{"id": "c1198", "title": "C1198 — State the residual information needed to recover an ordinary row", "filename": "C1198.md", "role": "Research action", "step": 1198, "sha256": "85cf43b31c50dfbc26b320a719f31282548fb0fa0332bd6f1ccfc42db2b0044e", "bytes": 1108, "origins": ["C480–C1634/Research_Cycles/C1132_C1431_Recovered/journal.json#C1198"], "download": "/sources/85cf43b31c50dfbc26b320a719f31282548fb0fa0332bd6f1ccfc42db2b0044e.md", "format": "md", "derived": true, "tags": ["Rounded"], "excerpt": "Which one additional coordinate resolves any remaining joint fibre?", "content": "# C1198 — State the residual information needed to recover an ordinary row\n\n## Question\n\nWhich one additional coordinate resolves any remaining joint fibre?\n\n## Inputs\n\n```json\n{}\n```\n\n## Sources\n\n```json\n[\n  \"C1190–C1197\"\n]\n```\n\n## Opened utc\n\n2026-09-28T05:24:59.378862+00:00\n\n## Results\n\n```json\n{\n  \"recovery\": {\n    \"path\": \"model/joint_rounding_residual_recovery.json\",\n    \"sha256\": \"0783a2d7611a7e7908a1a1d4fd35ccb0353d9e71b1a0cffd1690be45463a06f5\",\n    \"bytes\": 4132\n  },\n  \"rows\": 55\n}\n```\n\n## Finding\n\nOne exact residual per ambiguous row supplies what joint rounding removed. Singleton rows need no extra residual, but reading a stored source residual back is reconstruction, not a new discovery.\n\n## Reassessment\n\nConnect the joint fibre to the failure of separate rounding to preserve b+r=L.\n\n## Checks\n\n```json\n{\n  \"all_recovered\": true,\n  \"bounded\": true\n}\n```\n\n## Closed utc\n\n2026-09-28T05:24:59.379523+00:00\n\n## Record provenance\n\nExact record hash: `0dc6366f881466627b757cdf66d884c27ad0f190b17a616cfa0b1a3fa757db30`\n\nSource journal: `Research_Cycles/C1132_C1431_Recovered/journal.json`", "journalDownload": "/sources/6adb632ce171623c2bce60d7ed58ae319ccb379cf76b751c0a477c1742fd348c.json", "evidenceLinks": [{"id": "d-0783a2d7611a7e79", "title": "model/joint_rounding_residual_recovery.json"}]}