{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:AMHO4E2PIX7OP4JX4PMDI7CGYP","short_pith_number":"pith:AMHO4E2P","schema_version":"1.0","canonical_sha256":"030eee134f45fee7f137e3d8347c46c3d3f03df19d8c33f337bec86ea25b85e4","source":{"kind":"arxiv","id":"2407.13649","version":3},"attestation_state":"computed","paper":{"title":"On global dynamics of $3$-D irrotational compressible fluids","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Qian Wang","submitted_at":"2024-07-18T16:27:32Z","abstract_excerpt":"We consider global-in-time evolution of irrotational, isentropic, compressible Euler flow in $3$-D, for a broad class of $H^4$ classical Cauchy data without assuming symmetry, prescribed on an annulus surrounded by a constant state in the exterior. By giving a sufficient expansion condition on the initial data and using the nonlinear structure of the compressible Euler equations, we show that the decay rate of the first order transversal derivative of the normalized density is better than that of the same derivative of a free wave, provided that the perturbation arising from the tangential der"},"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":"2407.13649","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2024-07-18T16:27:32Z","cross_cats_sorted":[],"title_canon_sha256":"feeee54a4d2748d1f3096eae2551ccc98207cf3b5327c960fc8ad3f68eca7516","abstract_canon_sha256":"2a1c608b9c190da11e594ecd6eb3c0ed77dcf9f67b8dd6a755d9039ad877f32a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:55:58.754485Z","signature_b64":"k/BG84YY02fAlkuOvcJm3+RaYTCQdh+dZD6zPtoE7SUY3seNGOcq1A9nG25i/MuQK0Bxurfv281vltOXSN+5AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"030eee134f45fee7f137e3d8347c46c3d3f03df19d8c33f337bec86ea25b85e4","last_reissued_at":"2026-07-05T09:55:58.753857Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:55:58.753857Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On global dynamics of $3$-D irrotational compressible fluids","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Qian Wang","submitted_at":"2024-07-18T16:27:32Z","abstract_excerpt":"We consider global-in-time evolution of irrotational, isentropic, compressible Euler flow in $3$-D, for a broad class of $H^4$ classical Cauchy data without assuming symmetry, prescribed on an annulus surrounded by a constant state in the exterior. By giving a sufficient expansion condition on the initial data and using the nonlinear structure of the compressible Euler equations, we show that the decay rate of the first order transversal derivative of the normalized density is better than that of the same derivative of a free wave, provided that the perturbation arising from the tangential der"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2407.13649","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2407.13649/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2407.13649","created_at":"2026-07-05T09:55:58.753945+00:00"},{"alias_kind":"arxiv_version","alias_value":"2407.13649v3","created_at":"2026-07-05T09:55:58.753945+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2407.13649","created_at":"2026-07-05T09:55:58.753945+00:00"},{"alias_kind":"pith_short_12","alias_value":"AMHO4E2PIX7O","created_at":"2026-07-05T09:55:58.753945+00:00"},{"alias_kind":"pith_short_16","alias_value":"AMHO4E2PIX7OP4JX","created_at":"2026-07-05T09:55:58.753945+00:00"},{"alias_kind":"pith_short_8","alias_value":"AMHO4E2P","created_at":"2026-07-05T09:55:58.753945+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2603.14696","citing_title":"Multi-Dimensional Structural Stability of Mixed Riemann Configurations Containing Centered Rarefaction Waves and Surfaces of Discontinuities of Gas Dynamics","ref_index":48,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/AMHO4E2PIX7OP4JX4PMDI7CGYP","json":"https://pith.science/pith/AMHO4E2PIX7OP4JX4PMDI7CGYP.json","graph_json":"https://pith.science/api/pith-number/AMHO4E2PIX7OP4JX4PMDI7CGYP/graph.json","events_json":"https://pith.science/api/pith-number/AMHO4E2PIX7OP4JX4PMDI7CGYP/events.json","paper":"https://pith.science/paper/AMHO4E2P"},"agent_actions":{"view_html":"https://pith.science/pith/AMHO4E2PIX7OP4JX4PMDI7CGYP","download_json":"https://pith.science/pith/AMHO4E2PIX7OP4JX4PMDI7CGYP.json","view_paper":"https://pith.science/paper/AMHO4E2P","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2407.13649&json=true","fetch_graph":"https://pith.science/api/pith-number/AMHO4E2PIX7OP4JX4PMDI7CGYP/graph.json","fetch_events":"https://pith.science/api/pith-number/AMHO4E2PIX7OP4JX4PMDI7CGYP/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/AMHO4E2PIX7OP4JX4PMDI7CGYP/action/timestamp_anchor","attest_storage":"https://pith.science/pith/AMHO4E2PIX7OP4JX4PMDI7CGYP/action/storage_attestation","attest_author":"https://pith.science/pith/AMHO4E2PIX7OP4JX4PMDI7CGYP/action/author_attestation","sign_citation":"https://pith.science/pith/AMHO4E2PIX7OP4JX4PMDI7CGYP/action/citation_signature","submit_replication":"https://pith.science/pith/AMHO4E2PIX7OP4JX4PMDI7CGYP/action/replication_record"}},"created_at":"2026-07-05T09:55:58.753945+00:00","updated_at":"2026-07-05T09:55:58.753945+00:00"}