{"id": "c496", "title": "C496 — Refinement defects", "filename": "C496.md", "role": "Research action", "step": 496, "sha256": "97806c03ae3c7f631d55be5baa65dc9e7835902654d0ff78e3c881be0c9e1209", "bytes": 1418, "origins": ["C480–C1634/Research_Cycles/C0482_C0531/journal.json#C496"], "download": "/sources/97806c03ae3c7f631d55be5baa65dc9e7835902654d0ff78e3c881be0c9e1209.md", "format": "md", "derived": true, "tags": ["Regular", "Cumulative"], "excerpt": "When do documented refinements preserve the reversed path value?", "content": "# C496 — Refinement defects\n\n## Question\n\nWhen do documented refinements preserve the reversed path value?\n\n## Inputs\n\n```json\n{\n  \"MT_regular_Noah\": [\n    1650,\n    [\n      1050,\n      600\n    ]\n  ],\n  \"MT_cumulative_Shem\": [\n    9170,\n    [\n      8570,\n      600\n    ]\n  ],\n  \"MT_cumulative_Noah\": [\n    9170,\n    [\n      7620,\n      1550\n    ]\n  ],\n  \"LXX_regular_Noah\": [\n    2250,\n    [\n      1650,\n      600\n    ]\n  ]\n}\n```\n\n## Sources\n\n```json\n[\n  \"File52c §3.3\",\n  \"C489\"\n]\n```\n\n## Opened utc\n\n2026-09-27T22:42:34.936653+00:00\n\n## Results\n\n```json\n{\n  \"defects\": {\n    \"MT_regular_Noah\": 0,\n    \"MT_cumulative_Shem\": 990,\n    \"MT_cumulative_Noah\": 990,\n    \"LXX_regular_Noah\": 990\n  },\n  \"definition\": \"delta_refinement=sum I(parts)-I(sum parts)\"\n}\n```\n\n## Finding\n\nThe MT regular refinement has defect0; both cumulative refinements and the LXX regular refinement have defect990. Thus12026 versus13016 and10436 versus11426 are outcomes of the same path rule, not separate arbitrary anchors.\n\n## Reassessment\n\nTest whether appending the documented Conquest-to-Nativity leg gives a uniform backbone continuation.\n\n## Checks\n\n```json\n{\n  \"raw_lengths_preserved\": true,\n  \"defects\": true\n}\n```\n\n## Closed utc\n\n2026-09-27T22:42:34.936928+00:00\n\n## Record provenance\n\nExact record hash: `3bc4c41817c5a53cc1f35b997be3e74536789539edd1e7d6c9897faab3af971a`\n\nSource journal: `Research_Cycles/C0482_C0531/journal.json`", "journalDownload": "/sources/6eaeccad4734eff2f6ac20ba847967877b944f9758c53c712ac8b5be2ddf61eb.json", "evidenceLinks": [{"id": "file52c", "title": "File 52c"}]}