{"id": "c1609", "title": "C1609 — Recover the new refinement from source words", "filename": "C1609.md", "role": "Research action", "step": 1609, "sha256": "3f46421ea083ef6ed55d15a688244e77792d802057d04377639e1104235d5ebd", "bytes": 1098, "origins": ["C480–C1634/Research_Cycles/C1585_C1634/journal.json#C1609"], "download": "/sources/3f46421ea083ef6ed55d15a688244e77792d802057d04377639e1104235d5ebd.md", "format": "md", "derived": true, "tags": ["Regular", "Cumulative", "Inverse", "Mirror / 529"], "excerpt": "Do the5600 and2100 internal edges depend on choosing536 after the fact?", "content": "# C1609 — Recover the new refinement from source words\n\n## Question\n\nDo the5600 and2100 internal edges depend on choosing536 after the fact?\n\n## Sources\n\n```json\n[\n  \"lower_spine_map.json\",\n  \"Comparative_Study §§3.1,4.2,7.2\"\n]\n```\n\n## Opened utc\n\n2026-09-29T14:57:56.609571+00:00\n\n## Results\n\n```json\n{\n  \"LXX_Regular_inverse_sum\": 9030,\n  \"MT_Cumulative_inverse_lower\": 3430,\n  \"SP_Cumulative_inverse_lower\": 1330,\n  \"first_edge\": 5600,\n  \"middle_edge\": 2100,\n  \"last_edge\": 4900,\n  \"shared_completed_base\": 4106\n}\n```\n\n## Finding\n\nThey do not:5600=9030−3430 and2100=3430−1330, with the common4106 base canceling. Only the final4900 placement uses the appointed restoration target.\n\n## Reassessment\n\nThe source-derived path is ready for the already-authorized forward2700 transport; keep the operation distinct from a new mirror investigation.\n\n## Checks\n\n```json\n{}\n```\n\n## Closed utc\n\n2026-09-29T14:57:56.610413+00:00\n\n## Record provenance\n\nExact record hash: `fa19d60a6e13cc947bad0a9aa63e5e1670ba9aba0310035d8f38a7facaac9c8c`\n\nSource journal: `Research_Cycles/C1585_C1634/journal.json`", "journalDownload": "/sources/f14c0a7c2850e48750a0ea1779544db0428e79b64c4d6ae43137b5c361478239.json", "evidenceLinks": [{"id": "d-66984104f3ba8d37", "title": "lower_spine_map.json"}]}