{"id": "c702", "title": "C702 — Recover the cumulative insertion pair-difference law", "filename": "C702.md", "role": "Research action", "step": 702, "sha256": "c1e77c8d225fb1b3cae07320aa8618df3ec7c10ce7cb73ddbfba68ed9a9be649", "bytes": 1294, "origins": ["C480–C1634/Research_Cycles/C0632_C0731/journal.json#C702"], "download": "/sources/c1e77c8d225fb1b3cae07320aa8618df3ec7c10ce7cb73ddbfba68ed9a9be649.md", "format": "md", "derived": true, "tags": ["Regular", "Cumulative", "Calendar Keys"], "excerpt": "What happens to the supplied460 cumulative Cainan increment under anchoredE?", "content": "# C702 — Recover the cumulative insertion pair-difference law\n\n## Question\n\nWhat happens to the supplied460 cumulative Cainan increment under anchoredE?\n\n## Inputs\n\n```json\n{\n  \"heads\": [\n    14006,\n    14466\n  ],\n  \"anchor\": 4346,\n  \"source_increment\": 460\n}\n```\n\n## Sources\n\n```json\n[\n  \"Supplement A §10; regular/cumulative role distinction\"\n]\n```\n\n## Opened utc\n\n2026-09-28T01:17:36.802589+00:00\n\n## Results\n\n```json\n{\n  \"input_radii\": [\n    9660,\n    10120\n  ],\n  \"output_radii\": [\n    10500,\n    11000\n  ],\n  \"generated_heads\": [\n    14846,\n    15346\n  ],\n  \"output_difference\": 500\n}\n```\n\n## Finding\n\nThe source cumulative increment460 becomes500 under E, producing the declared14846/15346 pair. This is the same affine pair-difference law operating on cumulative lifespans; it does not replace the regular Cainan130 used in the earlier calendar placement.\n\n## Reassessment\n\nSummarize the operator types now required before testing the fixed phase-reflection set.\n\n## Checks\n\n```json\n{\n  \"inputs\": true,\n  \"outputs\": true,\n  \"heads\": true,\n  \"difference\": true\n}\n```\n\n## Closed utc\n\n2026-09-28T01:17:36.803204+00:00\n\n## Record provenance\n\nExact record hash: `51b9dad939031da9b84f553cca5d9a0d88c262810938a74e7c12e041a61dee6f`\n\nSource journal: `Research_Cycles/C0632_C0731/journal.json`", "journalDownload": "/sources/f0643e934c6a7443706351fa40040684d915ed0ae25c0f9188a4c4dba12814ff.json"}