{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:QJQQ6PWPHHOZZ6FVF35MVRG5BK","short_pith_number":"pith:QJQQ6PWP","schema_version":"1.0","canonical_sha256":"82610f3ecf39dd9cf8b52efacac4dd0ab17d206f9ec1efa8817bedc8d12f4840","source":{"kind":"arxiv","id":"1301.0194","version":1},"attestation_state":"computed","paper":{"title":"A comparison among various notions of viscosity solutions for Hamilton-Jacobi equations on networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.OC"],"primary_cat":"math.AP","authors_text":"Claudio Marchi, Fabio Camilli","submitted_at":"2013-01-02T09:24:20Z","abstract_excerpt":"Three definitions of viscosity solutions for Hamilton-Jacobi equations on networks recently appeared in literature ([1,4,6]). Being motivated by various applications, they appear to be considerably different. Aim of this note is to establish their equivalence."},"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":"1301.0194","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-01-02T09:24:20Z","cross_cats_sorted":["math.OC"],"title_canon_sha256":"5df59734e0317e93c3c343d83ed2e023bf448d81751aa690232419e72198d123","abstract_canon_sha256":"24c27a6fbe2e64b423691d2eb8cf66294a752c5cd23d5ac808ca44b82f8c455f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:37:27.954127Z","signature_b64":"vZX/yx2hkC32peHyCCUV9q/4SKIDFi80VDgwgKNDMMbO9K48d85TzZgdFKDLpBNmcAS3k6qOjUEzh/WpZ+/EBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"82610f3ecf39dd9cf8b52efacac4dd0ab17d206f9ec1efa8817bedc8d12f4840","last_reissued_at":"2026-05-18T03:37:27.953541Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:37:27.953541Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A comparison among various notions of viscosity solutions for Hamilton-Jacobi equations on networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.OC"],"primary_cat":"math.AP","authors_text":"Claudio Marchi, Fabio Camilli","submitted_at":"2013-01-02T09:24:20Z","abstract_excerpt":"Three definitions of viscosity solutions for Hamilton-Jacobi equations on networks recently appeared in literature ([1,4,6]). Being motivated by various applications, they appear to be considerably different. Aim of this note is to establish their equivalence."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.0194","kind":"arxiv","version":1},"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":"1301.0194","created_at":"2026-05-18T03:37:27.953645+00:00"},{"alias_kind":"arxiv_version","alias_value":"1301.0194v1","created_at":"2026-05-18T03:37:27.953645+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.0194","created_at":"2026-05-18T03:37:27.953645+00:00"},{"alias_kind":"pith_short_12","alias_value":"QJQQ6PWPHHOZ","created_at":"2026-05-18T12:27:57.521954+00:00"},{"alias_kind":"pith_short_16","alias_value":"QJQQ6PWPHHOZZ6FV","created_at":"2026-05-18T12:27:57.521954+00:00"},{"alias_kind":"pith_short_8","alias_value":"QJQQ6PWP","created_at":"2026-05-18T12:27:57.521954+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/QJQQ6PWPHHOZZ6FVF35MVRG5BK","json":"https://pith.science/pith/QJQQ6PWPHHOZZ6FVF35MVRG5BK.json","graph_json":"https://pith.science/api/pith-number/QJQQ6PWPHHOZZ6FVF35MVRG5BK/graph.json","events_json":"https://pith.science/api/pith-number/QJQQ6PWPHHOZZ6FVF35MVRG5BK/events.json","paper":"https://pith.science/paper/QJQQ6PWP"},"agent_actions":{"view_html":"https://pith.science/pith/QJQQ6PWPHHOZZ6FVF35MVRG5BK","download_json":"https://pith.science/pith/QJQQ6PWPHHOZZ6FVF35MVRG5BK.json","view_paper":"https://pith.science/paper/QJQQ6PWP","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1301.0194&json=true","fetch_graph":"https://pith.science/api/pith-number/QJQQ6PWPHHOZZ6FVF35MVRG5BK/graph.json","fetch_events":"https://pith.science/api/pith-number/QJQQ6PWPHHOZZ6FVF35MVRG5BK/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QJQQ6PWPHHOZZ6FVF35MVRG5BK/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QJQQ6PWPHHOZZ6FVF35MVRG5BK/action/storage_attestation","attest_author":"https://pith.science/pith/QJQQ6PWPHHOZZ6FVF35MVRG5BK/action/author_attestation","sign_citation":"https://pith.science/pith/QJQQ6PWPHHOZZ6FVF35MVRG5BK/action/citation_signature","submit_replication":"https://pith.science/pith/QJQQ6PWPHHOZZ6FVF35MVRG5BK/action/replication_record"}},"created_at":"2026-05-18T03:37:27.953645+00:00","updated_at":"2026-05-18T03:37:27.953645+00:00"}