{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:RCIWQBURSSLUV3MM3DJYMKGAMH","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":"945826f9b185718a69f701225bf469e6d29255ed1085af8dddb9b580e8afae30","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-11-28T13:23:24Z","title_canon_sha256":"a5f479077c6fe776dab1972d196971c29527c2ea5497d5e430544e2074988c03"},"schema_version":"1.0","source":{"id":"1711.10277","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1711.10277","created_at":"2026-05-18T00:00:59Z"},{"alias_kind":"arxiv_version","alias_value":"1711.10277v1","created_at":"2026-05-18T00:00:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.10277","created_at":"2026-05-18T00:00:59Z"},{"alias_kind":"pith_short_12","alias_value":"RCIWQBURSSLU","created_at":"2026-05-18T12:31:39Z"},{"alias_kind":"pith_short_16","alias_value":"RCIWQBURSSLUV3MM","created_at":"2026-05-18T12:31:39Z"},{"alias_kind":"pith_short_8","alias_value":"RCIWQBUR","created_at":"2026-05-18T12:31:39Z"}],"graph_snapshots":[{"event_id":"sha256:353539748536500910a6959e7a062b168af3a072c266e65fdc35a6081991ae28","target":"graph","created_at":"2026-05-18T00:00:59Z","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 quasistatic model due to Ericksen and Leslie describing incompressible liquid crystals is studied for a general class of free energies. Global existence of weak solutions is proven via a Galerkin approximation with eigenfunctions of a strongly elliptic operator. A novelty is that the principal part of the differential operator appearing in the director equation can be nonlinear.","authors_text":"Etienne Emmrich, Robert Lasarzik","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-11-28T13:23:24Z","title":"Existence of weak solutions to the Ericksen-Leslie model for a general class of free energies"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.10277","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":"sha256:245b3d5d79684d127bdd906859b704c9cd1948f713b56f8d9b8edc94f7606b33","target":"record","created_at":"2026-05-18T00:00:59Z","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":"945826f9b185718a69f701225bf469e6d29255ed1085af8dddb9b580e8afae30","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-11-28T13:23:24Z","title_canon_sha256":"a5f479077c6fe776dab1972d196971c29527c2ea5497d5e430544e2074988c03"},"schema_version":"1.0","source":{"id":"1711.10277","kind":"arxiv","version":1}},"canonical_sha256":"889168069194974aed8cd8d38628c061dd877fb362ed54512cc36db923b75f10","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"889168069194974aed8cd8d38628c061dd877fb362ed54512cc36db923b75f10","first_computed_at":"2026-05-18T00:00:59.774735Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:00:59.774735Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"h/CgZXwyv9XzH4V60IbOK4DNxwI+Lje/K1HiYBFU8xSClGq3vcxT/RJDmpWpAdFz70Lz3FfRcyBVHlPM1bFlBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:00:59.775225Z","signed_message":"canonical_sha256_bytes"},"source_id":"1711.10277","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:245b3d5d79684d127bdd906859b704c9cd1948f713b56f8d9b8edc94f7606b33","sha256:353539748536500910a6959e7a062b168af3a072c266e65fdc35a6081991ae28"],"state_sha256":"c981769f0f0d4a58218020d661a6a791b3b91b0e554f1144b8c33b82ed994172"}