{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:27QKJG7DAGCI65RNTE3MUHYXTH","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":"37ea62832d41767fc888a6d55982d5bdfd4955ada4478a5f6cb8a4193d5e8af6","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2019-09-05T17:42:45Z","title_canon_sha256":"0c3ea96c6d20fbaebe181dba46fafc253fba03c5f22a2ad8a348feab3d9a8080"},"schema_version":"1.0","source":{"id":"1909.02550","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1909.02550","created_at":"2026-07-05T04:55:14Z"},{"alias_kind":"arxiv_version","alias_value":"1909.02550v2","created_at":"2026-07-05T04:55:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1909.02550","created_at":"2026-07-05T04:55:14Z"},{"alias_kind":"pith_short_12","alias_value":"27QKJG7DAGCI","created_at":"2026-07-05T04:55:14Z"},{"alias_kind":"pith_short_16","alias_value":"27QKJG7DAGCI65RN","created_at":"2026-07-05T04:55:14Z"},{"alias_kind":"pith_short_8","alias_value":"27QKJG7D","created_at":"2026-07-05T04:55:14Z"}],"graph_snapshots":[{"event_id":"sha256:c749159baa577ec6733e647eaf317607ed9fbf5b2b046ce8a34d79ff899b80a0","target":"graph","created_at":"2026-07-05T04:55:14Z","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/1909.02550/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We prove a series of results tied to the regularity and geometry of solutions to the $3D$ compressible Euler equations with vorticity and entropy. Our framework exploits and reveals additional virtues of a recent new formulation of the equations, which decomposed the flow into a geometric \"(sound) wave-part\" coupled to a \"transport-div-curl-part\" (transport-part for short), with both parts exhibiting remarkable properties. Our main result is that the time of existence can be controlled in terms of the $H^{2^+}(\\mathbb{R}^3)$-norm of the wave-part of the initial data and various Sobolev and H\\\"","authors_text":"Chenyun Luo, Giusy Mazzone, Jared Speck, Marcelo M. Disconzi","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2019-09-05T17:42:45Z","title":"Rough sound waves in $3D$ compressible Euler flow with vorticity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1909.02550","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:ed8bd87921cde34e548b343e467cab131c16cff53a74430af0b7ac49bd731fa3","target":"record","created_at":"2026-07-05T04:55:14Z","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":"37ea62832d41767fc888a6d55982d5bdfd4955ada4478a5f6cb8a4193d5e8af6","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2019-09-05T17:42:45Z","title_canon_sha256":"0c3ea96c6d20fbaebe181dba46fafc253fba03c5f22a2ad8a348feab3d9a8080"},"schema_version":"1.0","source":{"id":"1909.02550","kind":"arxiv","version":2}},"canonical_sha256":"d7e0a49be301848f762d9936ca1f1799c2111ddeea93e9cdade1243d6d582a22","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d7e0a49be301848f762d9936ca1f1799c2111ddeea93e9cdade1243d6d582a22","first_computed_at":"2026-07-05T04:55:14.308776Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:55:14.308776Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XeC2c19XY2qmNrL+RKWpQORH8wsxv1eNGpjGcEF/vyiVUI/ES7vpSEqixXWj8elJ38+7jV2itiM1RsEaQpW9Aw==","signature_status":"signed_v1","signed_at":"2026-07-05T04:55:14.309193Z","signed_message":"canonical_sha256_bytes"},"source_id":"1909.02550","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ed8bd87921cde34e548b343e467cab131c16cff53a74430af0b7ac49bd731fa3","sha256:c749159baa577ec6733e647eaf317607ed9fbf5b2b046ce8a34d79ff899b80a0"],"state_sha256":"f62ebe5b35ce21b3cd152346793a6b69300e13f2a8befcbf9317290ff3d14a46"}