{"id": "c723", "title": "C723 — Clarify the primary Rounded backbone continuation", "filename": "C723.md", "role": "Research action", "step": 723, "sha256": "c4006197ffa6cdb56ee12c9792e3a31a2d6c592d0d8a3a84510952652c6bcfd1", "bytes": 1502, "origins": ["C480–C1634/Research_Cycles/C0632_C0731/journal.json#C723"], "download": "/sources/c4006197ffa6cdb56ee12c9792e3a31a2d6c592d0d8a3a84510952652c6bcfd1.md", "format": "md", "derived": true, "tags": ["Rounded", "Inverse"], "excerpt": "How does the admitted1400 terminal leg continue the primary12026 backbone to14726?", "content": "# C723 — Clarify the primary Rounded backbone continuation\n\n## Question\n\nHow does the admitted1400 terminal leg continue the primary12026 backbone to14726?\n\n## Inputs\n\n```json\n{\n  \"primary_reversed_components\": [\n    [\n      5610,\n      5010\n    ],\n    [\n      7190,\n      3430\n    ]\n  ],\n  \"original_terminal_leg\": 1400,\n  \"anchors\": [\n    1406,\n    6\n  ],\n  \"separate_refinement\": 13016\n}\n```\n\n## Sources\n\n```json\n[\n  \"Latest File52c §3.4; integrated-draft math review\"\n]\n```\n\n## Opened utc\n\n2026-09-28T01:27:45.501348+00:00\n\n## Results\n\n```json\n{\n  \"single_pass_terminal_image\": 4100,\n  \"Nativity_endpoints\": [\n    14726,\n    14726\n  ],\n  \"net_change_from12026\": 2700,\n  \"explanation\": \"Anchor moves1406→6 while the new1400 source leg contributes its single-pass image4100; net+2700.\"\n}\n```\n\n## Finding\n\nThe14726 continuation belongs to the primary12026 backbone: changing the anchor subtracts1400 while the new reversed leg adds4100. The13016 refinement is a separate branch. This explicit calculation removes an ambiguous antecedent in the draft without introducing a second reversal.\n\n## Reassessment\n\nApply the final three clarity refinements and freeze the publication draft.\n\n## Checks\n\n```json\n{\n  \"single_pass\": true,\n  \"both_branches\": true,\n  \"net_shift\": true\n}\n```\n\n## Closed utc\n\n2026-09-28T01:27:45.501625+00:00\n\n## Record provenance\n\nExact record hash: `d6502cd8bdc093fcdbcbb4eeea721af4904a5f91d586a26aedc07f0742c4c667`\n\nSource journal: `Research_Cycles/C0632_C0731/journal.json`", "journalDownload": "/sources/f0643e934c6a7443706351fa40040684d915ed0ae25c0f9188a4c4dba12814ff.json", "evidenceLinks": [{"id": "file52c", "title": "File 52c"}]}