs/034/uv.lock
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diff --git a/docs/035/index.ipynb b/docs/035/index.ipynb
index a11d4fa..cd9eb32 100644
--- a/docs/035/index.ipynb
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diff --git a/pixi.lock b/pixi.lock
index c1732d3..2c0cc92 100644
--- a/pixi.lock
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diff --git a/pyproject.toml b/pyproject.toml
index 8753451..ded6e5d 100644
--- a/pyproject.toml
+++ b/pyproject.toml
@@ -51,20 +51,21 @@ doc = [
     {include-group = "notebooks"},
 ]
 jupyter = [
+    "jupyter-ruff",
     "jupyterlab",
-    "jupyterlab-code-formatter",
     "jupyterlab-git",
     "jupyterlab-lsp",
     "jupyterlab-myst",
     "jupyterlab-quickopen",
     "python-lsp-ruff",
-    "python-lsp-server[rope]",
+    "python-lsp-server",
     {include-group = "notebooks"},
 ]
 notebooks = ["pyproject-local-kernel"]
 style = [
     "nbformat",
     "sphinx-api-relink",
+    "ty",
 ]
 test = [
     "nbmake",
@@ -81,35 +82,6 @@ write_to = "version.py"
 [tool.isort]
 profile = "black"
 
-[tool.pyright]
-reportGeneralTypeIssues = false
-reportIncompatibleMethodOverride = false
-reportMissingParameterType = false
-reportMissingTypeArgument = false
-reportMissingTypeStubs = false
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-reportUnusedFunction = true
-reportUnusedImport = true
-reportUnusedVariable = true
-typeCheckingMode = "strict"
-venv = ".venv"
-venvPath = "."
-
 [tool.pytest.ini_options]
 addopts = [
     "--color=yes",
@@ -182,6 +154,7 @@ ignore = [
     "PLW1514",
     "PT001",
     "PTH",
+    "RUF067",
     "SIM108",
     "SLF001",
 ]
@@ -241,3 +214,28 @@ sort_first = [
 ]
 spaces_indent_inline_array = 4
 trailing_comma_inline_array = true
+
+[[tool.ty.overrides]]
+include = ["**/*.ipynb"]
+rules.invalid-argument-type = "ignore"
+rules.invalid-assignment = "ignore"
+rules.not-iterable = "ignore"
+rules.not-subscriptable = "ignore"
+rules.possibly-missing-attribute = "ignore"
+rules.possibly-unresolved-reference = "ignore"
+rules.unresolved-attribute = "ignore"
+rules.unresolved-import = "ignore"
+rules.unresolved-reference = "ignore"
+
+[[tool.ty.overrides]]
+include = ["docs/_static/exported_intensity_model.py"]
+rules.unresolved-import = "ignore"
+rules.unresolved-reference = "ignore"
+
+[tool.ty.rules]
+division-by-zero = "warn"
+possibly-missing-import = "warn"
+possibly-unresolved-reference = "warn"
+
+[tool.ty.src]
+exclude = ["docs/019/index.ipynb"]
diff --git a/uv.lock b/uv.lock
index 58c2ab2..91b4bc7 100644
--- a/uv.lock
+++ b/uv.lock
@@ -3,7 +3,8 @@ revision = 3
 requires-python = ">=3.10"
 resolution-markers = [
     "python_full_version >= '3.14'",
-    "python_full_version >= '3.11' and python_full_version < '3.14'",
+    "python_full_version >= '3.12' and python_full_version < '3.14'",
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 ]
 
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 [[package]]
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+version = "1.4.0"
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+    { url = "https://files.pythonhosted.org/packages/2e/e9/eb6a5db5ac505d5d45715388e92bced7a5bb556facc4d0865d192823f2d2/async_lru-2.1.0-py3-none-any.whl", hash = "sha256:fa12dcf99a42ac1280bc16c634bbaf06883809790f6304d85cdab3f666f33a7e", size = 6933, upload-time = "2026-01-17T22:52:17.389Z" },
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     { name = "sphinx-comments" },
     { name = "sphinx-copybutton" },
-    { name = "sphinx-design" },
+    { name = "sphinx-design", version = "0.6.1", source = { registry = "https://pypi.org/simple" }, marker = "python_full_version < '3.11'" },
+    { name = "sphinx-design", version = "0.7.0", source = { registry = "https://pypi.org/simple" }, marker = "python_full_version >= '3.11'" },
     { name = "sphinx-hep-pdgref" },
     { name = "sphinx-pybtex-etal-style" },
     { name = "sphinx-remove-toctrees" },
     { name = "sphinx-thebe" },
     { name = "sphinx-togglebutton" },
     { name = "sphinxcontrib-bibtex" },
+    { name = "ty" },
 ]
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     { name = "nbformat" },
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-    { name = "sphinx", version = "8.2.3", source = { registry = "https://pypi.org/simple" }, marker = "python_full_version >= '3.11'" },
+    { name = "sphinx", version = "9.0.4", source = { registry = "https://pypi.org/simple" }, marker = "python_full_version == '3.11.*'" },
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     { name = "sphinx-comments" },
     { name = "sphinx-copybutton" },
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@@ -498,15 +512,15 @@ doc = [
     { name = "sphinxcontrib-bibtex" },
 ]
 jupyter = [
+    { name = "jupyter-ruff" },
     { name = "jupyterlab" },
-    { name = "jupyterlab-code-formatter" },
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     { name = "pyproject-local-kernel" },
     { name = "python-lsp-ruff" },
-    { name = "python-lsp-server", extra = ["rope"] },
+    { name = "python-lsp-server" },
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@@ -514,6 +528,7 @@ notebooks = [
 style = [
     { name = "nbformat" },
     { name = "sphinx-api-relink" },
+    { name = "ty" },
 ]
 test = [
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@@ -525,8 +540,8 @@ test = [
 
