{"id": "c767", "title": "C767 — Recover rounded bridge changes locally", "filename": "C767.md", "role": "Research action", "step": 767, "sha256": "74f7203a677b79c8a0705936c12bc6a1789f8221a55dbc1a9263bf24decfacf5", "bytes": 2875, "origins": ["C480–C1634/Research_Cycles/C0732_C0831/journal.json#C767"], "download": "/sources/74f7203a677b79c8a0705936c12bc6a1789f8221a55dbc1a9263bf24decfacf5.md", "format": "md", "derived": true, "tags": ["Regular", "Rounded", "Covenant"], "excerpt": "Do changes in adjacent bridge gaps equal row rounding differences?", "content": "# C767 — Recover rounded bridge changes locally\n\n## Question\n\nDo changes in adjacent bridge gaps equal row rounding differences?\n\n## Inputs\n\n```json\n{}\n```\n\n## Sources\n\n```json\n[\n  \"C766; File51a strict comparison\"\n]\n```\n\n## Opened utc\n\n2026-09-28T01:57:56.320400+00:00\n\n## Results\n\n```json\n{\n  \"local_changes\": [\n    {\n      \"name\": \"Adam\",\n      \"field_difference\": 0,\n      \"row_prediction\": 0\n    },\n    {\n      \"name\": \"Seth\",\n      \"field_difference\": -2,\n      \"row_prediction\": -2\n    },\n    {\n      \"name\": \"Enosh\",\n      \"field_difference\": 0,\n      \"row_prediction\": 0\n    },\n    {\n      \"name\": \"Kenan\",\n      \"field_difference\": 0,\n      \"row_prediction\": 0\n    },\n    {\n      \"name\": \"Mahalalel\",\n      \"field_difference\": 0,\n      \"row_prediction\": 0\n    },\n    {\n      \"name\": \"Jared\",\n      \"field_difference\": 0,\n      \"row_prediction\": 0\n    },\n    {\n      \"name\": \"Enoch\",\n      \"field_difference\": 0,\n      \"row_prediction\": 0\n    },\n    {\n      \"name\": \"Methuselah\",\n      \"field_difference\": 3,\n      \"row_prediction\": 3\n    },\n    {\n      \"name\": \"Lamech\",\n      \"field_difference\": 0,\n      \"row_prediction\": 0\n    },\n    {\n      \"name\": \"Noah\",\n      \"field_difference\": 0,\n      \"row_prediction\": 0\n    },\n    {\n      \"name\": \"Shem\",\n      \"field_difference\": 0,\n      \"row_prediction\": 0\n    },\n    {\n      \"name\": \"Arphaxad\",\n      \"field_difference\": 2,\n      \"row_prediction\": 2\n    },\n    {\n      \"name\": \"Shelah\",\n      \"field_difference\": 2,\n      \"row_prediction\": 2\n    },\n    {\n      \"name\": \"Eber\",\n      \"field_difference\": 0,\n      \"row_prediction\": 0\n    },\n    {\n      \"name\": \"Peleg\",\n      \"field_difference\": 1,\n      \"row_prediction\": 1\n    },\n    {\n      \"name\": \"Reu\",\n      \"field_difference\": 3,\n      \"row_prediction\": 3\n    },\n    {\n      \"name\": \"Serug\",\n      \"field_difference\": 0,\n      \"row_prediction\": 0\n    },\n    {\n      \"name\": \"Nahor\",\n      \"field_difference\": 1,\n      \"row_prediction\": 1\n    },\n    {\n      \"name\": \"Terah\",\n      \"field_difference\": 0,\n      \"row_prediction\": 0\n    },\n    {\n      \"name\": \"Abraham\",\n      \"field_difference\": 0,\n      \"row_prediction\": 0\n    },\n    {\n      \"name\": \"Isaac\",\n      \"field_difference\": 0,\n      \"row_prediction\": 0\n    }\n  ],\n  \"scope\": \"21 consecutive strict regular edges Adam→Jacob; Jacob/Joseph collateral is not continued to Levi\"\n}\n```\n\n## Finding\n\nThe rounded bridge itself is generated locally by e(L)−e(b). This joins source rows, mode choice, and rounding in one recurrence.\n\n## Reassessment\n\nTest direct rounding of date labels against the source-derived field.\n\n## Checks\n\n```json\n{\n  \"all_edges\": true,\n  \"count\": true\n}\n```\n\n## Closed utc\n\n2026-09-28T01:57:56.321299+00:00\n\n## Record provenance\n\nExact record hash: `60758d6eaf739575a49a25c177ecbcce4013e6784dc06d70ac8f4dcb7c158087`\n\nSource journal: `Research_Cycles/C0732_C0831/journal.json`", "journalDownload": "/sources/8ea2b882289fbcea5cf11177923617f0c1d1ad7e6eaa3bffb174c6f89699d97d.json", "evidenceLinks": [{"id": "d-d8aa38afb2a2df8f", "title": "File 51a"}]}