{"id": "c788", "title": "C788 — Transfer the aligned family through rounding", "filename": "C788.md", "role": "Research action", "step": 788, "sha256": "73a29d954479e523fede8d65947af6288f27f31390fe8101280cf65dcd586184", "bytes": 1443, "origins": ["C480–C1634/Research_Cycles/C0732_C0831/journal.json#C788"], "download": "/sources/73a29d954479e523fede8d65947af6288f27f31390fe8101280cf65dcd586184.md", "format": "md", "derived": true, "tags": ["Regular", "Cumulative", "Rounded"], "excerpt": "Do equal births remain equal while cumulative divergence changes locally?", "content": "# C788 — Transfer the aligned family through rounding\n\n## Question\n\nDo equal births remain equal while cumulative divergence changes locally?\n\n## Inputs\n\n```json\n{}\n```\n\n## Sources\n\n```json\n[\n  \"C787; File18 rows and Q5 rule\"\n]\n```\n\n## Opened utc\n\n2026-09-28T02:03:39.670036+00:00\n\n## Results\n\n```json\n{\n  \"rounded_begetting_differences\": [\n    0,\n    0,\n    0,\n    0,\n    0,\n    0,\n    0,\n    0,\n    0,\n    0,\n    0,\n    0\n  ],\n  \"rounded_lifespan_differences\": [\n    0,\n    0,\n    25,\n    0,\n    25,\n    100,\n    100,\n    100,\n    100,\n    60,\n    60,\n    0\n  ],\n  \"rounded_cumulative_differences\": [\n    570,\n    570,\n    570,\n    545,\n    545,\n    520,\n    420,\n    320,\n    220,\n    120,\n    60,\n    0\n  ],\n  \"scope\": \"derived row-rounding comparison with matched source bindings/anchor\"\n}\n```\n\n## Finding\n\nThe aligned birth family survives rounding because its source begetting rows agree. Its cumulative divergence changes574→570 through Arphaxad and Shelah27→25, preserving the explanation by different measurements of the same rows.\n\n## Reassessment\n\nCondense the result into an explicit representation map.\n\n## Checks\n\n```json\n{\n  \"birth_rows_equal\": true,\n  \"cum_head\": true,\n  \"only_two_changed\": true\n}\n```\n\n## Closed utc\n\n2026-09-28T02:03:39.670706+00:00\n\n## Record provenance\n\nExact record hash: `e65d3c95e43eb3a895c661450dd05ea5ab2639cbcb81f37cfe30258a6e5919f4`\n\nSource journal: `Research_Cycles/C0732_C0831/journal.json`", "journalDownload": "/sources/8ea2b882289fbcea5cf11177923617f0c1d1ad7e6eaa3bffb174c6f89699d97d.json", "evidenceLinks": [{"id": "d-68301ab760bfbe2e", "title": "File 18"}]}