{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:4ASTHEJC64SC2VNSVJFFYG6DKA","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":"8d680c18459b5bb5ef9907793b58001154c20de3c558336f7ca3efcc36c5b96d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2012-03-13T02:37:53Z","title_canon_sha256":"ec58a80dfb1d3dcda89304bb072866a00f41bc5220b472ab6ef5992047eb1751"},"schema_version":"1.0","source":{"id":"1203.2700","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1203.2700","created_at":"2026-05-18T04:00:14Z"},{"alias_kind":"arxiv_version","alias_value":"1203.2700v1","created_at":"2026-05-18T04:00:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1203.2700","created_at":"2026-05-18T04:00:14Z"},{"alias_kind":"pith_short_12","alias_value":"4ASTHEJC64SC","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_16","alias_value":"4ASTHEJC64SC2VNS","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_8","alias_value":"4ASTHEJC","created_at":"2026-05-18T12:26:53Z"}],"graph_snapshots":[{"event_id":"sha256:dd061dfbcb1a90cb5951d983a369bffb075e4a7c574c6e876ea405cf711e97f6","target":"graph","created_at":"2026-05-18T04:00:14Z","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"},"paper":{"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.","authors_text":"Yun Wang, Zhen Lei","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2012-03-13T02:37:53Z","title":"Global solutions for micro-macro models of polymeric fluids"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.2700","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":"sha256:5223855b254a9fc065d8266ccdbcd420deea745b89483e75354c23f60a6c7c07","target":"record","created_at":"2026-05-18T04:00:14Z","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":"8d680c18459b5bb5ef9907793b58001154c20de3c558336f7ca3efcc36c5b96d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2012-03-13T02:37:53Z","title_canon_sha256":"ec58a80dfb1d3dcda89304bb072866a00f41bc5220b472ab6ef5992047eb1751"},"schema_version":"1.0","source":{"id":"1203.2700","kind":"arxiv","version":1}},"canonical_sha256":"e025339122f7242d55b2aa4a5c1bc3502c2172bc42d78147095a4eae815b9663","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e025339122f7242d55b2aa4a5c1bc3502c2172bc42d78147095a4eae815b9663","first_computed_at":"2026-05-18T04:00:14.887463Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:00:14.887463Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"J0cvt50jN+wgx5+Opvfm0mod2ibclgxHxdTYEwVrTUS2U8r640RGJEjz67S3CTXoF6Z5R1A+Kxn3tLassqouDA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:00:14.888303Z","signed_message":"canonical_sha256_bytes"},"source_id":"1203.2700","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5223855b254a9fc065d8266ccdbcd420deea745b89483e75354c23f60a6c7c07","sha256:dd061dfbcb1a90cb5951d983a369bffb075e4a7c574c6e876ea405cf711e97f6"],"state_sha256":"46eaf639c368621c77056b107f083bebf96b46e2e8c725ed567a2fb43c202e06"}