{"id": "c1277", "title": "C1277 — Compare row-rounded blocks with once-rounded block totals", "filename": "C1277.md", "role": "Research action", "step": 1277, "sha256": "1a19070e6aa1807dd19d73ed1e9c3a17e3c50073c6c4d8dabe5abc0bc958037b", "bytes": 1298, "origins": ["C480–C1634/Research_Cycles/C1132_C1431_Recovered/journal.json#C1277"], "download": "/sources/1a19070e6aa1807dd19d73ed1e9c3a17e3c50073c6c4d8dabe5abc0bc958037b.md", "format": "md", "derived": true, "tags": ["Rounded"], "excerpt": "Can theMosesblockdiagram preserve thesourceRoundedpath withoutlosingresidualinformation?", "content": "# C1277 — Compare row-rounded blocks with once-rounded block totals\n\n## Question\n\nCan theMosesblockdiagram preserve thesourceRoundedpath withoutlosingresidualinformation?\n\n## Inputs\n\n```json\n{}\n```\n\n## Sources\n\n```json\n[\n  \"C1234\",\n  \"C1236\",\n  \"C1218\",\n  \"prep/common_representation_architecture.md\"\n]\n```\n\n## Opened utc\n\n2026-09-28T05:58:57.259004+00:00\n\n## Results\n\n```json\n{\n  \"block_rounding_order\": {\n    \"path\": \"model/Moses_block_rounding_order.json\",\n    \"sha256\": \"819d2815e50c8f363ccc8662e4f0285dbfce8e4c58951205349674943f80e184\",\n    \"bytes\": 1037\n  },\n  \"block_residuals\": [\n    0,\n    2,\n    4,\n    -1,\n    1\n  ]\n}\n```\n\n## Finding\n\nThe fiveblocks retain residuals0,2,4,−1,1. Enoch-to-Arphaxad is1030 afterrowrounding but1035 iftheexactblock isroundedonce; thewholepath is2580 ratherthanQ(2586)=2585. Thediagrammustretain thedeclaredoperationorder.\n\n## Reassessment\n\nVerify thecomplete25-nodeexactfield isrecoveredby accumulatedrowresiduals.\n\n## Checks\n\n```json\n{\n  \"exact_blocks\": true,\n  \"residuals\": true,\n  \"distinction\": true,\n  \"whole\": true\n}\n```\n\n## Closed utc\n\n2026-09-28T05:58:57.259698+00:00\n\n## Record provenance\n\nExact record hash: `e9d141c62a82e97cb54c8c4b36d05059c97041203fbad8da3a2eebf49dbcd0e5`\n\nSource journal: `Research_Cycles/C1132_C1431_Recovered/journal.json`", "journalDownload": "/sources/6adb632ce171623c2bce60d7ed58ae319ccb379cf76b751c0a477c1742fd348c.json", "evidenceLinks": [{"id": "d-819d2815e50c8f36", "title": "model/Moses_block_rounding_order.json"}]}