<aside> ✅

CERTIFIED EXECUTION-PATH CLOSURE · 5/5 PASS Certificate: MC-E47-CORPUS-REPRO-20260912 48 files surveyed · 25 validation execution targets accounted for · zero observed substantive mathematical failures within declared scope.

</aside>

Certificate disposition

The prior corpus audit recorded 20 successful validation executions and five paths blocked before substantive execution by environment, packaging, hard-coded paths, or missing inputs. All five blocked paths have now been repaired and rerun under one pinned runtime: CPython 3.13.5 · NumPy 2.3.5 · SciPy 1.17.0 · Matplotlib 3.10.8.

Target Closure Source fidelity Result
e47_validation.py NumPy 2.x runtime pin Exact source, unmodified PASS · 37 PASS / 10 correction / 8 conditional · numerical failures 0
p325357_certify.py Declared relative evidence layout restored Exact source, unmodified PASS · exact integer/matrix reconstruction · philological release block retained
e47_channel_validation_corrected.py Missing QuTiP execution dependency replaced by NumPy/SciPy compatibility backend Source available; dependency-repaired implementation PASS · projector residual 6.65e-15 · kernel annihilation 1.82e-12 · CP/TNI/CPTP checks pass
selection.py Package-relative import context rebuilt Provenance-marked reconstruction; original audit source unavailable PASS · mu 18 · sigma 12 · roots 6,30 · kernel 47 · ratio .376
step1_central_operator.py Hard-coded machine path replaced by portable local artifact path Provenance-marked reconstruction from legacy validation monograph PASS · legacy negative control preserved: lattice max 10.854101966 · nullity 0 · 68 negative / 57 positive K modes

What the closure establishes

All five formerly blocked execution paths now complete successfully in one pinned environment. Combined with the prior 20 successful executions, the targeted validation scoreboard is 25/25 accounted for with no observed substantive mathematical failure inside each validator's declared scope.

The closure does not erase corrections or negative controls. The legacy lattice-Laplacian step1 remains a falsification witness against that older operator identification, while the canonical SU(2) Casimir E47 construction remains separately typed. Likewise, the P325357 validator retains its philological-release block rather than converting arithmetic closure into textual certainty.

Strict evidence boundary

Reproducibility bundle

Full closure bundle: Google Drive ZIP

Readable closure report: Google Drive Markdown

Drive folder: E47 Corpus Reproducibility Closure — 2026-09-12

The bundle contains the machine-readable certificate, runtime pin, requirements lock, SHA-256 manifest, execution harness, exact sources where available, repaired sources, evidence fixtures, generated certificates, and per-run logs.

Final civic status

Route: Verification → Citadel → Provenance → Archive

Evidence: E1 reproducibility; E0 only where independently established