{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:IWL3ACTT4BGP3FVRHMXODPYW2N","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":"774030d9a61e89ffecd629efb71791ae12d1c9e647fc7156633e38f970224f0e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2013-01-07T07:06:19Z","title_canon_sha256":"03d6cfb88d8b62a03cffe14993d286072834148e1661ad5773e54226ceb55c59"},"schema_version":"1.0","source":{"id":"1301.1120","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1301.1120","created_at":"2026-05-18T01:19:39Z"},{"alias_kind":"arxiv_version","alias_value":"1301.1120v2","created_at":"2026-05-18T01:19:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.1120","created_at":"2026-05-18T01:19:39Z"},{"alias_kind":"pith_short_12","alias_value":"IWL3ACTT4BGP","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_16","alias_value":"IWL3ACTT4BGP3FVR","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_8","alias_value":"IWL3ACTT","created_at":"2026-05-18T12:27:49Z"}],"graph_snapshots":[{"event_id":"sha256:f3063dddf0bc8b66cf19bb4fa5f765f868c0ae15acd3f656e8fef40a7be6851d","target":"graph","created_at":"2026-05-18T01:19:39Z","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"},"paper":{"abstract_excerpt":"A new class of nonparametric nonconforming quadrilateral finite elements is introduced which has the midpoint continuity and the mean value continuity at the interfaces of elements simultaneously as the rectangular DSSY element [J.Douglas, Jr., J. E. Santos, D. Sheen, and X. Ye. Nonconforming {G}alerkin methods based on quadrilateral elements for second order elliptic problems. ESAIM--Math. Model. Numer. Anal., 33(4):747--770, 1999]. The parametric DSSY element for general quadrilaterals requires five degrees of freedom to have an optimal order of convergence [Z. Cai, J. Douglas, Jr., J. E. Sa","authors_text":"Dongwoo Sheen, Hyun Nam, Kwangshin Shim, Youngmok Jeon","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2013-01-07T07:06:19Z","title":"A class of nonparametric DSSY nonconforming quadrilateral elements"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.1120","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:ca0aa1bf22f10465647a1cce8eb288181eca9a801535b7d756ffcf433e0eb7dd","target":"record","created_at":"2026-05-18T01:19:39Z","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":"774030d9a61e89ffecd629efb71791ae12d1c9e647fc7156633e38f970224f0e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2013-01-07T07:06:19Z","title_canon_sha256":"03d6cfb88d8b62a03cffe14993d286072834148e1661ad5773e54226ceb55c59"},"schema_version":"1.0","source":{"id":"1301.1120","kind":"arxiv","version":2}},"canonical_sha256":"4597b00a73e04cfd96b13b2ee1bf16d378a8d9094d389728a69d8d03afca78b9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4597b00a73e04cfd96b13b2ee1bf16d378a8d9094d389728a69d8d03afca78b9","first_computed_at":"2026-05-18T01:19:39.136867Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:19:39.136867Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"W9iLd8pm/rCagoPxgv/1DhOJqrfFXlV4p58+ot31BEkKCmxsuRwmGNl/ZdQpqFSBRQT1KYYkjhSuhEcgFZhcAw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:19:39.137425Z","signed_message":"canonical_sha256_bytes"},"source_id":"1301.1120","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ca0aa1bf22f10465647a1cce8eb288181eca9a801535b7d756ffcf433e0eb7dd","sha256:f3063dddf0bc8b66cf19bb4fa5f765f868c0ae15acd3f656e8fef40a7be6851d"],"state_sha256":"bc741429e16c42fc41749d6825acc80e164aa6cad55220831ce395fdd97df32c"}