{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:GJJW6CNG4UMRTKQJO7LSDOLDHB","short_pith_number":"pith:GJJW6CNG","schema_version":"1.0","canonical_sha256":"32536f09a6e51919aa0977d721b9633851f249ed8254e3f2faa162c85fb61d9a","source":{"kind":"arxiv","id":"2605.17114","version":1},"attestation_state":"computed","paper":{"title":"Global Well-posedness of the 2D Stochastic Self-consistent Keller-Segel-Navier-Stokes System with Subcritical Cellular Mass","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Chen-Chih Lai, Fanze Kong, Krutika Tawri","submitted_at":"2026-05-16T18:42:36Z","abstract_excerpt":"We consider a stochastic Keller-Segel-Navier-Stokes system in $R^2$ describing the collective motion of cells in an ambient stochastic fluid flow, where the cells are attracted by a chemical substance and transported by the ambient fluid velocity, and the fluid motion is self-consistently driven by forces induced by the cells. We prove the existence of a unique mild solution globally-in-time to the two-dimensional stochastic Keller-Segel-Navier-Stokes system with subcritical mass."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2605.17114","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2026-05-16T18:42:36Z","cross_cats_sorted":[],"title_canon_sha256":"1c88342642de8b09d87273c4a83e1775764920e3aaf17b955292e9f9e35bf082","abstract_canon_sha256":"36dbfdba1903c3357b53f9e771cdcd814b49d8d8522e3922dcd570eec0b6b169"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-20T00:03:40.746345Z","signature_b64":"puq+zhi3SNpVnwgyiofTiMcguH07jfpJrydGdhVUohBJzsqybwtTj6PhDifB4CPw9FwHoH92bPpP7Hdp4A7ZBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"32536f09a6e51919aa0977d721b9633851f249ed8254e3f2faa162c85fb61d9a","last_reissued_at":"2026-05-20T00:03:40.745489Z","signature_status":"signed_v1","first_computed_at":"2026-05-20T00:03:40.745489Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Global Well-posedness of the 2D Stochastic Self-consistent Keller-Segel-Navier-Stokes System with Subcritical Cellular Mass","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Chen-Chih Lai, Fanze Kong, Krutika Tawri","submitted_at":"2026-05-16T18:42:36Z","abstract_excerpt":"We consider a stochastic Keller-Segel-Navier-Stokes system in $R^2$ describing the collective motion of cells in an ambient stochastic fluid flow, where the cells are attracted by a chemical substance and transported by the ambient fluid velocity, and the fluid motion is self-consistently driven by forces induced by the cells. We prove the existence of a unique mild solution globally-in-time to the two-dimensional stochastic Keller-Segel-Navier-Stokes system with subcritical mass."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.17114","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2605.17114/integrity.json","findings":[],"available":true,"detectors_run":[{"name":"ai_meta_artifact","ran_at":"2026-05-19T22:33:23.787472Z","status":"skipped","version":"1.0.0","findings_count":0},{"name":"claim_evidence","ran_at":"2026-05-19T22:21:57.712990Z","status":"completed","version":"1.0.0","findings_count":0}],"snapshot_sha256":"09b4862a08717c6dff3125c7a28e17aa8df66ecd86ec795d0a4751f343c55df5"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"2605.17114","created_at":"2026-05-20T00:03:40.745647+00:00"},{"alias_kind":"arxiv_version","alias_value":"2605.17114v1","created_at":"2026-05-20T00:03:40.745647+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.17114","created_at":"2026-05-20T00:03:40.745647+00:00"},{"alias_kind":"pith_short_12","alias_value":"GJJW6CNG4UMR","created_at":"2026-05-20T00:03:40.745647+00:00"},{"alias_kind":"pith_short_16","alias_value":"GJJW6CNG4UMRTKQJ","created_at":"2026-05-20T00:03:40.745647+00:00"},{"alias_kind":"pith_short_8","alias_value":"GJJW6CNG","created_at":"2026-05-20T00:03:40.745647+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/GJJW6CNG4UMRTKQJO7LSDOLDHB","json":"https://pith.science/pith/GJJW6CNG4UMRTKQJO7LSDOLDHB.json","graph_json":"https://pith.science/api/pith-number/GJJW6CNG4UMRTKQJO7LSDOLDHB/graph.json","events_json":"https://pith.science/api/pith-number/GJJW6CNG4UMRTKQJO7LSDOLDHB/events.json","paper":"https://pith.science/paper/GJJW6CNG"},"agent_actions":{"view_html":"https://pith.science/pith/GJJW6CNG4UMRTKQJO7LSDOLDHB","download_json":"https://pith.science/pith/GJJW6CNG4UMRTKQJO7LSDOLDHB.json","view_paper":"https://pith.science/paper/GJJW6CNG","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2605.17114&json=true","fetch_graph":"https://pith.science/api/pith-number/GJJW6CNG4UMRTKQJO7LSDOLDHB/graph.json","fetch_events":"https://pith.science/api/pith-number/GJJW6CNG4UMRTKQJO7LSDOLDHB/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GJJW6CNG4UMRTKQJO7LSDOLDHB/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GJJW6CNG4UMRTKQJO7LSDOLDHB/action/storage_attestation","attest_author":"https://pith.science/pith/GJJW6CNG4UMRTKQJO7LSDOLDHB/action/author_attestation","sign_citation":"https://pith.science/pith/GJJW6CNG4UMRTKQJO7LSDOLDHB/action/citation_signature","submit_replication":"https://pith.science/pith/GJJW6CNG4UMRTKQJO7LSDOLDHB/action/replication_record"}},"created_at":"2026-05-20T00:03:40.745647+00:00","updated_at":"2026-05-20T00:03:40.745647+00:00"}