{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:N6ZR3OOERFYA2KWTZ2O5OT6J25","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"3f9e94264b083382dabf5844a87b9aeed99ebc0b8f112efd80b8914ec82bec62","cross_cats_sorted":["cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-12-29T02:53:45Z","title_canon_sha256":"295c1b60fee286b95784fd5ffb1a7e8f9196c488d592b96b087b7abb03749161"},"schema_version":"1.0","source":{"id":"1712.10103","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1712.10103","created_at":"2026-06-04T19:11:22Z"},{"alias_kind":"arxiv_version","alias_value":"1712.10103v2","created_at":"2026-06-04T19:11:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.10103","created_at":"2026-06-04T19:11:22Z"},{"alias_kind":"pith_short_12","alias_value":"N6ZR3OOERFYA","created_at":"2026-06-04T19:11:22Z"},{"alias_kind":"pith_short_16","alias_value":"N6ZR3OOERFYA2KWT","created_at":"2026-06-04T19:11:22Z"},{"alias_kind":"pith_short_8","alias_value":"N6ZR3OOE","created_at":"2026-06-04T19:11:22Z"}],"graph_snapshots":[{"event_id":"sha256:9bf97bf4f2b63a50ce0d4949dc0266f7d32d53cd9a9c04b28b265b7892028254","target":"graph","created_at":"2026-06-04T19:11:22Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1712.10103/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"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.","authors_text":"Fanyi Yang, Pingbing Ming, Ruo Li, Zhijian Yang, Zhiyuan Sun","cross_cats":["cs.NA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-12-29T02:53:45Z","title":"A Discontinuous Galerkin Method by Patch Reconstruction for Biharmonic Problem"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.10103","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:68cab6942464392501d2e3ab5664c44d616a974f9d28cc9cefbde29bc2e7fc4c","target":"record","created_at":"2026-06-04T19:11:22Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"3f9e94264b083382dabf5844a87b9aeed99ebc0b8f112efd80b8914ec82bec62","cross_cats_sorted":["cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-12-29T02:53:45Z","title_canon_sha256":"295c1b60fee286b95784fd5ffb1a7e8f9196c488d592b96b087b7abb03749161"},"schema_version":"1.0","source":{"id":"1712.10103","kind":"arxiv","version":2}},"canonical_sha256":"6fb31db9c489700d2ad3ce9dd74fc9d767bed16209f3e695dbf93fdc89167d14","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6fb31db9c489700d2ad3ce9dd74fc9d767bed16209f3e695dbf93fdc89167d14","first_computed_at":"2026-06-04T19:11:22.861222Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-04T19:11:22.861222Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zt35KDk8WhGTRDuPEDjWrWwrfKwIsYcmYurU2LELThAXGPOcQGcYjHim1cmyvjP6fTTsLoZvDgrrS+dDwfOYCw==","signature_status":"signed_v1","signed_at":"2026-06-04T19:11:22.861655Z","signed_message":"canonical_sha256_bytes"},"source_id":"1712.10103","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:68cab6942464392501d2e3ab5664c44d616a974f9d28cc9cefbde29bc2e7fc4c","sha256:9bf97bf4f2b63a50ce0d4949dc0266f7d32d53cd9a9c04b28b265b7892028254"],"state_sha256":"0721607413427675d8999a472f5f8cf6e33b678ea078570e76a366288ad08486"}