{"id": "c1221", "title": "C1221 — Characterize source shifts that descend to rounded cells", "filename": "C1221.md", "role": "Research action", "step": 1221, "sha256": "909d70ef3435e55275ac6ff7434f2f60e87242d14b39ab44f9aa78eec2839acd", "bytes": 1168, "origins": ["C480–C1634/Research_Cycles/C1132_C1431_Recovered/journal.json#C1221"], "download": "/sources/909d70ef3435e55275ac6ff7434f2f60e87242d14b39ab44f9aa78eec2839acd.md", "format": "md", "derived": true, "tags": ["Rounded"], "excerpt": "When can the Rounded value alone determine the Rounded shifted value for every input?", "content": "# C1221 — Characterize source shifts that descend to rounded cells\n\n## Question\n\nWhen can the Rounded value alone determine the Rounded shifted value for every input?\n\n## Inputs\n\n```json\n{}\n```\n\n## Sources\n\n```json\n[\n  \"C1213\",\n  \"C1220\"\n]\n```\n\n## Opened utc\n\n2026-09-28T05:31:01.330411+00:00\n\n## Results\n\n```json\n{\n  \"criterion\": {\n    \"path\": \"model/rounded_cell_shift_criterion.json\",\n    \"sha256\": \"4c2cbdaadd6fd462334918a11e56c5bcae951522a91a8675add093e2ff9ebb15\",\n    \"bytes\": 1385\n  }\n}\n```\n\n## Finding\n\nOnly multiples of five act on all Rounded cells without residual information. The off-grid27 and−24 changes therefore need source residues; their successful finite examples do not define a universal rounded-only rule.\n\n## Reassessment\n\nConclude the second block’s local-to-Rounded bridge and begin the Strategy’s equal-gain source provenance.\n\n## Checks\n\n```json\n{\n  \"each_splits\": true,\n  \"same_initial_cell\": true\n}\n```\n\n## Closed utc\n\n2026-09-28T05:31:01.330840+00:00\n\n## Record provenance\n\nExact record hash: `84ad885f597b1b2aa40c7bf22a2d231f08c7756a1b7fb3b0eadd72b314f71e89`\n\nSource journal: `Research_Cycles/C1132_C1431_Recovered/journal.json`", "journalDownload": "/sources/6adb632ce171623c2bce60d7ed58ae319ccb379cf76b751c0a477c1742fd348c.json", "evidenceLinks": [{"id": "d-4c2cbdaadd6fd462", "title": "model/rounded_cell_shift_criterion.json"}]}