{"id": "c1026", "title": "C1026 — Multiplicity preserves a lost measure", "filename": "C1026.md", "role": "Research action", "step": 1026, "sha256": "57fa0e610fe1fa47808887587dafaa4252c137fd749c04202915b26801ee24e5", "bytes": 1098, "origins": ["C480–C1634/Research_Cycles/C0932_C1131/journal.json#C1026"], "download": "/sources/57fa0e610fe1fa47808887587dafaa4252c137fd749c04202915b26801ee24e5.md", "format": "md", "derived": true, "tags": [], "excerpt": "What source information restores the5|1|5 occurrence count?", "content": "# C1026 — Multiplicity preserves a lost measure\n\n## Question\n\nWhat source information restores the5|1|5 occurrence count?\n\n## Inputs\n\n```json\n{}\n```\n\n## Sources\n\n```json\n[\n  \"C1023–C1025\"\n]\n```\n\n## Opened utc\n\n2026-09-28T04:00:38.503095+00:00\n\n## Results\n\n```json\n{\n  \"section_weights\": [\n    1,\n    1,\n    1,\n    1,\n    1,\n    1,\n    1,\n    1,\n    2,\n    1\n  ],\n  \"weighted_arms\": [\n    5,\n    5\n  ],\n  \"total_occurrences\": 11,\n  \"limit\": \"measure restored; single-valued section reflection still absent\"\n}\n```\n\n## Finding\n\nRetaining section multiplicities preserves the occurrence count and its center. It does not make the obstructed reflection single-valued on unexpanded sections.\n\n## Reassessment\n\nIdentify the extra grouping a formal reflection-stable quotient would require.\n\n## Checks\n\n```json\n{\n  \"weights\": true,\n  \"equal_weighted_arms\": true,\n  \"count\": true\n}\n```\n\n## Closed utc\n\n2026-09-28T04:00:38.503408+00:00\n\n## Record provenance\n\nExact record hash: `39370453627c5c40cc769d7e4cc5a4ec3c3dd65dd8d0d1b6fbdfe06b388acd6b`\n\nSource journal: `Research_Cycles/C0932_C1131/journal.json`", "journalDownload": "/sources/f6bdc7aaaaa4fd40f1151b367204ddee7f0f9b77a9c43ae8764831b52d862670.json"}