{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:VOZ2BSLSEDT6NP4WGYI3ZN3776","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":"7a20d2b186268131dc7b1f964b6153455367b2c9903194021ea68f02484e7cb3","cross_cats_sorted":["cond-mat.soft"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2010-06-01T00:57:31Z","title_canon_sha256":"49e04367c225be3a60d7f8861c942bac1f1e30aa3d95010744a5953a61357a3b"},"schema_version":"1.0","source":{"id":"1006.0044","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1006.0044","created_at":"2026-05-18T02:07:06Z"},{"alias_kind":"arxiv_version","alias_value":"1006.0044v1","created_at":"2026-05-18T02:07:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1006.0044","created_at":"2026-05-18T02:07:06Z"},{"alias_kind":"pith_short_12","alias_value":"VOZ2BSLSEDT6","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_16","alias_value":"VOZ2BSLSEDT6NP4W","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_8","alias_value":"VOZ2BSLS","created_at":"2026-05-18T12:26:15Z"}],"graph_snapshots":[{"event_id":"sha256:a2ea22bd539eb65bb3df232ed206f4cc20e08f45fa0bbaf17dcb88d2cae8e346","target":"graph","created_at":"2026-05-18T02:07:06Z","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":"We consider a continuum model describing the dynamic behavior of nematic liquid crystal elastomers (LCEs) and implement a numerical scheme to solve the governing equations. In the model, the Helmholtz free energy and Rayleigh dissipation are used, within a Lagrangian framework, to obtain the equations of motion. The free energy consists of both elastic and liquid crystalline contributions, each of which is a function of the material displacement and the orientational order parameter. The model gives dynamics for the material displacement, the scalar order parameter and the nematic director, th","authors_text":"Michael Shelley, Peter Palffy-Muhoray, Wei Zhu","cross_cats":["cond-mat.soft"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2010-06-01T00:57:31Z","title":"Modeling and Simulation of Liquid Crystal Elastomers"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1006.0044","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":"sha256:93b6090ef96dc0d166d4a42a5eb8add7133bf0c7b9f039c2dae6f11f7468b689","target":"record","created_at":"2026-05-18T02:07:06Z","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":"7a20d2b186268131dc7b1f964b6153455367b2c9903194021ea68f02484e7cb3","cross_cats_sorted":["cond-mat.soft"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2010-06-01T00:57:31Z","title_canon_sha256":"49e04367c225be3a60d7f8861c942bac1f1e30aa3d95010744a5953a61357a3b"},"schema_version":"1.0","source":{"id":"1006.0044","kind":"arxiv","version":1}},"canonical_sha256":"abb3a0c97220e7e6bf963611bcb77fffbe5150cbf19a41498268a8caef360ea3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"abb3a0c97220e7e6bf963611bcb77fffbe5150cbf19a41498268a8caef360ea3","first_computed_at":"2026-05-18T02:07:06.194067Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:07:06.194067Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gJ8BOnYGpzTQDG1MYBB9xt1zCMkQSsOuXmoOCyE7d+Fpfjwl2Lz3bdUMQiH0Z2fD4GO4EX8zzE2EOLqO61t1Aw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:07:06.194757Z","signed_message":"canonical_sha256_bytes"},"source_id":"1006.0044","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:93b6090ef96dc0d166d4a42a5eb8add7133bf0c7b9f039c2dae6f11f7468b689","sha256:a2ea22bd539eb65bb3df232ed206f4cc20e08f45fa0bbaf17dcb88d2cae8e346"],"state_sha256":"e9f9671a94ff47c96ac36c74901c41ff473cd036bb50d9f0d8aa67b7b59b5e5f"}