{"id": "c1193", "title": "C1193 — Measure the gain from the second rounded component", "filename": "C1193.md", "role": "Research action", "step": 1193, "sha256": "5f9659a0dd08e787a3e87c83b896c4f4448975ba1680ce2f98601b939d3df2db", "bytes": 1124, "origins": ["C480–C1634/Research_Cycles/C1132_C1431_Recovered/journal.json#C1193"], "download": "/sources/5f9659a0dd08e787a3e87c83b896c4f4448975ba1680ce2f98601b939d3df2db.md", "format": "md", "derived": true, "tags": ["Rounded"], "excerpt": "How does a singleton arise from combining two individually ambiguous observations?", "content": "# C1193 — Measure the gain from the second rounded component\n\n## Question\n\nHow does a singleton arise from combining two individually ambiguous observations?\n\n## Inputs\n\n```json\n{}\n```\n\n## Sources\n\n```json\n[\n  \"C1192\"\n]\n```\n\n## Opened utc\n\n2026-09-28T05:23:40.362205+00:00\n\n## Results\n\n```json\n{\n  \"intersections\": {\n    \"path\": \"model/joint_rounding_singleton_intersections.json\",\n    \"sha256\": \"64be39ff48facb6d403eb3b77ed1258eb586e644ea46e6f4acc71aa1d8ad18ce\",\n    \"bytes\": 1372\n  },\n  \"rows\": 5\n}\n```\n\n## Finding\n\nEach singleton combines two five-choice observations whose candidate sets touch at one endpoint. The gain is genuine conditional information, although these current observations share the same source derivation.\n\n## Reassessment\n\nUse LXX Lamech to show a nearby non-singleton and preserve the main753 state.\n\n## Checks\n\n```json\n{\n  \"five_each\": true,\n  \"one_joint\": true\n}\n```\n\n## Closed utc\n\n2026-09-28T05:23:40.365407+00:00\n\n## Record provenance\n\nExact record hash: `b6a4ef059df0fc388dc265a913a2d54c0b63327031aa6e88fb128237c9977802`\n\nSource journal: `Research_Cycles/C1132_C1431_Recovered/journal.json`", "journalDownload": "/sources/6adb632ce171623c2bce60d7ed58ae319ccb379cf76b751c0a477c1742fd348c.json", "evidenceLinks": [{"id": "d-64be39ff48facb6d", "title": "model/joint_rounding_singleton_intersections.json"}]}