{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:EWIPA33JG6ZAODRAJ6OXW65KOW","short_pith_number":"pith:EWIPA33J","schema_version":"1.0","canonical_sha256":"2590f06f6937b2070e204f9d7b7baa7581593ff256a1a1388924c8e2a709637e","source":{"kind":"arxiv","id":"2502.20993","version":2},"attestation_state":"computed","paper":{"title":"Numerical Approximation of the Critical Value of Eikonal Hamilton-Jacobi Equations on Networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA","math.AP"],"primary_cat":"math.NA","authors_text":"Marco Pozza, Valentina Coscetti","submitted_at":"2025-02-28T12:27:35Z","abstract_excerpt":"The critical value of an eikonal equation is the unique value of a parameter for which the equation admits solutions and is deeply related to the effective Hamiltonian of a corresponding homogenization problem. We study approximation strategies for the critical value of eikonal equations posed on networks. They are based on the large time behavior of corresponding time-dependent Hamilton-Jacobi equations. We provide error estimates and some numerical tests, showing the performance and the convergence properties of the proposed algorithms."},"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":"2502.20993","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2025-02-28T12:27:35Z","cross_cats_sorted":["cs.NA","math.AP"],"title_canon_sha256":"9064ad0903a1fc96707d30cdccb3b8d5c0175145ab4364abd0251b89de9f7cd2","abstract_canon_sha256":"c3f81ddc6f0c9548ba2fde5fa4beecc63cacf337f6172d6df08b3c4e438e58c8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-09T02:07:02.432580Z","signature_b64":"xtU7MCRnxB2k3cLMOdv5SAlgXR/U4UPPn8Ymq1QDux0XoevcQZgZN9Eb1fZJ4Thws1sLCTe1EVwrUIw+7AhCCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2590f06f6937b2070e204f9d7b7baa7581593ff256a1a1388924c8e2a709637e","last_reissued_at":"2026-06-09T02:07:02.431526Z","signature_status":"signed_v1","first_computed_at":"2026-06-09T02:07:02.431526Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Numerical Approximation of the Critical Value of Eikonal Hamilton-Jacobi Equations on Networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA","math.AP"],"primary_cat":"math.NA","authors_text":"Marco Pozza, Valentina Coscetti","submitted_at":"2025-02-28T12:27:35Z","abstract_excerpt":"The critical value of an eikonal equation is the unique value of a parameter for which the equation admits solutions and is deeply related to the effective Hamiltonian of a corresponding homogenization problem. We study approximation strategies for the critical value of eikonal equations posed on networks. They are based on the large time behavior of corresponding time-dependent Hamilton-Jacobi equations. We provide error estimates and some numerical tests, showing the performance and the convergence properties of the proposed algorithms."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2502.20993","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/2502.20993/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":"2502.20993","created_at":"2026-06-09T02:07:02.431675+00:00"},{"alias_kind":"arxiv_version","alias_value":"2502.20993v2","created_at":"2026-06-09T02:07:02.431675+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2502.20993","created_at":"2026-06-09T02:07:02.431675+00:00"},{"alias_kind":"pith_short_12","alias_value":"EWIPA33JG6ZA","created_at":"2026-06-09T02:07:02.431675+00:00"},{"alias_kind":"pith_short_16","alias_value":"EWIPA33JG6ZAODRA","created_at":"2026-06-09T02:07:02.431675+00:00"},{"alias_kind":"pith_short_8","alias_value":"EWIPA33J","created_at":"2026-06-09T02:07:02.431675+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/EWIPA33JG6ZAODRAJ6OXW65KOW","json":"https://pith.science/pith/EWIPA33JG6ZAODRAJ6OXW65KOW.json","graph_json":"https://pith.science/api/pith-number/EWIPA33JG6ZAODRAJ6OXW65KOW/graph.json","events_json":"https://pith.science/api/pith-number/EWIPA33JG6ZAODRAJ6OXW65KOW/events.json","paper":"https://pith.science/paper/EWIPA33J"},"agent_actions":{"view_html":"https://pith.science/pith/EWIPA33JG6ZAODRAJ6OXW65KOW","download_json":"https://pith.science/pith/EWIPA33JG6ZAODRAJ6OXW65KOW.json","view_paper":"https://pith.science/paper/EWIPA33J","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2502.20993&json=true","fetch_graph":"https://pith.science/api/pith-number/EWIPA33JG6ZAODRAJ6OXW65KOW/graph.json","fetch_events":"https://pith.science/api/pith-number/EWIPA33JG6ZAODRAJ6OXW65KOW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/EWIPA33JG6ZAODRAJ6OXW65KOW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/EWIPA33JG6ZAODRAJ6OXW65KOW/action/storage_attestation","attest_author":"https://pith.science/pith/EWIPA33JG6ZAODRAJ6OXW65KOW/action/author_attestation","sign_citation":"https://pith.science/pith/EWIPA33JG6ZAODRAJ6OXW65KOW/action/citation_signature","submit_replication":"https://pith.science/pith/EWIPA33JG6ZAODRAJ6OXW65KOW/action/replication_record"}},"created_at":"2026-06-09T02:07:02.431675+00:00","updated_at":"2026-06-09T02:07:02.431675+00:00"}