{"id": "c1607", "title": "C1607 — Explain two large-span partitions as coarsenings of one path", "filename": "C1607.md", "role": "Research action", "step": 1607, "sha256": "323e549976cbc1894767be96b135647e07f165782c7b03e76d6c4ff1a3d401df", "bytes": 1086, "origins": ["C480–C1634/Research_Cycles/C1585_C1634/journal.json#C1607"], "download": "/sources/323e549976cbc1894767be96b135647e07f165782c7b03e76d6c4ff1a3d401df.md", "format": "md", "derived": true, "tags": ["Inverse"], "excerpt": "Are7700+4900 and5600+7000 separate structures, or do they share a named common refinement?", "content": "# C1607 — Explain two large-span partitions as coarsenings of one path\n\n## Question\n\nAre7700+4900 and5600+7000 separate structures, or do they share a named common refinement?\n\n## Sources\n\n```json\n[\n  \"three_MSS_12600_path.json\",\n  \"C1488–C1492 shared7700 edge\"\n]\n```\n\n## Opened utc\n\n2026-09-29T14:57:56.594205+00:00\n\n## Results\n\n```json\n{\n  \"finest\": [\n    5600,\n    2100,\n    4900\n  ],\n  \"Shem_SP_cut\": [\n    7700,\n    4900\n  ],\n  \"MT_Flood_cut\": [\n    5600,\n    7000\n  ],\n  \"whole\": 12600,\n  \"identities\": [\n    \"7700=5600+2100\",\n    \"7000=2100+4900\",\n    \"12600=7700+4900=5600+7000\"\n  ]\n}\n```\n\n## Finding\n\nBoth follow from the same5600|2100|4900 path. Keeping the SP cut gives7700+4900; keeping the MT cut gives5600+7000.\n\n## Reassessment\n\nIdentify the common unit for this selected path without claiming every spine node lies on it.\n\n## Checks\n\n```json\n{}\n```\n\n## Closed utc\n\n2026-09-29T14:57:56.594649+00:00\n\n## Record provenance\n\nExact record hash: `0173bc26ef6159538e2ec8fa158e408608faae7f641c2cd915cce5c7cfe7a5de`\n\nSource journal: `Research_Cycles/C1585_C1634/journal.json`", "journalDownload": "/sources/f14c0a7c2850e48750a0ea1779544db0428e79b64c4d6ae43137b5c361478239.json", "evidenceLinks": [{"id": "d-04d75869a5fe10f3", "title": "three_MSS_12600_path.json"}]}