{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:36OQHD4RINTGOVBI5NXFKANBIL","short_pith_number":"pith:36OQHD4R","schema_version":"1.0","canonical_sha256":"df9d038f914366675428eb6e5501a142de03207847442f4465cfb6faf21f0f9d","source":{"kind":"arxiv","id":"1505.03940","version":1},"attestation_state":"computed","paper":{"title":"Exponential mixing for stochastic model of two-dimensional second grade fluids","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Jianliang Zhai, Ran Wang, Tusheng Zhang","submitted_at":"2015-05-15T01:55:03Z","abstract_excerpt":"In this paper, we establish the exponential mixing property of stochastic models for the incompressible second grade fluid. The general criterion established by Cyril Odasso plays an important role."},"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":"1505.03940","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2015-05-15T01:55:03Z","cross_cats_sorted":[],"title_canon_sha256":"f6f8e51af7274ba8bcbf4014d52e9a2ae433125a8d79ec400664f485628367e0","abstract_canon_sha256":"9bc028507483d6f69115ee19b73dea1d120ebbad085c304a0355d6b1bf267be5"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:09:40.646972Z","signature_b64":"+xiKDvClDcgNVx42jCxUcaQ9qC7KpC4/nptgGWb0/96hhxoWziNZskMXLRoxvCAyDviKyt/cWV1IgZC3nkMmDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"df9d038f914366675428eb6e5501a142de03207847442f4465cfb6faf21f0f9d","last_reissued_at":"2026-05-18T02:09:40.646294Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:09:40.646294Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Exponential mixing for stochastic model of two-dimensional second grade fluids","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Jianliang Zhai, Ran Wang, Tusheng Zhang","submitted_at":"2015-05-15T01:55:03Z","abstract_excerpt":"In this paper, we establish the exponential mixing property of stochastic models for the incompressible second grade fluid. The general criterion established by Cyril Odasso plays an important role."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.03940","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":""},"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":"1505.03940","created_at":"2026-05-18T02:09:40.646410+00:00"},{"alias_kind":"arxiv_version","alias_value":"1505.03940v1","created_at":"2026-05-18T02:09:40.646410+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.03940","created_at":"2026-05-18T02:09:40.646410+00:00"},{"alias_kind":"pith_short_12","alias_value":"36OQHD4RINTG","created_at":"2026-05-18T12:29:02.477457+00:00"},{"alias_kind":"pith_short_16","alias_value":"36OQHD4RINTGOVBI","created_at":"2026-05-18T12:29:02.477457+00:00"},{"alias_kind":"pith_short_8","alias_value":"36OQHD4R","created_at":"2026-05-18T12:29:02.477457+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/36OQHD4RINTGOVBI5NXFKANBIL","json":"https://pith.science/pith/36OQHD4RINTGOVBI5NXFKANBIL.json","graph_json":"https://pith.science/api/pith-number/36OQHD4RINTGOVBI5NXFKANBIL/graph.json","events_json":"https://pith.science/api/pith-number/36OQHD4RINTGOVBI5NXFKANBIL/events.json","paper":"https://pith.science/paper/36OQHD4R"},"agent_actions":{"view_html":"https://pith.science/pith/36OQHD4RINTGOVBI5NXFKANBIL","download_json":"https://pith.science/pith/36OQHD4RINTGOVBI5NXFKANBIL.json","view_paper":"https://pith.science/paper/36OQHD4R","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1505.03940&json=true","fetch_graph":"https://pith.science/api/pith-number/36OQHD4RINTGOVBI5NXFKANBIL/graph.json","fetch_events":"https://pith.science/api/pith-number/36OQHD4RINTGOVBI5NXFKANBIL/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/36OQHD4RINTGOVBI5NXFKANBIL/action/timestamp_anchor","attest_storage":"https://pith.science/pith/36OQHD4RINTGOVBI5NXFKANBIL/action/storage_attestation","attest_author":"https://pith.science/pith/36OQHD4RINTGOVBI5NXFKANBIL/action/author_attestation","sign_citation":"https://pith.science/pith/36OQHD4RINTGOVBI5NXFKANBIL/action/citation_signature","submit_replication":"https://pith.science/pith/36OQHD4RINTGOVBI5NXFKANBIL/action/replication_record"}},"created_at":"2026-05-18T02:09:40.646410+00:00","updated_at":"2026-05-18T02:09:40.646410+00:00"}