{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:HCRJJYHKZDHGL4UBMP3T4AXBAR","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":"e84f6d71dce120db65ef3524634fd31fe3f30e4ab1d3316d46bf3aea7e0cdbd6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2010-02-15T22:02:55Z","title_canon_sha256":"180a9bf98405b68dc1c55506fd87abb0f34a80346ef7141f4203d0edb65a9d99"},"schema_version":"1.0","source":{"id":"1002.2965","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1002.2965","created_at":"2026-05-18T04:18:53Z"},{"alias_kind":"arxiv_version","alias_value":"1002.2965v1","created_at":"2026-05-18T04:18:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1002.2965","created_at":"2026-05-18T04:18:53Z"},{"alias_kind":"pith_short_12","alias_value":"HCRJJYHKZDHG","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_16","alias_value":"HCRJJYHKZDHGL4UB","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_8","alias_value":"HCRJJYHK","created_at":"2026-05-18T12:26:07Z"}],"graph_snapshots":[{"event_id":"sha256:9d02d9415338d33d7e682b7829de0bf8bb620c2695abe131c6f175941c9295df","target":"graph","created_at":"2026-05-18T04:18:53Z","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":"Thermodynamic framework of finite strain viscoelasticity with second order weak nonlocality in the deformation gradient is investigated. The application of Liu procedure leads to a class of third grade elastic materials where the second gradient of the stress appears in the elastic constitutive relation. Finally the dispersion relation of longitudinal plane waves is calculated in isotropic materials.","authors_text":"C. Papenfuss, P. V\\'an","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2010-02-15T22:02:55Z","title":"Thermodynamic consistency of third grade finite strain elasticity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1002.2965","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:d4fe5cc23833094f0821aec79816ba7b415e7821a220925b89c5c1e73cea84b3","target":"record","created_at":"2026-05-18T04:18:53Z","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":"e84f6d71dce120db65ef3524634fd31fe3f30e4ab1d3316d46bf3aea7e0cdbd6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2010-02-15T22:02:55Z","title_canon_sha256":"180a9bf98405b68dc1c55506fd87abb0f34a80346ef7141f4203d0edb65a9d99"},"schema_version":"1.0","source":{"id":"1002.2965","kind":"arxiv","version":1}},"canonical_sha256":"38a294e0eac8ce65f28163f73e02e1047d54c884725cb46d1999e4ef1956464b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"38a294e0eac8ce65f28163f73e02e1047d54c884725cb46d1999e4ef1956464b","first_computed_at":"2026-05-18T04:18:53.335330Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:18:53.335330Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5f9KxTZLqymrtvdOB6IeJWrdRb4QC0kQy4wg/M/Dkt+LA9MPA1gwFEhric2Sr6spVzcv/oplcMNQyd8C1FPUBw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:18:53.335859Z","signed_message":"canonical_sha256_bytes"},"source_id":"1002.2965","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d4fe5cc23833094f0821aec79816ba7b415e7821a220925b89c5c1e73cea84b3","sha256:9d02d9415338d33d7e682b7829de0bf8bb620c2695abe131c6f175941c9295df"],"state_sha256":"a616054b20b69977c83f7b72e6d7fa4adad6e31d2adac22e6ec68361c769f26b"}