 [package.metadata.requires-dev]
 dev = [
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     { name = "jupyterlab" },
-    { name = "jupyterlab-code-formatter" },
     { name = "jupyterlab-git" },
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     { name = "pytest-env" },
     { name = "python-lsp-ruff" },
-    { name = "python-lsp-server", extras = ["rope"] },
+    { name = "python-lsp-server" },
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     { name = "sphinx-togglebutton" },
     { name = "sphinxcontrib-bibtex", specifier = ">=2" },
+    { name = "ty" },
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@@ -573,20 +589,21 @@ doc = [
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 ]
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     { name = "python-lsp-ruff" },
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 ]
 notebooks = [{ name = "pyproject-local-kernel" }]
 style = [
     { name = "nbformat" },
     { name = "sphinx-api-relink" },
+    { name = "ty" },
 ]
 test = [
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 [[package]]

From f1919440d6dc9363ab1f2e6194d20d2c124dfa2d Mon Sep 17 00:00:00 2001
From: GitHub <noreply@github.com>
Date: Sun, 1 Feb 2026 11:18:35 +0000
Subject: [PATCH 04/18] MAINT: update lock files

---
 pixi.lock | 4660 +++++++++++++++++++++++++++--------------------------
 1 file changed, 2331 insertions(+), 2329 deletions(-)

diff --git a/pixi.lock b/pixi.lock
index 2c0cc92..9be5553 100644
--- a/pixi.lock
+++ b/pixi.lock
@@ -2,2339 +2,2341 @@ version: 6
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+    - url: https://repo.prefix.dev/julia-forge/
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From fff11cad3e94db2786d68686c11ee43df1725b3f Mon Sep 17 00:00:00 2001
From: Remco de Boer <29308176+redeboer@users.noreply.github.com>
Date: Sun, 1 Feb 2026 12:25:52 +0100
Subject: [PATCH 05/18] DX: suppress `myst.directive_unknown`

---
 docs/conf.py | 1 +
 1 file changed, 1 insertion(+)

diff --git a/docs/conf.py b/docs/conf.py
index a8d5078..ac78e15 100644
--- a/docs/conf.py
+++ b/docs/conf.py
@@ -274,6 +274,7 @@ def install_ijulia() -> None:
     ".md": "myst-nb",
 }
 suppress_warnings = [
+    "myst.directive_unknown",
     "myst.domains",
     "mystnb.unknown_mime_type",
 ]

From 6a4bd09c6aead79bf4c67a18fdf105b076bff48f Mon Sep 17 00:00:00 2001
From: Remco de Boer <29308176+redeboer@users.noreply.github.com>
Date: Sun, 1 Feb 2026 12:26:03 +0100
Subject: [PATCH 06/18] FIX: remove PWA pages intersphinx

---
 docs/005/index.ipynb | 2 +-
 docs/conf.py         | 1 -
 2 files changed, 1 insertion(+), 2 deletions(-)

diff --git a/docs/005/index.ipynb b/docs/005/index.ipynb
index dd8169b..ee1d881 100644
--- a/docs/005/index.ipynb
+++ b/docs/005/index.ipynb
@@ -194,7 +194,7 @@
     "\n",
     "### Transition operator\n",
     "\n",
-    "The important point is that we have now expressed $A$ in terms of an angular part (depending on $\\Omega$) and a dynamical part $\\boldsymbol{T}$ that depends on the {ref}`Mandelstam variable <pwa:introduction:Mandelstam variables>` $s$.\n",
+    "The important point is that we have now expressed $A$ in terms of an angular part (depending on $\\Omega$) and a dynamical part $\\boldsymbol{T}$ that depends on the [Mandelstam variable](https://pwa.readthedocs.io/physics/#mandelstam-variables) $s$.\n",
     "\n",
     "\n",
     "The dynamical part $\\boldsymbol{T}$ is usually called the **transition operator**. The reason is that it describes the interacting part of the **scattering operator** $\\boldsymbol{S}$, which describes the (complex) amplitude $\\langle f|\\boldsymbol{S}|i\\rangle$  of an initial state $|i\\rangle$ transitioning to a final state $|f\\rangle$. The scattering operator describes both the non-interacting amplitude and the transition amplitude, so it relates to the transition operator as:[^1]\n",
diff --git a/docs/conf.py b/docs/conf.py
index ac78e15..b717b62 100644
--- a/docs/conf.py
+++ b/docs/conf.py
@@ -201,7 +201,6 @@ def install_ijulia() -> None:
     "numpy": ("https://numpy.org/doc/stable", None),
     "pdg": ("https://pdgapi.lbl.gov/doc", None),
     "plotly": ("https://plotly.com/python-api-reference", None),
-    "pwa": ("https://pwa.readthedocs.io", None),
     "python": ("https://docs.python.org/3", None),
     "qrules-0.9.x": ("https://qrules.readthedocs.io/0.9.x", None),
     "qrules": ("https://qrules.readthedocs.io/stable", None),

From 0ef1cbe3facfc3beb8dc1bed59c28d20b1417f37 Mon Sep 17 00:00:00 2001
From: Remco de Boer <29308176+redeboer@users.noreply.github.com>
Date: Sun, 1 Feb 2026 12:27:49 +0100
Subject: [PATCH 07/18] MAINT: upgrade lock files

---
 docs/001/uv.lock        |  62 +++++++++---------
 docs/003/uv.lock        |  78 +++++++++++------------
 docs/004/uv.lock        |  62 +++++++++---------
 docs/005/uv.lock        |  62 +++++++++---------
 docs/006/uv.lock        |  56 ++++++++--------
 docs/009/uv.lock        |  12 ++--
 docs/010/uv.lock        |  12 ++--
 docs/012/uv.lock        | 124 +++++++++++++++++-------------------
 docs/013/uv.lock        | 132 ++++++++++++++++++--------------------
 docs/014/uv.lock        |  12 ++--
 docs/015/uv.lock        |   6 +-
 docs/016/uv.lock        |  72 ++++++++++-----------
 docs/017/uv.lock        |  62 +++++++++---------
 docs/018/uv.lock        | 132 ++++++++++++++++++--------------------
 docs/020/uv.lock        |  37 +++++------
 docs/021/uv.lock        |  62 +++++++++---------
 docs/022/uv.lock        |  62 +++++++++---------
 docs/023/uv.lock        |  46 +++++++-------
 docs/024/pyproject.toml |   2 +-
 docs/024/uv.lock        |  76 +++++++++++-----------
 docs/025/uv.lock        |  62 +++++++++---------
 docs/026/uv.lock        |  56 ++++++++--------
 docs/027/uv.lock        |  62 +++++++++---------
 docs/029/uv.lock        |   6 +-
 docs/030/uv.lock        | 132 ++++++++++++++++++--------------------
 docs/031/uv.lock        | 132 ++++++++++++++++++--------------------
 docs/032/uv.lock        | 132 ++++++++++++++++++--------------------
 docs/033/uv.lock        | 138 +++++++++++++++++++---------------------
 docs/034/uv.lock        |   6 +-
 docs/035/uv.lock        | 132 ++++++++++++++++++--------------------
 30 files changed, 988 insertions(+), 1039 deletions(-)

