{"id": "c852", "title": "C852 — Reconstruct all existing paired-anchor endpoints", "filename": "C852.md", "role": "Research action", "step": 852, "sha256": "6d5d986a9773d4074a9b125996803215cf80c54d689ce782af77a7ea68c5121b", "bytes": 1188, "origins": ["C480–C1634/Research_Cycles/C0832_C0931/journal.json#C852"], "download": "/sources/6d5d986a9773d4074a9b125996803215cf80c54d689ce782af77a7ea68c5121b.md", "format": "md", "derived": true, "tags": ["Inverse"], "excerpt": "Does a single digit-register operation recover every original File52c endpoint?", "content": "# C852 — Reconstruct all existing paired-anchor endpoints\n\n## Question\n\nDoes a single digit-register operation recover every original File52c endpoint?\n\n## Inputs\n\n```json\n{}\n```\n\n## Sources\n\n```json\n[\n  \"model/inverse_inputs.json; latest File52c existing manifest\"\n]\n```\n\n## Opened utc\n\n2026-09-28T02:36:06.051094+00:00\n\n## Results\n\n```json\n{\n  \"field\": {\n    \"path\": \"model/inverse_paired_field.json\",\n    \"sha256\": \"eea45a0802d05e2ada4ee33ae2685da893929e1995083b0df2ebcfa2f86f2ce9\",\n    \"bytes\": 19047\n  },\n  \"source_rows\": 32,\n  \"existing_endpoints\": 64,\n  \"scope\": \"original durations only; no target enumeration\"\n}\n```\n\n## Finding\n\nEvery existing endpoint is reproduced by one digit-position evaluation with its original zero-placeholders. The whole paired field is now available for explanation without adding source or target states.\n\n## Reassessment\n\nExpress anchor dependence as a gain field on original durations.\n\n## Checks\n\n```json\n{\n  \"all64\": true\n}\n```\n\n## Closed utc\n\n2026-09-28T02:36:06.052332+00:00\n\n## Record provenance\n\nExact record hash: `15880a253a001a59671f84ba3de75b9378de7087863ded67ad294eb3311942b5`\n\nSource journal: `Research_Cycles/C0832_C0931/journal.json`", "journalDownload": "/sources/6a37be4e218f9f467cbde5e9db3723ce9c79dc78cc97d1a289422b96cb9971e0.json", "evidenceLinks": [{"id": "d-eea45a0802d05e2a", "title": "model/inverse_paired_field.json"}, {"id": "d-dbcb35bf6cfe88b3", "title": "model/inverse_inputs.json"}, {"id": "file52c", "title": "File 52c"}]}