{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:WBBIVGWDZLRJSVFH7QMAGAKRNJ","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":"d6cd2849c655c7d7c8f8ede9737955b17752091e3a004cd2d1d726bb80a5fa1b","cross_cats_sorted":["math.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-10-01T12:58:01Z","title_canon_sha256":"c4c55ca239b540953ea9ac46dd3afa9a79a757d940527ce4122e5b28f1b0c647"},"schema_version":"1.0","source":{"id":"1810.00688","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1810.00688","created_at":"2026-05-17T23:52:05Z"},{"alias_kind":"arxiv_version","alias_value":"1810.00688v3","created_at":"2026-05-17T23:52:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.00688","created_at":"2026-05-17T23:52:05Z"},{"alias_kind":"pith_short_12","alias_value":"WBBIVGWDZLRJ","created_at":"2026-05-18T12:32:59Z"},{"alias_kind":"pith_short_16","alias_value":"WBBIVGWDZLRJSVFH","created_at":"2026-05-18T12:32:59Z"},{"alias_kind":"pith_short_8","alias_value":"WBBIVGWD","created_at":"2026-05-18T12:32:59Z"}],"graph_snapshots":[{"event_id":"sha256:b0e17bfe1b1bc8a817032bef2e8c5620a34e6329176b7052b3178dd819d09da0","target":"graph","created_at":"2026-05-17T23:52:05Z","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":"This work studies the approximation of plane problems concerning transversely isotropic elasticity, using a low-order Virtual Element Method (VEM), with a focus on near-incompressibility and near-inextensibility. Additionally, both homogeneous problems, in which the plane of isotropy is fixed; and non-homogeneous problems, in which the fibre direction defining the isotropy plane varies with position, are explored. In the latter case various options are considered for approximating the non-homogeneous fibre directions at element level. Through a range of numerical examples the VEM approximation","authors_text":"B. D. Reddy, D. van Huyssteen","cross_cats":["math.AP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-10-01T12:58:01Z","title":"A Virtual Element Method for transversely isotropic elasticity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.00688","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:b894fd3d5f4ee5aadf3e753cad0f436c742910ae544a20febeaf4ffc692fdbf1","target":"record","created_at":"2026-05-17T23:52:05Z","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":"d6cd2849c655c7d7c8f8ede9737955b17752091e3a004cd2d1d726bb80a5fa1b","cross_cats_sorted":["math.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-10-01T12:58:01Z","title_canon_sha256":"c4c55ca239b540953ea9ac46dd3afa9a79a757d940527ce4122e5b28f1b0c647"},"schema_version":"1.0","source":{"id":"1810.00688","kind":"arxiv","version":3}},"canonical_sha256":"b0428a9ac3cae29954a7fc180301516a7cc1bf6afeb9ff2ac95acf8db370544c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b0428a9ac3cae29954a7fc180301516a7cc1bf6afeb9ff2ac95acf8db370544c","first_computed_at":"2026-05-17T23:52:05.033014Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:52:05.033014Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"SPy0RJUmJ4jPIWzsAIQN6/SC/5F/DgtdP2KdFcUtnFAXtlIn9TKi90OJZem92QghhurE55vp9s96ey9ulwNyBQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:52:05.033560Z","signed_message":"canonical_sha256_bytes"},"source_id":"1810.00688","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b894fd3d5f4ee5aadf3e753cad0f436c742910ae544a20febeaf4ffc692fdbf1","sha256:b0e17bfe1b1bc8a817032bef2e8c5620a34e6329176b7052b3178dd819d09da0"],"state_sha256":"b6ddb2f6bf5933df5eba6b95f277767293121014e9b97878df60384405734786"}