{"id": "c669", "title": "C669 — Explain every native1470 partition", "filename": "C669.md", "role": "Research action", "step": 669, "sha256": "11a839d0cf796e8bbd9ce5afb8a968ef24a253c9c1a72188d01bcd56234cdd34", "bytes": 1170, "origins": ["C480–C1634/Research_Cycles/C0632_C0731/journal.json#C669"], "download": "/sources/11a839d0cf796e8bbd9ce5afb8a968ef24a253c9c1a72188d01bcd56234cdd34.md", "format": "md", "derived": true, "tags": [], "excerpt": "Why do the source’s690+780 and720+750 measures agree?", "content": "# C669 — Explain every native1470 partition\n\n## Question\n\nWhy do the source’s690+780 and720+750 measures agree?\n\n## Inputs\n\n```json\n{\n  \"cell\": [\n    3606,\n    3576,\n    2886,\n    2856,\n    2166,\n    2136\n  ],\n  \"core\": 690,\n  \"flank\": 30\n}\n```\n\n## Sources\n\n```json\n[\n  \"Supplement A §§1.4–1.5,2.3\"\n]\n```\n\n## Opened utc\n\n2026-09-28T01:09:20.114961+00:00\n\n## Results\n\n```json\n{\n  \"total\": 1470,\n  \"partitions\": [\n    [\n      690,\n      780\n    ],\n    [\n      720,\n      750\n    ]\n  ],\n  \"flank_units\": 49,\n  \"center\": 2871,\n  \"central_rail_center\": 2871\n}\n```\n\n## Finding\n\nAll three1470 expressions reduce to2c+3f=49f. The six-node cell and its central30 rail share midpoint2871. These are decompositions of one supplied object, not independent appearances of1470.\n\n## Reassessment\n\nCompare the cell’s48+1 month anatomy with the supplied intercalation ledger.\n\n## Checks\n\n```json\n{\n  \"total\": true,\n  \"partitions\": true,\n  \"center\": true\n}\n```\n\n## Closed utc\n\n2026-09-28T01:09:20.115201+00:00\n\n## Record provenance\n\nExact record hash: `20f6d5b48f396e9af79d36e701509405ceaf30acfd6869ce31f401e8d8756404`\n\nSource journal: `Research_Cycles/C0632_C0731/journal.json`", "journalDownload": "/sources/f0643e934c6a7443706351fa40040684d915ed0ae25c0f9188a4c4dba12814ff.json"}