{"id": "c1553", "title": "C1553 — Connect LXX refinement to completion", "filename": "C1553.md", "role": "Research action", "step": 1553, "sha256": "1f77e136f44d9aea80e9836a3c0594a6b28371aa35aab938c556ace16ee552da", "bytes": 944, "origins": ["C480–C1634/Research_Cycles/C1483_C1582/c1483_c1582/journal.json#C1553"], "download": "/sources/1f77e136f44d9aea80e9836a3c0594a6b28371aa35aab938c556ace16ee552da.md", "format": "md", "derived": true, "tags": [], "excerpt": "Does the LXX full-refinement gain equal its original Nativity-stage change?", "content": "# C1553 — Connect LXX refinement to completion\n\n## Question\n\nDoes the LXX full-refinement gain equal its original Nativity-stage change?\n\n## Sources\n\n```json\n[]\n```\n\n## Opened utc\n\n2026-09-29T02:38:54.153489+00:00\n\n## Results\n\n```json\n{\n  \"refined_held_path\": [\n    1406,\n    5746,\n    6346,\n    6936,\n    13636\n  ],\n  \"primary_completed_path\": [\n    6,\n    4106,\n    8446,\n    13636\n  ],\n  \"refinement_gain\": 2700,\n  \"stage_gain\": 2700,\n  \"common_head\": 13636\n}\n```\n\n## Finding\n\nBoth routes reach13636: the LXX upper refinement gains2700, exactly matching4100−1400 from the Nativity extension.\n\n## Reassessment\n\nTest the same equality inMT andSP to identify the actual family scope.\n\n## Checks\n\n```json\n{}\n```\n\n## Closed utc\n\n2026-09-29T02:38:54.155427+00:00\n\n## Record provenance\n\nExact record hash: `a27f47359f0818467961b69c409c69f0c3e9f4b4f6c649d21aa6d70b5cdfba7f`\n\nSource journal: `Research_Cycles/C1483_C1582/c1483_c1582/journal.json`", "journalDownload": "/sources/7241bc8dee3ba293341214bcb88dc4f80832f7d0207eb9e07f9364c06d3847c8.json"}