{"id": "c1139", "title": "C1139 — Complete the age reconstruction with a stated source basis", "filename": "C1139.md", "role": "Research action", "step": 1139, "sha256": "fe07e52b804d31804691b3a77da8c4af07ff87205250c0f6ed7239e841338265", "bytes": 1287, "origins": ["C480–C1634/Research_Cycles/C1132_C1431_Recovered/journal.json#C1139"], "download": "/sources/fe07e52b804d31804691b3a77da8c4af07ff87205250c0f6ed7239e841338265.md", "format": "md", "derived": true, "tags": ["Counts & NT"], "excerpt": "Which retained source coordinates close the unconstrained linear age model?", "content": "# C1139 — Complete the age reconstruction with a stated source basis\n\n## Question\n\nWhich retained source coordinates close the unconstrained linear age model?\n\n## Inputs\n\n```json\n{}\n```\n\n## Sources\n\n```json\n[\n  \"C1133–C1134\",\n  \"File18 §3.1\"\n]\n```\n\n## Opened utc\n\n2026-09-28T04:59:58.322531+00:00\n\n## Results\n\n```json\n{\n  \"age_basis\": {\n    \"path\": \"model/SP_age_basis_completion.json\",\n    \"sha256\": \"b4a86d46e1fe491032030e01dbd19b5f4be75570e41dd6ec824d20c3883fe9de\",\n    \"bytes\": 1248\n  },\n  \"rank\": 9,\n  \"reconstructed\": [\n    130,\n    105,\n    90,\n    70,\n    65,\n    62,\n    65,\n    67,\n    52\n  ]\n}\n```\n\n## Finding\n\nThe shared65 age and two interior ages provide an exact full-rank reconstruction after the six stated relations are retained. The distinction between a rational model and a bounded grid explains their different identification costs.\n\n## Reassessment\n\nAudit the full input cost so reverse cap recovery is not counted as a new independent source explanation.\n\n## Checks\n\n```json\n{\n  \"full_rank\": true,\n  \"actual_recovered\": true\n}\n```\n\n## Closed utc\n\n2026-09-28T04:59:58.331325+00:00\n\n## Record provenance\n\nExact record hash: `2380f5ec86d29a6854949064dffb7d07a6b59091aaa7cdb5ba3ee7bb8ed6b3bf`\n\nSource journal: `Research_Cycles/C1132_C1431_Recovered/journal.json`", "journalDownload": "/sources/6adb632ce171623c2bce60d7ed58ae319ccb379cf76b751c0a477c1742fd348c.json", "evidenceLinks": [{"id": "d-b4a86d46e1fe4910", "title": "model/SP_age_basis_completion.json"}, {"id": "d-68301ab760bfbe2e", "title": "File 18"}]}