{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:5EJ6ECAF527CVAMB445UEHM7W4","short_pith_number":"pith:5EJ6ECAF","schema_version":"1.0","canonical_sha256":"e913e20805eebe2a8181e73b421d9fb73025f382395aedb5eb9bf65d550045a4","source":{"kind":"arxiv","id":"1110.6073","version":1},"attestation_state":"computed","paper":{"title":"Global solutions of a radiative and reactive gas with self-gravitation for higher-order kinetics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Xulong Qin, Zheng-an Yao","submitted_at":"2011-10-27T13:18:12Z","abstract_excerpt":"The existence of global solutions is established for compressible Navier-Stokes equations by taking into account the radiative and reactive processes, when the heat conductivity $\\kappa$ ($\\kappa_1(1+\\theta^q)\\leq\\kappa\\leq \\kappa_2(1+\\theta^q),q\\geq 0$), where $\\theta$ is temperature. This improves the previous results by enlarging the scope of $q$ including the constant heat conductivity."},"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":"1110.6073","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2011-10-27T13:18:12Z","cross_cats_sorted":[],"title_canon_sha256":"c3148ec356cd20fe9298662a83de06a7179f638bc6a0213616fef0dce5b403bf","abstract_canon_sha256":"6d6b4c9cd9be579a07636e5a9d51e1d0b739e967d9de9712b2f71a403d742d85"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:10:09.751575Z","signature_b64":"D6NHLhUKbPHl+BvN/UJ4qRMu9TuHkQ+eaXmkGFCEm1R1metfCO0cL/9JuSONZ8LjrKGJikGNzffyzxKzhcPOAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e913e20805eebe2a8181e73b421d9fb73025f382395aedb5eb9bf65d550045a4","last_reissued_at":"2026-05-18T04:10:09.750733Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:10:09.750733Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Global solutions of a radiative and reactive gas with self-gravitation for higher-order kinetics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Xulong Qin, Zheng-an Yao","submitted_at":"2011-10-27T13:18:12Z","abstract_excerpt":"The existence of global solutions is established for compressible Navier-Stokes equations by taking into account the radiative and reactive processes, when the heat conductivity $\\kappa$ ($\\kappa_1(1+\\theta^q)\\leq\\kappa\\leq \\kappa_2(1+\\theta^q),q\\geq 0$), where $\\theta$ is temperature. This improves the previous results by enlarging the scope of $q$ including the constant heat conductivity."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.6073","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":"1110.6073","created_at":"2026-05-18T04:10:09.750858+00:00"},{"alias_kind":"arxiv_version","alias_value":"1110.6073v1","created_at":"2026-05-18T04:10:09.750858+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.6073","created_at":"2026-05-18T04:10:09.750858+00:00"},{"alias_kind":"pith_short_12","alias_value":"5EJ6ECAF527C","created_at":"2026-05-18T12:26:20.644004+00:00"},{"alias_kind":"pith_short_16","alias_value":"5EJ6ECAF527CVAMB","created_at":"2026-05-18T12:26:20.644004+00:00"},{"alias_kind":"pith_short_8","alias_value":"5EJ6ECAF","created_at":"2026-05-18T12:26:20.644004+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/5EJ6ECAF527CVAMB445UEHM7W4","json":"https://pith.science/pith/5EJ6ECAF527CVAMB445UEHM7W4.json","graph_json":"https://pith.science/api/pith-number/5EJ6ECAF527CVAMB445UEHM7W4/graph.json","events_json":"https://pith.science/api/pith-number/5EJ6ECAF527CVAMB445UEHM7W4/events.json","paper":"https://pith.science/paper/5EJ6ECAF"},"agent_actions":{"view_html":"https://pith.science/pith/5EJ6ECAF527CVAMB445UEHM7W4","download_json":"https://pith.science/pith/5EJ6ECAF527CVAMB445UEHM7W4.json","view_paper":"https://pith.science/paper/5EJ6ECAF","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1110.6073&json=true","fetch_graph":"https://pith.science/api/pith-number/5EJ6ECAF527CVAMB445UEHM7W4/graph.json","fetch_events":"https://pith.science/api/pith-number/5EJ6ECAF527CVAMB445UEHM7W4/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/5EJ6ECAF527CVAMB445UEHM7W4/action/timestamp_anchor","attest_storage":"https://pith.science/pith/5EJ6ECAF527CVAMB445UEHM7W4/action/storage_attestation","attest_author":"https://pith.science/pith/5EJ6ECAF527CVAMB445UEHM7W4/action/author_attestation","sign_citation":"https://pith.science/pith/5EJ6ECAF527CVAMB445UEHM7W4/action/citation_signature","submit_replication":"https://pith.science/pith/5EJ6ECAF527CVAMB445UEHM7W4/action/replication_record"}},"created_at":"2026-05-18T04:10:09.750858+00:00","updated_at":"2026-05-18T04:10:09.750858+00:00"}