{"id": "c855", "title": "C855 — Explain every shortened-core branch", "filename": "C855.md", "role": "Research action", "step": 855, "sha256": "471dab946358f857256304f97405a3c9720e3d350a5fe01f998e5f3c0fdae27a", "bytes": 1151, "origins": ["C480–C1634/Research_Cycles/C0832_C0931/journal.json#C855"], "download": "/sources/471dab946358f857256304f97405a3c9720e3d350a5fe01f998e5f3c0fdae27a.md", "format": "md", "derived": true, "tags": ["Inverse"], "excerpt": "Which positional changes produce the later nonconstant paired differences?", "content": "# C855 — Explain every shortened-core branch\n\n## Question\n\nWhich positional changes produce the later nonconstant paired differences?\n\n## Inputs\n\n```json\n{}\n```\n\n## Sources\n\n```json\n[\n  \"C852–854\"\n]\n```\n\n## Opened utc\n\n2026-09-28T02:36:48.497198+00:00\n\n## Results\n\n```json\n{\n  \"branches\": {\n    \"path\": \"model/inverse_short_core_branches.json\",\n    \"sha256\": \"fb9e0311663e549bcb790b83c963c12b4f8c56b5a4c775d265f84df52f81b8c0\",\n    \"bytes\": 2122\n  },\n  \"formulas\": {\n    \"three_to_two\": \"1260+90a−90b−900c\",\n    \"three_to_one\": \"990−990c\"\n  }\n}\n```\n\n## Finding\n\nThe later variations follow core-length changes, which move the same digits into different place values. The nonlinear field therefore needs its digit register, not extra chronological corrections.\n\n## Reassessment\n\nResolve the two retained-zero source cases and complete the partition.\n\n## Checks\n\n```json\n{\n  \"all_shortened\": true,\n  \"both_changes\": true\n}\n```\n\n## Closed utc\n\n2026-09-28T02:36:48.497789+00:00\n\n## Record provenance\n\nExact record hash: `37ae274c72ed24200684fac0361a99f3156380afff072c9abb13fc917abf0de2`\n\nSource journal: `Research_Cycles/C0832_C0931/journal.json`", "journalDownload": "/sources/6a37be4e218f9f467cbde5e9db3723ce9c79dc78cc97d1a289422b96cb9971e0.json", "evidenceLinks": [{"id": "d-fb9e0311663e549b", "title": "model/inverse_short_core_branches.json"}]}