{"id": "c582", "title": "C582 — Reconstruct the macro component path", "filename": "C582.md", "role": "Research action", "step": 582, "sha256": "b85bde5c7b5f60a0ea85bba155cb4178ac4a315a06c5359126bd88a54ccefcac", "bytes": 1233, "origins": ["C480–C1634/Research_Cycles/C0532_C0631/journal.json#C582"], "download": "/sources/b85bde5c7b5f60a0ea85bba155cb4178ac4a315a06c5359126bd88a54ccefcac.md", "format": "md", "derived": true, "tags": ["Regular", "Cumulative"], "excerpt": "Does the source1200-year path preserve the ordered birth-law component vector?", "content": "# C582 — Reconstruct the macro component path\n\n## Question\n\nDoes the source1200-year path preserve the ordered birth-law component vector?\n\n## Inputs\n\n```json\n{\n  \"nodes\": [\n    2166,\n    2026,\n    1366,\n    1296,\n    966\n  ],\n  \"components\": [\n    14,\n    66,\n    7,\n    33\n  ],\n  \"scale\": 10\n}\n```\n\n## Sources\n\n```json\n[\n  \"File63 §4\"\n]\n```\n\n## Opened utc\n\n2026-09-28T00:19:41.409711+00:00\n\n## Results\n\n```json\n{\n  \"durations\": [\n    140,\n    660,\n    70,\n    330\n  ],\n  \"total\": 1200,\n  \"node_roles\": [\n    \"regular Abraham\",\n    \"regular Isaac marriage\",\n    \"regular Joshua death\",\n    \"cumulative Joshua endpoint\",\n    \"Temple cardinal foundation\"\n  ]\n}\n```\n\n## Finding\n\nThe mixed-role source path is exactly10×(14,66,7,33), retaining order as well as total1200. Its connection is a component projection; it does not equate regular and cumulative Joshua nodes.\n\n## Reassessment\n\nCompare its Exodus and Joshua hinges as repartitions of one total.\n\n## Checks\n\n```json\n{\n  \"vector\": true,\n  \"sum\": true\n}\n```\n\n## Closed utc\n\n2026-09-28T00:19:41.409990+00:00\n\n## Record provenance\n\nExact record hash: `9c4f9426e3086872cd45e8c18081dfeb2bbbaad8d866b2c79ddfb6c6bb2c76c4`\n\nSource journal: `Research_Cycles/C0532_C0631/journal.json`", "journalDownload": "/sources/7a2e1117efc741218b68e2db8bb20eadd33cab34e00384e9b903708031da1d2d.json", "evidenceLinks": [{"id": "d-180803601a2db301", "title": "File 63"}]}