{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:S7OH7TLO7WUYITV7FJOEFUSB6M","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":"fc94ac682d6943b2a5d0136451dffdecf3e16a1f1c7044ed50756edb930fc213","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-05-03T04:26:30Z","title_canon_sha256":"4360e61959ae72fa569992582a3f0cd6a163be23fde708b027a7de27b92bff72"},"schema_version":"1.0","source":{"id":"1305.0622","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.0622","created_at":"2026-05-18T03:21:54Z"},{"alias_kind":"arxiv_version","alias_value":"1305.0622v3","created_at":"2026-05-18T03:21:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.0622","created_at":"2026-05-18T03:21:54Z"},{"alias_kind":"pith_short_12","alias_value":"S7OH7TLO7WUY","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_16","alias_value":"S7OH7TLO7WUYITV7","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_8","alias_value":"S7OH7TLO","created_at":"2026-05-18T12:27:59Z"}],"graph_snapshots":[{"event_id":"sha256:0796b8a4f32f6bd18989a082c1bb740340e8be6bd5a92bb28b3c7dc4c4e29fe1","target":"graph","created_at":"2026-05-18T03:21:54Z","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 prove the global existence of weak solution for two dimensional Ericksen-Leslie system with the Leslie stress and general Ericksen stress under the physical constrains on the Leslie coefficients. We also prove the local well-posedness of the Ericksen-Leslie system in two and three spatial dimensions.","authors_text":"Meng Wang, Wendong Wang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-05-03T04:26:30Z","title":"Global existence of weak solution for the 2-D Ericksen-Leslie system"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.0622","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:ee7ff947a85f4f8f668d8af87a7bbe76d0a82fb6d545c6681b4f72645cd779ba","target":"record","created_at":"2026-05-18T03:21:54Z","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":"fc94ac682d6943b2a5d0136451dffdecf3e16a1f1c7044ed50756edb930fc213","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-05-03T04:26:30Z","title_canon_sha256":"4360e61959ae72fa569992582a3f0cd6a163be23fde708b027a7de27b92bff72"},"schema_version":"1.0","source":{"id":"1305.0622","kind":"arxiv","version":3}},"canonical_sha256":"97dc7fcd6efda9844ebf2a5c42d241f3360a580a349f51f5bf85915275219e65","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"97dc7fcd6efda9844ebf2a5c42d241f3360a580a349f51f5bf85915275219e65","first_computed_at":"2026-05-18T03:21:54.647587Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:21:54.647587Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ip9VBtOS2hv0e5nNAiPjUpURZvFE0OLgUtWZKJHokUsR+dtr7yKz0hKI3KzutOU9kjWM1VxGyveEt/G9uI4LAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:21:54.648034Z","signed_message":"canonical_sha256_bytes"},"source_id":"1305.0622","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ee7ff947a85f4f8f668d8af87a7bbe76d0a82fb6d545c6681b4f72645cd779ba","sha256:0796b8a4f32f6bd18989a082c1bb740340e8be6bd5a92bb28b3c7dc4c4e29fe1"],"state_sha256":"d133631609902d3c8ec10de7af5399f1818d1672e09be290ff09cdb30d666eaf"}