{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:WDYC3EPCTC7FI3JV2ZZQFY5B4A","short_pith_number":"pith:WDYC3EPC","schema_version":"1.0","canonical_sha256":"b0f02d91e298be546d35d67302e3a1e0033c97c7e5c06f3c0283edb0294e7040","source":{"kind":"arxiv","id":"1203.5666","version":5},"attestation_state":"computed","paper":{"title":"The Viability Property for Path-dependent SDE under Open Constraints","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Liangquan Zhang","submitted_at":"2012-03-26T13:54:20Z","abstract_excerpt":"In this note, we study the viability of a bounded open domain in $\\mathbb{R}% ^{n}$ for a process driven by a path-dependent stochastic differential equation with Lipschitz data. We extend an invariant result of Cannarsa, Da. Prato and Frankowska [\\textit{Indiana Univ. Math. J.} \\textbf{59} (2010) 53-78] to a non-Markovian setting."},"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":"1203.5666","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2012-03-26T13:54:20Z","cross_cats_sorted":[],"title_canon_sha256":"86b027ca030c483d1f7a08461abdd8c04eac928dc6a3eb823ddc76551fd4b15b","abstract_canon_sha256":"c26ab965f73d422c16144f279bfdb5e443c62699d9a8d7d274b15e35f6c49fb0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:59:59.319534Z","signature_b64":"9CaBw3CLwGFUGkeHUIEPscvG8KhyMcTIH87jXFGs8coG6t56MJ9JeaRvzdQv7j/T8xTyrdzF6UIoAhgDuaNUDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b0f02d91e298be546d35d67302e3a1e0033c97c7e5c06f3c0283edb0294e7040","last_reissued_at":"2026-05-18T01:59:59.318986Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:59:59.318986Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Viability Property for Path-dependent SDE under Open Constraints","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Liangquan Zhang","submitted_at":"2012-03-26T13:54:20Z","abstract_excerpt":"In this note, we study the viability of a bounded open domain in $\\mathbb{R}% ^{n}$ for a process driven by a path-dependent stochastic differential equation with Lipschitz data. We extend an invariant result of Cannarsa, Da. Prato and Frankowska [\\textit{Indiana Univ. Math. J.} \\textbf{59} (2010) 53-78] to a non-Markovian setting."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.5666","kind":"arxiv","version":5},"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":"1203.5666","created_at":"2026-05-18T01:59:59.319076+00:00"},{"alias_kind":"arxiv_version","alias_value":"1203.5666v5","created_at":"2026-05-18T01:59:59.319076+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1203.5666","created_at":"2026-05-18T01:59:59.319076+00:00"},{"alias_kind":"pith_short_12","alias_value":"WDYC3EPCTC7F","created_at":"2026-05-18T12:27:25.539911+00:00"},{"alias_kind":"pith_short_16","alias_value":"WDYC3EPCTC7FI3JV","created_at":"2026-05-18T12:27:25.539911+00:00"},{"alias_kind":"pith_short_8","alias_value":"WDYC3EPC","created_at":"2026-05-18T12:27:25.539911+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/WDYC3EPCTC7FI3JV2ZZQFY5B4A","json":"https://pith.science/pith/WDYC3EPCTC7FI3JV2ZZQFY5B4A.json","graph_json":"https://pith.science/api/pith-number/WDYC3EPCTC7FI3JV2ZZQFY5B4A/graph.json","events_json":"https://pith.science/api/pith-number/WDYC3EPCTC7FI3JV2ZZQFY5B4A/events.json","paper":"https://pith.science/paper/WDYC3EPC"},"agent_actions":{"view_html":"https://pith.science/pith/WDYC3EPCTC7FI3JV2ZZQFY5B4A","download_json":"https://pith.science/pith/WDYC3EPCTC7FI3JV2ZZQFY5B4A.json","view_paper":"https://pith.science/paper/WDYC3EPC","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1203.5666&json=true","fetch_graph":"https://pith.science/api/pith-number/WDYC3EPCTC7FI3JV2ZZQFY5B4A/graph.json","fetch_events":"https://pith.science/api/pith-number/WDYC3EPCTC7FI3JV2ZZQFY5B4A/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/WDYC3EPCTC7FI3JV2ZZQFY5B4A/action/timestamp_anchor","attest_storage":"https://pith.science/pith/WDYC3EPCTC7FI3JV2ZZQFY5B4A/action/storage_attestation","attest_author":"https://pith.science/pith/WDYC3EPCTC7FI3JV2ZZQFY5B4A/action/author_attestation","sign_citation":"https://pith.science/pith/WDYC3EPCTC7FI3JV2ZZQFY5B4A/action/citation_signature","submit_replication":"https://pith.science/pith/WDYC3EPCTC7FI3JV2ZZQFY5B4A/action/replication_record"}},"created_at":"2026-05-18T01:59:59.319076+00:00","updated_at":"2026-05-18T01:59:59.319076+00:00"}