{"paper":{"title":"Mosaic: Area-Closed Spherical Surface Mosaics Induced by Cartesian Grids","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.IM","authors_text":"Aubrie Kooiker, D. Heddle, H.F. Counts, Mihaela Dobrescu, Walter Pierce","submitted_at":"2026-05-14T13:56:43Z","abstract_excerpt":"We describe Mosaic, a computational geometry method for constructing the surface mosaic induced when a Cartesian volume grid intersects a spherical shell. The motivating application is conservative coupling between data produced on rectangular grids and diagnostics or boundary conditions defined on spherical surfaces, as occurs in space-weather, magnetohydrodynamic, atmospheric, and geophysical models. The method identifies Cartesian cells that intersect the shell, constructs cell-sphere prepatches, splices those regions by the spherical colatitude grid, and then splices by azimuth to produce "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.16422","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2605.16422/integrity.json","findings":[],"available":true,"detectors_run":[{"name":"claim_evidence","ran_at":"2026-05-19T19:41:56.554488Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"ai_meta_artifact","ran_at":"2026-05-19T19:34:36.587722Z","status":"skipped","version":"1.0.0","findings_count":0}],"snapshot_sha256":"aef575520d71ea38cb0ebcba65f48cfcadee20ea0abf25ea4d69761e1056a775"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}