{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:JWU3UZPSTCKLKN2WDFZ3OG2PFP","short_pith_number":"pith:JWU3UZPS","schema_version":"1.0","canonical_sha256":"4da9ba65f29894b537561973b71b4f2bfe9af738f0da6c941287b3067968214d","source":{"kind":"arxiv","id":"1804.02377","version":1},"attestation_state":"computed","paper":{"title":"Adaptive finite element method for the Maxwell eigenvalue problem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Daniele Boffi, Lucia Gastaldi","submitted_at":"2018-04-06T17:49:47Z","abstract_excerpt":"In this paper we prove the optimal convergence of a standard adaptive scheme based on edge finite elements for the approximation of the solutions of the eigenvalue problem associated with Maxwell's equations. The proof uses the known equivalence of the problem of interest with a mixed eigenvalue problem."},"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":"1804.02377","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-04-06T17:49:47Z","cross_cats_sorted":[],"title_canon_sha256":"9ff867c979ff626d0f6d55a7f7bc12c881c21d73732c0138c68eb5ae15b5a30f","abstract_canon_sha256":"c61aa3289c4f00c3bd962917416fcd9b159daf6830ec0b941b04cb36b620e073"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:19:05.053813Z","signature_b64":"e7d761PQ82u8iD3dia5CjWOK7nr7RdFOV2f/EPLUCZ5qY7uuf6oCha4A4sZaheYGhUbWNsnsVmi21nTKUl/9BQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4da9ba65f29894b537561973b71b4f2bfe9af738f0da6c941287b3067968214d","last_reissued_at":"2026-05-18T00:19:05.053223Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:19:05.053223Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Adaptive finite element method for the Maxwell eigenvalue problem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Daniele Boffi, Lucia Gastaldi","submitted_at":"2018-04-06T17:49:47Z","abstract_excerpt":"In this paper we prove the optimal convergence of a standard adaptive scheme based on edge finite elements for the approximation of the solutions of the eigenvalue problem associated with Maxwell's equations. The proof uses the known equivalence of the problem of interest with a mixed eigenvalue problem."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.02377","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":"1804.02377","created_at":"2026-05-18T00:19:05.053298+00:00"},{"alias_kind":"arxiv_version","alias_value":"1804.02377v1","created_at":"2026-05-18T00:19:05.053298+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.02377","created_at":"2026-05-18T00:19:05.053298+00:00"},{"alias_kind":"pith_short_12","alias_value":"JWU3UZPSTCKL","created_at":"2026-05-18T12:32:33.847187+00:00"},{"alias_kind":"pith_short_16","alias_value":"JWU3UZPSTCKLKN2W","created_at":"2026-05-18T12:32:33.847187+00:00"},{"alias_kind":"pith_short_8","alias_value":"JWU3UZPS","created_at":"2026-05-18T12:32:33.847187+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/JWU3UZPSTCKLKN2WDFZ3OG2PFP","json":"https://pith.science/pith/JWU3UZPSTCKLKN2WDFZ3OG2PFP.json","graph_json":"https://pith.science/api/pith-number/JWU3UZPSTCKLKN2WDFZ3OG2PFP/graph.json","events_json":"https://pith.science/api/pith-number/JWU3UZPSTCKLKN2WDFZ3OG2PFP/events.json","paper":"https://pith.science/paper/JWU3UZPS"},"agent_actions":{"view_html":"https://pith.science/pith/JWU3UZPSTCKLKN2WDFZ3OG2PFP","download_json":"https://pith.science/pith/JWU3UZPSTCKLKN2WDFZ3OG2PFP.json","view_paper":"https://pith.science/paper/JWU3UZPS","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1804.02377&json=true","fetch_graph":"https://pith.science/api/pith-number/JWU3UZPSTCKLKN2WDFZ3OG2PFP/graph.json","fetch_events":"https://pith.science/api/pith-number/JWU3UZPSTCKLKN2WDFZ3OG2PFP/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/JWU3UZPSTCKLKN2WDFZ3OG2PFP/action/timestamp_anchor","attest_storage":"https://pith.science/pith/JWU3UZPSTCKLKN2WDFZ3OG2PFP/action/storage_attestation","attest_author":"https://pith.science/pith/JWU3UZPSTCKLKN2WDFZ3OG2PFP/action/author_attestation","sign_citation":"https://pith.science/pith/JWU3UZPSTCKLKN2WDFZ3OG2PFP/action/citation_signature","submit_replication":"https://pith.science/pith/JWU3UZPSTCKLKN2WDFZ3OG2PFP/action/replication_record"}},"created_at":"2026-05-18T00:19:05.053298+00:00","updated_at":"2026-05-18T00:19:05.053298+00:00"}