{"id": "c528", "title": "C528 — A dependency ledger for the combined explanation", "filename": "C528.md", "role": "Research action", "step": 528, "sha256": "47223ff02e76974c535e1508ae4922c6146120744fc9ec794b6c87063a0e5fdf", "bytes": 2856, "origins": ["C480–C1634/Research_Cycles/C0482_C0531/journal.json#C528"], "download": "/sources/47223ff02e76974c535e1508ae4922c6146120744fc9ec794b6c87063a0e5fdf.md", "format": "md", "derived": true, "tags": ["Cumulative", "Rounded", "Inverse", "Calendar Keys", "Mirror / 529"], "excerpt": "Which displays are generated together, and which require another source constraint?", "content": "# C528 — A dependency ledger for the combined explanation\n\n## Question\n\nWhich displays are generated together, and which require another source constraint?\n\n## Inputs\n\n```json\n{\n  \"scope\": \"completed families only; mathematical source constraints, not statistical independence\"\n}\n```\n\n## Sources\n\n```json\n[\n  \"Strategy §§5D,6\",\n  \"C482–C527\"\n]\n```\n\n## Opened utc\n\n2026-09-27T22:54:45.321759+00:00\n\n## Results\n\n```json\n{\n  \"dependency_families\": [\n    {\n      \"family\": \"manuscript mode differences\",\n      \"source_constraints\": \"ordered row changes, anchors, boundary conventions\",\n      \"generated\": \"LXX(+1380,+890);SP(+300,−608);weighted-point shifts\"\n    },\n    {\n      \"family\": \"rounded backbones\",\n      \"source_constraints\": \"declared MT partitions and1400 tail\",\n      \"generated\": \"12026 convergence,refinement defects,14726 continuation\"\n    },\n    {\n      \"family\": \"actual bridge\",\n      \"source_constraints\": \"row residuals+6;selected+2 convention;cumulative completion−2\",\n      \"generated\": \"same12026,9890 bridge,1:4 partitions\"\n    },\n    {\n      \"family\": \"actual Key field\",\n      \"source_constraints\": \"598 progression at14/15/16;Creation offset460;calendar ratios\",\n      \"generated\": \"600/650 progressions,Noah’s three integral results,2926 agreement\"\n    },\n    {\n      \"family\": \"529 linkage\",\n      \"source_constraints\": \"MT tenfold placement;independently supplied C480 pivots and forwarded widths\",\n      \"generated\": \"width ladders,scale commutation,pivot-residue successes/misses\"\n    },\n    {\n      \"family\": \"14726 members\",\n      \"source_constraints\": \"nine source inversions and one backbone\",\n      \"generated\": \"nine E outputs,1280 anchor shift,all transformed gap ratios\"\n    },\n    {\n      \"family\": \"Cainan junction\",\n      \"source_constraints\": \"restored companion2551/2421/2091 and inverse trio positions\",\n      \"generated\": \"330-width interface,1950 midpoint and equivalent3900 outer span\"\n    },\n    {\n      \"family\": \"Temple/Moses junction\",\n      \"source_constraints\": \"first526 convergence;matching920 gaps;Moses80 placement\",\n      \"generated\": \"476 agreement,1000+1000 reflected triple\"\n    }\n  ]\n}\n```\n\n## Finding\n\nThe main relations fall into eight connected evidence families. Each row states what is supplied and what follows. Repeated factorization, reflected displays and branch consequences add explanatory detail without becoming independent probability trials.\n\n## Reassessment\n\nCompare the candidate grammar’s explanatory reach with simpler alternatives and record the remaining source cost.\n\n## Checks\n\n```json\n{\n  \"families\": true,\n  \"inputs_retained\": true\n}\n```\n\n## Closed utc\n\n2026-09-27T22:54:45.322000+00:00\n\n## Record provenance\n\nExact record hash: `a2b234f4892d5eb4149d6914a0b7f28a0ca7de8b160d7cc8758699a495b40692`\n\nSource journal: `Research_Cycles/C0482_C0531/journal.json`", "journalDownload": "/sources/6eaeccad4734eff2f6ac20ba847967877b944f9758c53c712ac8b5be2ddf61eb.json"}