{"id": "c1591", "title": "C1591 — Explain the SP2100 gap by its source and place values", "filename": "C1591.md", "role": "Research action", "step": 1591, "sha256": "aa6c9a9653f1add146456c6d95431535fc292da62a74f2c8f4376b65b203c5bb", "bytes": 1378, "origins": ["C480–C1634/Research_Cycles/C1585_C1634/journal.json#C1591"], "download": "/sources/aa6c9a9653f1add146456c6d95431535fc292da62a74f2c8f4376b65b203c5bb.md", "format": "md", "derived": true, "tags": ["Inverse"], "excerpt": "Can the change120→2100 be decomposed without choosing a restoration target?", "content": "# C1591 — Explain the SP2100 gap by its source and place values\n\n## Question\n\nCan the change120→2100 be decomposed without choosing a restoration target?\n\n## Sources\n\n```json\n[\n  \"lower_spine_map.json\",\n  \"File52c §1.1\"\n]\n```\n\n## Opened utc\n\n2026-09-29T14:54:39.431274+00:00\n\n## Results\n\n```json\n{\n  \"rule\": \"I(10(100h+10t+u))-10(100h+10t+u)=990(u-h), for this three-digit nonzero-end core register\",\n  \"rows\": [\n    {\n      \"MSS\": \"MT\",\n      \"core\": [\n        3,\n        4,\n        3\n      ],\n      \"inverse_minus_original\": 0\n    },\n    {\n      \"MSS\": \"LXX\",\n      \"core\": [\n        4,\n        3,\n        4\n      ],\n      \"inverse_minus_original\": 0\n    },\n    {\n      \"MSS\": \"SP\",\n      \"core\": [\n        3,\n        3,\n        1\n      ],\n      \"inverse_minus_original\": -1980\n    }\n  ],\n  \"MT_SP_inverse_gap_components\": [\n    120,\n    1980\n  ]\n}\n```\n\n## Finding\n\nSP first and last core digits differ by2, producing a1980 contraction. The inverse MT–SP separation is therefore120+1980=2100 before any536 comparison is made.\n\n## Reassessment\n\nUse that already-derived separation with the common2700 stage shift and Shem600.\n\n## Checks\n\n```json\n{}\n```\n\n## Closed utc\n\n2026-09-29T14:54:39.431753+00:00\n\n## Record provenance\n\nExact record hash: `202a66531a6e652eee3f555dd7f321228a5963c88784634e29ea7011f87397b8`\n\nSource journal: `Research_Cycles/C1585_C1634/journal.json`", "journalDownload": "/sources/f14c0a7c2850e48750a0ea1779544db0428e79b64c4d6ae43137b5c361478239.json", "evidenceLinks": [{"id": "d-66984104f3ba8d37", "title": "lower_spine_map.json"}, {"id": "file52c", "title": "File 52c"}]}