{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:GJETOHSVJJAAN4SPJDOW2ZAICE","short_pith_number":"pith:GJETOHSV","schema_version":"1.0","canonical_sha256":"3249371e554a4006f24f48dd6d6408113657a6e887f40acd4f6742ee75c71eaa","source":{"kind":"arxiv","id":"1604.01847","version":3},"attestation_state":"computed","paper":{"title":"Anticipative backward stochastic differential equations driven by fractional Brownian motion","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Jiaqiang Wen, Yufeng Shi","submitted_at":"2016-04-07T02:09:25Z","abstract_excerpt":"We study the anticipative backward stochastic differential equations (BSDEs, for short) driven by fractional Brownian motion with Hurst parameter H greater than 1/2. The stochastic integral used throughout the paper is the divergence operator type integral. We obtain the existence and uniqueness of solutions to these equations. A comparison theorem for this type of anticipative BSDEs is also established."},"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":"1604.01847","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2016-04-07T02:09:25Z","cross_cats_sorted":[],"title_canon_sha256":"44803c61167c324b0967b9341248582b8386d92e2a31385540cf8ffbb5c4aa93","abstract_canon_sha256":"33243201ddb25beeb792a6e19bb0050476db6ca5c161971f77466e2b24917806"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:56:31.172479Z","signature_b64":"8Kv/p48gMu+a6z8DNPOfWM3ArI1mOizk3pnKhdlBG+jBtzQsfbm43MlwuiXowR3TLMJUQCcnj1B+kw1RiGgIAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3249371e554a4006f24f48dd6d6408113657a6e887f40acd4f6742ee75c71eaa","last_reissued_at":"2026-05-18T00:56:31.171829Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:56:31.171829Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Anticipative backward stochastic differential equations driven by fractional Brownian motion","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Jiaqiang Wen, Yufeng Shi","submitted_at":"2016-04-07T02:09:25Z","abstract_excerpt":"We study the anticipative backward stochastic differential equations (BSDEs, for short) driven by fractional Brownian motion with Hurst parameter H greater than 1/2. The stochastic integral used throughout the paper is the divergence operator type integral. We obtain the existence and uniqueness of solutions to these equations. A comparison theorem for this type of anticipative BSDEs is also established."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.01847","kind":"arxiv","version":3},"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":"1604.01847","created_at":"2026-05-18T00:56:31.171930+00:00"},{"alias_kind":"arxiv_version","alias_value":"1604.01847v3","created_at":"2026-05-18T00:56:31.171930+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.01847","created_at":"2026-05-18T00:56:31.171930+00:00"},{"alias_kind":"pith_short_12","alias_value":"GJETOHSVJJAA","created_at":"2026-05-18T12:30:19.053100+00:00"},{"alias_kind":"pith_short_16","alias_value":"GJETOHSVJJAAN4SP","created_at":"2026-05-18T12:30:19.053100+00:00"},{"alias_kind":"pith_short_8","alias_value":"GJETOHSV","created_at":"2026-05-18T12:30:19.053100+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/GJETOHSVJJAAN4SPJDOW2ZAICE","json":"https://pith.science/pith/GJETOHSVJJAAN4SPJDOW2ZAICE.json","graph_json":"https://pith.science/api/pith-number/GJETOHSVJJAAN4SPJDOW2ZAICE/graph.json","events_json":"https://pith.science/api/pith-number/GJETOHSVJJAAN4SPJDOW2ZAICE/events.json","paper":"https://pith.science/paper/GJETOHSV"},"agent_actions":{"view_html":"https://pith.science/pith/GJETOHSVJJAAN4SPJDOW2ZAICE","download_json":"https://pith.science/pith/GJETOHSVJJAAN4SPJDOW2ZAICE.json","view_paper":"https://pith.science/paper/GJETOHSV","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1604.01847&json=true","fetch_graph":"https://pith.science/api/pith-number/GJETOHSVJJAAN4SPJDOW2ZAICE/graph.json","fetch_events":"https://pith.science/api/pith-number/GJETOHSVJJAAN4SPJDOW2ZAICE/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GJETOHSVJJAAN4SPJDOW2ZAICE/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GJETOHSVJJAAN4SPJDOW2ZAICE/action/storage_attestation","attest_author":"https://pith.science/pith/GJETOHSVJJAAN4SPJDOW2ZAICE/action/author_attestation","sign_citation":"https://pith.science/pith/GJETOHSVJJAAN4SPJDOW2ZAICE/action/citation_signature","submit_replication":"https://pith.science/pith/GJETOHSVJJAAN4SPJDOW2ZAICE/action/replication_record"}},"created_at":"2026-05-18T00:56:31.171930+00:00","updated_at":"2026-05-18T00:56:31.171930+00:00"}