{"id": "c1450", "title": "C1450 — Retain the complete named-node comparison", "filename": "C1450.md", "role": "Research action", "step": 1450, "sha256": "81d38f9898dcc4f8f64c3f97db5507d86cd44966dd07352bcec57efc4de31577", "bytes": 2513, "origins": ["C480–C1634/Research_Cycles/C1433_C1482/journal.json#C1450"], "download": "/sources/81d38f9898dcc4f8f64c3f97db5507d86cd44966dd07352bcec57efc4de31577.md", "format": "md", "derived": true, "tags": ["Regular", "Cumulative", "Rounded", "Inverse"], "excerpt": "What do the eighteen paths do to their internal600-year edge and source head?", "content": "# C1450 — Retain the complete named-node comparison\n\n## Question\n\nWhat do the eighteen paths do to their internal600-year edge and source head?\n\n## Sources\n\n```json\n[\n  \"Six partition comparisons\"\n]\n```\n\n## Opened utc\n\n2026-09-29T01:15:12.580542+00:00\n\n## Results\n\n```json\n{\n  \"MT_regular\": {\n    \"source_path\": [\n      1406,\n      2456,\n      3056,\n      4106\n    ],\n    \"inverse_path\": [\n      1406,\n      6416,\n      7016,\n      12026\n    ],\n    \"node_displacements\": [\n      0,\n      3960,\n      3960,\n      7920\n    ],\n    \"retained_edge\": 600\n  },\n  \"LXX_regular\": {\n    \"source_path\": [\n      1406,\n      3236,\n      3836,\n      5486\n    ],\n    \"inverse_path\": [\n      1406,\n      5216,\n      5816,\n      11426\n    ],\n    \"node_displacements\": [\n      0,\n      1980,\n      1980,\n      5940\n    ],\n    \"retained_edge\": 600\n  },\n  \"SP_regular\": {\n    \"source_path\": [\n      1406,\n      3106,\n      3706,\n      4406\n    ],\n    \"inverse_path\": [\n      1406,\n      8506,\n      9106,\n      9806\n    ],\n    \"node_displacements\": [\n      0,\n      5400,\n      5400,\n      5400\n    ],\n    \"retained_edge\": 600\n  },\n  \"MT_cumulative\": {\n    \"source_path\": [\n      1406,\n      4836,\n      5436,\n      14006\n    ],\n    \"inverse_path\": [\n      1406,\n      4836,\n      5436,\n      13016\n    ],\n    \"node_displacements\": [\n      0,\n      0,\n      0,\n      -990\n    ],\n    \"retained_edge\": 600\n  },\n  \"LXX_cumulative\": {\n    \"source_path\": [\n      1406,\n      5746,\n      6346,\n      14896\n    ],\n    \"inverse_path\": [\n      1406,\n      5746,\n      6346,\n      11926\n    ],\n    \"node_displacements\": [\n      0,\n      0,\n      0,\n      -2970\n    ],\n    \"retained_edge\": 600\n  },\n  \"SP_cumulative\": {\n    \"source_path\": [\n      1406,\n      4716,\n      5316,\n      13396\n    ],\n    \"inverse_path\": [\n      1406,\n      2736,\n      3336,\n      11416\n    ],\n    \"node_displacements\": [\n      0,\n      -1980,\n      -1980,\n      -1980\n    ],\n    \"retained_edge\": 600\n  }\n}\n```\n\n## Finding\n\nEvery refined path preserves the explicit600-year edge; its placement and the final head respond differently to the surrounding source digits.\n\n## Reassessment\n\nExplain the whole eighteen-path table using the two local merging defects.\n\n## Checks\n\n```json\n{\n  \"all_retained_edges600\": true,\n  \"eighteen_paths\": true\n}\n```\n\n## Closed utc\n\n2026-09-29T01:15:12.583635+00:00\n\n## Record provenance\n\nExact record hash: `f99589541a16796719ebfeff52567e10ea67962feb14970dc04f28c3744f0e96`\n\nSource journal: `Research_Cycles/C1433_C1482/journal.json`", "journalDownload": "/sources/ca542c4d870fa9b9292d3dd24718f08766a5353e1b27cbb1e7c0d69061b00ecf.json"}