{"id": "c701", "title": "C701 — Recover the hinge’s two coefficient arms", "filename": "C701.md", "role": "Research action", "step": 701, "sha256": "b12b75911f4cf7a9e9ec3379a8c6e18a7d9d1fe27d7bd3374108e32906c593ba", "bytes": 1298, "origins": ["C480–C1634/Research_Cycles/C0632_C0731/journal.json#C701"], "download": "/sources/b12b75911f4cf7a9e9ec3379a8c6e18a7d9d1fe27d7bd3374108e32906c593ba.md", "format": "md", "derived": true, "tags": ["Cumulative"], "excerpt": "How do the admitted cumulative and projective arms fit around4346?", "content": "# C701 — Recover the hinge’s two coefficient arms\n\n## Question\n\nHow do the admitted cumulative and projective arms fit around4346?\n\n## Inputs\n\n```json\n{\n  \"upper_BC\": 14006,\n  \"hinge_BC\": 4346,\n  \"projective_AD\": 29465,\n  \"projective_status\": \"inherited comparison boundary\"\n}\n```\n\n## Sources\n\n```json\n[\n  \"Supplement A §§10.1–10.5\"\n]\n```\n\n## Opened utc\n\n2026-09-28T01:17:25.679962+00:00\n\n## Results\n\n```json\n{\n  \"arms\": [\n    9660,\n    33810\n  ],\n  \"69_units\": [\n    140,\n    490\n  ],\n  \"partition_4830_units\": [\n    2,\n    7\n  ],\n  \"fixed_projective_generated_heads\": [\n    4836,\n    7286\n  ],\n  \"whole\": 43470\n}\n```\n\n## Finding\n\nThe admitted4346 hinge divides the whole43470 civil span as9660|33810=69×(140|490), or2|7 in4830 units. With the supplied projective endpoint held, P/E generate4836/7286; those retain co-registration/generated roles and are not new primary anchors.\n\n## Reassessment\n\nTest the supplied cumulative Cainan pair within the same anchoredE family.\n\n## Checks\n\n```json\n{\n  \"arms\": true,\n  \"partition\": true,\n  \"heads\": true,\n  \"whole\": true\n}\n```\n\n## Closed utc\n\n2026-09-28T01:17:25.680285+00:00\n\n## Record provenance\n\nExact record hash: `64287a67d336772e40a02a1425dde203b926b49ae1390590e6626781c6839120`\n\nSource journal: `Research_Cycles/C0632_C0731/journal.json`", "journalDownload": "/sources/f0643e934c6a7443706351fa40040684d915ed0ae25c0f9188a4c4dba12814ff.json"}