{"id": "c1060", "title": "C1060 — Integral numerical coarsening of the four paths", "filename": "C1060.md", "role": "Research action", "step": 1060, "sha256": "0f4ed0d2eefce068f6e58fde0943488f5f220147adc065c36b13f727e91973f9", "bytes": 1286, "origins": ["C480–C1634/Research_Cycles/C0932_C1131/journal.json#C1060"], "download": "/sources/0f4ed0d2eefce068f6e58fde0943488f5f220147adc065c36b13f727e91973f9.md", "format": "md", "derived": true, "tags": ["Regular", "Cumulative", "Inverse"], "excerpt": "Which existing cuts survive if every converted block must be integral?", "content": "# C1060 — Integral numerical coarsening of the four paths\n\n## Question\n\nWhich existing cuts survive if every converted block must be integral?\n\n## Inputs\n\n```json\n{}\n```\n\n## Sources\n\n```json\n[\n  \"C1059\",\n  \"C993\"\n]\n```\n\n## Opened utc\n\n2026-09-28T04:09:19.266758+00:00\n\n## Results\n\n```json\n{\n  \"admissible_prefix_cuts\": {\n    \"regular_Flood\": [\n      3\n    ],\n    \"regular_Noah\": [\n      3\n    ],\n    \"regular_Flood_Noah\": [\n      4\n    ],\n    \"cumulative_primary\": [\n      3\n    ]\n  },\n  \"criterion\": \"With an integral held anchor, all cuts must have prefix sum divisible by23.\",\n  \"qualification\": \"Numerical coarsening only; source event boundaries remain in the retained record.\"\n}\n```\n\n## Finding\n\nOnly the final cut qualifies in every path. Uniform E still commutes with summation over rational values; the added integer-grid demand is what removes internal numerical cuts.\n\n## Reassessment\n\nCompare the two cumulative inverse branches under the same completed-path condition.\n\n## Checks\n\n```json\n{\n  \"whole_path_only\": true,\n  \"rational_additivity\": true\n}\n```\n\n## Closed utc\n\n2026-09-28T04:09:19.267192+00:00\n\n## Record provenance\n\nExact record hash: `3fc6349f5fbd3e702351feaf4846df66b5daab80153f4314d5d690d5851f2a45`\n\nSource journal: `Research_Cycles/C0932_C1131/journal.json`", "journalDownload": "/sources/f6bdc7aaaaa4fd40f1151b367204ddee7f0f9b77a9c43ae8764831b52d862670.json"}