{"id": "c1165", "title": "C1165 — Compress the SP-to-LXX lifespan edge by its disjoint supports", "filename": "C1165.md", "role": "Research action", "step": 1165, "sha256": "2b278b88e0789cf007a678350834b716585dcfba520265d42deb04879bd6abff", "bytes": 1218, "origins": ["C480–C1634/Research_Cycles/C1132_C1431_Recovered/journal.json#C1165"], "download": "/sources/2b278b88e0789cf007a678350834b716585dcfba520265d42deb04879bd6abff.md", "format": "md", "derived": true, "tags": ["Regular", "Cumulative"], "excerpt": "Which part of the three-tradition pattern is common to every final-edge row?", "content": "# C1165 — Compress the SP-to-LXX lifespan edge by its disjoint supports\n\n## Question\n\nWhich part of the three-tradition pattern is common to every final-edge row?\n\n## Inputs\n\n```json\n{}\n```\n\n## Sources\n\n```json\n[\n  \"C1164\",\n  \"C1154\"\n]\n```\n\n## Opened utc\n\n2026-09-28T05:08:32.228741+00:00\n\n## Results\n\n```json\n{\n  \"disjoint_life_pattern\": {\n    \"path\": \"model/SP_LXX_disjoint_life_pattern.json\",\n    \"sha256\": \"01a75dc646299050788ad3967c1ae427f21c540b567488b8b056b0edaedc0d64\",\n    \"bytes\": 865\n  },\n  \"rank\": 3,\n  \"source_total\": 574\n}\n```\n\n## Finding\n\nThe final lifespan edge is a disjoint4/2/2 pattern with amplitudes100,60,27. It explains a common regular birth path alongside a cumulative surplus574, with no need to assign a different birth transformation to each row.\n\n## Reassessment\n\nDetermine how the pattern propagates through the complete cumulative path rather than just its total.\n\n## Checks\n\n```json\n{\n  \"rank3\": true,\n  \"total574\": true,\n  \"nonnegative_values\": true\n}\n```\n\n## Closed utc\n\n2026-09-28T05:08:32.229945+00:00\n\n## Record provenance\n\nExact record hash: `77ef001a127d61cd306b0d7ff4aa0f34633290ff8f377b6ea073a66722e4846a`\n\nSource journal: `Research_Cycles/C1132_C1431_Recovered/journal.json`", "journalDownload": "/sources/6adb632ce171623c2bce60d7ed58ae319ccb379cf76b751c0a477c1742fd348c.json", "evidenceLinks": [{"id": "d-01a75dc646299050", "title": "model/SP_LXX_disjoint_life_pattern.json"}]}