{"id": "c1190", "title": "C1190 — Specify the joint Rounded-row observation", "filename": "C1190.md", "role": "Research action", "step": 1190, "sha256": "06f2e7db5fcfa6793c028f5e757ed3205aa471e32a9a61cf78a5cd5d282d47f1", "bytes": 1405, "origins": ["C480–C1634/Research_Cycles/C1132_C1431_Recovered/journal.json#C1190"], "download": "/sources/06f2e7db5fcfa6793c028f5e757ed3205aa471e32a9a61cf78a5cd5d282d47f1.md", "format": "md", "derived": true, "tags": ["Regular", "Rounded", "Mirror / 529"], "excerpt": "What exact data remain after begetting and remaining years are rounded separately?", "content": "# C1190 — Specify the joint Rounded-row observation\n\n## Question\n\nWhat exact data remain after begetting and remaining years are rounded separately?\n\n## Inputs\n\n```json\n{\n  \"Q\": \"nearest multiple of5 on integer nonnegative durations\"\n}\n```\n\n## Sources\n\n```json\n[\n  \"C1189\",\n  \"File51a\",\n  \"File52c_latest.md\",\n  \"C1131 inherited rounding analysis\"\n]\n```\n\n## Opened utc\n\n2026-09-28T05:22:31.861791+00:00\n\n## Results\n\n```json\n{\n  \"observation\": {\n    \"path\": \"model/joint_rounding_observation.json\",\n    \"sha256\": \"dda331935947e8bcd63cba12aa5afc9ec31aa3a07ca64995199c8529d7452d77\",\n    \"bytes\": 540\n  },\n  \"cells\": {\n    \"0\": [\n      0,\n      1,\n      2\n    ],\n    \"5\": [\n      3,\n      4,\n      5,\n      6,\n      7\n    ],\n    \"10\": [\n      8,\n      9,\n      10,\n      11,\n      12\n    ]\n  }\n}\n```\n\n## Finding\n\nJoint Rounded observations restrict two hidden residuals to a bounded line u+v=L−B−R. Nonnegative durations truncate the cell at zero; current derived remainders do not supply independent evidence.\n\n## Reassessment\n\nDerive and verify the exact size of that bounded line for interior cells.\n\n## Checks\n\n```json\n{\n  \"zero_cell\": true,\n  \"interior_cell\": true\n}\n```\n\n## Closed utc\n\n2026-09-28T05:22:31.862131+00:00\n\n## Record provenance\n\nExact record hash: `dfba833c7385eb1f5d5150fc3aebf4a3f3f7510f562aa74723fe41d442e5805a`\n\nSource journal: `Research_Cycles/C1132_C1431_Recovered/journal.json`", "journalDownload": "/sources/6adb632ce171623c2bce60d7ed58ae319ccb379cf76b751c0a477c1742fd348c.json", "evidenceLinks": [{"id": "d-dda331935947e8bc", "title": "model/joint_rounding_observation.json"}, {"id": "d-d8aa38afb2a2df8f", "title": "File 51a"}]}