{"id": "c1158", "title": "C1158 — Recover the shared amplitudes from complementary totals", "filename": "C1158.md", "role": "Research action", "step": 1158, "sha256": "5e18cc20755eadfc19b8cb7baac93bc2616d2407ea240de86203503dc6eac83c", "bytes": 1168, "origins": ["C480–C1634/Research_Cycles/C1132_C1431_Recovered/journal.json#C1158"], "download": "/sources/5e18cc20755eadfc19b8cb7baac93bc2616d2407ea240de86203503dc6eac83c.md", "format": "md", "derived": true, "tags": ["Regular", "Cumulative"], "excerpt": "Do the regular and two cumulative totals jointly determine the fixed-support model?", "content": "# C1158 — Recover the shared amplitudes from complementary totals\n\n## Question\n\nDo the regular and two cumulative totals jointly determine the fixed-support model?\n\n## Inputs\n\n```json\n{}\n```\n\n## Sources\n\n```json\n[\n  \"C1157\"\n]\n```\n\n## Opened utc\n\n2026-09-28T05:06:37.725513+00:00\n\n## Results\n\n```json\n{\n  \"total_parameter_recovery\": {\n    \"path\": \"model/postflood_total_parameter_recovery.json\",\n    \"sha256\": \"b7cbee8e9ee57c6f28bdf47561a51e5ccc5813084a78f29fef11b3d65d7a2bc1\",\n    \"bytes\": 377\n  },\n  \"determinant\": -26,\n  \"parameters\": [\n    100,\n    60,\n    27\n  ]\n}\n```\n\n## Finding\n\nThe three complementary totals recover100,60,27 exactly within the fixed-support model. Their success depends on the located source patterns; totals alone cannot justify that pattern.\n\n## Reassessment\n\nDemonstrate the source-location information that this recovery still requires.\n\n## Checks\n\n```json\n{\n  \"rank3\": true,\n  \"exact_parameters\": true\n}\n```\n\n## Closed utc\n\n2026-09-28T05:06:37.726117+00:00\n\n## Record provenance\n\nExact record hash: `7b52f76db894d11394f9f52d3119c028bce24c704f7cd639ba1e3d93e1003c68`\n\nSource journal: `Research_Cycles/C1132_C1431_Recovered/journal.json`", "journalDownload": "/sources/6adb632ce171623c2bce60d7ed58ae319ccb379cf76b751c0a477c1742fd348c.json", "evidenceLinks": [{"id": "d-b7cbee8e9ee57c6f", "title": "model/postflood_total_parameter_recovery.json"}]}