{"id": "c783", "title": "C783 — Identify the cumulative restriction of the regular state cube", "filename": "C783.md", "role": "Research action", "step": 783, "sha256": "e915e778aaeb473944519201554f5a6c8485711100adf829a037d5b6205e3cc5", "bytes": 1361, "origins": ["C480–C1634/Research_Cycles/C0732_C0831/journal.json#C783"], "download": "/sources/e915e778aaeb473944519201554f5a6c8485711100adf829a037d5b6205e3cc5.md", "format": "md", "derived": true, "tags": ["Regular", "Cumulative"], "excerpt": "Must eight regular configurations produce eight different raw cumulative chains?", "content": "# C783 — Identify the cumulative restriction of the regular state cube\n\n## Question\n\nMust eight regular configurations produce eight different raw cumulative chains?\n\n## Inputs\n\n```json\n{}\n```\n\n## Sources\n\n```json\n[\n  \"File18 raw MT/LXX Terah and Cainan rules\"\n]\n```\n\n## Opened utc\n\n2026-09-28T02:02:14.359668+00:00\n\n## Results\n\n```json\n{\n  \"raw_MT_LXX_cumulative_classes\": {\n    \"0\": [\n      \"000\",\n      \"010\",\n      \"100\",\n      \"110\"\n    ],\n    \"1\": [\n      \"001\",\n      \"011\",\n      \"101\",\n      \"111\"\n    ]\n  },\n  \"forgotten_choices\": [\n    \"Sojourn regular placement\",\n    \"Terah life205-preserving repartition\"\n  ],\n  \"retained_choice\": \"Cainan lifespan460 insertion\",\n  \"SP_scope\": \"official145 retained; ideal205 is separately tagged\"\n}\n```\n\n## Finding\n\nFor the admitted raw MT/LXX lifespan projection, the eight regular labels collapse to two cumulative executions. Mode choice forgets some source-position data; it does not erase the source-state labels themselves.\n\n## Reassessment\n\nTest the complete residual vectors under all admitted matched configurations.\n\n## Checks\n\n```json\n{\n  \"four_per_class\": true,\n  \"two\": true\n}\n```\n\n## Closed utc\n\n2026-09-28T02:02:14.359908+00:00\n\n## Record provenance\n\nExact record hash: `6ae621d7ac0223937e82d374668740731791db44e59ad1dad709eb33cdcf8d43`\n\nSource journal: `Research_Cycles/C0732_C0831/journal.json`", "journalDownload": "/sources/8ea2b882289fbcea5cf11177923617f0c1d1ad7e6eaa3bffb174c6f89699d97d.json", "evidenceLinks": [{"id": "d-68301ab760bfbe2e", "title": "File 18"}]}