{"id": "c787", "title": "C787 — Accumulate cumulative divergence behind equal births", "filename": "C787.md", "role": "Research action", "step": 787, "sha256": "dbdb156259b21152cc629a401eb9d9f422b0864699d10b46fca88bbec6d1aa0c", "bytes": 1432, "origins": ["C480–C1634/Research_Cycles/C0732_C0831/journal.json#C787"], "download": "/sources/dbdb156259b21152cc629a401eb9d9f422b0864699d10b46fca88bbec6d1aa0c.md", "format": "md", "derived": true, "tags": ["Cumulative", "Rounded"], "excerpt": "What complete cumulative field accompanies the aligned SP/LXX birth suffix?", "content": "# C787 — Accumulate cumulative divergence behind equal births\n\n## Question\n\nWhat complete cumulative field accompanies the aligned SP/LXX birth suffix?\n\n## Inputs\n\n```json\n{}\n```\n\n## Sources\n\n```json\n[\n  \"C743–744,C778; File18 lifespan rows\"\n]\n```\n\n## Opened utc\n\n2026-09-28T02:03:24.362100+00:00\n\n## Results\n\n```json\n{\n  \"field\": {\n    \"path\": \"model/aligned_birth_divergence.json\",\n    \"sha256\": \"aacfd29fd88f42ab72b7891609b9758e925732f16ba5f373eb0eb36f4a7cef4a\",\n    \"bytes\": 1802\n  },\n  \"lifespan_differences\": [\n    0,\n    0,\n    27,\n    0,\n    27,\n    100,\n    100,\n    100,\n    100,\n    60,\n    60,\n    0\n  ],\n  \"cumulative_differences\": [\n    574,\n    574,\n    574,\n    547,\n    547,\n    520,\n    420,\n    320,\n    220,\n    120,\n    60,\n    0\n  ]\n}\n```\n\n## Finding\n\nThe same twelve birth labels coexist with a cumulative difference rising to574 upstream. Death differences are the negative local lifespan changes; cumulative differences are their running sums. This is a complete example of what each representation retains or forgets.\n\n## Reassessment\n\nTest whether the aligned birth family survives row rounding.\n\n## Checks\n\n```json\n{\n  \"head\": true,\n  \"terminal\": true,\n  \"recover_local\": true\n}\n```\n\n## Closed utc\n\n2026-09-28T02:03:24.362934+00:00\n\n## Record provenance\n\nExact record hash: `cbfed35dd249c4ee4bc08dc384ce2b8913a32a422e31bfad67a1d4881d35af06`\n\nSource journal: `Research_Cycles/C0732_C0831/journal.json`", "journalDownload": "/sources/8ea2b882289fbcea5cf11177923617f0c1d1ad7e6eaa3bffb174c6f89699d97d.json", "evidenceLinks": [{"id": "d-aacfd29fd88f42ab", "title": "model/aligned_birth_divergence.json"}, {"id": "d-68301ab760bfbe2e", "title": "File 18"}]}