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index 19d2ac4..c143b58 100644
--- a/docs/001/uv.lock
+++ b/docs/001/uv.lock
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diff --git a/docs/013/uv.lock b/docs/013/uv.lock
index db0f00c..ed16173 100644
--- a/docs/013/uv.lock
+++ b/docs/013/uv.lock
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index 81ff1cb..899a3ae 100644
--- a/docs/024/pyproject.toml
+++ b/docs/024/pyproject.toml
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index 3d24fe4..7f59867 100644
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index 6e2eaf4..1eb0d49 100644
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From 71a6f37ba4633540eee7ab21ed95d144dd0f4bf1 Mon Sep 17 00:00:00 2001
From: Remco de Boer <29308176+redeboer@users.noreply.github.com>
Date: Sun, 1 Feb 2026 12:39:35 +0100
Subject: [PATCH 08/18] MAINT: update link to Chung spin formalisms

---
 docs/bibliography.bib | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/docs/bibliography.bib b/docs/bibliography.bib
index 4779be6..a191a42 100644
--- a/docs/bibliography.bib
+++ b/docs/bibliography.bib
@@ -64,7 +64,7 @@ @techreport{chungSpinFormalismsUpdated2014
   month = jul,
   pages = {BNL--76975-2006-IR, 890945},
   institution = {Brookhaven National Laboratory},
-  url = {https://suchung.web.cern.ch/spinfm1.pdf}
+  url = {https://cds.cern.ch/record/186421/files/BNL-76975-2006-IR.pdf}
 }
 
 @article{Jacob:1959at,

From dc5628f6ab44cf4c49b989ec72d32b46d86a2b61 Mon Sep 17 00:00:00 2001
From: Remco de Boer <29308176+redeboer@users.noreply.github.com>
Date: Sun, 1 Feb 2026 12:40:26 +0100
Subject: [PATCH 09/18] FIX: downgrade polarimetry

---
 docs/024/pyproject.toml |   2 +-
 docs/024/uv.lock        | 143 ++--------------------------------------
 2 files changed, 6 insertions(+), 139 deletions(-)

diff --git a/docs/024/pyproject.toml b/docs/024/pyproject.toml
index 899a3ae..0ce30e3 100644
--- a/docs/024/pyproject.toml
+++ b/docs/024/pyproject.toml
@@ -2,7 +2,7 @@
 dependencies = [
     "ampform",
     "graphviz",
-    "polarimetry-lc2pkpi~=0.0.11",
+    "polarimetry-lc2pkpi==0.0.11",
     "sympy",
 ]
 name = "technical-report"
diff --git a/docs/024/uv.lock b/docs/024/uv.lock
index 86107c3..93f4b46 100644
--- a/docs/024/uv.lock
+++ b/docs/024/uv.lock
@@ -17,25 +17,6 @@ wheels = [
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From 3655a6cfcae1d8756060bce2801f213a1994c3ee Mon Sep 17 00:00:00 2001
From: Remco de Boer <29308176+redeboer@users.noreply.github.com>
Date: Sun, 1 Feb 2026 18:36:23 +0100
Subject: [PATCH 10/18] MAINT: upgrade lock files

---
 docs/012/uv.lock | 6 +++---
 docs/013/uv.lock | 6 +++---
 docs/018/uv.lock | 6 +++---
 docs/030/uv.lock | 6 +++---
 docs/031/uv.lock | 6 +++---
 docs/032/uv.lock | 6 +++---
 docs/033/uv.lock | 6 +++---
 docs/035/uv.lock | 6 +++---
 uv.lock          | 6 +++---
 9 files changed, 27 insertions(+), 27 deletions(-)

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+++ b/docs/012/uv.lock
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From 40f51da98ff071f1d0ebe9133928b09e3a078f44 Mon Sep 17 00:00:00 2001
From: Remco de Boer <29308176+redeboer@users.noreply.github.com>
Date: Sun, 1 Feb 2026 18:38:48 +0100
Subject: [PATCH 11/18] FIX: update link to Kutschke

---
 docs/bibliography.bib | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/docs/bibliography.bib b/docs/bibliography.bib
index a191a42..0fd6d47 100644
--- a/docs/bibliography.bib
+++ b/docs/bibliography.bib
@@ -117,7 +117,7 @@ @misc{kutschkeAngularDistributionCookbook1996
   author = {Kutschke, Rob},
   year = {1996},
   month = jan,
-  url = {https://home.fnal.gov/~kutschke/Angdist/angdist.ps}
+  url = {https://www.slideshare.net/slideshow/angdist/90661337}
 }
 
 @article{Marangotto:2019ucc,

From 2c1dd180ac9705b744cde22e15319fa01dab8a76 Mon Sep 17 00:00:00 2001
From: Remco de Boer <29308176+redeboer@users.noreply.github.com>
Date: Sun, 1 Feb 2026 18:59:45 +0100
Subject: [PATCH 12/18] FIX: update link to `sph_harm`

