{"id": "c1061", "title": "C1061 — Two apparent branch checks are equivalent", "filename": "C1061.md", "role": "Research action", "step": 1061, "sha256": "197bcc62c3db88cfd200875838a03e61d979fc0e3d89d53e2f96feb896232b4a", "bytes": 1465, "origins": ["C480–C1634/Research_Cycles/C0932_C1131/journal.json#C1061"], "download": "/sources/197bcc62c3db88cfd200875838a03e61d979fc0e3d89d53e2f96feb896232b4a.md", "format": "md", "derived": true, "tags": ["Cumulative", "Inverse", "Calendar Keys"], "excerpt": "Do inverse convergence and integral E completion add independent constraints here?", "content": "# C1061 — Two apparent branch checks are equivalent\n\n## Question\n\nDo inverse convergence and integral E completion add independent constraints here?\n\n## Inputs\n\n```json\n{\n  \"derived_branches\": [\n    10620,\n    11610\n  ],\n  \"original_tail\": 1400\n}\n```\n\n## Sources\n\n```json\n[\n  \"C940\",\n  \"C952\",\n  \"C1059\"\n]\n```\n\n## Opened utc\n\n2026-09-28T04:09:56.889548+00:00\n\n## Results\n\n```json\n{\n  \"branches\": [\n    {\n      \"inverse_radius\": 10620,\n      \"completed\": 14720,\n      \"residue23\": 0,\n      \"E_image\": 16000,\n      \"converges\": true,\n      \"integral\": true\n    },\n    {\n      \"inverse_radius\": 11610,\n      \"completed\": 15710,\n      \"residue23\": 1,\n      \"E_image\": \"392750/23\",\n      \"converges\": false,\n      \"integral\": false\n    }\n  ],\n  \"branch_displacement_mod23\": 1,\n  \"scope\": \"equivalence only in the fixed two-branch register domain\"\n}\n```\n\n## Finding\n\nWith the same original tail retained, convergence and integral E completion select the same cumulative branch. They are equivalent checks within this domain, not independent confirmations.\n\n## Reassessment\n\nTransfer calendar calibration while retaining the source’s licensed E route.\n\n## Checks\n\n```json\n{\n  \"same_selector\": true,\n  \"tail_provenance\": true,\n  \"residues\": true\n}\n```\n\n## Closed utc\n\n2026-09-28T04:09:56.889853+00:00\n\n## Record provenance\n\nExact record hash: `d3521b308b747921aba4033fe2f18a1ccec317dd68608573b08bf0c008cf6a2a`\n\nSource journal: `Research_Cycles/C0932_C1131/journal.json`", "journalDownload": "/sources/f6bdc7aaaaa4fd40f1151b367204ddee7f0f9b77a9c43ae8764831b52d862670.json"}