{"id": "c974", "title": "C974 — Local regular-to-cumulative response", "filename": "C974.md", "role": "Research action", "step": 974, "sha256": "bbb57981ccff4955a79686324e9c16b80a7dd066d564423b596bfa241cb76a3a", "bytes": 1447, "origins": ["C480–C1634/Research_Cycles/C0932_C1131/journal.json#C974"], "download": "/sources/bbb57981ccff4955a79686324e9c16b80a7dd066d564423b596bfa241cb76a3a.md", "format": "md", "derived": true, "tags": ["Regular", "Cumulative"], "excerpt": "What map transmits a begetting change through fixed active caps?", "content": "# C974 — Local regular-to-cumulative response\n\n## Question\n\nWhat map transmits a begetting change through fixed active caps?\n\n## Inputs\n\n```json\n{\n  \"active_indices\": [\n    5,\n    7,\n    8\n  ],\n  \"condition\": \"fixed Noah/Flood relation, baseline lives and active support\"\n}\n```\n\n## Sources\n\n```json\n[\n  \"C954\",\n  \"C956\",\n  \"C972\"\n]\n```\n\n## Opened utc\n\n2026-09-28T03:50:09.862441+00:00\n\n## Results\n\n```json\n{\n  \"matrices\": {\n    \"path\": \"model/sp_cap_response_matrices.json\",\n    \"sha256\": \"46a93aa1039bf6f918fa8511df197bc50256963e14539212d68c1522c2d3f709\",\n    \"bytes\": 2641\n  },\n  \"last_begetting_response_regular\": [\n    1,\n    1,\n    1,\n    1,\n    1,\n    1,\n    1,\n    1,\n    1\n  ],\n  \"last_begetting_response_cumulative\": [\n    3,\n    3,\n    3,\n    3,\n    3,\n    3,\n    2,\n    2,\n    1\n  ]\n}\n```\n\n## Finding\n\nWithin one active region, the maps are U, A·U, and U·A·U. A regular-row change can alter three capped lives and hence several cumulative coordinates; this is a sensitivity model, not an admitted variant.\n\n## Reassessment\n\nTest the local formula against a controlled one-unit perturbation.\n\n## Checks\n\n```json\n{\n  \"upper_rows_accumulate_three\": true,\n  \"last_row_one\": true,\n  \"masked_unchanged_rows\": true\n}\n```\n\n## Closed utc\n\n2026-09-28T03:50:09.863113+00:00\n\n## Record provenance\n\nExact record hash: `75189292abe14af86c0d373f69e84299bf326a8bf60139818d74e809a03d0482`\n\nSource journal: `Research_Cycles/C0932_C1131/journal.json`", "journalDownload": "/sources/f6bdc7aaaaa4fd40f1151b367204ddee7f0f9b77a9c43ae8764831b52d862670.json", "evidenceLinks": [{"id": "d-46a93aa1039bf6f9", "title": "model/sp_cap_response_matrices.json"}]}