---
 docs/033/index.ipynb | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/docs/033/index.ipynb b/docs/033/index.ipynb
index 3cb6531..9b63c3d 100644
--- a/docs/033/index.ipynb
+++ b/docs/033/index.ipynb
@@ -344,7 +344,7 @@
    "cell_type": "markdown",
    "metadata": {},
    "source": [
-    "The calculation of $Y_l^m(\\phi, \\theta)$ is done via [`scipy.special.sph_harm()`](https://docs.scipy.org/doc/scipy/reference/generated/scipy.special.sph_harm.html). However, we use a different definition of $\\phi$ and $\\theta$, following a notation that is more common in hadron physics.\n",
+    "The calculation of $Y_l^m(\\phi, \\theta)$ is done via [`scipy.special.sph_harm()`](https://docs.scipy.org/doc/scipy-1.15.0/reference/generated/scipy.special.sph_harm.html). However, we use a different definition of $\\phi$ and $\\theta$, following a notation that is more common in hadron physics.\n",
     "\n",
     "- $\\phi$ is the **azimuthal angle** and ranges from -$\\pi$ to $\\pi$. SciPy represents this as $\\theta$, ranging from $0$ to $2\\pi$.\n",
     "- $\\theta$ is the **polar angle** and ranges from $0$ to $\\pi$. SciPy represents this as $\\phi$ with the same range.\n",

From 384f8eaa6429dcdc6556c117a8bdbac6bbffdd43 Mon Sep 17 00:00:00 2001
From: GitHub <noreply@github.com>
Date: Sun, 1 Feb 2026 18:00:39 +0000
Subject: [PATCH 13/18] MAINT: update lock files

---
 .pre-commit-config.yaml | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/.pre-commit-config.yaml b/.pre-commit-config.yaml
index b957314..30d7d1a 100644
--- a/.pre-commit-config.yaml
+++ b/.pre-commit-config.yaml
@@ -12,7 +12,7 @@ repos:
       - id: check-useless-excludes
 
   - repo: https://github.com/ComPWA/policy
-    rev: 0.8.2rc12
+    rev: 0.8.2rc13
     hooks:
       - id: check-dev-files
         args:

From 0301cd67d356d525856ebe671d8bfe654a831c43 Mon Sep 17 00:00:00 2001
From: Remco de Boer <29308176+redeboer@users.noreply.github.com>
Date: Wed, 4 Feb 2026 17:18:12 +0100
Subject: [PATCH 14/18] MAINT: upgrade lock files

---
 .pre-commit-config.yaml |  7 +++--
 docs/003/uv.lock        | 12 ++++----
 docs/004/uv.lock        | 12 ++++----
 docs/005/uv.lock        | 12 ++++----
 docs/006/index.ipynb    |  4 +--
 docs/006/uv.lock        | 12 ++++----
 docs/009/uv.lock        |  6 ++--
 docs/010/uv.lock        |  6 ++--
 docs/012/uv.lock        | 48 ++++++++++++++---------------
 docs/013/uv.lock        | 52 +++++++++++++++----------------
 docs/014/uv.lock        | 12 ++++----
 docs/015/uv.lock        |  6 ++--
 docs/016/uv.lock        |  6 ++--
 docs/017/uv.lock        | 12 ++++----
 docs/018/uv.lock        | 52 +++++++++++++++----------------
 docs/020/uv.lock        | 68 +++++++++++++++++++----------------------
 docs/021/uv.lock        | 12 ++++----
 docs/022/uv.lock        | 12 ++++----
 docs/023/uv.lock        |  6 ++--
 docs/024/uv.lock        | 12 ++++----
 docs/025/uv.lock        | 18 +++++------
 docs/026/index.ipynb    |  4 +--
 docs/026/uv.lock        | 12 ++++----
 docs/027/uv.lock        | 18 +++++------
 docs/029/uv.lock        |  6 ++--
 docs/030/uv.lock        | 52 +++++++++++++++----------------
 docs/031/uv.lock        | 52 +++++++++++++++----------------
 docs/032/uv.lock        | 52 +++++++++++++++----------------
 docs/033/uv.lock        | 64 +++++++++++++++++++-------------------
 docs/034/uv.lock        |  6 ++--
 docs/035/index.ipynb    |  6 ++--
 docs/035/uv.lock        | 52 +++++++++++++++----------------
 pixi.lock               | 40 ++++++++++++------------
 uv.lock                 | 55 ++++++++++++++++-----------------
 34 files changed, 401 insertions(+), 405 deletions(-)

diff --git a/.pre-commit-config.yaml b/.pre-commit-config.yaml
index 30d7d1a..18a05b1 100644
--- a/.pre-commit-config.yaml
+++ b/.pre-commit-config.yaml
@@ -12,7 +12,7 @@ repos:
       - id: check-useless-excludes
 
   - repo: https://github.com/ComPWA/policy
-    rev: 0.8.2rc13
+    rev: 0.8.2rc15
     hooks:
       - id: check-dev-files
         args:
@@ -28,6 +28,7 @@ repos:
       - id: fix-nbformat-version
       - id: remove-empty-tags
       - id: set-nb-display-name
+      - id: strip-nb-whitespace
 
   - repo: https://github.com/kynan/nbstripout
     rev: 0.9.0
@@ -77,7 +78,7 @@ repos:
           )$
 
   - repo: https://github.com/astral-sh/ruff-pre-commit
-    rev: v0.14.14
+    rev: v0.15.0
     hooks:
       - id: ruff-check
         args: [--fix]
@@ -160,6 +161,6 @@ repos:
         types_or: [python, pyi, jupyter]
 
   - repo: https://github.com/astral-sh/uv-pre-commit
-    rev: 0.9.28
+    rev: 0.9.29
     hooks:
       - id: uv-lock
diff --git a/docs/003/uv.lock b/docs/003/uv.lock
index 6bf6843..9aa9f99 100644
--- a/docs/003/uv.lock
+++ b/docs/003/uv.lock
@@ -201,7 +201,7 @@ wheels = [
 
