{"id": "c1210", "title": "C1210 — Distinguish cap commutation from strict clipping visibility", "filename": "C1210.md", "role": "Research action", "step": 1210, "sha256": "2f8bf4de345a182e7f33108f214304572b173bea09e0e5945752c6537ce99dcd", "bytes": 1151, "origins": ["C480–C1634/Research_Cycles/C1132_C1431_Recovered/journal.json#C1210"], "download": "/sources/2f8bf4de345a182e7f33108f214304572b173bea09e0e5945752c6537ce99dcd.md", "format": "md", "derived": true, "tags": ["Rounded"], "excerpt": "Can exact clipping disappear after rounding, and can an unrounded cap change the result?", "content": "# C1210 — Distinguish cap commutation from strict clipping visibility\n\n## Question\n\nCan exact clipping disappear after rounding, and can an unrounded cap change the result?\n\n## Inputs\n\n```json\n{}\n```\n\n## Sources\n\n```json\n[\n  \"C1209\",\n  \"C1203\"\n]\n```\n\n## Opened utc\n\n2026-09-28T05:27:53.412297+00:00\n\n## Results\n\n```json\n{\n  \"witnesses\": {\n    \"path\": \"model/cap_round_visibility_witnesses.json\",\n    \"sha256\": \"9444cd743e2f3d518f91e21500c8d2c52c5d0ac6005ce952b1b6969fb8a4d77c\",\n    \"bytes\": 414\n  }\n}\n```\n\n## Finding\n\nA one-year excess can disappear inside a rounded cell. Separately, L14 and c11 yield10 when the cap is rounded consistently but11 when only the input is rounded. C1209’s12/11 example did not distinguish the routes; this one does.\n\n## Reassessment\n\nState the strict clipping criterion in terms of rounded-cell thresholds.\n\n## Checks\n\n```json\n{\n  \"hidden_strictness\": true,\n  \"distinguished\": true\n}\n```\n\n## Closed utc\n\n2026-09-28T05:27:53.412628+00:00\n\n## Record provenance\n\nExact record hash: `ffc58c8f773b31df16332527aec1f213641cd732cb8e3ac0e5f470cbef9ea419`\n\nSource journal: `Research_Cycles/C1132_C1431_Recovered/journal.json`", "journalDownload": "/sources/6adb632ce171623c2bce60d7ed58ae319ccb379cf76b751c0a477c1742fd348c.json", "evidenceLinks": [{"id": "d-9444cd743e2f3d51", "title": "model/cap_round_visibility_witnesses.json"}]}