{"id": "c997", "title": "C997 — Recovered magnitudes versus retained roles", "filename": "C997.md", "role": "Research action", "step": 997, "sha256": "cd02b3ebc965bc1a715ed50b913c08aa6326ca5cf66acf7d575a81768ea24a66", "bytes": 1089, "origins": ["C480–C1634/Research_Cycles/C0932_C1131/journal.json#C997"], "download": "/sources/cd02b3ebc965bc1a715ed50b913c08aa6326ca5cf66acf7d575a81768ea24a66.md", "format": "md", "derived": true, "tags": ["Inverse"], "excerpt": "Does recovering two numerical components identify their chronological realization?", "content": "# C997 — Recovered magnitudes versus retained roles\n\n## Question\n\nDoes recovering two numerical components identify their chronological realization?\n\n## Inputs\n\n```json\n{}\n```\n\n## Sources\n\n```json\n[\n  \"C994\",\n  \"C996\"\n]\n```\n\n## Opened utc\n\n2026-09-28T03:54:34.573243+00:00\n\n## Results\n\n```json\n{\n  \"numerically_recovered\": [\n    \"converted magnitude u\",\n    \"retained magnitude v\"\n  ],\n  \"not_recovered\": [\n    \"order along the path\",\n    \"which named interval is converted\",\n    \"absolute anchor\",\n    \"permission to use the route\"\n  ]\n}\n```\n\n## Finding\n\nA measurement inverse recovers magnitudes, not source identities, order or placement. The compact algebra must carry those tags alongside its numbers.\n\n## Reassessment\n\nDerive the fixed-pivot integer-domain theorem for two staged Keys.\n\n## Checks\n\n```json\n{\n  \"two_magnitudes\": true,\n  \"required_tags\": true\n}\n```\n\n## Closed utc\n\n2026-09-28T03:54:34.573532+00:00\n\n## Record provenance\n\nExact record hash: `7d7abe1f3b751463c3d9a696801ca28e47c9910ac78b4851c97d2c524040e197`\n\nSource journal: `Research_Cycles/C0932_C1131/journal.json`", "journalDownload": "/sources/f6bdc7aaaaa4fd40f1151b367204ddee7f0f9b77a9c43ae8764831b52d862670.json"}