{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:G6HW2OV5ZYSGY43DLLT7JFRZSN","short_pith_number":"pith:G6HW2OV5","schema_version":"1.0","canonical_sha256":"378f6d3abdce246c73635ae7f49639937f149ff9b750d96f7e0eac34bdd1cbcd","source":{"kind":"arxiv","id":"1408.0724","version":1},"attestation_state":"computed","paper":{"title":"Approximation of elliptic equations with BMO coefficients","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Abner J. Salgado, Harbir Antil","submitted_at":"2014-08-04T16:00:46Z","abstract_excerpt":"We study solution techniques for elliptic equations in divergence form, where the coefficients are only of bounded mean oscillation (BMO). For $|p-2|<\\varepsilon$ and a right hand side in $W^{-1}_p$ we show convergence of a finite element scheme, where $\\varepsilon$ depends on the oscillation of the coefficients."},"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":"1408.0724","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-08-04T16:00:46Z","cross_cats_sorted":[],"title_canon_sha256":"d9449facf1bddd499174e7798ea05450a740183b189030e1f6b6b2aa44429326","abstract_canon_sha256":"85625dad61bcdb6055884d5490d39373c5323fc2d044d847c454b7253b2eacae"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:45:56.369784Z","signature_b64":"oUVDI8Wa71AkijPxPjACCH+GqtnabmKuuIvZPUELcIjt/9f0R2tBf0+yzuAboECcNZGAE7VnlzvGy0jTSvngDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"378f6d3abdce246c73635ae7f49639937f149ff9b750d96f7e0eac34bdd1cbcd","last_reissued_at":"2026-05-18T02:45:56.369234Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:45:56.369234Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Approximation of elliptic equations with BMO coefficients","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Abner J. Salgado, Harbir Antil","submitted_at":"2014-08-04T16:00:46Z","abstract_excerpt":"We study solution techniques for elliptic equations in divergence form, where the coefficients are only of bounded mean oscillation (BMO). For $|p-2|<\\varepsilon$ and a right hand side in $W^{-1}_p$ we show convergence of a finite element scheme, where $\\varepsilon$ depends on the oscillation of the coefficients."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1408.0724","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":"1408.0724","created_at":"2026-05-18T02:45:56.369331+00:00"},{"alias_kind":"arxiv_version","alias_value":"1408.0724v1","created_at":"2026-05-18T02:45:56.369331+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1408.0724","created_at":"2026-05-18T02:45:56.369331+00:00"},{"alias_kind":"pith_short_12","alias_value":"G6HW2OV5ZYSG","created_at":"2026-05-18T12:28:28.263976+00:00"},{"alias_kind":"pith_short_16","alias_value":"G6HW2OV5ZYSGY43D","created_at":"2026-05-18T12:28:28.263976+00:00"},{"alias_kind":"pith_short_8","alias_value":"G6HW2OV5","created_at":"2026-05-18T12:28:28.263976+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/G6HW2OV5ZYSGY43DLLT7JFRZSN","json":"https://pith.science/pith/G6HW2OV5ZYSGY43DLLT7JFRZSN.json","graph_json":"https://pith.science/api/pith-number/G6HW2OV5ZYSGY43DLLT7JFRZSN/graph.json","events_json":"https://pith.science/api/pith-number/G6HW2OV5ZYSGY43DLLT7JFRZSN/events.json","paper":"https://pith.science/paper/G6HW2OV5"},"agent_actions":{"view_html":"https://pith.science/pith/G6HW2OV5ZYSGY43DLLT7JFRZSN","download_json":"https://pith.science/pith/G6HW2OV5ZYSGY43DLLT7JFRZSN.json","view_paper":"https://pith.science/paper/G6HW2OV5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1408.0724&json=true","fetch_graph":"https://pith.science/api/pith-number/G6HW2OV5ZYSGY43DLLT7JFRZSN/graph.json","fetch_events":"https://pith.science/api/pith-number/G6HW2OV5ZYSGY43DLLT7JFRZSN/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/G6HW2OV5ZYSGY43DLLT7JFRZSN/action/timestamp_anchor","attest_storage":"https://pith.science/pith/G6HW2OV5ZYSGY43DLLT7JFRZSN/action/storage_attestation","attest_author":"https://pith.science/pith/G6HW2OV5ZYSGY43DLLT7JFRZSN/action/author_attestation","sign_citation":"https://pith.science/pith/G6HW2OV5ZYSGY43DLLT7JFRZSN/action/citation_signature","submit_replication":"https://pith.science/pith/G6HW2OV5ZYSGY43DLLT7JFRZSN/action/replication_record"}},"created_at":"2026-05-18T02:45:56.369331+00:00","updated_at":"2026-05-18T02:45:56.369331+00:00"}