{"id": "c1368", "title": "C1368 — Write grouping and count compatibility", "filename": "C1368.md", "role": "Research action", "step": 1368, "sha256": "f52215fe793ba58b3029085a1eadbfd18d4078c7e991ce15b8398734b12dee08", "bytes": 1007, "origins": ["C480–C1634/Research_Cycles/C1132_C1431_Recovered/journal.json#C1368"], "download": "/sources/f52215fe793ba58b3029085a1eadbfd18d4078c7e991ce15b8398734b12dee08.md", "format": "md", "derived": true, "tags": [], "excerpt": "When does grouping retain a symmetry as well as a total?", "content": "# C1368 — Write grouping and count compatibility\n\n## Question\n\nWhen does grouping retain a symmetry as well as a total?\n\n## Inputs\n\n```json\n{}\n```\n\n## Sources\n\n```json\n[\n  \"C1009–C1029\",\n  \"C1266–C1272\",\n  \"C1309\"\n]\n```\n\n## Opened utc\n\n2026-09-28T06:37:18.780918+00:00\n\n## Results\n\n```json\n{\n  \"artifact\": {\n    \"path\": \"draft/technical_07_counts.md\",\n    \"sha256\": \"e6fbc38d872893799d3500dfa1a8f3ed9cbeef94b9d0aa7550f10925aeef0d35\",\n    \"bytes\": 1963\n  },\n  \"words\": 279\n}\n```\n\n## Finding\n\nThe count supplement states the exact grouping criterion and explains why preserving multiplicity does not automatically preserve reflection.\n\n## Reassessment\n\nWrite a compact source-state reference table.\n\n## Checks\n\n```json\n{\n  \"nonempty\": true,\n  \"reflection_witness\": true\n}\n```\n\n## Closed utc\n\n2026-09-28T06:37:18.781447+00:00\n\n## Record provenance\n\nExact record hash: `2872c912eb7494bb1991676b3b73e3f1427f6b5e9d68ec99d30ed2fcd8eeaa97`\n\nSource journal: `Research_Cycles/C1132_C1431_Recovered/journal.json`", "journalDownload": "/sources/6adb632ce171623c2bce60d7ed58ae319ccb379cf76b751c0a477c1742fd348c.json", "evidenceLinks": [{"id": "d-e6fbc38d87289379", "title": "draft/technical_07_counts.md"}]}