{"id": "c770", "title": "C770 — Identify a recoverable shared source object", "filename": "C770.md", "role": "Research action", "step": 770, "sha256": "17e8e4704347ce9405ba3344666848e74bc5404cf61c7b1b24c6fc669d529d5d", "bytes": 1240, "origins": ["C480–C1634/Research_Cycles/C0732_C0831/journal.json#C770"], "download": "/sources/17e8e4704347ce9405ba3344666848e74bc5404cf61c7b1b24c6fc669d529d5d.md", "format": "md", "derived": true, "tags": ["Rounded"], "excerpt": "What must accompany Rounded to preserve the original family?", "content": "# C770 — Identify a recoverable shared source object\n\n## Question\n\nWhat must accompany Rounded to preserve the original family?\n\n## Inputs\n\n```json\n{}\n```\n\n## Sources\n\n```json\n[\n  \"C754–769\"\n]\n```\n\n## Opened utc\n\n2026-09-28T01:58:40.489217+00:00\n\n## Results\n\n```json\n{\n  \"reconstruction\": \"Actual boundary = Rounded boundary − D; actual row = rounded row − e\",\n  \"affine_obstruction\": {\n    \"fixed_dates\": [\n      1406,\n      1526\n    ],\n    \"moved_date\": [\n      1663,\n      1661\n    ]\n  },\n  \"retained_data\": [\n    \"ordered source rows\",\n    \"typed path and terminal\",\n    \"mode selector\",\n    \"rounding residual field\"\n  ]\n}\n```\n\n## Finding\n\nRounded plus its residual field recovers Actual exactly. Rounded alone loses information; no one affine date map works, since two fixed dates force identity while Amram moves.\n\n## Reassessment\n\nIntegrate the 40-step checkpoint and move to finite variant configurations.\n\n## Checks\n\n```json\n{\n  \"all_reconstructed\": true,\n  \"two_fixed\": true,\n  \"nonidentity\": true\n}\n```\n\n## Closed utc\n\n2026-09-28T01:58:40.489528+00:00\n\n## Record provenance\n\nExact record hash: `ef5dcc23f56156470f8e22dfe0a204c11dad7e8b4e1b1f8fc182bf3345ba596e`\n\nSource journal: `Research_Cycles/C0732_C0831/journal.json`", "journalDownload": "/sources/8ea2b882289fbcea5cf11177923617f0c1d1ad7e6eaa3bffb174c6f89699d97d.json"}