{"id": "c857", "title": "C857 — Test complete coverage and the affine obstruction", "filename": "C857.md", "role": "Research action", "step": 857, "sha256": "237307b70b0a5d967762f6d624e1ce4e50f0df7b2107c9a7ac169f529ad12dcb", "bytes": 1150, "origins": ["C480–C1634/Research_Cycles/C0832_C0931/journal.json#C857"], "download": "/sources/237307b70b0a5d967762f6d624e1ce4e50f0df7b2107c9a7ac169f529ad12dcb.md", "format": "md", "derived": true, "tags": ["Rounded"], "excerpt": "Can the two original endpoint columns be related by one global affine map?", "content": "# C857 — Test complete coverage and the affine obstruction\n\n## Question\n\nCan the two original endpoint columns be related by one global affine map?\n\n## Inputs\n\n```json\n{}\n```\n\n## Sources\n\n```json\n[\n  \"C852–856\"\n]\n```\n\n## Opened utc\n\n2026-09-28T02:37:32.826457+00:00\n\n## Results\n\n```json\n{\n  \"forced_affine\": {\n    \"slope\": 1,\n    \"shift\": 990,\n    \"defining_sources\": [\n      \"Seth\",\n      \"Enosh\"\n    ]\n  },\n  \"counterexample\": {\n    \"source\": \"Lamech\",\n    \"predicted\": 4226,\n    \"actual\": 5216\n  },\n  \"coverage\": 32\n}\n```\n\n## Finding\n\nTwo distinct990-gap rows force a translation by990, which fails on the1980 branch. The digit-register model covers the complete manifest where a single affine column map cannot.\n\n## Reassessment\n\nIntegrate the gain field with the source-path model without conflating it with rounding.\n\n## Checks\n\n```json\n{\n  \"complete_once\": true,\n  \"affine_fails\": true,\n  \"forced_translation\": true\n}\n```\n\n## Closed utc\n\n2026-09-28T02:37:32.826965+00:00\n\n## Record provenance\n\nExact record hash: `7cf2e86978f10dba3e04a904b127c14515f82451a4f49418bdd91894a44e7ca1`\n\nSource journal: `Research_Cycles/C0832_C0931/journal.json`", "journalDownload": "/sources/6a37be4e218f9f467cbde5e9db3723ce9c79dc78cc97d1a289422b96cb9971e0.json"}