{"id": "c1301", "title": "C1301 — Register grouping and source-qualified reflection", "filename": "C1301.md", "role": "Research action", "step": 1301, "sha256": "56a95414ca578872088703a5fffef5b44bbb1746bcd0405f17abc6e8d45c7283", "bytes": 1130, "origins": ["C480–C1634/Research_Cycles/C1132_C1431_Recovered/journal.json#C1301"], "download": "/sources/56a95414ca578872088703a5fffef5b44bbb1746bcd0405f17abc6e8d45c7283.md", "format": "md", "derived": true, "tags": [], "excerpt": "When can acoarserrepresentation preserve ameasureorsymmetry?", "content": "# C1301 — Register grouping and source-qualified reflection\n\n## Question\n\nWhen can acoarserrepresentation preserve ameasureorsymmetry?\n\n## Inputs\n\n```json\n{}\n```\n\n## Sources\n\n```json\n[\n  \"C1300\",\n  \"inherited/model/toledot_quotient.json\",\n  \"C1009–C1029 inherited\"\n]\n```\n\n## Opened utc\n\n2026-09-28T06:09:05.694281+00:00\n\n## Results\n\n```json\n{\n  \"group_reflection\": {\n    \"path\": \"model/operations_group_and_reflect.json\",\n    \"sha256\": \"e544e9ff27d160fd1748095fbf88dbbc486a9c463725d99acc71e9833ca11448\",\n    \"bytes\": 1268\n  }\n}\n```\n\n## Finding\n\nGroupingpreservesaselectedmeasure whenitsweightsandmultiplicitiesarecarried. Reflectionrequiresadditionalcompatibilityofthesourcegrouping, explainingwhytheNT andToledot examplesdiffer.\n\n## Reassessment\n\nAssemble theoperationinventory andlink eachoperationtoitsretainedsourcepremises.\n\n## Checks\n\n```json\n{\n  \"two_ops\": true,\n  \"multiplicity\": true\n}\n```\n\n## Closed utc\n\n2026-09-28T06:09:05.694717+00:00\n\n## Record provenance\n\nExact record hash: `d46a7b25090a715b0561dae5a68340b81f909a783861446584e1e182af46ac2e`\n\nSource journal: `Research_Cycles/C1132_C1431_Recovered/journal.json`", "journalDownload": "/sources/6adb632ce171623c2bce60d7ed58ae319ccb379cf76b751c0a477c1742fd348c.json", "evidenceLinks": [{"id": "d-e544e9ff27d160fd", "title": "model/operations_group_and_reflect.json"}, {"id": "d-a6887ca0cf82c69f", "title": "inherited/model/toledot_quotient.json"}]}