{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:3PIF6HLL4RV7LWESMG74STSNTS","short_pith_number":"pith:3PIF6HLL","schema_version":"1.0","canonical_sha256":"dbd05f1d6be46bf5d89261bfc94e4d9ca9c90569a0fdf1a2eaff451dbd7a7543","source":{"kind":"arxiv","id":"1301.3794","version":1},"attestation_state":"computed","paper":{"title":"A fast multigrid-based electromagnetic eigensolver for curved metal boundaries on the Yee mesh","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.comp-ph","authors_text":"Carl A. Bauer, Gregory R. Werner, John R. Cary","submitted_at":"2013-01-16T19:25:33Z","abstract_excerpt":"For embedded boundary electromagnetics using the Dey-Mittra algorithm, a special grad-div matrix constructed in this work allows use of multigrid methods for efficient inversion of Maxwell's curl-curl matrix. Efficient curl-curl inversions are demonstrated within a shift-and-invert Krylov-subspace eigensolver (open-sourced at https://github.com/bauerca/maxwell) on the spherical cavity and the 9-cell TESLA superconducting accelerator cavity. The accuracy of the Dey-Mittra algorithm is also examined: frequencies converge with second-order error, and surface fields are found to converge with near"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1301.3794","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2013-01-16T19:25:33Z","cross_cats_sorted":[],"title_canon_sha256":"419883284a45b7502c55fbe0c43928ad2def4da0f0260d1d7ab7ef9dbf0aa4d4","abstract_canon_sha256":"67ff06d9eaafeeb535dee774452fbe40abc71cc77d8fbeb540c7570e305af2c0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:48:17.871918Z","signature_b64":"+nJYCo1d0SRi36PQ3+9VnSkuV8UrBAG3qzV91Ee8GZsjCuAJIokIZRhNBWcN1KDRy/Qj+/ir0wNS+E8t0nB6Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"dbd05f1d6be46bf5d89261bfc94e4d9ca9c90569a0fdf1a2eaff451dbd7a7543","last_reissued_at":"2026-05-18T02:48:17.871459Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:48:17.871459Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A fast multigrid-based electromagnetic eigensolver for curved metal boundaries on the Yee mesh","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.comp-ph","authors_text":"Carl A. Bauer, Gregory R. Werner, John R. Cary","submitted_at":"2013-01-16T19:25:33Z","abstract_excerpt":"For embedded boundary electromagnetics using the Dey-Mittra algorithm, a special grad-div matrix constructed in this work allows use of multigrid methods for efficient inversion of Maxwell's curl-curl matrix. Efficient curl-curl inversions are demonstrated within a shift-and-invert Krylov-subspace eigensolver (open-sourced at https://github.com/bauerca/maxwell) on the spherical cavity and the 9-cell TESLA superconducting accelerator cavity. The accuracy of the Dey-Mittra algorithm is also examined: frequencies converge with second-order error, and surface fields are found to converge with near"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.3794","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":""},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1301.3794","created_at":"2026-05-18T02:48:17.871536+00:00"},{"alias_kind":"arxiv_version","alias_value":"1301.3794v1","created_at":"2026-05-18T02:48:17.871536+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.3794","created_at":"2026-05-18T02:48:17.871536+00:00"},{"alias_kind":"pith_short_12","alias_value":"3PIF6HLL4RV7","created_at":"2026-05-18T12:27:32.513160+00:00"},{"alias_kind":"pith_short_16","alias_value":"3PIF6HLL4RV7LWES","created_at":"2026-05-18T12:27:32.513160+00:00"},{"alias_kind":"pith_short_8","alias_value":"3PIF6HLL","created_at":"2026-05-18T12:27:32.513160+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/3PIF6HLL4RV7LWESMG74STSNTS","json":"https://pith.science/pith/3PIF6HLL4RV7LWESMG74STSNTS.json","graph_json":"https://pith.science/api/pith-number/3PIF6HLL4RV7LWESMG74STSNTS/graph.json","events_json":"https://pith.science/api/pith-number/3PIF6HLL4RV7LWESMG74STSNTS/events.json","paper":"https://pith.science/paper/3PIF6HLL"},"agent_actions":{"view_html":"https://pith.science/pith/3PIF6HLL4RV7LWESMG74STSNTS","download_json":"https://pith.science/pith/3PIF6HLL4RV7LWESMG74STSNTS.json","view_paper":"https://pith.science/paper/3PIF6HLL","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1301.3794&json=true","fetch_graph":"https://pith.science/api/pith-number/3PIF6HLL4RV7LWESMG74STSNTS/graph.json","fetch_events":"https://pith.science/api/pith-number/3PIF6HLL4RV7LWESMG74STSNTS/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/3PIF6HLL4RV7LWESMG74STSNTS/action/timestamp_anchor","attest_storage":"https://pith.science/pith/3PIF6HLL4RV7LWESMG74STSNTS/action/storage_attestation","attest_author":"https://pith.science/pith/3PIF6HLL4RV7LWESMG74STSNTS/action/author_attestation","sign_citation":"https://pith.science/pith/3PIF6HLL4RV7LWESMG74STSNTS/action/citation_signature","submit_replication":"https://pith.science/pith/3PIF6HLL4RV7LWESMG74STSNTS/action/replication_record"}},"created_at":"2026-05-18T02:48:17.871536+00:00","updated_at":"2026-05-18T02:48:17.871536+00:00"}