{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:2IPSUJDI5FLZSTHSVN4MEZGEUJ","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":"619d181269173ee69aeddfa313c99f70449e61be381d89c3ddf319a8e10df4a8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-09-05T23:56:24Z","title_canon_sha256":"dae0f6a0474e0b82c29cb2aa2ce52f836d6027d44c285db9f032a626696c2ee6"},"schema_version":"1.0","source":{"id":"1809.02498","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1809.02498","created_at":"2026-05-18T00:06:16Z"},{"alias_kind":"arxiv_version","alias_value":"1809.02498v1","created_at":"2026-05-18T00:06:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1809.02498","created_at":"2026-05-18T00:06:16Z"},{"alias_kind":"pith_short_12","alias_value":"2IPSUJDI5FLZ","created_at":"2026-05-18T12:32:02Z"},{"alias_kind":"pith_short_16","alias_value":"2IPSUJDI5FLZSTHS","created_at":"2026-05-18T12:32:02Z"},{"alias_kind":"pith_short_8","alias_value":"2IPSUJDI","created_at":"2026-05-18T12:32:02Z"}],"graph_snapshots":[{"event_id":"sha256:ee263be2c9a05ebea16879098a636cba39400b8b207a990cccb0938896131a62","target":"graph","created_at":"2026-05-18T00:06:16Z","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 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","authors_text":"Bin Huang, Xiaoding Shi, Ying Sun","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-09-05T23:56:24Z","title":"Global Strong Solutions to Compressible Navier-Stokes System with Degenerate Heat Conductivity and Density-Depending Viscosity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1809.02498","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:a9dd456261750adda5bdcfb7d46f58f06d271e8f00cfe097e739f8a165c885fe","target":"record","created_at":"2026-05-18T00:06:16Z","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":"619d181269173ee69aeddfa313c99f70449e61be381d89c3ddf319a8e10df4a8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-09-05T23:56:24Z","title_canon_sha256":"dae0f6a0474e0b82c29cb2aa2ce52f836d6027d44c285db9f032a626696c2ee6"},"schema_version":"1.0","source":{"id":"1809.02498","kind":"arxiv","version":1}},"canonical_sha256":"d21f2a2468e957994cf2ab78c264c4a2754aeb916efdce598de2747a7d5d49fd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d21f2a2468e957994cf2ab78c264c4a2754aeb916efdce598de2747a7d5d49fd","first_computed_at":"2026-05-18T00:06:16.939797Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:06:16.939797Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Bq5XTib0Tz0gfylbIWchgsp/FBbNSOHib1iyoHPt1Bkyt9s6Sj7mJtLtjtoWQENcc0HJOwswRz7MwjuSkyTOBw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:06:16.940312Z","signed_message":"canonical_sha256_bytes"},"source_id":"1809.02498","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a9dd456261750adda5bdcfb7d46f58f06d271e8f00cfe097e739f8a165c885fe","sha256:ee263be2c9a05ebea16879098a636cba39400b8b207a990cccb0938896131a62"],"state_sha256":"cd812665104cddb0dfc112d63c4b9c1b4b0e442799bc0a82c5c6fdbbe46d4fc7"}