Research: cubic precision for cyclic inverses with arbitrary dirty arrays (no new kappa)

.github/workflows/dirty-cubic-precision.yml

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+name: Cubic dirty cyclic precision
+
+on:
+  workflow_dispatch:
+  pull_request:
+    paths:
+      - 'research/dirty-cubic-precision/**'
+      - '.github/workflows/dirty-cubic-precision.yml'
+  push:
+    branches: ['codex/dirty-cubic-precision-20261013']
+    paths:
+      - 'research/dirty-cubic-precision/**'
+      - '.github/workflows/dirty-cubic-precision.yml'
+
+permissions:
+  contents: read
+
+jobs:
+  verify:
+    runs-on: ubuntu-latest
+    timeout-minutes: 45
+    strategy:
+      fail-fast: false
+      matrix:
+        python: ['3.11', '3.14']
+    steps:
+      - uses: actions/checkout@v4
+      - uses: actions/setup-python@v5
+        with:
+          python-version: ${{ matrix.python }}
+      - name: Exact free-algebra, budget and rounded-kernel replay
+        run: python -I -O -B research/dirty-cubic-precision/verify.py --out /tmp/dirty-cubic-math.json
+      - name: Package controls and read-only binding relocation
+        run: python -I -O -B research/dirty-cubic-precision/test_package.py --out /tmp/dirty-cubic-bindings.json
+      - uses: actions/upload-artifact@v4
+        if: always()
+        with:
+          name: dirty-cubic-python-${{ matrix.python }}
+          path: |
+            /tmp/dirty-cubic-math.json
+            /tmp/dirty-cubic-bindings.json

research/dirty-cubic-precision-validation/LINUX314-PACKAGE.json

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+{
+  "status": "PASS_PACKAGE_BINDINGS",
+  "rejected": [
+    {
+      "control": "core",
+      "rejected": "ValueError: package hash: core.py"
+    },
+    {
+      "control": "fixture",
+      "rejected": "ValueError: package hash: vendor/628/FACTORS.json"
+    },
+    {
+      "control": "expected",
+      "rejected": "ValueError: package hash: EXPECTED.json"
+    },
+    {
+      "control": "source_pins",
+      "rejected": "ValueError: package hash: SOURCES.json"
+    },
+    {
+      "control": "missing_source",
+      "rejected": "ValueError: package file coverage"
+    },
+    {
+      "control": "extra_file",
+      "rejected": "ValueError: package file coverage"
+    },
+    {
+      "control": "manifest_path",
+      "rejected": "ValueError: package file coverage"
+    },
+    {
+      "control": "resigned_fixture",
+      "rejected": "ValueError: retained source SHA: vendor/628/FACTORS.json"
+    }
+  ],
+  "read_only_relocation": true,
+  "scope": "Integrity and source pin checks only; mathematical replay is verify.py without --bindings-only."
+}