{"id": "c1297", "title": "C1297 — Register the cap and count-rounding operations", "filename": "C1297.md", "role": "Research action", "step": 1297, "sha256": "db35af4432511e3d3abf3339fb501955bf1d0b6259b3126388094d0483439fc0", "bytes": 1063, "origins": ["C480–C1634/Research_Cycles/C1132_C1431_Recovered/journal.json#C1297"], "download": "/sources/db35af4432511e3d3abf3339fb501955bf1d0b6259b3126388094d0483439fc0.md", "format": "md", "derived": true, "tags": ["Rounded"], "excerpt": "How do theirforwardrules andinformationloss differ?", "content": "# C1297 — Register the cap and count-rounding operations\n\n## Question\n\nHow do theirforwardrules andinformationloss differ?\n\n## Inputs\n\n```json\n{}\n```\n\n## Sources\n\n```json\n[\n  \"C1296\",\n  \"C1202–C1212\",\n  \"C1277–C1278\"\n]\n```\n\n## Opened utc\n\n2026-09-28T06:08:57.770247+00:00\n\n## Results\n\n```json\n{\n  \"cap_round_operations\": {\n    \"path\": \"model/operations_cap_and_round.json\",\n    \"sha256\": \"7283fef390fea970c5f46796435bcb3ca98ae84d8b6a149a0ffb60fe06563008\",\n    \"bytes\": 1166\n  }\n}\n```\n\n## Finding\n\nTheinventorydistinguishes clippingawayexcess from forgettingaroundingresidual. Theirforwardcompatibility requiresconsistentlyresolvedcountsonbothroutes.\n\n## Reassessment\n\nRegisterlosslessRounded-residualtranslation withoutmistakingitforinformationcompression.\n\n## Checks\n\n```json\n{\n  \"two_ops\": true,\n  \"distinct_losses\": true\n}\n```\n\n## Closed utc\n\n2026-09-28T06:08:57.770648+00:00\n\n## Record provenance\n\nExact record hash: `aa1234eb63207943bc34596d5fd9260670fa9977d2836d907e9986284b8920d6`\n\nSource journal: `Research_Cycles/C1132_C1431_Recovered/journal.json`", "journalDownload": "/sources/6adb632ce171623c2bce60d7ed58ae319ccb379cf76b751c0a477c1742fd348c.json", "evidenceLinks": [{"id": "d-7283fef390fea970", "title": "model/operations_cap_and_round.json"}]}