{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:YKIW2WAB5TR2NFZAJZV3K33AS7","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":"d103f1ac81cc945f6b7d1eebbc61e42312c56ff552c311df618470a58a204682","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2012-10-17T09:10:57Z","title_canon_sha256":"431267144a0a4036e4730b6cfa4620a79e4aa0aa0df5459eb82016b8b7d8905c"},"schema_version":"1.0","source":{"id":"1210.4676","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1210.4676","created_at":"2026-05-18T03:07:21Z"},{"alias_kind":"arxiv_version","alias_value":"1210.4676v3","created_at":"2026-05-18T03:07:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1210.4676","created_at":"2026-05-18T03:07:21Z"},{"alias_kind":"pith_short_12","alias_value":"YKIW2WAB5TR2","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_16","alias_value":"YKIW2WAB5TR2NFZA","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_8","alias_value":"YKIW2WAB","created_at":"2026-05-18T12:27:27Z"}],"graph_snapshots":[{"event_id":"sha256:73d5cafc7fe3a34a51eb965adcd628eacc111078a0ecad2a515ff7c23db48948","target":"graph","created_at":"2026-05-18T03:07:21Z","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":"In this paper, a non-uniform rational B-spline based iso-geometric finite element method is used to study the static and dynamic characteristics of functionally graded material (FGM) plates. The material properties are assumed to be graded only in the thickness direction and the effective properties are computed either using the rule of mixtures or by Mori-Tanaka homogenization scheme. The plate kinematics is based on the first order shear deformation plate theory (FSDT). The shear correction factors are evaluated employing the energy equivalence principle and a simple modification to the shea","authors_text":"Navid Valizadeh, Octavio A Gonzalez-Estrada, Stephane PA Bordas, Sundararajan Natarajan, Timon Rabczuk, Tinh Quoc Bui","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2012-10-17T09:10:57Z","title":"NURBS-based finite element analysis of functionally graded plates: static bending, vibration, buckling and flutter"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1210.4676","kind":"arxiv","version":3},"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":"sha256:59b253b38f1d7c290ba0cc31e48c8a6f382c037739d31a0a3d3f8fc3e49a170f","target":"record","created_at":"2026-05-18T03:07:21Z","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":"d103f1ac81cc945f6b7d1eebbc61e42312c56ff552c311df618470a58a204682","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2012-10-17T09:10:57Z","title_canon_sha256":"431267144a0a4036e4730b6cfa4620a79e4aa0aa0df5459eb82016b8b7d8905c"},"schema_version":"1.0","source":{"id":"1210.4676","kind":"arxiv","version":3}},"canonical_sha256":"c2916d5801ece3a697204e6bb56f6097c60e9f59cd5a859baf2827773b7bcfcc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c2916d5801ece3a697204e6bb56f6097c60e9f59cd5a859baf2827773b7bcfcc","first_computed_at":"2026-05-18T03:07:21.018033Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:07:21.018033Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"y1oxJ1b4gew7mGYvdP6C0iZoyUjjjqxSGMqAymJ0HA43aE4H+jodEVwUJQYArmLUPzPpjo/zeK+YUU6Lx//7Cg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:07:21.018514Z","signed_message":"canonical_sha256_bytes"},"source_id":"1210.4676","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:59b253b38f1d7c290ba0cc31e48c8a6f382c037739d31a0a3d3f8fc3e49a170f","sha256:73d5cafc7fe3a34a51eb965adcd628eacc111078a0ecad2a515ff7c23db48948"],"state_sha256":"92c4fc7aeba8e6188c6a2692cdde111d0d9c9b675cf29f44236e901ee343ebaf"}