{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:JUD5WRQQEKLQSJ2BXIAOYQNRSP","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":"a5203f0967a02eb0be33fee451066f92a9901cc7ae9e28792021cfc26e6ba618","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2026-03-08T01:45:39Z","title_canon_sha256":"59e02086dc9578d34354afdead67ab467bb9c4d5c4153c91f9e1ca9bf7ddfb8f"},"schema_version":"1.0","source":{"id":"2603.07411","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2603.07411","created_at":"2026-07-15T01:21:51Z"},{"alias_kind":"arxiv_version","alias_value":"2603.07411v2","created_at":"2026-07-15T01:21:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2603.07411","created_at":"2026-07-15T01:21:51Z"},{"alias_kind":"pith_short_12","alias_value":"JUD5WRQQEKLQ","created_at":"2026-07-15T01:21:51Z"},{"alias_kind":"pith_short_16","alias_value":"JUD5WRQQEKLQSJ2B","created_at":"2026-07-15T01:21:51Z"},{"alias_kind":"pith_short_8","alias_value":"JUD5WRQQ","created_at":"2026-07-15T01:21:51Z"}],"graph_snapshots":[{"event_id":"sha256:31cabb106152dcf56125ce0e7c99047a012d5a88ecbaea6ff0025a556d42f920","target":"graph","created_at":"2026-07-15T01:21:51Z","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/2603.07411/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This paper investigates the global dynamics of a three-dimensional fluid-particle interaction system that couples the compressible barotropic Navier-Stokes equations with the Vlasov-Fokker-Planck equation through a density-dependent friction force. The study establishes the global well-posedness, uniform-in-viscosity estimates, the global inviscid limit, and optimal large-time decay rates for classical solutions near equilibrium. First, for initial perturbations in $H^3$ sufficiently close to equilibrium, regularity estimates that are uniform in the viscosity coefficient are derived, and the e","authors_text":"Dehua Wang, Fucai Li, Jinkai Ni","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2026-03-08T01:45:39Z","title":"Global well-posedness and inviscid limit of the compressible Navier-Stokes-Vlasov-Fokker-Planck system with density-dependent friction force"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2603.07411","kind":"arxiv","version":2},"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:f578ec102d20c18754002452c7cc5c18d9b71f1851d8cc9673418bcb21231ad1","target":"record","created_at":"2026-07-15T01:21:51Z","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":"a5203f0967a02eb0be33fee451066f92a9901cc7ae9e28792021cfc26e6ba618","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2026-03-08T01:45:39Z","title_canon_sha256":"59e02086dc9578d34354afdead67ab467bb9c4d5c4153c91f9e1ca9bf7ddfb8f"},"schema_version":"1.0","source":{"id":"2603.07411","kind":"arxiv","version":2}},"canonical_sha256":"4d07db46102297092741ba00ec41b193cd1b783b2747855cbc38ddcc82dc76e7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4d07db46102297092741ba00ec41b193cd1b783b2747855cbc38ddcc82dc76e7","first_computed_at":"2026-07-15T01:21:51.137915Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-15T01:21:51.137915Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3DObVuvxfRHs5qaxKC/aYspVrEYjwYnlnpm8gxN8X65/3wCu6UJ5o1CqKKDmxt1t9FGHqF3fjqGHbeip8jurCA==","signature_status":"signed_v1","signed_at":"2026-07-15T01:21:51.138975Z","signed_message":"canonical_sha256_bytes"},"source_id":"2603.07411","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f578ec102d20c18754002452c7cc5c18d9b71f1851d8cc9673418bcb21231ad1","sha256:31cabb106152dcf56125ce0e7c99047a012d5a88ecbaea6ff0025a556d42f920"],"state_sha256":"6a56bd2499cc588aa68cbde7a70f21ee99621b564e5761beba2f4f22482e3db3"}