{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:2IPSUJDI5FLZSTHSVN4MEZGEUJ","short_pith_number":"pith:2IPSUJDI","schema_version":"1.0","canonical_sha256":"d21f2a2468e957994cf2ab78c264c4a2754aeb916efdce598de2747a7d5d49fd","source":{"kind":"arxiv","id":"1809.02498","version":1},"attestation_state":"computed","paper":{"title":"Global Strong Solutions to Compressible Navier-Stokes System with Degenerate Heat Conductivity and Density-Depending Viscosity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Bin Huang, Xiaoding Shi, Ying Sun","submitted_at":"2018-09-05T23:56:24Z","abstract_excerpt":"We consider the compressible Navier-Stokes system where the viscosity depends on density and the heat conductivity is proportional to a positive power of the temperature under stress-free and thermally insulated boundary conditions. Under the same conditions on the initial data as those of the constant viscosity and heat conductivity case ([Kazhikhov-Shelukhin. J. Appl. Math. Mech. 41 (1977)], we obtain the existence and uniqueness of global strong solutions. Our result can be regarded as a natural generalization of the Kazhikhov's theory for the constant heat conductivity case to the degenera"},"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":"1809.02498","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-09-05T23:56:24Z","cross_cats_sorted":[],"title_canon_sha256":"dae0f6a0474e0b82c29cb2aa2ce52f836d6027d44c285db9f032a626696c2ee6","abstract_canon_sha256":"619d181269173ee69aeddfa313c99f70449e61be381d89c3ddf319a8e10df4a8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:06:16.940312Z","signature_b64":"Bq5XTib0Tz0gfylbIWchgsp/FBbNSOHib1iyoHPt1Bkyt9s6Sj7mJtLtjtoWQENcc0HJOwswRz7MwjuSkyTOBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d21f2a2468e957994cf2ab78c264c4a2754aeb916efdce598de2747a7d5d49fd","last_reissued_at":"2026-05-18T00:06:16.939797Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:06:16.939797Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Global Strong Solutions to Compressible Navier-Stokes System with Degenerate Heat Conductivity and Density-Depending Viscosity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Bin Huang, Xiaoding Shi, Ying Sun","submitted_at":"2018-09-05T23:56:24Z","abstract_excerpt":"We consider the compressible Navier-Stokes system where the viscosity depends on density and the heat conductivity is proportional to a positive power of the temperature under stress-free and thermally insulated boundary conditions. Under the same conditions on the initial data as those of the constant viscosity and heat conductivity case ([Kazhikhov-Shelukhin. J. Appl. Math. Mech. 41 (1977)], we obtain the existence and uniqueness of global strong solutions. Our result can be regarded as a natural generalization of the Kazhikhov's theory for the constant heat conductivity case to the degenera"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1809.02498","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":"1809.02498","created_at":"2026-05-18T00:06:16.939874+00:00"},{"alias_kind":"arxiv_version","alias_value":"1809.02498v1","created_at":"2026-05-18T00:06:16.939874+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1809.02498","created_at":"2026-05-18T00:06:16.939874+00:00"},{"alias_kind":"pith_short_12","alias_value":"2IPSUJDI5FLZ","created_at":"2026-05-18T12:32:02.567920+00:00"},{"alias_kind":"pith_short_16","alias_value":"2IPSUJDI5FLZSTHS","created_at":"2026-05-18T12:32:02.567920+00:00"},{"alias_kind":"pith_short_8","alias_value":"2IPSUJDI","created_at":"2026-05-18T12:32:02.567920+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/2IPSUJDI5FLZSTHSVN4MEZGEUJ","json":"https://pith.science/pith/2IPSUJDI5FLZSTHSVN4MEZGEUJ.json","graph_json":"https://pith.science/api/pith-number/2IPSUJDI5FLZSTHSVN4MEZGEUJ/graph.json","events_json":"https://pith.science/api/pith-number/2IPSUJDI5FLZSTHSVN4MEZGEUJ/events.json","paper":"https://pith.science/paper/2IPSUJDI"},"agent_actions":{"view_html":"https://pith.science/pith/2IPSUJDI5FLZSTHSVN4MEZGEUJ","download_json":"https://pith.science/pith/2IPSUJDI5FLZSTHSVN4MEZGEUJ.json","view_paper":"https://pith.science/paper/2IPSUJDI","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1809.02498&json=true","fetch_graph":"https://pith.science/api/pith-number/2IPSUJDI5FLZSTHSVN4MEZGEUJ/graph.json","fetch_events":"https://pith.science/api/pith-number/2IPSUJDI5FLZSTHSVN4MEZGEUJ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/2IPSUJDI5FLZSTHSVN4MEZGEUJ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/2IPSUJDI5FLZSTHSVN4MEZGEUJ/action/storage_attestation","attest_author":"https://pith.science/pith/2IPSUJDI5FLZSTHSVN4MEZGEUJ/action/author_attestation","sign_citation":"https://pith.science/pith/2IPSUJDI5FLZSTHSVN4MEZGEUJ/action/citation_signature","submit_replication":"https://pith.science/pith/2IPSUJDI5FLZSTHSVN4MEZGEUJ/action/replication_record"}},"created_at":"2026-05-18T00:06:16.939874+00:00","updated_at":"2026-05-18T00:06:16.939874+00:00"}