{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:A2LU3D5YY4ON4YLXPBS55XDTH2","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":"5f8d86274dbf443a97a640066163841e621e8eadadae4b7ba3865cefd75537c7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2009-11-26T08:52:55Z","title_canon_sha256":"d6d16b2eb4a019af03f104c2385d6ecd4513fa39b44a1c12ee66f89b1bbf24f2"},"schema_version":"1.0","source":{"id":"0911.5032","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0911.5032","created_at":"2026-05-18T02:10:36Z"},{"alias_kind":"arxiv_version","alias_value":"0911.5032v1","created_at":"2026-05-18T02:10:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0911.5032","created_at":"2026-05-18T02:10:36Z"},{"alias_kind":"pith_short_12","alias_value":"A2LU3D5YY4ON","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"A2LU3D5YY4ON4YLX","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"A2LU3D5Y","created_at":"2026-05-18T12:25:58Z"}],"graph_snapshots":[{"event_id":"sha256:e70260fab23ae429e096898ca7d964db1d3db8ce21f91762f53c249909aa4f6e","target":"graph","created_at":"2026-05-18T02:10:36Z","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":"A model describing the evolution of a liquid crystal substance in the nematic phase is investigated in terms of three basic state variables: the {\\it absolute temperature} $\\teta$, the {\\it velocity field} $\\ub$, and the {\\it director field} $\\bd$, representing preferred orientation of molecules in a neighborhood of any point of a reference domain. The time evolution of the velocity field is governed by the incompressible Navier-Stokes system, with a non-isotropic stress tensor depending on the gradients of the velocity and of the director field $\\bd$, where the transport (viscosity) coefficie","authors_text":"E. Feireisl, E. Rocca, G. Schimperna","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2009-11-26T08:52:55Z","title":"On a non-isothermal model for nematic liquid crystals"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0911.5032","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":"sha256:53a836ca415c2f078d8799af95ba2714092838041644f94279519d1563acbef6","target":"record","created_at":"2026-05-18T02:10:36Z","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":"5f8d86274dbf443a97a640066163841e621e8eadadae4b7ba3865cefd75537c7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2009-11-26T08:52:55Z","title_canon_sha256":"d6d16b2eb4a019af03f104c2385d6ecd4513fa39b44a1c12ee66f89b1bbf24f2"},"schema_version":"1.0","source":{"id":"0911.5032","kind":"arxiv","version":1}},"canonical_sha256":"06974d8fb8c71cde61777865dedc733eb860559ee6ff247654db485c6d323837","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"06974d8fb8c71cde61777865dedc733eb860559ee6ff247654db485c6d323837","first_computed_at":"2026-05-18T02:10:36.513442Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:10:36.513442Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"QkUbicb+8Soj+MD87IisvZ5qVaOuYTKbsVkJq3G6atW6lNeB3NWkzjtBjemdCIwSIeN385XhwaPQu20oM+9EAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:10:36.514210Z","signed_message":"canonical_sha256_bytes"},"source_id":"0911.5032","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:53a836ca415c2f078d8799af95ba2714092838041644f94279519d1563acbef6","sha256:e70260fab23ae429e096898ca7d964db1d3db8ce21f91762f53c249909aa4f6e"],"state_sha256":"384069b86082b251c953d982001378b9b3c2ae583cf2a3da02a7487c35054668"}