{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:WDMXL5JPJLEAYQE5TXIF6JTOIX","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"9bd5b46195e2a5f6eba0446863488ec38ec4c113cb5633b5e413bc3ae3caf5bf","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2011-07-08T15:05:16Z","title_canon_sha256":"39eb064ee968dab923bee444923589d7edfd37ca125abdb649e65bf51ed3df39"},"schema_version":"1.0","source":{"id":"1107.1651","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1107.1651","created_at":"2026-05-18T04:18:35Z"},{"alias_kind":"arxiv_version","alias_value":"1107.1651v1","created_at":"2026-05-18T04:18:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1107.1651","created_at":"2026-05-18T04:18:35Z"},{"alias_kind":"pith_short_12","alias_value":"WDMXL5JPJLEA","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_16","alias_value":"WDMXL5JPJLEAYQE5","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_8","alias_value":"WDMXL5JP","created_at":"2026-05-18T12:26:44Z"}],"graph_snapshots":[{"event_id":"sha256:0281e9e449f2c73081158f96a33982e8385f797209a57171a5df32cfb09ce1ac","target":"graph","created_at":"2026-05-18T04:18:35Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"This paper extends the idea of E.Gobet, J.P.Lemor and X.Warin from the setting of Backward Stochastic Differential Equations to that of Backward Doubly Stochastic Differential equations. We propose some numerical approximation scheme of these equations introduced by E.Pardoux and S.Peng.","authors_text":"Omar Aboura (SAMM)","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2011-07-08T15:05:16Z","title":"A regression Monte-Carlo method for Backward Doubly Stochastic Differential Equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1107.1651","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:0d4ff107a4d74ce339879a0224a9cb0d38501acd950a1f558187bb0b8fe93996","target":"record","created_at":"2026-05-18T04:18:35Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"9bd5b46195e2a5f6eba0446863488ec38ec4c113cb5633b5e413bc3ae3caf5bf","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2011-07-08T15:05:16Z","title_canon_sha256":"39eb064ee968dab923bee444923589d7edfd37ca125abdb649e65bf51ed3df39"},"schema_version":"1.0","source":{"id":"1107.1651","kind":"arxiv","version":1}},"canonical_sha256":"b0d975f52f4ac80c409d9dd05f266e45cf9f2a65c429d990cc0b103f8c160827","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b0d975f52f4ac80c409d9dd05f266e45cf9f2a65c429d990cc0b103f8c160827","first_computed_at":"2026-05-18T04:18:35.266790Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:18:35.266790Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mq0BaBsiQUvCs1nhu9mV4hodjHI09lysU/VLsf1Zz4CBV8BJzSES142T74FGCmHdOMLI0hi2IsFpblePVEDsCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:18:35.267392Z","signed_message":"canonical_sha256_bytes"},"source_id":"1107.1651","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0d4ff107a4d74ce339879a0224a9cb0d38501acd950a1f558187bb0b8fe93996","sha256:0281e9e449f2c73081158f96a33982e8385f797209a57171a5df32cfb09ce1ac"],"state_sha256":"766fdd28f2d6b27709574140ac7b6cb9477a0b1373afd831cb110d9618683c4a"}