{"id": "c706", "title": "C706 — Recover the fixed-set overlap inventory", "filename": "C706.md", "role": "Research action", "step": 706, "sha256": "430758bd41ad75f9969a2b18c05d825188b6a590b57f3f62a8830be122616bc9", "bytes": 1319, "origins": ["C480–C1634/Research_Cycles/C0632_C0731/journal.json#C706"], "download": "/sources/430758bd41ad75f9969a2b18c05d825188b6a590b57f3f62a8830be122616bc9.md", "format": "md", "derived": true, "tags": [], "excerpt": "Which of the source-listed cycle totals closes the whole declared field?", "content": "# C706 — Recover the fixed-set overlap inventory\n\n## Question\n\nWhich of the source-listed cycle totals closes the whole declared field?\n\n## Inputs\n\n```json\n{\n  \"cycle_totals\": [\n    5840,\n    5842,\n    5844,\n    5846\n  ],\n  \"fixed_field_center\": -2921\n}\n```\n\n## Sources\n\n```json\n[\n  \"Supplement A §13.3; C704–C705\"\n]\n```\n\n## Opened utc\n\n2026-09-28T01:18:51.229325+00:00\n\n## Results\n\n```json\n{\n  \"columns\": [\n    \"total\",\n    \"overlap\",\n    \"outside\"\n  ],\n  \"rows\": [\n    [\n      5840,\n      8,\n      4\n    ],\n    [\n      5842,\n      12,\n      0\n    ],\n    [\n      5844,\n      8,\n      4\n    ],\n    [\n      5846,\n      4,\n      8\n    ]\n  ],\n  \"fixed_source_set\": true\n}\n```\n\n## Finding\n\nThe complete fixed-set inventory is8/12/8/4 overlaps for5840/5842/5844/5846. Only5842 covers every node. Selected-route matches at other totals remain valid local comparisons but do not establish whole-field closure.\n\n## Reassessment\n\nDerive the conditional placement theorem from centers rather than searching more candidate dates.\n\n## Checks\n\n```json\n{\n  \"inventory\": true,\n  \"unique_listed_full\": true\n}\n```\n\n## Closed utc\n\n2026-09-28T01:18:51.229744+00:00\n\n## Record provenance\n\nExact record hash: `4423f316801b318a441eea5684f08048dcfccbdb184c7dfb6cfd040f5d51fc00`\n\nSource journal: `Research_Cycles/C0632_C0731/journal.json`", "journalDownload": "/sources/f0643e934c6a7443706351fa40040684d915ed0ae25c0f9188a4c4dba12814ff.json"}