{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:RVYSYF7W6A3YXGWFPZQUSIQF6J","short_pith_number":"pith:RVYSYF7W","schema_version":"1.0","canonical_sha256":"8d712c17f6f0378b9ac57e61492205f257cdfd7e3947bd6fc662fd03e513908e","source":{"kind":"arxiv","id":"1406.3605","version":1},"attestation_state":"computed","paper":{"title":"Min-max representations of viscosity solutions of Hamilton-Jacobi equations and applications in rare-event simulation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Boualem Djehiche, Henrik Hult, Pierre Nyquist","submitted_at":"2014-06-13T18:38:34Z","abstract_excerpt":"In this paper a duality relation between the Ma\\~{n}\\'e potential and Mather's action functional is derived in the context of convex and state-dependent Hamiltonians. The duality relation is used to obtain min-max representations of viscosity solutions of first order Hamilton-Jacobi equations. These min-max representations naturally suggest class\\-es of subsolutions of Hamilton-Jacobi equations that arise in the theory of large deviations. The subsolutions, in turn, are good candidates for designing efficient rare-event simulation 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":"1406.3605","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-06-13T18:38:34Z","cross_cats_sorted":[],"title_canon_sha256":"30b4d8f0a637451abeff8c551c254897c98e12c47fd62f858d248e6395b5013a","abstract_canon_sha256":"65a837c4104ec702c28ca72be7bc4286e9d920f64502151e162edcc6df69f15f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:49:46.393307Z","signature_b64":"MODbZbuMtkA7cVI6Jm/Yx5RWGVX3V2oYozdJRTrOpXfSphr8wLqQIAp5MxdyzOgek5GBojgYagGuj/Yl+rsYCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8d712c17f6f0378b9ac57e61492205f257cdfd7e3947bd6fc662fd03e513908e","last_reissued_at":"2026-05-18T02:49:46.392974Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:49:46.392974Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Min-max representations of viscosity solutions of Hamilton-Jacobi equations and applications in rare-event simulation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Boualem Djehiche, Henrik Hult, Pierre Nyquist","submitted_at":"2014-06-13T18:38:34Z","abstract_excerpt":"In this paper a duality relation between the Ma\\~{n}\\'e potential and Mather's action functional is derived in the context of convex and state-dependent Hamiltonians. The duality relation is used to obtain min-max representations of viscosity solutions of first order Hamilton-Jacobi equations. These min-max representations naturally suggest class\\-es of subsolutions of Hamilton-Jacobi equations that arise in the theory of large deviations. The subsolutions, in turn, are good candidates for designing efficient rare-event simulation algorithms."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.3605","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":"1406.3605","created_at":"2026-05-18T02:49:46.393026+00:00"},{"alias_kind":"arxiv_version","alias_value":"1406.3605v1","created_at":"2026-05-18T02:49:46.393026+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.3605","created_at":"2026-05-18T02:49:46.393026+00:00"},{"alias_kind":"pith_short_12","alias_value":"RVYSYF7W6A3Y","created_at":"2026-05-18T12:28:46.137349+00:00"},{"alias_kind":"pith_short_16","alias_value":"RVYSYF7W6A3YXGWF","created_at":"2026-05-18T12:28:46.137349+00:00"},{"alias_kind":"pith_short_8","alias_value":"RVYSYF7W","created_at":"2026-05-18T12:28:46.137349+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/RVYSYF7W6A3YXGWFPZQUSIQF6J","json":"https://pith.science/pith/RVYSYF7W6A3YXGWFPZQUSIQF6J.json","graph_json":"https://pith.science/api/pith-number/RVYSYF7W6A3YXGWFPZQUSIQF6J/graph.json","events_json":"https://pith.science/api/pith-number/RVYSYF7W6A3YXGWFPZQUSIQF6J/events.json","paper":"https://pith.science/paper/RVYSYF7W"},"agent_actions":{"view_html":"https://pith.science/pith/RVYSYF7W6A3YXGWFPZQUSIQF6J","download_json":"https://pith.science/pith/RVYSYF7W6A3YXGWFPZQUSIQF6J.json","view_paper":"https://pith.science/paper/RVYSYF7W","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1406.3605&json=true","fetch_graph":"https://pith.science/api/pith-number/RVYSYF7W6A3YXGWFPZQUSIQF6J/graph.json","fetch_events":"https://pith.science/api/pith-number/RVYSYF7W6A3YXGWFPZQUSIQF6J/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/RVYSYF7W6A3YXGWFPZQUSIQF6J/action/timestamp_anchor","attest_storage":"https://pith.science/pith/RVYSYF7W6A3YXGWFPZQUSIQF6J/action/storage_attestation","attest_author":"https://pith.science/pith/RVYSYF7W6A3YXGWFPZQUSIQF6J/action/author_attestation","sign_citation":"https://pith.science/pith/RVYSYF7W6A3YXGWFPZQUSIQF6J/action/citation_signature","submit_replication":"https://pith.science/pith/RVYSYF7W6A3YXGWFPZQUSIQF6J/action/replication_record"}},"created_at":"2026-05-18T02:49:46.393026+00:00","updated_at":"2026-05-18T02:49:46.393026+00:00"}