{"id": "c1205", "title": "C1205 — Recover the baseline from branch-appropriate loss data", "filename": "C1205.md", "role": "Research action", "step": 1205, "sha256": "3bd7871b50aad04c7cebd95a1154c2072710183e6607b26d4326b2484ff3c608", "bytes": 1171, "origins": ["C480–C1634/Research_Cycles/C1132_C1431_Recovered/journal.json#C1205"], "download": "/sources/3bd7871b50aad04c7cebd95a1154c2072710183e6607b26d4326b2484ff3c608.md", "format": "md", "derived": true, "tags": ["Inverse"], "excerpt": "Do the three excesses and six ordinary residuals reconstruct the complete ledger?", "content": "# C1205 — Recover the baseline from branch-appropriate loss data\n\n## Question\n\nDo the three excesses and six ordinary residuals reconstruct the complete ledger?\n\n## Inputs\n\n```json\n{}\n```\n\n## Sources\n\n```json\n[\n  \"C1204\"\n]\n```\n\n## Opened utc\n\n2026-09-28T05:26:15.110130+00:00\n\n## Results\n\n```json\n{\n  \"recovery\": {\n    \"path\": \"model/SP_composite_loss_recovery.json\",\n    \"sha256\": \"0a7fb945140282fae094852f57bddd8f2ce60ab0bfaa766ad35a5618e246fa81\",\n    \"bytes\": 1119\n  },\n  \"recovered\": [\n    930,\n    912,\n    905,\n    910,\n    895,\n    962,\n    365,\n    969,\n    777\n  ]\n}\n```\n\n## Finding\n\nThe declared register exactly recovers all nine baseline lives. This is an information-preserving enlargement of the cap-and-round construction, not an inverse of its output alone.\n\n## Reassessment\n\nTest whether the single total488 can replace the three located excesses.\n\n## Checks\n\n```json\n{\n  \"exact_recovery\": true,\n  \"nine_records\": true\n}\n```\n\n## Closed utc\n\n2026-09-28T05:26:15.110563+00:00\n\n## Record provenance\n\nExact record hash: `729f5b4f06ff8e9b30b903352cb9541ca555aba076308042d507b53bf0fc086f`\n\nSource journal: `Research_Cycles/C1132_C1431_Recovered/journal.json`", "journalDownload": "/sources/6adb632ce171623c2bce60d7ed58ae319ccb379cf76b751c0a477c1742fd348c.json", "evidenceLinks": [{"id": "d-0a7fb945140282fa", "title": "model/SP_composite_loss_recovery.json"}]}