 [[package]]
 name = "ipython"
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+version = "9.10.0"
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 dependencies = [
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@@ -215,9 +215,9 @@ dependencies = [
     { name = "stack-data" },
     { name = "traitlets" },
 ]
-sdist = { url = "https://files.pythonhosted.org/packages/46/dd/fb08d22ec0c27e73c8bc8f71810709870d51cadaf27b7ddd3f011236c100/ipython-9.9.0.tar.gz", hash = "sha256:48fbed1b2de5e2c7177eefa144aba7fcb82dac514f09b57e2ac9da34ddb54220", size = 4425043, upload-time = "2026-01-05T12:36:46.233Z" }
+sdist = { url = "https://files.pythonhosted.org/packages/a6/60/2111715ea11f39b1535bed6024b7dec7918b71e5e5d30855a5b503056b50/ipython-9.10.0.tar.gz", hash = "sha256:cd9e656be97618a0676d058134cd44e6dc7012c0e5cb36a9ce96a8c904adaf77", size = 4426526, upload-time = "2026-02-02T10:00:33.594Z" }
 wheels = [
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+    { url = "https://files.pythonhosted.org/packages/3d/aa/898dec789a05731cd5a9f50605b7b44a72bd198fd0d4528e11fc610177cc/ipython-9.10.0-py3-none-any.whl", hash = "sha256:c6ab68cc23bba8c7e18e9b932797014cc61ea7fd6f19de180ab9ba73e65ee58d", size = 622774, upload-time = "2026-02-02T10:00:31.503Z" },
 ]
 
 [[package]]
@@ -788,14 +788,14 @@ requires-dist = [
 
 [[package]]
 name = "tqdm"
-version = "4.67.2"
+version = "4.67.3"
 source = { registry = "https://pypi.org/simple" }
 dependencies = [
     { name = "colorama", marker = "sys_platform == 'win32'" },
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-sdist = { url = "https://files.pythonhosted.org/packages/27/89/4b0001b2dab8df0a5ee2787dcbe771de75ded01f18f1f8d53dedeea2882b/tqdm-4.67.2.tar.gz", hash = "sha256:649aac53964b2cb8dec76a14b405a4c0d13612cb8933aae547dd144eacc99653", size = 169514, upload-time = "2026-01-30T23:12:06.555Z" }
+sdist = { url = "https://files.pythonhosted.org/packages/09/a9/6ba95a270c6f1fbcd8dac228323f2777d886cb206987444e4bce66338dd4/tqdm-4.67.3.tar.gz", hash = "sha256:7d825f03f89244ef73f1d4ce193cb1774a8179fd96f31d7e1dcde62092b960bb", size = 169598, upload-time = "2026-02-03T17:35:53.048Z" }
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+    { url = "https://files.pythonhosted.org/packages/16/e1/3079a9ff9b8e11b846c6ac5c8b5bfb7ff225eee721825310c91b3b50304f/tqdm-4.67.3-py3-none-any.whl", hash = "sha256:ee1e4c0e59148062281c49d80b25b67771a127c85fc9676d3be5f243206826bf", size = 78374, upload-time = "2026-02-03T17:35:50.982Z" },
 ]
 
 [[package]]
diff --git a/docs/004/uv.lock b/docs/004/uv.lock
index a8292a2..34c7a06 100644
--- a/docs/004/uv.lock
+++ b/docs/004/uv.lock
@@ -166,7 +166,7 @@ wheels = [
 
 [[package]]
 name = "ipython"
-version = "9.9.0"
+version = "9.10.0"
 source = { registry = "https://pypi.org/simple" }
 dependencies = [
     { name = "colorama", marker = "sys_platform == 'win32'" },
@@ -180,9 +180,9 @@ dependencies = [
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     { name = "traitlets" },
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-sdist = { url = "https://files.pythonhosted.org/packages/46/dd/fb08d22ec0c27e73c8bc8f71810709870d51cadaf27b7ddd3f011236c100/ipython-9.9.0.tar.gz", hash = "sha256:48fbed1b2de5e2c7177eefa144aba7fcb82dac514f09b57e2ac9da34ddb54220", size = 4425043, upload-time = "2026-01-05T12:36:46.233Z" }
+sdist = { url = "https://files.pythonhosted.org/packages/a6/60/2111715ea11f39b1535bed6024b7dec7918b71e5e5d30855a5b503056b50/ipython-9.10.0.tar.gz", hash = "sha256:cd9e656be97618a0676d058134cd44e6dc7012c0e5cb36a9ce96a8c904adaf77", size = 4426526, upload-time = "2026-02-02T10:00:33.594Z" }
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+    { url = "https://files.pythonhosted.org/packages/3d/aa/898dec789a05731cd5a9f50605b7b44a72bd198fd0d4528e11fc610177cc/ipython-9.10.0-py3-none-any.whl", hash = "sha256:c6ab68cc23bba8c7e18e9b932797014cc61ea7fd6f19de180ab9ba73e65ee58d", size = 622774, upload-time = "2026-02-02T10:00:31.503Z" },
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 [[package]]
@@ -675,14 +675,14 @@ requires-dist = [
 
 [[package]]
 name = "tqdm"
-version = "4.67.2"
+version = "4.67.3"
 source = { registry = "https://pypi.org/simple" }
 dependencies = [
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+sdist = { url = "https://files.pythonhosted.org/packages/09/a9/6ba95a270c6f1fbcd8dac228323f2777d886cb206987444e4bce66338dd4/tqdm-4.67.3.tar.gz", hash = "sha256:7d825f03f89244ef73f1d4ce193cb1774a8179fd96f31d7e1dcde62092b960bb", size = 169598, upload-time = "2026-02-03T17:35:53.048Z" }
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+    { url = "https://files.pythonhosted.org/packages/16/e1/3079a9ff9b8e11b846c6ac5c8b5bfb7ff225eee721825310c91b3b50304f/tqdm-4.67.3-py3-none-any.whl", hash = "sha256:ee1e4c0e59148062281c49d80b25b67771a127c85fc9676d3be5f243206826bf", size = 78374, upload-time = "2026-02-03T17:35:50.982Z" },
 ]
 
 [[package]]
diff --git a/docs/005/uv.lock b/docs/005/uv.lock
index 1e732eb..5294a07 100644
--- a/docs/005/uv.lock
+++ b/docs/005/uv.lock
@@ -181,7 +181,7 @@ wheels = [
 
