{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:4ASTHEJC64SC2VNSVJFFYG6DKA","short_pith_number":"pith:4ASTHEJC","schema_version":"1.0","canonical_sha256":"e025339122f7242d55b2aa4a5c1bc3502c2172bc42d78147095a4eae815b9663","source":{"kind":"arxiv","id":"1203.2700","version":1},"attestation_state":"computed","paper":{"title":"Global solutions for micro-macro models of polymeric fluids","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Yun Wang, Zhen Lei","submitted_at":"2012-03-13T02:37:53Z","abstract_excerpt":"We provide a new proof for the global well-posedness of systems coupling fluids and polymers in two space dimensions. Compared to the well-known existing method based on the losing a priori estimates, our method is more direct and much simpler. The co-rotational FENE dumbbell model and the coupling Smoluchowski and Navier-Stokes equations are studied as examples to illustrate our main ideas."},"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":"1203.2700","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2012-03-13T02:37:53Z","cross_cats_sorted":[],"title_canon_sha256":"ec58a80dfb1d3dcda89304bb072866a00f41bc5220b472ab6ef5992047eb1751","abstract_canon_sha256":"8d680c18459b5bb5ef9907793b58001154c20de3c558336f7ca3efcc36c5b96d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:00:14.888303Z","signature_b64":"J0cvt50jN+wgx5+Opvfm0mod2ibclgxHxdTYEwVrTUS2U8r640RGJEjz67S3CTXoF6Z5R1A+Kxn3tLassqouDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e025339122f7242d55b2aa4a5c1bc3502c2172bc42d78147095a4eae815b9663","last_reissued_at":"2026-05-18T04:00:14.887463Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:00:14.887463Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Global solutions for micro-macro models of polymeric fluids","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Yun Wang, Zhen Lei","submitted_at":"2012-03-13T02:37:53Z","abstract_excerpt":"We provide a new proof for the global well-posedness of systems coupling fluids and polymers in two space dimensions. Compared to the well-known existing method based on the losing a priori estimates, our method is more direct and much simpler. The co-rotational FENE dumbbell model and the coupling Smoluchowski and Navier-Stokes equations are studied as examples to illustrate our main ideas."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.2700","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":"1203.2700","created_at":"2026-05-18T04:00:14.887619+00:00"},{"alias_kind":"arxiv_version","alias_value":"1203.2700v1","created_at":"2026-05-18T04:00:14.887619+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1203.2700","created_at":"2026-05-18T04:00:14.887619+00:00"},{"alias_kind":"pith_short_12","alias_value":"4ASTHEJC64SC","created_at":"2026-05-18T12:26:53.410803+00:00"},{"alias_kind":"pith_short_16","alias_value":"4ASTHEJC64SC2VNS","created_at":"2026-05-18T12:26:53.410803+00:00"},{"alias_kind":"pith_short_8","alias_value":"4ASTHEJC","created_at":"2026-05-18T12:26:53.410803+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/4ASTHEJC64SC2VNSVJFFYG6DKA","json":"https://pith.science/pith/4ASTHEJC64SC2VNSVJFFYG6DKA.json","graph_json":"https://pith.science/api/pith-number/4ASTHEJC64SC2VNSVJFFYG6DKA/graph.json","events_json":"https://pith.science/api/pith-number/4ASTHEJC64SC2VNSVJFFYG6DKA/events.json","paper":"https://pith.science/paper/4ASTHEJC"},"agent_actions":{"view_html":"https://pith.science/pith/4ASTHEJC64SC2VNSVJFFYG6DKA","download_json":"https://pith.science/pith/4ASTHEJC64SC2VNSVJFFYG6DKA.json","view_paper":"https://pith.science/paper/4ASTHEJC","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1203.2700&json=true","fetch_graph":"https://pith.science/api/pith-number/4ASTHEJC64SC2VNSVJFFYG6DKA/graph.json","fetch_events":"https://pith.science/api/pith-number/4ASTHEJC64SC2VNSVJFFYG6DKA/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/4ASTHEJC64SC2VNSVJFFYG6DKA/action/timestamp_anchor","attest_storage":"https://pith.science/pith/4ASTHEJC64SC2VNSVJFFYG6DKA/action/storage_attestation","attest_author":"https://pith.science/pith/4ASTHEJC64SC2VNSVJFFYG6DKA/action/author_attestation","sign_citation":"https://pith.science/pith/4ASTHEJC64SC2VNSVJFFYG6DKA/action/citation_signature","submit_replication":"https://pith.science/pith/4ASTHEJC64SC2VNSVJFFYG6DKA/action/replication_record"}},"created_at":"2026-05-18T04:00:14.887619+00:00","updated_at":"2026-05-18T04:00:14.887619+00:00"}