{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:EWBXABIEQPUMTEWTOOZ6H6KY3W","short_pith_number":"pith:EWBXABIE","schema_version":"1.0","canonical_sha256":"258370050483e8c992d373b3e3f958ddb8ec9f485fa311b45bc0579bfe0956e5","source":{"kind":"arxiv","id":"1706.08890","version":1},"attestation_state":"computed","paper":{"title":"Global classical solutions to a Compressible Model for Micro-Macro Polymeric Fluids Near Equilibrium","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Ning Jiang, Teng-Fei Zhang, Yanan Liu","submitted_at":"2017-06-27T14:36:56Z","abstract_excerpt":"In this paper we first employ the energetic variational method to derive a micro-macro model for compressible polymeric fluids. This model is a coupling of isentropic compressible Navier-Stokes equations with a nonlinear Fokker-Planck equation. We then prove the global in time existence of the smooth solution near the global equilibrium."},"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":"1706.08890","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-06-27T14:36:56Z","cross_cats_sorted":[],"title_canon_sha256":"1e7c22ead918d88751d48085222b7d66e1493643fc2916c2b31ee94d77a3d5d8","abstract_canon_sha256":"02281108565e8a950c262bb00cb5ad282ffd9a6213d55291d6f0d1ffdfc385c4"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:41:30.677855Z","signature_b64":"dflEvTq9zy9doVVBlOblzYtpEclPXteE8Eseohl02okevAP3bhAFjz3Z2MDuBURLC11wGAAuu9H4UJz21flkDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"258370050483e8c992d373b3e3f958ddb8ec9f485fa311b45bc0579bfe0956e5","last_reissued_at":"2026-05-18T00:41:30.677139Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:41:30.677139Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Global classical solutions to a Compressible Model for Micro-Macro Polymeric Fluids Near Equilibrium","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Ning Jiang, Teng-Fei Zhang, Yanan Liu","submitted_at":"2017-06-27T14:36:56Z","abstract_excerpt":"In this paper we first employ the energetic variational method to derive a micro-macro model for compressible polymeric fluids. This model is a coupling of isentropic compressible Navier-Stokes equations with a nonlinear Fokker-Planck equation. We then prove the global in time existence of the smooth solution near the global equilibrium."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.08890","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":"1706.08890","created_at":"2026-05-18T00:41:30.677243+00:00"},{"alias_kind":"arxiv_version","alias_value":"1706.08890v1","created_at":"2026-05-18T00:41:30.677243+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.08890","created_at":"2026-05-18T00:41:30.677243+00:00"},{"alias_kind":"pith_short_12","alias_value":"EWBXABIEQPUM","created_at":"2026-05-18T12:31:12.930513+00:00"},{"alias_kind":"pith_short_16","alias_value":"EWBXABIEQPUMTEWT","created_at":"2026-05-18T12:31:12.930513+00:00"},{"alias_kind":"pith_short_8","alias_value":"EWBXABIE","created_at":"2026-05-18T12:31:12.930513+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/EWBXABIEQPUMTEWTOOZ6H6KY3W","json":"https://pith.science/pith/EWBXABIEQPUMTEWTOOZ6H6KY3W.json","graph_json":"https://pith.science/api/pith-number/EWBXABIEQPUMTEWTOOZ6H6KY3W/graph.json","events_json":"https://pith.science/api/pith-number/EWBXABIEQPUMTEWTOOZ6H6KY3W/events.json","paper":"https://pith.science/paper/EWBXABIE"},"agent_actions":{"view_html":"https://pith.science/pith/EWBXABIEQPUMTEWTOOZ6H6KY3W","download_json":"https://pith.science/pith/EWBXABIEQPUMTEWTOOZ6H6KY3W.json","view_paper":"https://pith.science/paper/EWBXABIE","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1706.08890&json=true","fetch_graph":"https://pith.science/api/pith-number/EWBXABIEQPUMTEWTOOZ6H6KY3W/graph.json","fetch_events":"https://pith.science/api/pith-number/EWBXABIEQPUMTEWTOOZ6H6KY3W/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/EWBXABIEQPUMTEWTOOZ6H6KY3W/action/timestamp_anchor","attest_storage":"https://pith.science/pith/EWBXABIEQPUMTEWTOOZ6H6KY3W/action/storage_attestation","attest_author":"https://pith.science/pith/EWBXABIEQPUMTEWTOOZ6H6KY3W/action/author_attestation","sign_citation":"https://pith.science/pith/EWBXABIEQPUMTEWTOOZ6H6KY3W/action/citation_signature","submit_replication":"https://pith.science/pith/EWBXABIEQPUMTEWTOOZ6H6KY3W/action/replication_record"}},"created_at":"2026-05-18T00:41:30.677243+00:00","updated_at":"2026-05-18T00:41:30.677243+00:00"}