{"id": "c756", "title": "C756 — Transfer the cumulative residual field to LXX", "filename": "C756.md", "role": "Research action", "step": 756, "sha256": "14be3283de59d773247c37812af336aa2b525ba0062f07ef73bd140793aadce5", "bytes": 1252, "origins": ["C480–C1634/Research_Cycles/C0732_C0831/journal.json#C756"], "download": "/sources/14be3283de59d773247c37812af336aa2b525ba0062f07ef73bd140793aadce5.md", "format": "md", "derived": true, "tags": ["Cumulative", "Rounded"], "excerpt": "Which changed rows explain every LXX-versus-MT rounding difference?", "content": "# C756 — Transfer the cumulative residual field to LXX\n\n## Question\n\nWhich changed rows explain every LXX-versus-MT rounding difference?\n\n## Inputs\n\n```json\n{}\n```\n\n## Sources\n\n```json\n[\n  \"File18 LXX main rows; File51a rounding rule\"\n]\n```\n\n## Opened utc\n\n2026-09-28T01:54:26.912804+00:00\n\n## Results\n\n```json\n{\n  \"fields\": {\n    \"path\": \"model/all_rounding_fields.json\",\n    \"sha256\": \"6ce58f06e5687e621578a52663a0d6f32b50d3b1cd1ad74ff2cc4225a359c6fe\",\n    \"bytes\": 7609\n  },\n  \"row_support\": {\n    \"Lamech\": 4,\n    \"Arphaxad\": -2,\n    \"Shelah\": -2\n  },\n  \"nonzero_boundary_differences\": {\n    \"Noah\": -4,\n    \"Shem\": -4,\n    \"Arphaxad\": -4,\n    \"Shelah\": -2\n  }\n}\n```\n\n## Finding\n\nThree LXX residual changes generate the complete comparison: Lamech+4, Arphaxad−2, Shelah−2. Their total cancels, but the Noah–Arphaxad plateau changes−4 and Shelah−2.\n\n## Reassessment\n\nTest SP support and explain its changed head residual.\n\n## Checks\n\n```json\n{\n  \"support\": true,\n  \"Cainan_zero\": true,\n  \"head_cancellation\": true\n}\n```\n\n## Closed utc\n\n2026-09-28T01:55:00.997945+00:00\n\n## Record provenance\n\nExact record hash: `95754f018c38b8c8d789bc6f0a9e99c8b51be630e86637c2c458e77284441cb6`\n\nSource journal: `Research_Cycles/C0732_C0831/journal.json`", "journalDownload": "/sources/8ea2b882289fbcea5cf11177923617f0c1d1ad7e6eaa3bffb174c6f89699d97d.json", "evidenceLinks": [{"id": "d-6ce58f06e5687e62", "title": "model/all_rounding_fields.json"}, {"id": "d-68301ab760bfbe2e", "title": "File 18"}, {"id": "d-d8aa38afb2a2df8f", "title": "File 51a"}]}