C8: the cap-failure probability in the proof of Theorem A has an exact planar leading coefficient, Q^W(G_r^c) = c_G(b,k) r^3 + o(r^3), c_G certified (every cap-route constant C_cap on the band exceeds 5.3e6; scientific effect NONE)

.github/workflows/c8-cap-failure-coefficient-planar.yml

@@ -0,0 +1,72 @@
+name: C8 planar cap-failure coefficient (certified replay)
+
+'on':
+  pull_request:
+    paths:
+      - 'frontiers/c8_cap_failure_coefficient_planar_20260930/**'
+      - '.github/workflows/c8-cap-failure-coefficient-planar.yml'
+      - 'imports/lifetime_parent_20260925/UNIFORM_MATRIX_CAP_AND_LIFETIME.md'
+      - 'imports/lifetime_parent_20260925/MARKED_CYLINDER_CAP_PROOF.md'
+      - 'frontiers/c6_cluster_coefficients_numerics_20260930/RESULTS.json'
+      - 'frontiers/local_elder_geometry_20260930/PROOF.md'
+  workflow_dispatch:
+
+permissions:
+  contents: read
+
+jobs:
+  certified-replay:
+    runs-on: ubuntu-latest
+    timeout-minutes: 75
+    steps:
+      - uses: actions/checkout@11d5960a326750d5838078e36cf38b85af677262
+        with:
+          persist-credentials: false
+      - uses: actions/setup-python@a26af69be951a213d495a4c3e4e4022e16d87065
+        with:
+          python-version: '3.11.16'
+      - name: Verify manifest and main-resident pins, recompute every certified enclosure in both interpreter modes, reject mutants
+        env:
+          PYTHONDONTWRITEBYTECODE: '1'
+        run: |
+          set -euo pipefail
+          python -B -S - <<'PY'
+          import concurrent.futures, hashlib, json, pathlib, subprocess, sys
+          root = pathlib.Path('frontiers/c8_cap_failure_coefficient_planar_20260930').resolve()
+          manifest = json.loads((root / 'SOURCE_FILES.json').read_text())['files']
+          present = sorted(p.name for p in root.iterdir())
+          if present != sorted([e['path'] for e in manifest] + ['SOURCE_FILES.json']):
+              raise ValueError('packet tree differs from manifest: ' + repr(present))
+          for entry in manifest:
+              path = root / entry['path']
+              if pathlib.PurePosixPath(entry['path']).name != entry['path'] or path.is_symlink():
+                  raise ValueError('flat regular source required: ' + entry['path'])
+              data = path.read_bytes()
+              if len(data) != entry['bytes'] or hashlib.sha256(data).hexdigest() != entry['sha256']:
+                  raise ValueError('source identity mismatch: ' + entry['path'])
+          pins = json.loads((root / 'SOURCE_MAP.json').read_text())
+          for entry in pins['sources']:
+              if not entry['current_required']:
+                  continue
+              data = pathlib.Path(entry['path']).read_bytes()
+              blob = hashlib.sha1(b'blob %d\0' % len(data) + data).hexdigest()
+              if len(data) != entry['bytes'] or hashlib.sha256(data).hexdigest() != entry['sha256'] or blob != entry['git_blob']:
+                  raise ValueError('consumed source identity mismatch on this tree: ' + entry['path'])
+          script = str(root / 'cap_coefficient.py')
+          for flags in (['-B', '-S'], ['-B', '-O', '-S']):
+              out = subprocess.run([sys.executable, *flags, script, '--check', '--procs', '2'], cwd=root, capture_output=True, timeout=2400)
+              if out.returncode != 0:
+                  raise RuntimeError('check failed under ' + ' '.join(flags) + ': ' + out.stdout.decode()[-400:] + out.stderr.decode()[-400:])
+              print(flags, out.stdout.decode().strip()[-300:])
+          # each mutant fails on the first k value (about four minutes); run them two at a time
+          def mutant(args):
+              flags, m = args
+              return m, flags, subprocess.run([sys.executable, *flags, script, '--check', '--procs', '1', '--mutant', m], cwd=root, capture_output=True, timeout=2400).returncode
+          jobs = [(flags, m) for flags in (['-B', '-S'], ['-B', '-O', '-S']) for m in ['no-third-jet', 'sign-lo', 'variance-yyy']]
+          with concurrent.futures.ThreadPoolExecutor(max_workers=2) as ex:
+              for m, flags, rc in ex.map(mutant, jobs):
+                  if rc != 1:
+                      raise RuntimeError('mutant ' + m + ' not rejected under ' + ' '.join(flags))
+          print(json.dumps({'scientific_effect': 'NONE', 'certified_enclosures_replayed': True, 'mutants_rejected': 6}))
+          PY
+          git diff --exit-code