{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:SQYN5QLTMPTPVNJA6KAYQCXO7J","short_pith_number":"pith:SQYN5QLT","schema_version":"1.0","canonical_sha256":"9430dec17363e6fab520f281880aeefa76482e1d115fe5aee2733e3e241c242c","source":{"kind":"arxiv","id":"1210.1955","version":1},"attestation_state":"computed","paper":{"title":"A new probabilistic approach to non local and fully non linear second order partial differential equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP"],"primary_cat":"math.PR","authors_text":"Jocelyne Bion-Nadal","submitted_at":"2012-10-06T12:55:11Z","abstract_excerpt":"We prove that weakly continuous solutions to martingale problems admit a canonical regular conditional probability distribution. This allows for the construction of time consistent convex dynamic procedures in a non dominated setting. Making use of the martingale problem approach for continuous diffusions and diffusions with Levy generator, we give an explicit construction of such procedures having furthermore a Feller property. These procedures lead to viscosity solution of fully non linear second order partial differential equations in case of continuous diffusions. In case of diffusions wit"},"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":"1210.1955","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2012-10-06T12:55:11Z","cross_cats_sorted":["math.AP"],"title_canon_sha256":"2606903a8c47d811007dcd96428d40fba758151d3bde4b8557899d786d39e309","abstract_canon_sha256":"721e1f33d7a8819154944c6264424d5d92b99946d7bed6d07e0c6222b8a0141e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:43:51.483116Z","signature_b64":"ouqt0hWAnEZ7RYxs2PFqlInOJBgYIu37gsuVxFM5H24zbBXFeURHFrtJob21g1zRfyN2IbbHtXE7gzp5htoCDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9430dec17363e6fab520f281880aeefa76482e1d115fe5aee2733e3e241c242c","last_reissued_at":"2026-05-18T03:43:51.482551Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:43:51.482551Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A new probabilistic approach to non local and fully non linear second order partial differential equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP"],"primary_cat":"math.PR","authors_text":"Jocelyne Bion-Nadal","submitted_at":"2012-10-06T12:55:11Z","abstract_excerpt":"We prove that weakly continuous solutions to martingale problems admit a canonical regular conditional probability distribution. This allows for the construction of time consistent convex dynamic procedures in a non dominated setting. Making use of the martingale problem approach for continuous diffusions and diffusions with Levy generator, we give an explicit construction of such procedures having furthermore a Feller property. These procedures lead to viscosity solution of fully non linear second order partial differential equations in case of continuous diffusions. In case of diffusions wit"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1210.1955","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":"1210.1955","created_at":"2026-05-18T03:43:51.482649+00:00"},{"alias_kind":"arxiv_version","alias_value":"1210.1955v1","created_at":"2026-05-18T03:43:51.482649+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1210.1955","created_at":"2026-05-18T03:43:51.482649+00:00"},{"alias_kind":"pith_short_12","alias_value":"SQYN5QLTMPTP","created_at":"2026-05-18T12:27:20.899486+00:00"},{"alias_kind":"pith_short_16","alias_value":"SQYN5QLTMPTPVNJA","created_at":"2026-05-18T12:27:20.899486+00:00"},{"alias_kind":"pith_short_8","alias_value":"SQYN5QLT","created_at":"2026-05-18T12:27:20.899486+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/SQYN5QLTMPTPVNJA6KAYQCXO7J","json":"https://pith.science/pith/SQYN5QLTMPTPVNJA6KAYQCXO7J.json","graph_json":"https://pith.science/api/pith-number/SQYN5QLTMPTPVNJA6KAYQCXO7J/graph.json","events_json":"https://pith.science/api/pith-number/SQYN5QLTMPTPVNJA6KAYQCXO7J/events.json","paper":"https://pith.science/paper/SQYN5QLT"},"agent_actions":{"view_html":"https://pith.science/pith/SQYN5QLTMPTPVNJA6KAYQCXO7J","download_json":"https://pith.science/pith/SQYN5QLTMPTPVNJA6KAYQCXO7J.json","view_paper":"https://pith.science/paper/SQYN5QLT","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1210.1955&json=true","fetch_graph":"https://pith.science/api/pith-number/SQYN5QLTMPTPVNJA6KAYQCXO7J/graph.json","fetch_events":"https://pith.science/api/pith-number/SQYN5QLTMPTPVNJA6KAYQCXO7J/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/SQYN5QLTMPTPVNJA6KAYQCXO7J/action/timestamp_anchor","attest_storage":"https://pith.science/pith/SQYN5QLTMPTPVNJA6KAYQCXO7J/action/storage_attestation","attest_author":"https://pith.science/pith/SQYN5QLTMPTPVNJA6KAYQCXO7J/action/author_attestation","sign_citation":"https://pith.science/pith/SQYN5QLTMPTPVNJA6KAYQCXO7J/action/citation_signature","submit_replication":"https://pith.science/pith/SQYN5QLTMPTPVNJA6KAYQCXO7J/action/replication_record"}},"created_at":"2026-05-18T03:43:51.482649+00:00","updated_at":"2026-05-18T03:43:51.482649+00:00"}