 [[package]]
 name = "ipython"
-version = "9.9.0"
+version = "9.10.0"
 source = { registry = "https://pypi.org/simple" }
 dependencies = [
     { name = "colorama", marker = "sys_platform == 'win32'" },
@@ -195,9 +195,9 @@ dependencies = [
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     { name = "traitlets" },
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-sdist = { url = "https://files.pythonhosted.org/packages/46/dd/fb08d22ec0c27e73c8bc8f71810709870d51cadaf27b7ddd3f011236c100/ipython-9.9.0.tar.gz", hash = "sha256:48fbed1b2de5e2c7177eefa144aba7fcb82dac514f09b57e2ac9da34ddb54220", size = 4425043, upload-time = "2026-01-05T12:36:46.233Z" }
+sdist = { url = "https://files.pythonhosted.org/packages/a6/60/2111715ea11f39b1535bed6024b7dec7918b71e5e5d30855a5b503056b50/ipython-9.10.0.tar.gz", hash = "sha256:cd9e656be97618a0676d058134cd44e6dc7012c0e5cb36a9ce96a8c904adaf77", size = 4426526, upload-time = "2026-02-02T10:00:33.594Z" }
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 [[package]]
@@ -688,14 +688,14 @@ requires-dist = [
 
 [[package]]
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-version = "4.67.2"
+version = "4.67.3"
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 [[package]]
diff --git a/docs/006/index.ipynb b/docs/006/index.ipynb
index 9a68716..f7ffae2 100644
--- a/docs/006/index.ipynb
+++ b/docs/006/index.ipynb
@@ -427,7 +427,7 @@
     "\n",
     "1. Set `continuous_update=False`, because {mod}`plotly` is slower than {mod}`matplotlib` in updating the figure.\n",
     "2. Save the camera orientation and update it after calling `Figure.show()`.\n",
-    "3. When embedding the notebook a static webpage with [MyST-NB](https://myst-nb.readthedocs.io), avoid calling `Figure.show()` through [`ipywidgets.interactive_output()`](https://ipywidgets.readthedocs.io/en/stable/examples/Using%20Interact.html), because it causes the notebook to hang in some cycle (see CI for [ComPWA/compwa.github.io@d9240f1](https://github.com/ComPWA/compwa.github.io/pull/208/commits/d9240f1)). In the example below, the `update_plotly()` function is aborted if the notebook is run through Sphinx. "
+    "3. When embedding the notebook a static webpage with [MyST-NB](https://myst-nb.readthedocs.io), avoid calling `Figure.show()` through [`ipywidgets.interactive_output()`](https://ipywidgets.readthedocs.io/en/stable/examples/Using%20Interact.html), because it causes the notebook to hang in some cycle (see CI for [ComPWA/compwa.github.io@d9240f1](https://github.com/ComPWA/compwa.github.io/pull/208/commits/d9240f1)). In the example below, the `update_plotly()` function is aborted if the notebook is run through Sphinx."
    ]
   },
   {
@@ -521,7 +521,7 @@
    "name": "python",
    "nbconvert_exporter": "python",
    "pygments_lexer": "ipython3",
-   "version": "3.12.6"
+   "version": "3.13.11"
   }
  },
  "nbformat": 4,
diff --git a/docs/006/uv.lock b/docs/006/uv.lock
index 4410369..0a907d5 100644
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+++ b/docs/006/uv.lock
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@@ -340,11 +340,11 @@ wheels = [
 
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index 8e0f78f..d1e4b3e 100644
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diff --git a/pixi.lock b/pixi.lock
index 9be5553..64bb15b 100644
--- a/pixi.lock
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-  timestamp: 1769721396484
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From 22cac473e7d25355abb357121d7cc3a7f288af2a Mon Sep 17 00:00:00 2001
From: GitHub <noreply@github.com>
Date: Wed, 4 Feb 2026 16:19:46 +0000
Subject: [PATCH 15/18] MAINT: update lock files

---
 pixi.lock | 18 +++++++++---------
 1 file changed, 9 insertions(+), 9 deletions(-)

diff --git a/pixi.lock b/pixi.lock
index 64bb15b..888f81e 100644
--- a/pixi.lock
+++ b/pixi.lock
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-      - conda: https://conda.anaconda.org/conda-forge/linux-64/xorg-libxcomposite-0.4.6-hb9d3cd8_2.conda
+      - conda: https://conda.anaconda.org/conda-forge/linux-64/xorg-libxcomposite-0.4.7-hb03c661_0.conda
       - conda: https://conda.anaconda.org/conda-forge/linux-64/xorg-libxcursor-1.2.3-hb9d3cd8_0.conda
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       - conda: https://conda.anaconda.org/conda-forge/linux-64/xorg-libxdmcp-1.1.5-hb03c661_1.conda
@@ -2155,18 +2155,18 @@ packages:
   license_family: MIT
   size: 15321
   timestamp: 1762976464266
-- conda: https://conda.anaconda.org/conda-forge/linux-64/xorg-libxcomposite-0.4.6-hb9d3cd8_2.conda
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-  md5: d3c295b50f092ab525ffe3c2aa4b7413
+- conda: https://conda.anaconda.org/conda-forge/linux-64/xorg-libxcomposite-0.4.7-hb03c661_0.conda
+  sha256: 048c103000af9541c919deef03ae7c5e9c570ffb4024b42ecb58dbde402e373a
+  md5: f2ba4192d38b6cef2bb2c25029071d90
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-  - libgcc >=13
-  - xorg-libx11 >=1.8.10,<2.0a0
-  - xorg-libxfixes >=6.0.1,<7.0a0
+  - libgcc >=14
+  - xorg-libx11 >=1.8.12,<2.0a0
+  - xorg-libxfixes >=6.0.2,<7.0a0
   license: MIT
   license_family: MIT
-  size: 13603
-  timestamp: 1727884600744
+  size: 14415
+  timestamp: 1770044404696
 - conda: https://conda.anaconda.org/conda-forge/linux-64/xorg-libxcursor-1.2.3-hb9d3cd8_0.conda
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From 54f99d02a32f74842475c79a5883d490b728df39 Mon Sep 17 00:00:00 2001
From: Remco de Boer <29308176+redeboer@users.noreply.github.com>
Date: Wed, 4 Feb 2026 17:31:06 +0100
Subject: [PATCH 16/18] FIX: remove Varenna slides citation

