{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:NSSJUOXVLJGLHM3DDP7JS4JC7Y","short_pith_number":"pith:NSSJUOXV","schema_version":"1.0","canonical_sha256":"6ca49a3af55a4cb3b3631bfe997122fe198d58646f44896e50a2e889abe7d68f","source":{"kind":"arxiv","id":"1907.02293","version":1},"attestation_state":"computed","paper":{"title":"Weak convergence of path-dependent SDEs driven by fractional Brownian motion with irregular coefficients","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Chenggui Yuan, shaoqin Zhang, Yongqiang Suo","submitted_at":"2019-07-04T09:24:44Z","abstract_excerpt":"In this paper, by using Girsanov's transformation and the property of the corresponding reference stochastic differential equations, we investigate weak existence and uniqueness of solutions and weak convergence of Euler-Maruyama scheme to stochastic functional differential equations with H\\\"older continuous drift driven by fractional Brownian motion with Hurst index $H\\in (1/2,1)$."},"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":"1907.02293","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2019-07-04T09:24:44Z","cross_cats_sorted":[],"title_canon_sha256":"05fc64af767bef345a878b26a46419d2df82011b71b16a589f47e29ab9d0b54e","abstract_canon_sha256":"246c86d7dc2d9afc97e21a273e0127aae96f6911dea76288094e87810f22bc97"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:41:29.117405Z","signature_b64":"cSwtDYjoBwgVrzdPOEkryKdFum0wVIfHEEaDKRl6+nWFsefMKmcPWw5k0gphXmZEqQA9E635l6N0fjq8IE97Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6ca49a3af55a4cb3b3631bfe997122fe198d58646f44896e50a2e889abe7d68f","last_reissued_at":"2026-05-17T23:41:29.116613Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:41:29.116613Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Weak convergence of path-dependent SDEs driven by fractional Brownian motion with irregular coefficients","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Chenggui Yuan, shaoqin Zhang, Yongqiang Suo","submitted_at":"2019-07-04T09:24:44Z","abstract_excerpt":"In this paper, by using Girsanov's transformation and the property of the corresponding reference stochastic differential equations, we investigate weak existence and uniqueness of solutions and weak convergence of Euler-Maruyama scheme to stochastic functional differential equations with H\\\"older continuous drift driven by fractional Brownian motion with Hurst index $H\\in (1/2,1)$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1907.02293","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":"1907.02293","created_at":"2026-05-17T23:41:29.116748+00:00"},{"alias_kind":"arxiv_version","alias_value":"1907.02293v1","created_at":"2026-05-17T23:41:29.116748+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1907.02293","created_at":"2026-05-17T23:41:29.116748+00:00"},{"alias_kind":"pith_short_12","alias_value":"NSSJUOXVLJGL","created_at":"2026-05-18T12:33:24.271573+00:00"},{"alias_kind":"pith_short_16","alias_value":"NSSJUOXVLJGLHM3D","created_at":"2026-05-18T12:33:24.271573+00:00"},{"alias_kind":"pith_short_8","alias_value":"NSSJUOXV","created_at":"2026-05-18T12:33:24.271573+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/NSSJUOXVLJGLHM3DDP7JS4JC7Y","json":"https://pith.science/pith/NSSJUOXVLJGLHM3DDP7JS4JC7Y.json","graph_json":"https://pith.science/api/pith-number/NSSJUOXVLJGLHM3DDP7JS4JC7Y/graph.json","events_json":"https://pith.science/api/pith-number/NSSJUOXVLJGLHM3DDP7JS4JC7Y/events.json","paper":"https://pith.science/paper/NSSJUOXV"},"agent_actions":{"view_html":"https://pith.science/pith/NSSJUOXVLJGLHM3DDP7JS4JC7Y","download_json":"https://pith.science/pith/NSSJUOXVLJGLHM3DDP7JS4JC7Y.json","view_paper":"https://pith.science/paper/NSSJUOXV","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1907.02293&json=true","fetch_graph":"https://pith.science/api/pith-number/NSSJUOXVLJGLHM3DDP7JS4JC7Y/graph.json","fetch_events":"https://pith.science/api/pith-number/NSSJUOXVLJGLHM3DDP7JS4JC7Y/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/NSSJUOXVLJGLHM3DDP7JS4JC7Y/action/timestamp_anchor","attest_storage":"https://pith.science/pith/NSSJUOXVLJGLHM3DDP7JS4JC7Y/action/storage_attestation","attest_author":"https://pith.science/pith/NSSJUOXVLJGLHM3DDP7JS4JC7Y/action/author_attestation","sign_citation":"https://pith.science/pith/NSSJUOXVLJGLHM3DDP7JS4JC7Y/action/citation_signature","submit_replication":"https://pith.science/pith/NSSJUOXVLJGLHM3DDP7JS4JC7Y/action/replication_record"}},"created_at":"2026-05-17T23:41:29.116748+00:00","updated_at":"2026-05-17T23:41:29.116748+00:00"}