{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:ILUZUR65FBXWPV7WMAWT2DUKCK","short_pith_number":"pith:ILUZUR65","canonical_record":{"source":{"id":"1503.06427","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2015-03-22T13:51:31Z","cross_cats_sorted":[],"title_canon_sha256":"1260f8dffc4501e7dc75f14db2640dcde34a70a11656b3f766e9746755dfac5b","abstract_canon_sha256":"09bd43ca249e1d284f23f60be77dd785b119061a20198413492b686fda8651b8"},"schema_version":"1.0"},"canonical_sha256":"42e99a47dd286f67d7f6602d3d0e8a1283e032d107b713b9c031ab4a3137c0b7","source":{"kind":"arxiv","id":"1503.06427","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1503.06427","created_at":"2026-05-18T01:13:21Z"},{"alias_kind":"arxiv_version","alias_value":"1503.06427v3","created_at":"2026-05-18T01:13:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.06427","created_at":"2026-05-18T01:13:21Z"},{"alias_kind":"pith_short_12","alias_value":"ILUZUR65FBXW","created_at":"2026-05-18T12:29:25Z"},{"alias_kind":"pith_short_16","alias_value":"ILUZUR65FBXWPV7W","created_at":"2026-05-18T12:29:25Z"},{"alias_kind":"pith_short_8","alias_value":"ILUZUR65","created_at":"2026-05-18T12:29:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:ILUZUR65FBXWPV7WMAWT2DUKCK","target":"record","payload":{"canonical_record":{"source":{"id":"1503.06427","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2015-03-22T13:51:31Z","cross_cats_sorted":[],"title_canon_sha256":"1260f8dffc4501e7dc75f14db2640dcde34a70a11656b3f766e9746755dfac5b","abstract_canon_sha256":"09bd43ca249e1d284f23f60be77dd785b119061a20198413492b686fda8651b8"},"schema_version":"1.0"},"canonical_sha256":"42e99a47dd286f67d7f6602d3d0e8a1283e032d107b713b9c031ab4a3137c0b7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:13:21.202464Z","signature_b64":"JS2FFgrWb+weDyT+fuxzBiE04mAzoPtnsJmy2rKKEDC9tqO8j+Q8pLW0zDNoR/NUpqO2hPTHf3rOtBsp8AuMBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"42e99a47dd286f67d7f6602d3d0e8a1283e032d107b713b9c031ab4a3137c0b7","last_reissued_at":"2026-05-18T01:13:21.201971Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:13:21.201971Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1503.06427","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:13:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7NGbx6yAWYgeINqPr16cXDk9vL4lcn2g4o647uWWjif2h5X9+M0J54tliWFwS1k4h6rmAZarjVbSE8wl9saKBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T00:55:01.570363Z"},"content_sha256":"5ca104c2613f93a8f1d13f64aaafb43211d00cd9dba8bcce619e6717d95178d6","schema_version":"1.0","event_id":"sha256:5ca104c2613f93a8f1d13f64aaafb43211d00cd9dba8bcce619e6717d95178d6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:ILUZUR65FBXWPV7WMAWT2DUKCK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Anticipating backward stochastic Volterra integral equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Jiaqiang Wen, Yufeng Shi","submitted_at":"2015-03-22T13:51:31Z","abstract_excerpt":"We introduce and study a new type of integral equations called anticipating backward stochastic Volterra integral equations (anticipating BSVIEs). In these equations the generator involves not only the present values but also the future values of the solutions. We obtain the existence and uniqueness theorem and a comparison theorem for the solutions to these anticipating BSVIEs."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.06427","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:13:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ViPaj37gzFqD9dkRNqVP4eArygWdyiQRpY47eUeURlcs16oMQIFKYmRa+cS6e69+EL2Lj2B7w29RIGFCpCfkBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T00:55:01.571022Z"},"content_sha256":"99f54aa7a779f4883857f0182eb1ed8e8c9a66743ce0914876bf88f30cc21c6c","schema_version":"1.0","event_id":"sha256:99f54aa7a779f4883857f0182eb1ed8e8c9a66743ce0914876bf88f30cc21c6c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ILUZUR65FBXWPV7WMAWT2DUKCK/bundle.json","state_url":"https://pith.science/pith/ILUZUR65FBXWPV7WMAWT2DUKCK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ILUZUR65FBXWPV7WMAWT2DUKCK/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-26T00:55:01Z","links":{"resolver":"https://pith.science/pith/ILUZUR65FBXWPV7WMAWT2DUKCK","bundle":"https://pith.science/pith/ILUZUR65FBXWPV7WMAWT2DUKCK/bundle.json","state":"https://pith.science/pith/ILUZUR65FBXWPV7WMAWT2DUKCK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ILUZUR65FBXWPV7WMAWT2DUKCK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:ILUZUR65FBXWPV7WMAWT2DUKCK","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":"09bd43ca249e1d284f23f60be77dd785b119061a20198413492b686fda8651b8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2015-03-22T13:51:31Z","title_canon_sha256":"1260f8dffc4501e7dc75f14db2640dcde34a70a11656b3f766e9746755dfac5b"},"schema_version":"1.0","source":{"id":"1503.06427","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1503.06427","created_at":"2026-05-18T01:13:21Z"},{"alias_kind":"arxiv_version","alias_value":"1503.06427v3","created_at":"2026-05-18T01:13:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.06427","created_at":"2026-05-18T01:13:21Z"},{"alias_kind":"pith_short_12","alias_value":"ILUZUR65FBXW","created_at":"2026-05-18T12:29:25Z"},{"alias_kind":"pith_short_16","alias_value":"ILUZUR65FBXWPV7W","created_at":"2026-05-18T12:29:25Z"},{"alias_kind":"pith_short_8","alias_value":"ILUZUR65","created_at":"2026-05-18T12:29:25Z"}],"graph_snapshots":[{"event_id":"sha256:99f54aa7a779f4883857f0182eb1ed8e8c9a66743ce0914876bf88f30cc21c6c","target":"graph","created_at":"2026-05-18T01:13:21Z","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":"We introduce and study a new type of integral equations called anticipating backward stochastic Volterra integral equations (anticipating BSVIEs). In these equations the generator involves not only the present values but also the future values of the solutions. We obtain the existence and uniqueness theorem and a comparison theorem for the solutions to these anticipating BSVIEs.","authors_text":"Jiaqiang Wen, Yufeng Shi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2015-03-22T13:51:31Z","title":"Anticipating backward stochastic Volterra integral equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.06427","kind":"arxiv","version":3},"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":"sha256:5ca104c2613f93a8f1d13f64aaafb43211d00cd9dba8bcce619e6717d95178d6","target":"record","created_at":"2026-05-18T01:13:21Z","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":"09bd43ca249e1d284f23f60be77dd785b119061a20198413492b686fda8651b8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2015-03-22T13:51:31Z","title_canon_sha256":"1260f8dffc4501e7dc75f14db2640dcde34a70a11656b3f766e9746755dfac5b"},"schema_version":"1.0","source":{"id":"1503.06427","kind":"arxiv","version":3}},"canonical_sha256":"42e99a47dd286f67d7f6602d3d0e8a1283e032d107b713b9c031ab4a3137c0b7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"42e99a47dd286f67d7f6602d3d0e8a1283e032d107b713b9c031ab4a3137c0b7","first_computed_at":"2026-05-18T01:13:21.201971Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:13:21.201971Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JS2FFgrWb+weDyT+fuxzBiE04mAzoPtnsJmy2rKKEDC9tqO8j+Q8pLW0zDNoR/NUpqO2hPTHf3rOtBsp8AuMBA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:13:21.202464Z","signed_message":"canonical_sha256_bytes"},"source_id":"1503.06427","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5ca104c2613f93a8f1d13f64aaafb43211d00cd9dba8bcce619e6717d95178d6","sha256:99f54aa7a779f4883857f0182eb1ed8e8c9a66743ce0914876bf88f30cc21c6c"],"state_sha256":"b03f641f515995beb6ccce1976cdb0d4650a2be19cddb907608b4e70d70cbe06"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RMUquYchohGuJxL9Lk7h9s5QZ8rI3phhILirvHFY60NqgVgZnwSsNmGcVg+TqlqvyIeMAaZDhNixzLnBRXDjBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T00:55:01.574791Z","bundle_sha256":"a055f8d5dbc64302ba1c31a3c67c538d7d79608e05d1185cd328b2a7c6909721"}}