---
 docs/005/index.ipynb  | 2 +-
 docs/bibliography.bib | 9 ---------
 2 files changed, 1 insertion(+), 10 deletions(-)

diff --git a/docs/005/index.ipynb b/docs/005/index.ipynb
index ee1d881..936ecc6 100644
--- a/docs/005/index.ipynb
+++ b/docs/005/index.ipynb
@@ -51,7 +51,7 @@
    "cell_type": "markdown",
    "metadata": {},
    "source": [
-    "This report investigates how to implement $K$-matrix dynamics with {doc}`SymPy <sympy:index>`. We here describe only the version that is **not Lorentz-invariant**, because it is simplest and allows us to check whether the case $n_R=1, n=1$ (single resonance, single channel) reduces to a Breit-Wigner function. We followed the physics as described by {pdg-review}`Resonances` and {cite}`Chung:1995dx,petersPartialWaveAnalysis2004,meyerMatrixTutorial2008`. For the Lorentz-invariant version, see [TR-009](../009/index.ipynb).\n",
+    "This report investigates how to implement $K$-matrix dynamics with {doc}`SymPy <sympy:index>`. We here describe only the version that is **not Lorentz-invariant**, because it is simplest and allows us to check whether the case $n_R=1, n=1$ (single resonance, single channel) reduces to a Breit-Wigner function. We followed the physics as described by {pdg-review}`Resonances` and {cite}`Chung:1995dx,meyerMatrixTutorial2008`. For the Lorentz-invariant version, see [TR-009](../009/index.ipynb).\n",
     "\n",
     "A brief overview of the origin of the $\\boldsymbol{K}$-matrix is given first. This overview follows {cite}`Chung:1995dx`, but skips over quite a few details, as this is only an attempt to provide some context of what is going on."
    ]
diff --git a/docs/bibliography.bib b/docs/bibliography.bib
index 0fd6d47..a11263a 100644
--- a/docs/bibliography.bib
+++ b/docs/bibliography.bib
@@ -145,15 +145,6 @@ @misc{meyerMatrixTutorial2008
   url = {http://www.curtismeyer.com/talks/PWA_Munich_KMatrix.pdf}
 }
 
-@misc{petersPartialWaveAnalysis2004,
-  title = {Partial {{Wave Analysis}}},
-  author = {Peters, Klaus},
-  year = {2004},
-  month = jun,
-  address = {Varenna},
-  url = {https://slideplayer.com/slide/1676572}
-}
-
 @misc{Richman:1984gh,
   title = {An {{Experimenter}}'s {{Guide}} to the {{Helicity Formalism}}},
   author = {Richman, Jeffrey D.},

From 85c6f5216fd40330042bae1ecc6bbf86510ddc70 Mon Sep 17 00:00:00 2001
From: Remco de Boer <29308176+redeboer@users.noreply.github.com>
Date: Thu, 5 Feb 2026 13:50:41 +0100
Subject: [PATCH 17/18] MAINT: upgrade lock files

---
 .pre-commit-config.yaml |  2 +-
 pixi.lock               | 40 ++++++++++++-------------
 uv.lock                 | 65 +++++++++++++++++++++++------------------
 3 files changed, 57 insertions(+), 50 deletions(-)

diff --git a/.pre-commit-config.yaml b/.pre-commit-config.yaml
index 18a05b1..42856e7 100644
--- a/.pre-commit-config.yaml
+++ b/.pre-commit-config.yaml
@@ -161,6 +161,6 @@ repos:
         types_or: [python, pyi, jupyter]
 
   - repo: https://github.com/astral-sh/uv-pre-commit
-    rev: 0.9.29
+    rev: 0.9.30
     hooks:
       - id: uv-lock
diff --git a/pixi.lock b/pixi.lock
index 888f81e..fc494fa 100644
--- a/pixi.lock
+++ b/pixi.lock
@@ -83,7 +83,7 @@ environments:
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       - conda: https://conda.anaconda.org/conda-forge/linux-64/pthread-stubs-0.4-hb9d3cd8_1002.conda
-      - conda: https://conda.anaconda.org/conda-forge/linux-64/uv-0.9.29-h6dd6661_0.conda
+      - conda: https://conda.anaconda.org/conda-forge/linux-64/uv-0.9.30-h6dd6661_0.conda
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@@ -151,7 +151,7 @@ environments:
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-      - conda: https://conda.anaconda.org/conda-forge/osx-64/uv-0.9.29-h83e63da_0.conda
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-      - conda: https://conda.anaconda.org/conda-forge/osx-arm64/uv-0.9.29-h9b11cc2_0.conda
+      - conda: https://conda.anaconda.org/conda-forge/osx-arm64/uv-0.9.30-h9b11cc2_0.conda
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 packages:
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@@ -2054,40 +2054,40 @@ packages:
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-- conda: https://conda.anaconda.org/conda-forge/linux-64/uv-0.9.29-h6dd6661_0.conda
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diff --git a/uv.lock b/uv.lock
index bf5f419..7ee835f 100644
--- a/uv.lock
+++ b/uv.lock
@@ -2066,17 +2066,24 @@ wheels = [
 
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 [[package]]

From b753e3394199b48e82f9facfff38329b4a06a946 Mon Sep 17 00:00:00 2001
From: GitHub <noreply@github.com>
Date: Thu, 5 Feb 2026 12:52:27 +0000
Subject: [PATCH 18/18] MAINT: update lock files

---
 pixi.lock | 101 ++++++++++++++++++++++++++----------------------------
 1 file changed, 48 insertions(+), 53 deletions(-)

