{"id": "c746", "title": "C746 — Verify composition on the full shared genealogy", "filename": "C746.md", "role": "Research action", "step": 746, "sha256": "a0a318f9f3c1bdf6b796305ffe544e1f97a3925486fa78f209175634bcf634d2", "bytes": 2061, "origins": ["C480–C1634/Research_Cycles/C0732_C0831/journal.json#C746"], "download": "/sources/a0a318f9f3c1bdf6b796305ffe544e1f97a3925486fa78f209175634bcf634d2.md", "format": "md", "derived": true, "tags": [], "excerpt": "Do MT→SP→LXX comparisons compose node-by-node in both modes and the modebridge?", "content": "# C746 — Verify composition on the full shared genealogy\n\n## Question\n\nDo MT→SP→LXX comparisons compose node-by-node in both modes and the modebridge?\n\n## Inputs\n\n```json\n{\n  \"shared_nodes\": [\n    \"Adam\",\n    \"Seth\",\n    \"Enosh\",\n    \"Kenan\",\n    \"Mahalalel\",\n    \"Jared\",\n    \"Enoch\",\n    \"Methuselah\",\n    \"Lamech\",\n    \"Noah\",\n    \"Shem\",\n    \"Arphaxad\",\n    \"Shelah\",\n    \"Eber\",\n    \"Peleg\",\n    \"Reu\",\n    \"Serug\",\n    \"Nahor\",\n    \"Terah\",\n    \"Abraham\"\n  ],\n  \"modes\": [\n    \"R\",\n    \"C_lower\",\n    \"G\"\n  ],\n  \"excluded_from_shared_grid\": \"nativeLXX-onlyCainan retained in itsownpath\"\n}\n```\n\n## Sources\n\n```json\n[\n  \"C738–C745; Research Strategy §5D\"\n]\n```\n\n## Opened utc\n\n2026-09-28T01:46:35.742370+00:00\n\n## Results\n\n```json\n{\n  \"composition_residuals\": {\n    \"R\": [\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      0,\n      0,\n      0,\n      0,\n      0,\n      0,\n      0,\n      0\n    ],\n    \"C_lower\": [\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      0,\n      0,\n      0,\n      0,\n      0,\n      0,\n      0,\n      0\n    ],\n    \"G\": [\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      0,\n      0,\n      0,\n      0,\n      0,\n      0,\n      0,\n      0\n    ]\n  },\n  \"typed_comparisons\": 60\n}\n```\n\n## Finding\n\nAll60 typed shared-node comparisons compose exactly. This is consistency of a common source-coordinate representation, not independent confirmation from60matches. The native inserted row remains visible rather than being invented in the othertraditions.\n\n## Reassessment\n\nTest why matchingCreation totals alone cannot recover the ordered source structure.\n\n## Checks\n\n```json\n{\n  \"all_zero\": true,\n  \"coverage\": true\n}\n```\n\n## Closed utc\n\n2026-09-28T01:46:35.742596+00:00\n\n## Record provenance\n\nExact record hash: `6891f5aed69ba0035ea5911d4bd9075def94b214e1622ab960f61620c273baa6`\n\nSource journal: `Research_Cycles/C0732_C0831/journal.json`", "journalDownload": "/sources/8ea2b882289fbcea5cf11177923617f0c1d1ad7e6eaa3bffb174c6f89699d97d.json"}