{"id": "c879", "title": "C879 — Prove the whole-field integer obstruction", "filename": "C879.md", "role": "Research action", "step": 879, "sha256": "780a6321747c78ea0e34e3025388e5367b301b2442251c575a3a20bb55563aec", "bytes": 1172, "origins": ["C480–C1634/Research_Cycles/C0832_C0931/journal.json#C879"], "download": "/sources/780a6321747c78ea0e34e3025388e5367b301b2442251c575a3a20bb55563aec.md", "format": "md", "derived": true, "tags": [], "excerpt": "Can changing a common anchor put every image head on integer years?", "content": "# C879 — Prove the whole-field integer obstruction\n\n## Question\n\nCan changing a common anchor put every image head on integer years?\n\n## Inputs\n\n```json\n{}\n```\n\n## Sources\n\n```json\n[\n  \"File46 §6A.5\",\n  \"C878\"\n]\n```\n\n## Opened utc\n\n2026-09-28T02:48:04.557389+00:00\n\n## Results\n\n```json\n{\n  \"gaps\": [\n    430,\n    30,\n    430\n  ],\n  \"image_gaps\": [\n    \"10750/23\",\n    \"750/23\",\n    \"10750/23\"\n  ],\n  \"proof\": {\n    \"path\": \"model/File46_integer_obstruction.json\",\n    \"sha256\": \"5b51b11b5cdba7e6ceec0e04132f39ab96d0d32cbb46300872e0800f792cc495\",\n    \"bytes\": 441\n  }\n}\n```\n\n## Finding\n\nNo common anchor can make every File46 head integral: the transformed430 and30 gaps are nonintegral independently of anchor. Whole-field shape is preserved, while whole-grid membership fails.\n\n## Reassessment\n\nDerive the stagewise grid criterion for a fixed Key word.\n\n## Checks\n\n```json\n{\n  \"all_obstructions\": true,\n  \"anchor_free\": true,\n  \"specific\": true\n}\n```\n\n## Closed utc\n\n2026-09-28T02:48:04.558892+00:00\n\n## Record provenance\n\nExact record hash: `93a628c354602dee2c66addcd396b1af8846d82ec803458ef2fb951bbc2316e7`\n\nSource journal: `Research_Cycles/C0832_C0931/journal.json`", "journalDownload": "/sources/6a37be4e218f9f467cbde5e9db3723ce9c79dc78cc97d1a289422b96cb9971e0.json", "evidenceLinks": [{"id": "d-5b51b11b5cdba7e6", "title": "model/File46_integer_obstruction.json"}, {"id": "d-18e8c54ff1663fb1", "title": "File 46"}]}