{"id": "c782", "title": "C782 — Compare Cainan support across modes", "filename": "C782.md", "role": "Research action", "step": 782, "sha256": "c2c1802ae635eb22aebf0328f91340c99996dbc263ed9c389f3a8c326189d803", "bytes": 1036, "origins": ["C480–C1634/Research_Cycles/C0732_C0831/journal.json#C782"], "download": "/sources/c2c1802ae635eb22aebf0328f91340c99996dbc263ed9c389f3a8c326189d803.md", "format": "md", "derived": true, "tags": ["Regular", "Cumulative"], "excerpt": "Do regular130 and cumulative460 act on the same surviving rows?", "content": "# C782 — Compare Cainan support across modes\n\n## Question\n\nDo regular130 and cumulative460 act on the same surviving rows?\n\n## Inputs\n\n```json\n{}\n```\n\n## Sources\n\n```json\n[\n  \"File18 §1.6; C738,C775\"\n]\n```\n\n## Opened utc\n\n2026-09-28T02:02:04.352545+00:00\n\n## Results\n\n```json\n{\n  \"support_fields\": {\n    \"path\": \"model/Cainan_support_modes.json\",\n    \"sha256\": \"45dea3de086384345794270c68de649963f39290b90c0f57302f31f2e59f9e3f\",\n    \"bytes\": 5989\n  }\n}\n```\n\n## Finding\n\nCainan insertion has one upstream support and two mode weights. Its effect on the gap is330 on that prefix and0 downstream; the inserted node is represented separately.\n\n## Reassessment\n\nDetermine which regular state choices are forgotten by the raw lifespan projection.\n\n## Checks\n\n```json\n{\n  \"same_support\": true,\n  \"gap_identity\": true\n}\n```\n\n## Closed utc\n\n2026-09-28T02:02:04.353369+00:00\n\n## Record provenance\n\nExact record hash: `344c6792809ab1ba4f21c067070369564dcf61be9f58c5e9e45c4dc005f436b1`\n\nSource journal: `Research_Cycles/C0732_C0831/journal.json`", "journalDownload": "/sources/8ea2b882289fbcea5cf11177923617f0c1d1ad7e6eaa3bffb174c6f89699d97d.json", "evidenceLinks": [{"id": "d-45dea3de08638434", "title": "model/Cainan_support_modes.json"}, {"id": "d-68301ab760bfbe2e", "title": "File 18"}]}