{"id": "c610", "title": "C610 — Compare total evaluation with digit reversal", "filename": "C610.md", "role": "Research action", "step": 610, "sha256": "fba0ef69122a4fbf7d02ba89cbd65e2c7b5a39d0ac2926ad6b6c1a149e559d3f", "bytes": 1520, "origins": ["C480–C1634/Research_Cycles/C0532_C0631/journal.json#C610"], "download": "/sources/fba0ef69122a4fbf7d02ba89cbd65e2c7b5a39d0ac2926ad6b6c1a149e559d3f.md", "format": "md", "derived": true, "tags": ["Regular", "Cumulative", "Inverse", "Mirror / 529"], "excerpt": "Why must the grammar retain ordered component boundaries before inversion?", "content": "# C610 — Compare total evaluation with digit reversal\n\n## Question\n\nWhy must the grammar retain ordered component boundaries before inversion?\n\n## Inputs\n\n```json\n{\n  \"regular_path\": [\n    1650,\n    1050\n  ],\n  \"cumulative_path\": [\n    9170,\n    3430\n  ],\n  \"anchor\": 1406\n}\n```\n\n## Sources\n\n```json\n[\n  \"Latest File52c §3.3; C495; C609\"\n]\n```\n\n## Opened utc\n\n2026-09-28T00:28:41.029270+00:00\n\n## Results\n\n```json\n{\n  \"comparisons\": [\n    {\n      \"path\": [\n        1650,\n        1050\n      ],\n      \"component_inverse\": 10620,\n      \"whole_inverse\": 7200,\n      \"difference\": 3420,\n      \"endpoint\": 12026\n    },\n    {\n      \"path\": [\n        9170,\n        3430\n      ],\n      \"component_inverse\": 10620,\n      \"whole_inverse\": 62100,\n      \"difference\": -51480,\n      \"endpoint\": 12026\n    }\n  ]\n}\n```\n\n## Finding\n\nBoth admitted component paths reach12026, but reversing their totals gives different values. Unlike the linear Key evaluation, decimal inversion cannot be applied after forgetting the partition. This explains why the path layer is essential to the common grammar.\n\n## Reassessment\n\nResolve the3430 lower leg into its source cumulative anatomy without adding inverse breakpoints.\n\n## Checks\n\n```json\n{\n  \"shared_endpoint\": true,\n  \"nonadditive\": true,\n  \"single_pass_only\": true\n}\n```\n\n## Closed utc\n\n2026-09-28T00:28:41.029529+00:00\n\n## Record provenance\n\nExact record hash: `916353d545c988aca875619e59cfa2bb5d438e8c46ec7450f5070d01f8561989`\n\nSource journal: `Research_Cycles/C0532_C0631/journal.json`", "journalDownload": "/sources/7a2e1117efc741218b68e2db8bb20eadd33cab34e00384e9b903708031da1d2d.json", "evidenceLinks": [{"id": "file52c", "title": "File 52c"}]}