{"id": "c872", "title": "C872 — Freeze the complete operator-domain packet", "filename": "C872.md", "role": "Research action", "step": 872, "sha256": "1cb7ea9a6bf48e5309193100c55ffe7807bd7cf2a8bd298d3a615f2b48f84afc", "bytes": 1141, "origins": ["C480–C1634/Research_Cycles/C0832_C0931/journal.json#C872"], "download": "/sources/1cb7ea9a6bf48e5309193100c55ffe7807bd7cf2a8bd298d3a615f2b48f84afc.md", "format": "md", "derived": true, "tags": ["Rounded"], "excerpt": "Which grids and whole source fields will test the Keys?", "content": "# C872 — Freeze the complete operator-domain packet\n\n## Question\n\nWhich grids and whole source fields will test the Keys?\n\n## Inputs\n\n```json\n{}\n```\n\n## Sources\n\n```json\n[\n  \"Strategy §§5C,5E,5F\",\n  \"File12\",\n  \"File46\",\n  \"File51a\",\n  \"File63\"\n]\n```\n\n## Opened utc\n\n2026-09-28T02:46:25.774321+00:00\n\n## Results\n\n```json\n{\n  \"packet\": {\n    \"path\": \"model/operator_inputs.json\",\n    \"sha256\": \"fbed103853494c21cb6fa7e37ef4e47e21d9de8d9b4348cea817505001fff8e3\",\n    \"bytes\": 22303\n  },\n  \"sources\": 7,\n  \"quarter_rows\": 5\n}\n```\n\n## Finding\n\nThe finite test uses integer, Rounded five-year and exact quarter-year grids, the complete File46 head field and the complete File63 multiplier ladder. Formal diagnostic compositions remain distinguished from source-authorized routes.\n\n## Reassessment\n\nDerive the one-Key theorem for any declared lattice.\n\n## Checks\n\n```json\n{\n  \"sources\": true,\n  \"complete_quarter\": true\n}\n```\n\n## Closed utc\n\n2026-09-28T02:46:25.776653+00:00\n\n## Record provenance\n\nExact record hash: `7b811ef52b4747f297b8a68e6e9f1b78ee31de1484f8584bd52a570c27c696e9`\n\nSource journal: `Research_Cycles/C0832_C0931/journal.json`", "journalDownload": "/sources/6a37be4e218f9f467cbde5e9db3723ce9c79dc78cc97d1a289422b96cb9971e0.json", "evidenceLinks": [{"id": "d-fbed103853494c21", "title": "model/operator_inputs.json"}, {"id": "d-180803601a2db301", "title": "File 63"}, {"id": "d-9a1eff41920cd0f8", "title": "File 12"}, {"id": "d-d8aa38afb2a2df8f", "title": "File 51a"}, {"id": "d-18e8c54ff1663fb1", "title": "File 46"}]}