{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:HJ45EM6CKKH22YEZ75WEVJGIDC","short_pith_number":"pith:HJ45EM6C","schema_version":"1.0","canonical_sha256":"3a79d233c2528fad6099ff6c4aa4c8189ccd8c8e577718e0d4a30e26c30868b2","source":{"kind":"arxiv","id":"2502.15495","version":2},"attestation_state":"computed","paper":{"title":"Convergence rates for the vanishing viscosity approximation of Hamilton-Jacobi equations: the convex case","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Alessandro Goffi, Marco Cirant","submitted_at":"2025-02-21T14:40:43Z","abstract_excerpt":"We study the speed of convergence in $L^\\infty$ norm of the vanishing viscosity process for Hamilton-Jacobi equations with uniformly or strictly convex Hamiltonian terms with superquadratic behavior. Our analysis boosts previous findings on the rate of convergence for this procedure in $L^p$ norms, showing rates in sup-norm of order $\\mathcal{O}(\\epsilon^\\beta)$, $\\beta\\in(1/2,1)$, or $\\mathcal{O}(\\epsilon|\\log\\epsilon|)$ with respect to the vanishing viscosity parameter $\\epsilon$, depending on the regularity of the initial datum of the problem and convexity properties of the Hamiltonian. Our"},"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":"2502.15495","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"math.AP","submitted_at":"2025-02-21T14:40:43Z","cross_cats_sorted":[],"title_canon_sha256":"24bd9d5755a8f97dcc3f89bc490c4135a0e4db8cb7ff39d00a9c1266f506031a","abstract_canon_sha256":"212a3ed828da341ce35bd5765e3ba1efa69fc65e609f5dc4fa86bb1d438903d6"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:41:39.594338Z","signature_b64":"6AWJiWeTp5xJsGsaYNWtXMKtFVr3362FS/34RmvRbOr0yzZt7feOPmxmUxg+i2goekp85mM46EZGAm1LnaaEDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3a79d233c2528fad6099ff6c4aa4c8189ccd8c8e577718e0d4a30e26c30868b2","last_reissued_at":"2026-07-05T11:41:39.593834Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:41:39.593834Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Convergence rates for the vanishing viscosity approximation of Hamilton-Jacobi equations: the convex case","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Alessandro Goffi, Marco Cirant","submitted_at":"2025-02-21T14:40:43Z","abstract_excerpt":"We study the speed of convergence in $L^\\infty$ norm of the vanishing viscosity process for Hamilton-Jacobi equations with uniformly or strictly convex Hamiltonian terms with superquadratic behavior. Our analysis boosts previous findings on the rate of convergence for this procedure in $L^p$ norms, showing rates in sup-norm of order $\\mathcal{O}(\\epsilon^\\beta)$, $\\beta\\in(1/2,1)$, or $\\mathcal{O}(\\epsilon|\\log\\epsilon|)$ with respect to the vanishing viscosity parameter $\\epsilon$, depending on the regularity of the initial datum of the problem and convexity properties of the Hamiltonian. Our"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2502.15495","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2502.15495/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":"2502.15495","created_at":"2026-07-05T11:41:39.593896+00:00"},{"alias_kind":"arxiv_version","alias_value":"2502.15495v2","created_at":"2026-07-05T11:41:39.593896+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2502.15495","created_at":"2026-07-05T11:41:39.593896+00:00"},{"alias_kind":"pith_short_12","alias_value":"HJ45EM6CKKH2","created_at":"2026-07-05T11:41:39.593896+00:00"},{"alias_kind":"pith_short_16","alias_value":"HJ45EM6CKKH22YEZ","created_at":"2026-07-05T11:41:39.593896+00:00"},{"alias_kind":"pith_short_8","alias_value":"HJ45EM6C","created_at":"2026-07-05T11:41:39.593896+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":2,"sample":[{"citing_arxiv_id":"2607.07526","citing_title":"On the rate of the vanishing viscosity approximation for Mean Field Games with nonlocal coupling","ref_index":9,"is_internal_anchor":true},{"citing_arxiv_id":"2607.05186","citing_title":"Convergence Rates for Vanishing Viscosity Approximations of Possibly Degenerate Viscous Hamilton--Jacobi Equations","ref_index":14,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/HJ45EM6CKKH22YEZ75WEVJGIDC","json":"https://pith.science/pith/HJ45EM6CKKH22YEZ75WEVJGIDC.json","graph_json":"https://pith.science/api/pith-number/HJ45EM6CKKH22YEZ75WEVJGIDC/graph.json","events_json":"https://pith.science/api/pith-number/HJ45EM6CKKH22YEZ75WEVJGIDC/events.json","paper":"https://pith.science/paper/HJ45EM6C"},"agent_actions":{"view_html":"https://pith.science/pith/HJ45EM6CKKH22YEZ75WEVJGIDC","download_json":"https://pith.science/pith/HJ45EM6CKKH22YEZ75WEVJGIDC.json","view_paper":"https://pith.science/paper/HJ45EM6C","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2502.15495&json=true","fetch_graph":"https://pith.science/api/pith-number/HJ45EM6CKKH22YEZ75WEVJGIDC/graph.json","fetch_events":"https://pith.science/api/pith-number/HJ45EM6CKKH22YEZ75WEVJGIDC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/HJ45EM6CKKH22YEZ75WEVJGIDC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/HJ45EM6CKKH22YEZ75WEVJGIDC/action/storage_attestation","attest_author":"https://pith.science/pith/HJ45EM6CKKH22YEZ75WEVJGIDC/action/author_attestation","sign_citation":"https://pith.science/pith/HJ45EM6CKKH22YEZ75WEVJGIDC/action/citation_signature","submit_replication":"https://pith.science/pith/HJ45EM6CKKH22YEZ75WEVJGIDC/action/replication_record"}},"created_at":"2026-07-05T11:41:39.593896+00:00","updated_at":"2026-07-05T11:41:39.593896+00:00"}