{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:P6HH2NZPHROW7H3ZIORFUCZ554","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":"9b2681ad3ef4349d9978037f208d4040fdff9c4f7dab1d1d4149ca5a439ae417","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2023-03-22T13:26:12Z","title_canon_sha256":"4dad09aa61e005d54045eae62cae3b0ea8e4a25d6934d3e01a9b886128285cd0"},"schema_version":"1.0","source":{"id":"2303.12550","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2303.12550","created_at":"2026-07-05T05:53:42Z"},{"alias_kind":"arxiv_version","alias_value":"2303.12550v1","created_at":"2026-07-05T05:53:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2303.12550","created_at":"2026-07-05T05:53:42Z"},{"alias_kind":"pith_short_12","alias_value":"P6HH2NZPHROW","created_at":"2026-07-05T05:53:42Z"},{"alias_kind":"pith_short_16","alias_value":"P6HH2NZPHROW7H3Z","created_at":"2026-07-05T05:53:42Z"},{"alias_kind":"pith_short_8","alias_value":"P6HH2NZP","created_at":"2026-07-05T05:53:42Z"}],"graph_snapshots":[{"event_id":"sha256:1da400267460abf4eaba2ca7cb636baebc06c37ffd99104a89cac3c6df85201e","target":"graph","created_at":"2026-07-05T05:53:42Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2303.12550/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The uniqueness of entropy solution for the compressible Euler equations is a fundamental and challenging problem. In this paper, the uniqueness of a composite wave of shock and rarefaction of 1-d compressible Euler equations is proved in the inviscid limit of compressible Navier-Stokes equations. Moreover, the relative entropy around the original Riemann solution consisting of shock and rarefaction under the large perturbation is shown to be uniformly bounded by the framework developed in \\cite{Kang-Vasseur-2021-Invent}. The proof contains two new ingredients: 1) a cut-off technique and the ex","authors_text":"Feimin Huang, Weiqiang Wang, Yi Wang, Yong Wang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2023-03-22T13:26:12Z","title":"Uniqueness of composite wave of shock and rarefaction in the inviscid limit of Navier-Stokes equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2303.12550","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":"sha256:8797f619a8611ee597e8b19f8494988011f4177d7c97a7cbb8cfe9b9b951099e","target":"record","created_at":"2026-07-05T05:53:42Z","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":"9b2681ad3ef4349d9978037f208d4040fdff9c4f7dab1d1d4149ca5a439ae417","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2023-03-22T13:26:12Z","title_canon_sha256":"4dad09aa61e005d54045eae62cae3b0ea8e4a25d6934d3e01a9b886128285cd0"},"schema_version":"1.0","source":{"id":"2303.12550","kind":"arxiv","version":1}},"canonical_sha256":"7f8e7d372f3c5d6f9f7943a25a0b3def2f2dfc0c1e1e11c6e984489920b507be","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7f8e7d372f3c5d6f9f7943a25a0b3def2f2dfc0c1e1e11c6e984489920b507be","first_computed_at":"2026-07-05T05:53:42.823651Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:53:42.823651Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"oYYxMv7soc4jDOKCft+cgHSPsz4G1HxCzCO19kVMDOV/+9QPPTa6tAIZdpeB5PFUInPTvpEWYroc/pI2T04EBw==","signature_status":"signed_v1","signed_at":"2026-07-05T05:53:42.824019Z","signed_message":"canonical_sha256_bytes"},"source_id":"2303.12550","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8797f619a8611ee597e8b19f8494988011f4177d7c97a7cbb8cfe9b9b951099e","sha256:1da400267460abf4eaba2ca7cb636baebc06c37ffd99104a89cac3c6df85201e"],"state_sha256":"7112f04ca29a03b63e199948bed2767606899ceef02aafd1985c384aece0cfbb"}