{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:HFP5MYVJ6ZNKBYEV7CKQWLLPOO","short_pith_number":"pith:HFP5MYVJ","schema_version":"1.0","canonical_sha256":"395fd662a9f65aa0e095f8950b2d6f73847ad4289984d9d06185cf39915135b5","source":{"kind":"arxiv","id":"1712.07348","version":2},"attestation_state":"computed","paper":{"title":"Contraction property for large perturbations of shocks of the barotropic Navier-Stokes system","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Alexis Vasseur, Moon-Jin Kang","submitted_at":"2017-12-20T07:41:37Z","abstract_excerpt":"This paper is dedicated to the construction of a pseudo-norm, for which small shock profiles of the barotropic Navier-Stokes equation have a contraction property. This contraction property holds in the class of any large 1D weak solutions to the barotropic Navier-Stokes equation. It implies a stability condition which is independent of the strength of the viscosity. The proof is based on the relative entropy method, and is reminiscent to the notion of a-contraction first introduced by the authors in the hyperbolic case."},"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":"1712.07348","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-12-20T07:41:37Z","cross_cats_sorted":[],"title_canon_sha256":"72d81a5e87c2699add14bc9f5eee7d192ba739568ec0b502b6d4c649f315d6ff","abstract_canon_sha256":"c38f400376748b05fa160daa8e1e9155366bcb62b09ed7bc09d3c4ff346f4895"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:56:34.266328Z","signature_b64":"Zs92r3FipPu9sB0a0edyEhYT9+T27qSmjYjAH1KxasgrTdn9Gr5PG/J3OOP0dJLijwWsN7CnIrZtmE8c8JN9AQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"395fd662a9f65aa0e095f8950b2d6f73847ad4289984d9d06185cf39915135b5","last_reissued_at":"2026-05-17T23:56:34.265755Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:56:34.265755Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Contraction property for large perturbations of shocks of the barotropic Navier-Stokes system","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Alexis Vasseur, Moon-Jin Kang","submitted_at":"2017-12-20T07:41:37Z","abstract_excerpt":"This paper is dedicated to the construction of a pseudo-norm, for which small shock profiles of the barotropic Navier-Stokes equation have a contraction property. This contraction property holds in the class of any large 1D weak solutions to the barotropic Navier-Stokes equation. It implies a stability condition which is independent of the strength of the viscosity. The proof is based on the relative entropy method, and is reminiscent to the notion of a-contraction first introduced by the authors in the hyperbolic case."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.07348","kind":"arxiv","version":2},"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":"1712.07348","created_at":"2026-05-17T23:56:34.265891+00:00"},{"alias_kind":"arxiv_version","alias_value":"1712.07348v2","created_at":"2026-05-17T23:56:34.265891+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.07348","created_at":"2026-05-17T23:56:34.265891+00:00"},{"alias_kind":"pith_short_12","alias_value":"HFP5MYVJ6ZNK","created_at":"2026-05-18T12:31:18.294218+00:00"},{"alias_kind":"pith_short_16","alias_value":"HFP5MYVJ6ZNKBYEV","created_at":"2026-05-18T12:31:18.294218+00:00"},{"alias_kind":"pith_short_8","alias_value":"HFP5MYVJ","created_at":"2026-05-18T12:31:18.294218+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"1908.01632","citing_title":"Inviscid limit to the shock waves for the fractal Burgers equation","ref_index":13,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/HFP5MYVJ6ZNKBYEV7CKQWLLPOO","json":"https://pith.science/pith/HFP5MYVJ6ZNKBYEV7CKQWLLPOO.json","graph_json":"https://pith.science/api/pith-number/HFP5MYVJ6ZNKBYEV7CKQWLLPOO/graph.json","events_json":"https://pith.science/api/pith-number/HFP5MYVJ6ZNKBYEV7CKQWLLPOO/events.json","paper":"https://pith.science/paper/HFP5MYVJ"},"agent_actions":{"view_html":"https://pith.science/pith/HFP5MYVJ6ZNKBYEV7CKQWLLPOO","download_json":"https://pith.science/pith/HFP5MYVJ6ZNKBYEV7CKQWLLPOO.json","view_paper":"https://pith.science/paper/HFP5MYVJ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1712.07348&json=true","fetch_graph":"https://pith.science/api/pith-number/HFP5MYVJ6ZNKBYEV7CKQWLLPOO/graph.json","fetch_events":"https://pith.science/api/pith-number/HFP5MYVJ6ZNKBYEV7CKQWLLPOO/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/HFP5MYVJ6ZNKBYEV7CKQWLLPOO/action/timestamp_anchor","attest_storage":"https://pith.science/pith/HFP5MYVJ6ZNKBYEV7CKQWLLPOO/action/storage_attestation","attest_author":"https://pith.science/pith/HFP5MYVJ6ZNKBYEV7CKQWLLPOO/action/author_attestation","sign_citation":"https://pith.science/pith/HFP5MYVJ6ZNKBYEV7CKQWLLPOO/action/citation_signature","submit_replication":"https://pith.science/pith/HFP5MYVJ6ZNKBYEV7CKQWLLPOO/action/replication_record"}},"created_at":"2026-05-17T23:56:34.265891+00:00","updated_at":"2026-05-17T23:56:34.265891+00:00"}