{"id": "c858", "title": "C858 — Integrate the decimal module by its retained register", "filename": "C858.md", "role": "Research action", "step": 858, "sha256": "cda1a36950e780eaa511e8643e759263cef8e25e09eecf04f8705e9dba9d5d97", "bytes": 1158, "origins": ["C480–C1634/Research_Cycles/C0832_C0931/journal.json#C858"], "download": "/sources/cda1a36950e780eaa511e8643e759263cef8e25e09eecf04f8705e9dba9d5d97.md", "format": "md", "derived": true, "tags": ["Rounded", "Inverse"], "excerpt": "How does one-pass reversal join the common grammar without becoming a chronology-wide affine operation?", "content": "# C858 — Integrate the decimal module by its retained register\n\n## Question\n\nHow does one-pass reversal join the common grammar without becoming a chronology-wide affine operation?\n\n## Inputs\n\n```json\n{}\n```\n\n## Sources\n\n```json\n[\n  \"C852–857; C831 rounding/path model\"\n]\n```\n\n## Opened utc\n\n2026-09-28T02:37:45.739658+00:00\n\n## Results\n\n```json\n{\n  \"module\": {\n    \"path\": \"model/inverse_module_summary.json\",\n    \"sha256\": \"bde0cd431d5efd716efd80d92de26b2cf52ba7dd2128c23d73168826f5c48c1f\",\n    \"bytes\": 494\n  }\n}\n```\n\n## Finding\n\nThe shared model needs a digit register for decimal evaluation just as it needs categories for list measurement. The complete gain field explains route dependence while leaving source selection and historical interpretation open.\n\n## Reassessment\n\nFreeze the complete NT indexed-display family and its comparison domains.\n\n## Checks\n\n```json\n{\n  \"no_universal_affine\": true,\n  \"source_limit\": true\n}\n```\n\n## Closed utc\n\n2026-09-28T02:37:45.740175+00:00\n\n## Record provenance\n\nExact record hash: `58ad46b488dbc147ea157bf2adedf4032d910233ca00ff5cd0e3d295239d9363`\n\nSource journal: `Research_Cycles/C0832_C0931/journal.json`", "journalDownload": "/sources/6a37be4e218f9f467cbde5e9db3723ce9c79dc78cc97d1a289422b96cb9971e0.json", "evidenceLinks": [{"id": "d-bde0cd431d5efd71", "title": "model/inverse_module_summary.json"}]}