{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:N6ZR3OOERFYA2KWTZ2O5OT6J25","short_pith_number":"pith:N6ZR3OOE","schema_version":"1.0","canonical_sha256":"6fb31db9c489700d2ad3ce9dd74fc9d767bed16209f3e695dbf93fdc89167d14","source":{"kind":"arxiv","id":"1712.10103","version":2},"attestation_state":"computed","paper":{"title":"A Discontinuous Galerkin Method by Patch Reconstruction for Biharmonic Problem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA"],"primary_cat":"math.NA","authors_text":"Fanyi Yang, Pingbing Ming, Ruo Li, Zhijian Yang, Zhiyuan Sun","submitted_at":"2017-12-29T02:53:45Z","abstract_excerpt":"We propose a new discontinuous Galerkin method based on the least-squares patch reconstruction for the biharmonic problem. We prove the optimal error estimate of the proposed method. The two-dimensional and three-dimensional numerical examples are presented to confirm the accuracy and efficiency of the method with several boundary conditions and several types of polygon meshes and polyhedral meshes."},"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":"1712.10103","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-12-29T02:53:45Z","cross_cats_sorted":["cs.NA"],"title_canon_sha256":"295c1b60fee286b95784fd5ffb1a7e8f9196c488d592b96b087b7abb03749161","abstract_canon_sha256":"3f9e94264b083382dabf5844a87b9aeed99ebc0b8f112efd80b8914ec82bec62"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-04T19:11:22.861655Z","signature_b64":"zt35KDk8WhGTRDuPEDjWrWwrfKwIsYcmYurU2LELThAXGPOcQGcYjHim1cmyvjP6fTTsLoZvDgrrS+dDwfOYCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6fb31db9c489700d2ad3ce9dd74fc9d767bed16209f3e695dbf93fdc89167d14","last_reissued_at":"2026-06-04T19:11:22.861222Z","signature_status":"signed_v1","first_computed_at":"2026-06-04T19:11:22.861222Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A Discontinuous Galerkin Method by Patch Reconstruction for Biharmonic Problem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA"],"primary_cat":"math.NA","authors_text":"Fanyi Yang, Pingbing Ming, Ruo Li, Zhijian Yang, Zhiyuan Sun","submitted_at":"2017-12-29T02:53:45Z","abstract_excerpt":"We propose a new discontinuous Galerkin method based on the least-squares patch reconstruction for the biharmonic problem. We prove the optimal error estimate of the proposed method. The two-dimensional and three-dimensional numerical examples are presented to confirm the accuracy and efficiency of the method with several boundary conditions and several types of polygon meshes and polyhedral meshes."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.10103","kind":"arxiv","version":2},"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/1712.10103/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"1712.10103","created_at":"2026-06-04T19:11:22.861283+00:00"},{"alias_kind":"arxiv_version","alias_value":"1712.10103v2","created_at":"2026-06-04T19:11:22.861283+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.10103","created_at":"2026-06-04T19:11:22.861283+00:00"},{"alias_kind":"pith_short_12","alias_value":"N6ZR3OOERFYA","created_at":"2026-06-04T19:11:22.861283+00:00"},{"alias_kind":"pith_short_16","alias_value":"N6ZR3OOERFYA2KWT","created_at":"2026-06-04T19:11:22.861283+00:00"},{"alias_kind":"pith_short_8","alias_value":"N6ZR3OOE","created_at":"2026-06-04T19:11:22.861283+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/N6ZR3OOERFYA2KWTZ2O5OT6J25","json":"https://pith.science/pith/N6ZR3OOERFYA2KWTZ2O5OT6J25.json","graph_json":"https://pith.science/api/pith-number/N6ZR3OOERFYA2KWTZ2O5OT6J25/graph.json","events_json":"https://pith.science/api/pith-number/N6ZR3OOERFYA2KWTZ2O5OT6J25/events.json","paper":"https://pith.science/paper/N6ZR3OOE"},"agent_actions":{"view_html":"https://pith.science/pith/N6ZR3OOERFYA2KWTZ2O5OT6J25","download_json":"https://pith.science/pith/N6ZR3OOERFYA2KWTZ2O5OT6J25.json","view_paper":"https://pith.science/paper/N6ZR3OOE","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1712.10103&json=true","fetch_graph":"https://pith.science/api/pith-number/N6ZR3OOERFYA2KWTZ2O5OT6J25/graph.json","fetch_events":"https://pith.science/api/pith-number/N6ZR3OOERFYA2KWTZ2O5OT6J25/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/N6ZR3OOERFYA2KWTZ2O5OT6J25/action/timestamp_anchor","attest_storage":"https://pith.science/pith/N6ZR3OOERFYA2KWTZ2O5OT6J25/action/storage_attestation","attest_author":"https://pith.science/pith/N6ZR3OOERFYA2KWTZ2O5OT6J25/action/author_attestation","sign_citation":"https://pith.science/pith/N6ZR3OOERFYA2KWTZ2O5OT6J25/action/citation_signature","submit_replication":"https://pith.science/pith/N6ZR3OOERFYA2KWTZ2O5OT6J25/action/replication_record"}},"created_at":"2026-06-04T19:11:22.861283+00:00","updated_at":"2026-06-04T19:11:22.861283+00:00"}