{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:X524AMNKTU64RPVLHELSXUB7O3","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":"7c4825689764e32ea0f22c15c959e96d3f2abb0bc7e38ea5814652a4f41ab722","cross_cats_sorted":["cs.NA","math.AP","math.DS","math.NA"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.CE","submitted_at":"2020-02-19T22:01:46Z","title_canon_sha256":"e1dff3be0cd12e319d09882faf230961e0916a782b65d7014a8fd9c1a3c50d45"},"schema_version":"1.0","source":{"id":"2002.10244","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2002.10244","created_at":"2026-07-05T02:11:44Z"},{"alias_kind":"arxiv_version","alias_value":"2002.10244v1","created_at":"2026-07-05T02:11:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2002.10244","created_at":"2026-07-05T02:11:44Z"},{"alias_kind":"pith_short_12","alias_value":"X524AMNKTU64","created_at":"2026-07-05T02:11:44Z"},{"alias_kind":"pith_short_16","alias_value":"X524AMNKTU64RPVL","created_at":"2026-07-05T02:11:44Z"},{"alias_kind":"pith_short_8","alias_value":"X524AMNK","created_at":"2026-07-05T02:11:44Z"}],"graph_snapshots":[{"event_id":"sha256:6b55c2cb211d2710df60ac3ffa20f200f9ed87048da23070cb33850953083b83","target":"graph","created_at":"2026-07-05T02:11:44Z","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/2002.10244/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This study presents the analytical formulation and the finite element solution of fractional order nonlocal plates under both Mindlin and Kirchoff formulations. By employing consistent definitions for fractional-order kinematic relations, the governing equations and the associated boundary conditions are derived based on variational principles. Remarkably, the fractional-order nonlocal model gives rise to a self-adjoint and positive-definite system that accepts a unique solution. Further, owing to the difficulty in obtaining analytical solutions to this fractional-order differ-integral problem","authors_text":"Fabio Semperlotti, Sai Sidhardh, Sansit Patnaik","cross_cats":["cs.NA","math.AP","math.DS","math.NA"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.CE","submitted_at":"2020-02-19T22:01:46Z","title":"Fractional-Order Models for the Static and Dynamic Analysis of Nonlocal Plates"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2002.10244","kind":"arxiv","version":1},"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":"sha256:79c0a7e2812569b567a0e073f9815e268285d958ef28478f719aa5f25277939b","target":"record","created_at":"2026-07-05T02:11:44Z","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":"7c4825689764e32ea0f22c15c959e96d3f2abb0bc7e38ea5814652a4f41ab722","cross_cats_sorted":["cs.NA","math.AP","math.DS","math.NA"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.CE","submitted_at":"2020-02-19T22:01:46Z","title_canon_sha256":"e1dff3be0cd12e319d09882faf230961e0916a782b65d7014a8fd9c1a3c50d45"},"schema_version":"1.0","source":{"id":"2002.10244","kind":"arxiv","version":1}},"canonical_sha256":"bf75c031aa9d3dc8beab39172bd03f76c7b433b4d1143df9c1cfdf4721497b5d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bf75c031aa9d3dc8beab39172bd03f76c7b433b4d1143df9c1cfdf4721497b5d","first_computed_at":"2026-07-05T02:11:44.139189Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:11:44.139189Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"O5bPskAlvHjKZetvNxJh13n4qUZ+lBVQXNvAxAUEGAMRY7Ux0NOGioSNfUciENl0n5M2tRh5qy+tmp48J3FXDw==","signature_status":"signed_v1","signed_at":"2026-07-05T02:11:44.139539Z","signed_message":"canonical_sha256_bytes"},"source_id":"2002.10244","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:79c0a7e2812569b567a0e073f9815e268285d958ef28478f719aa5f25277939b","sha256:6b55c2cb211d2710df60ac3ffa20f200f9ed87048da23070cb33850953083b83"],"state_sha256":"97cedee98465c9df4797f6855ad52a8a31179ce9d5370306d1fba5c3e57ccbd9"}