{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:GGLPRO55J3E6KV6JCTQISZD27S","short_pith_number":"pith:GGLPRO55","schema_version":"1.0","canonical_sha256":"3196f8bbbd4ec9e557c914e089647afc9364c55aa663d5fe39c84409f635d2a8","source":{"kind":"arxiv","id":"1212.2645","version":1},"attestation_state":"computed","paper":{"title":"A One-level Additive Schwarz Preconditioner for a Discontinuous Petrov-Galerkin Method","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Andrew T. Barker, Eun-Hee Park, Li-yeng Sung, Susanne C. Brenner","submitted_at":"2012-12-11T21:05:35Z","abstract_excerpt":"Discontinuous Petrov-Galerkin (DPG) methods are new discontinuous Galerkin methods with interesting properties. In this article we consider a domain decomposition preconditioner for a DPG method for the Poisson 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":"1212.2645","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2012-12-11T21:05:35Z","cross_cats_sorted":[],"title_canon_sha256":"a4eeab964d1ab6eaa24570e4cb0476061b997681af6a86eae2c74ea14f00be9b","abstract_canon_sha256":"ec62f6e107974bc96dee9e5a7b2b6de443a738638db8da63961fbea3e0dfea12"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:38:35.822815Z","signature_b64":"1gAitfIkSlTGj9FRiATa05grGev8+0rd94/pb1vgsWonJF9IvsdpofnlkU6a5hF+PtkjfzwQXIu4mBYgfc+PDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3196f8bbbd4ec9e557c914e089647afc9364c55aa663d5fe39c84409f635d2a8","last_reissued_at":"2026-05-18T03:38:35.822077Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:38:35.822077Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A One-level Additive Schwarz Preconditioner for a Discontinuous Petrov-Galerkin Method","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Andrew T. Barker, Eun-Hee Park, Li-yeng Sung, Susanne C. Brenner","submitted_at":"2012-12-11T21:05:35Z","abstract_excerpt":"Discontinuous Petrov-Galerkin (DPG) methods are new discontinuous Galerkin methods with interesting properties. In this article we consider a domain decomposition preconditioner for a DPG method for the Poisson problem."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.2645","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":"1212.2645","created_at":"2026-05-18T03:38:35.822206+00:00"},{"alias_kind":"arxiv_version","alias_value":"1212.2645v1","created_at":"2026-05-18T03:38:35.822206+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.2645","created_at":"2026-05-18T03:38:35.822206+00:00"},{"alias_kind":"pith_short_12","alias_value":"GGLPRO55J3E6","created_at":"2026-05-18T12:27:06.952714+00:00"},{"alias_kind":"pith_short_16","alias_value":"GGLPRO55J3E6KV6J","created_at":"2026-05-18T12:27:06.952714+00:00"},{"alias_kind":"pith_short_8","alias_value":"GGLPRO55","created_at":"2026-05-18T12:27:06.952714+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/GGLPRO55J3E6KV6JCTQISZD27S","json":"https://pith.science/pith/GGLPRO55J3E6KV6JCTQISZD27S.json","graph_json":"https://pith.science/api/pith-number/GGLPRO55J3E6KV6JCTQISZD27S/graph.json","events_json":"https://pith.science/api/pith-number/GGLPRO55J3E6KV6JCTQISZD27S/events.json","paper":"https://pith.science/paper/GGLPRO55"},"agent_actions":{"view_html":"https://pith.science/pith/GGLPRO55J3E6KV6JCTQISZD27S","download_json":"https://pith.science/pith/GGLPRO55J3E6KV6JCTQISZD27S.json","view_paper":"https://pith.science/paper/GGLPRO55","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1212.2645&json=true","fetch_graph":"https://pith.science/api/pith-number/GGLPRO55J3E6KV6JCTQISZD27S/graph.json","fetch_events":"https://pith.science/api/pith-number/GGLPRO55J3E6KV6JCTQISZD27S/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GGLPRO55J3E6KV6JCTQISZD27S/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GGLPRO55J3E6KV6JCTQISZD27S/action/storage_attestation","attest_author":"https://pith.science/pith/GGLPRO55J3E6KV6JCTQISZD27S/action/author_attestation","sign_citation":"https://pith.science/pith/GGLPRO55J3E6KV6JCTQISZD27S/action/citation_signature","submit_replication":"https://pith.science/pith/GGLPRO55J3E6KV6JCTQISZD27S/action/replication_record"}},"created_at":"2026-05-18T03:38:35.822206+00:00","updated_at":"2026-05-18T03:38:35.822206+00:00"}