{"id": "c740", "title": "C740 — Recover LXX local changes from its boundary profile", "filename": "C740.md", "role": "Research action", "step": 740, "sha256": "06d66322becafa8574dd54cf6f84133e8b0db487f5f00ca180522e5c11df90ab", "bytes": 2072, "origins": ["C480–C1634/Research_Cycles/C0732_C0831/journal.json#C740"], "download": "/sources/06d66322becafa8574dd54cf6f84133e8b0db487f5f00ca180522e5c11df90ab.md", "format": "md", "derived": true, "tags": ["Regular", "Cumulative"], "excerpt": "Can adjacent differences identify the contributing rows and distinguish aninsertedrowfromalifespanchange?", "content": "# C740 — Recover LXX local changes from its boundary profile\n\n## Question\n\nCan adjacent differences identify the contributing rows and distinguish aninsertedrowfromalifespanchange?\n\n## Inputs\n\n```json\n{\n  \"shared_edge\": \"Arphaxad→Shelah spansLXXCainan2\",\n  \"profile\": \"LXXminusMT\"\n}\n```\n\n## Sources\n\n```json\n[\n  \"C739; File18 §§2,4,6D\"\n]\n```\n\n## Opened utc\n\n2026-09-28T01:44:27.830408+00:00\n\n## Results\n\n```json\n{\n  \"nonzero_edge_changes\": {\n    \"R\": {\n      \"Adam\": 100,\n      \"Seth\": 100,\n      \"Enosh\": 100,\n      \"Kenan\": 100,\n      \"Mahalalel\": 100,\n      \"Enoch\": 100,\n      \"Arphaxad\": 230,\n      \"Shelah\": 100,\n      \"Eber\": 100,\n      \"Peleg\": 100,\n      \"Reu\": 100,\n      \"Serug\": 100,\n      \"Nahor\": 50\n    },\n    \"C_lower\": {\n      \"Lamech\": -24,\n      \"Arphaxad\": 487,\n      \"Shelah\": 27,\n      \"Eber\": 40,\n      \"Peleg\": 100,\n      \"Reu\": 100,\n      \"Serug\": 100,\n      \"Nahor\": 60\n    },\n    \"G\": {\n      \"Adam\": -100,\n      \"Seth\": -100,\n      \"Enosh\": -100,\n      \"Kenan\": -100,\n      \"Mahalalel\": -100,\n      \"Enoch\": -100,\n      \"Lamech\": -24,\n      \"Arphaxad\": 257,\n      \"Shelah\": -73,\n      \"Eber\": -60,\n      \"Nahor\": 10\n    }\n  },\n  \"collapsed_Arphaxad_components\": {\n    \"regular\": [\n      100,\n      130\n    ],\n    \"cumulative\": [\n      27,\n      460\n    ],\n    \"bridge\": [\n      -73,\n      330\n    ]\n  }\n}\n```\n\n## Finding\n\nFinite differences recover the entireLXX change support. At the sharedArphaxad→Shelah edge, regular230 splits into100+130 and cumulative487 into27+460. KeepingCainan as a native row distinguishes insertion from the adjacent biography change; collapsing them would lose that explanation.\n\n## Reassessment\n\nRecover theSP support with its separateLamech completed-year correction.\n\n## Checks\n\n```json\n{\n  \"regular_edge\": true,\n  \"cumulative_edge\": true,\n  \"bridge_edge\": true,\n  \"Lamech\": true\n}\n```\n\n## Closed utc\n\n2026-09-28T01:44:27.830588+00:00\n\n## Record provenance\n\nExact record hash: `59fb0a0ff96c1a74ece3b0c733348845fd028c35e83a2781ffb1e574218a7092`\n\nSource journal: `Research_Cycles/C0732_C0831/journal.json`", "journalDownload": "/sources/8ea2b882289fbcea5cf11177923617f0c1d1ad7e6eaa3bffb174c6f89699d97d.json", "evidenceLinks": [{"id": "d-68301ab760bfbe2e", "title": "File 18"}]}