{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:3PRROE2WQ5TL3X35TULLHG5DPO","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":"3a96645cd4fdfad929dd8f3a4cc90a8bf93d45741c2efa9773134b1ad98c9a71","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-12-06T13:10:25Z","title_canon_sha256":"eebae9b05ce45fd92671604c6e3d35717711b123bdd07072b57ac8db8a1180b6"},"schema_version":"1.0","source":{"id":"1512.01788","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1512.01788","created_at":"2026-05-18T01:23:44Z"},{"alias_kind":"arxiv_version","alias_value":"1512.01788v2","created_at":"2026-05-18T01:23:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.01788","created_at":"2026-05-18T01:23:44Z"},{"alias_kind":"pith_short_12","alias_value":"3PRROE2WQ5TL","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_16","alias_value":"3PRROE2WQ5TL3X35","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_8","alias_value":"3PRROE2W","created_at":"2026-05-18T12:29:02Z"}],"graph_snapshots":[{"event_id":"sha256:97d676995f55ff32dbfafc0d116d81a6813e7ce3c71f3ddc1b81abdd906c97a6","target":"graph","created_at":"2026-05-18T01:23:44Z","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":"In this paper, we are concerned with the system of the non-isentropic compressible Navier-Stokes equations coupled with the Maxwell equations through the Lorentz force in three space dimensions. The global existence of solutions near constant steady states is established, and the time-decay rates of perturbed solutions are obtained. The proof for existence is due to the classical energy method, and the investigation of large-time behavior is based on the linearized analysis of the non-isentropic Navier-Stokes-Poisson equations and the electromagnetic part for the linearized isentropic Navier-S","authors_text":"Qingqing liu, Yifan Su","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-12-06T13:10:25Z","title":"Large time behavior for the non-isentropic Navier-Stokes-Maxwell system"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.01788","kind":"arxiv","version":2},"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:d2a9d74fa6865bf1fbad3f108cc8ca09b30236a6485ee80286d5e7df555c2c37","target":"record","created_at":"2026-05-18T01:23:44Z","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":"3a96645cd4fdfad929dd8f3a4cc90a8bf93d45741c2efa9773134b1ad98c9a71","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-12-06T13:10:25Z","title_canon_sha256":"eebae9b05ce45fd92671604c6e3d35717711b123bdd07072b57ac8db8a1180b6"},"schema_version":"1.0","source":{"id":"1512.01788","kind":"arxiv","version":2}},"canonical_sha256":"dbe31713568766bddf7d9d16b39ba37bbf08b44063fe2c88c73817fc233a7b4d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dbe31713568766bddf7d9d16b39ba37bbf08b44063fe2c88c73817fc233a7b4d","first_computed_at":"2026-05-18T01:23:44.079058Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:23:44.079058Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9Yi6OPN8lWGpcqBZSkLECmeLuL4jrCdKdiAlY6gB2RQZktpWGHXGWSMnrLryT/2NiEhn6fHlEQIKwp16GVeYCA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:23:44.079871Z","signed_message":"canonical_sha256_bytes"},"source_id":"1512.01788","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d2a9d74fa6865bf1fbad3f108cc8ca09b30236a6485ee80286d5e7df555c2c37","sha256:97d676995f55ff32dbfafc0d116d81a6813e7ce3c71f3ddc1b81abdd906c97a6"],"state_sha256":"f7abcd90cb430363fe21dd6918faf9397b09ff8498325bbd8cf793e539d06d2b"}