{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:JLMJTVOKZTI6YWN7A4UFKQTHZX","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":"fa61ba2568f194e6e853af908c9f2bf125a71fdf153a47ca162fff979c9607ba","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2025-07-07T08:34:50Z","title_canon_sha256":"779999ab204dcd34ff610bb1ba521f8e15e13dd57aacb06c5373b471bccc2825"},"schema_version":"1.0","source":{"id":"2507.04760","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2507.04760","created_at":"2026-07-05T11:32:53Z"},{"alias_kind":"arxiv_version","alias_value":"2507.04760v1","created_at":"2026-07-05T11:32:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2507.04760","created_at":"2026-07-05T11:32:53Z"},{"alias_kind":"pith_short_12","alias_value":"JLMJTVOKZTI6","created_at":"2026-07-05T11:32:53Z"},{"alias_kind":"pith_short_16","alias_value":"JLMJTVOKZTI6YWN7","created_at":"2026-07-05T11:32:53Z"},{"alias_kind":"pith_short_8","alias_value":"JLMJTVOK","created_at":"2026-07-05T11:32:53Z"}],"graph_snapshots":[{"event_id":"sha256:ef68b72dfcb611600b22010f44200a4f5c0cddbbee8a3fe368e201b1c53268e3","target":"graph","created_at":"2026-07-05T11:32:53Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2507.04760/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This paper concerns the Cauchy problem of three-dimensional compressible liquid crystal flows with density-dependent viscosity. When the viscosity coefficients $\\mu_1(\\rho),\\mu_2(\\rho)$ are power functions of the density with the power larger than $1$, it is proved that the system exists a unique global strong solution as long as the initial density is sufficiently large and $L^3$-norm of the derivative of the initial director is sufficiently small. This is the first result concerning the global strong solution for three-dimensional compressible liquid crystal flows without smallness of veloci","authors_text":"Jiaxu Li, Rong Zhang, Yu Mei","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2025-07-07T08:34:50Z","title":"Global strong solution of the 3D compressible liquid crystal flows with density-dependent viscosity and large velocity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2507.04760","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":"sha256:87ace07ab9f52894090b92645bd4f24fe358a0b6be2be2cc3b4fcc60f49bf7af","target":"record","created_at":"2026-07-05T11:32:53Z","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":"fa61ba2568f194e6e853af908c9f2bf125a71fdf153a47ca162fff979c9607ba","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2025-07-07T08:34:50Z","title_canon_sha256":"779999ab204dcd34ff610bb1ba521f8e15e13dd57aacb06c5373b471bccc2825"},"schema_version":"1.0","source":{"id":"2507.04760","kind":"arxiv","version":1}},"canonical_sha256":"4ad899d5caccd1ec59bf0728554267cde59127502410f640d4089654bd822a44","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4ad899d5caccd1ec59bf0728554267cde59127502410f640d4089654bd822a44","first_computed_at":"2026-07-05T11:32:53.602598Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:32:53.602598Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"a24CQXz2bNmjJYpoIFMEetXhO5UPPZBRJZOg1LDL/aVCPaG6c/SOUtepAT/Lbevq4+GQ/gWtY8EK6PHHejfzDg==","signature_status":"signed_v1","signed_at":"2026-07-05T11:32:53.603207Z","signed_message":"canonical_sha256_bytes"},"source_id":"2507.04760","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:87ace07ab9f52894090b92645bd4f24fe358a0b6be2be2cc3b4fcc60f49bf7af","sha256:ef68b72dfcb611600b22010f44200a4f5c0cddbbee8a3fe368e201b1c53268e3"],"state_sha256":"c39b0febc61ca0db9f343143ac77f0308906cda99ab71f2ad4d640d4a66555c2"}