{"id": "c696", "title": "C696 — Reconstruct the fixed directional Key matrix", "filename": "C696.md", "role": "Research action", "step": 696, "sha256": "cbe2448d3f1d87d3216f35db2748a5f3d584948a30e5c5244e555420db87e217", "bytes": 1468, "origins": ["C480–C1634/Research_Cycles/C0632_C0731/journal.json#C696"], "download": "/sources/cbe2448d3f1d87d3216f35db2748a5f3d584948a30e5c5244e555420db87e217.md", "format": "md", "derived": true, "tags": [], "excerpt": "Do all four source-declared anchored rows converge as stated?", "content": "# C696 — Reconstruct the fixed directional Key matrix\n\n## Question\n\nDo all four source-declared anchored rows converge as stated?\n\n## Inputs\n\n```json\n{\n  \"rows\": [\n    [\n      3626,\n      2936,\n      \"E\"\n    ],\n    [\n      3576,\n      2886,\n      \"P\"\n    ],\n    [\n      2216,\n      2906,\n      \"P\"\n    ],\n    [\n      2166,\n      2856,\n      \"E\"\n    ]\n  ],\n  \"scope\": \"fixed admitted comparison; no new SKL state\"\n}\n```\n\n## Sources\n\n```json\n[\n  \"Supplement A §§8.1–8.6\"\n]\n```\n\n## Opened utc\n\n2026-09-28T01:16:16.360246+00:00\n\n## Results\n\n```json\n{\n  \"declared_outputs\": [\n    2876,\n    2876,\n    2916,\n    2916\n  ],\n  \"swapped_key_diagnostic\": [\n    2926,\n    2826,\n    2966,\n    2866\n  ],\n  \"input_magnitudes\": [\n    690,\n    690,\n    690,\n    690\n  ]\n}\n```\n\n## Finding\n\nAll four admitted rows use magnitude690. The declared forward assignments meet at2876 and reverse assignments at2916; swapping Keys breaks each pairing. Direction and held anchor are essential parts of this bounded family, whose existing SKL comparison status is retained.\n\n## Reassessment\n\nExplain the50 offset algebraically instead of treating the convergences as separate matches.\n\n## Checks\n\n```json\n{\n  \"magnitudes\": true,\n  \"outputs\": true,\n  \"swaps_fail\": true\n}\n```\n\n## Closed utc\n\n2026-09-28T01:16:16.360628+00:00\n\n## Record provenance\n\nExact record hash: `bd5e02dac1b62d11898bfb606e06ad49466aaee3a48f6ce6673865badf15b1e7`\n\nSource journal: `Research_Cycles/C0632_C0731/journal.json`", "journalDownload": "/sources/f0643e934c6a7443706351fa40040684d915ed0ae25c0f9188a4c4dba12814ff.json"}