diff --git a/pixi.lock b/pixi.lock
index fc494fa..83062fc 100644
--- a/pixi.lock
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       - conda: https://repo.prefix.dev/julia-forge/osx-arm64/julia-1.10.4-h60d57d3_0.conda
       - conda: https://conda.anaconda.org/conda-forge/osx-arm64/lerc-4.0.0-hd64df32_1.conda
-      - conda: https://conda.anaconda.org/conda-forge/osx-arm64/libcxx-21.1.8-hf598326_1.conda
+      - conda: https://conda.anaconda.org/conda-forge/osx-arm64/libcxx-21.1.8-h55c6f16_2.conda
       - conda: https://conda.anaconda.org/conda-forge/osx-arm64/libdeflate-1.25-hc11a715_0.conda
       - conda: https://conda.anaconda.org/conda-forge/osx-arm64/libexpat-2.7.3-haf25636_0.conda
       - conda: https://conda.anaconda.org/conda-forge/osx-arm64/libffi-3.5.2-hcf2aa1b_0.conda
@@ -1073,24 +1073,24 @@ packages:
   license_family: Apache
   size: 4523621
   timestamp: 1749905341688
-- conda: https://conda.anaconda.org/conda-forge/osx-64/libcxx-21.1.8-h3d58e20_1.conda
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-  md5: 7a582e52af3e0e495ba3ba9e1e87c7bb
+- conda: https://conda.anaconda.org/conda-forge/osx-64/libcxx-21.1.8-h4fb565c_2.conda
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+  md5: 1ac756454e65fb3fd7bc7de599526e43
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   license: Apache-2.0 WITH LLVM-exception
   license_family: Apache
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-  md5: cd7367d0c0f49853f8f3560bfb4456ab
+  size: 571912
+  timestamp: 1770237202404
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+  md5: 4cb5878bdb9ebfa65b7cdff5445087c5
   depends:
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   license: Apache-2.0 WITH LLVM-exception
   license_family: Apache
-  size: 570705
-  timestamp: 1769754656112
+  size: 570068
+  timestamp: 1770238262922
 - conda: https://conda.anaconda.org/conda-forge/linux-64/libdeflate-1.25-h17f619e_0.conda
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   md5: 6c77a605a7a689d17d4819c0f8ac9a00
@@ -1285,28 +1285,26 @@ packages:
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   size: 346703
   timestamp: 1757947166116
-- conda: https://conda.anaconda.org/conda-forge/linux-64/libgcc-15.2.0-he0feb66_16.conda
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-  md5: 6d0363467e6ed84f11435eb309f2ff06
+- conda: https://conda.anaconda.org/conda-forge/linux-64/libgcc-15.2.0-he0feb66_17.conda
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+  md5: 3c281169ea25b987311400d7a7e28445
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   - _openmp_mutex >=4.5
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-  - libgomp 15.2.0 he0feb66_16
+  - libgcc-ng ==15.2.0=*_17
+  - libgomp 15.2.0 he0feb66_17
   license: GPL-3.0-only WITH GCC-exception-3.1
-  license_family: GPL
-  size: 1042798
-  timestamp: 1765256792743
-- conda: https://conda.anaconda.org/conda-forge/linux-64/libgcc-ng-15.2.0-h69a702a_16.conda
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-  md5: 5a68259fac2da8f2ee6f7bfe49c9eb8b
+  size: 1040478
+  timestamp: 1770252533873
+- conda: https://conda.anaconda.org/conda-forge/linux-64/libgcc-ng-15.2.0-h69a702a_17.conda
+  sha256: bdfe50501e4a2d904a5eae65a7ae26e2b7a29b473ab084ad55d96080b966502e
+  md5: 1478bfa85224a65ab096d69ffd2af1e5
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+  - libgcc 15.2.0 he0feb66_17
   license: GPL-3.0-only WITH GCC-exception-3.1
-  license_family: GPL
-  size: 27256
-  timestamp: 1765256804124
+  size: 27541
+  timestamp: 1770252546553
 - conda: https://conda.anaconda.org/conda-forge/linux-64/libgd-2.3.3-h5fbf134_12.conda
   sha256: 245be793e831170504f36213134f4c24eedaf39e634679809fd5391ad214480b
   md5: 88c1c66987cd52a712eea89c27104be6
@@ -1464,15 +1462,14 @@ packages:
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   size: 26388
   timestamp: 1731331003255
-- conda: https://conda.anaconda.org/conda-forge/linux-64/libgomp-15.2.0-he0feb66_16.conda
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-  md5: 26c46f90d0e727e95c6c9498a33a09f3
+- conda: https://conda.anaconda.org/conda-forge/linux-64/libgomp-15.2.0-he0feb66_17.conda
+  sha256: b961b5dd9761907a7179678b58a69bb4fc16b940eb477f635aea3aec0a3f17a6
+  md5: 51b78c6a757575c0d12f4401ffc67029
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   license: GPL-3.0-only WITH GCC-exception-3.1
-  license_family: GPL
-  size: 603284
-  timestamp: 1765256703881
+  size: 603334
+  timestamp: 1770252441199
 - conda: https://conda.anaconda.org/conda-forge/linux-64/libiconv-1.18-h3b78370_2.conda
   sha256: c467851a7312765447155e071752d7bf9bf44d610a5687e32706f480aad2833f
   md5: 915f5995e94f60e9a4826e0b0920ee88
@@ -1662,27 +1659,25 @@ packages:
   license: LGPL-2.1-or-later
   size: 2344343
   timestamp: 1759328503184
-- conda: https://conda.anaconda.org/conda-forge/linux-64/libstdcxx-15.2.0-h934c35e_16.conda
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-  md5: 68f68355000ec3f1d6f26ea13e8f525f
+- conda: https://conda.anaconda.org/conda-forge/linux-64/libstdcxx-15.2.0-h934c35e_17.conda
+  sha256: 50c48cd3716a2e58e8e2e02edc78fef2d08fffe1e3b1ed40eb5f87e7e2d07889
+  md5: 24c2fe35fa45cd71214beba6f337c071
   depends:
   - __glibc >=2.17,<3.0.a0
-  - libgcc 15.2.0 he0feb66_16
+  - libgcc 15.2.0 he0feb66_17
   constrains:
-  - libstdcxx-ng ==15.2.0=*_16
+  - libstdcxx-ng ==15.2.0=*_17
   license: GPL-3.0-only WITH GCC-exception-3.1
-  license_family: GPL
-  size: 5856456
-  timestamp: 1765256838573
-- conda: https://conda.anaconda.org/conda-forge/linux-64/libstdcxx-ng-15.2.0-hdf11a46_16.conda
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-  md5: 1b3152694d236cf233b76b8c56bf0eae
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+- conda: https://conda.anaconda.org/conda-forge/linux-64/libstdcxx-ng-15.2.0-hdf11a46_17.conda
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   license: GPL-3.0-only WITH GCC-exception-3.1
-  license_family: GPL
-  size: 27300
-  timestamp: 1765256885128
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