{"id": "c775", "title": "C775 — Generate all admitted common-row birth configurations", "filename": "C775.md", "role": "Research action", "step": 775, "sha256": "32b0038be365a6484767bc4a272823aa174eb9a1d62bbfe2aec4b7ba737a611c", "bytes": 1392, "origins": ["C480–C1634/Research_Cycles/C0732_C0831/journal.json#C775"], "download": "/sources/32b0038be365a6484767bc4a272823aa174eb9a1d62bbfe2aec4b7ba737a611c.md", "format": "md", "derived": true, "tags": ["Mirror / 529"], "excerpt": "Do the same support masks produce the three complete comparison families?", "content": "# C775 — Generate all admitted common-row birth configurations\n\n## Question\n\nDo the same support masks produce the three complete comparison families?\n\n## Inputs\n\n```json\n{}\n```\n\n## Sources\n\n```json\n[\n  \"C738 native Cainan/common430 field; C772–774\"\n]\n```\n\n## Opened utc\n\n2026-09-28T02:00:23.333947+00:00\n\n## Results\n\n```json\n{\n  \"configurations\": {\n    \"path\": \"model/finite_birth_configurations.json\",\n    \"sha256\": \"07d7a5fab5ff11110f3aaf177b82c3e529f129261e4bb8a35a8a23ac05885591\",\n    \"bytes\": 11074\n  },\n  \"placement_counts\": {\n    \"MT\": {\n      \"Adam\": 8,\n      \"Shelah\": 4,\n      \"Abraham\": 2\n    },\n    \"LXX\": {\n      \"Adam\": 8,\n      \"Shelah\": 4,\n      \"Abraham\": 2\n    },\n    \"SP\": {\n      \"Adam\": 8,\n      \"Shelah\": 4,\n      \"Abraham\": 2\n    }\n  },\n  \"SP_minimum_full_heads\": [\n    4199,\n    4414\n  ]\n}\n```\n\n## Finding\n\nEach tradition has eight admitted state labels, restricting to eight upstream, four middle, and two Abraham placements. Native SP215 and equalized full430 remain distinct selections.\n\n## Reassessment\n\nTest reversible finite switching and its direction-dependent increments.\n\n## Checks\n\n```json\n{\n  \"counts\": true,\n  \"SP_heads\": true\n}\n```\n\n## Closed utc\n\n2026-09-28T02:00:23.334870+00:00\n\n## Record provenance\n\nExact record hash: `c57212eebabe3db65a6ffd76fe88606a99a54a9b2e11d686107c3e2625f008c4`\n\nSource journal: `Research_Cycles/C0732_C0831/journal.json`", "journalDownload": "/sources/8ea2b882289fbcea5cf11177923617f0c1d1ad7e6eaa3bffb174c6f89699d97d.json", "evidenceLinks": [{"id": "d-07d7a5fab5ff1111", "title": "model/finite_birth_configurations.json"}]}