{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:XXM6KCQK75QQ7KTBFPHMQLBGS3","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":"4211e0ae4f633d6d5d3899aa9dd82e2a5d0dd14df0677d121b545b3d84cf7270","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2017-03-30T15:34:59Z","title_canon_sha256":"777e80952489f60ad874c6c971a4673b918b2b3c1b7064a5224f275d496e16a6"},"schema_version":"1.0","source":{"id":"1703.10532","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.10532","created_at":"2026-05-18T00:47:34Z"},{"alias_kind":"arxiv_version","alias_value":"1703.10532v1","created_at":"2026-05-18T00:47:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.10532","created_at":"2026-05-18T00:47:34Z"},{"alias_kind":"pith_short_12","alias_value":"XXM6KCQK75QQ","created_at":"2026-05-18T12:31:56Z"},{"alias_kind":"pith_short_16","alias_value":"XXM6KCQK75QQ7KTB","created_at":"2026-05-18T12:31:56Z"},{"alias_kind":"pith_short_8","alias_value":"XXM6KCQK","created_at":"2026-05-18T12:31:56Z"}],"graph_snapshots":[{"event_id":"sha256:c6081bb158deb3ceb7309bf35a0b8679633a1c77dbee359ecf82ff0f7add6d9f","target":"graph","created_at":"2026-05-18T00:47:34Z","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 consider a class of reflected backward doubly stochastic differential equations with time delayed generator (in short RBDSDE with time delayed generator), in this case generator at time $t$ can depend on the values of a solution in the past. Under a Lipschitz condition, we ensure the existence and uniqueness of the solution.","authors_text":"Badreddine Mansouri, Imen Salhi, Lazhar Tamer","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2017-03-30T15:34:59Z","title":"Reflected backward doubly stochastic differential equations with time delayed generators"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.10532","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":"sha256:44702032cac62438b0fa9dc754abfddbf548b71564b41f7f65b1a420f148afb0","target":"record","created_at":"2026-05-18T00:47:34Z","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":"4211e0ae4f633d6d5d3899aa9dd82e2a5d0dd14df0677d121b545b3d84cf7270","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2017-03-30T15:34:59Z","title_canon_sha256":"777e80952489f60ad874c6c971a4673b918b2b3c1b7064a5224f275d496e16a6"},"schema_version":"1.0","source":{"id":"1703.10532","kind":"arxiv","version":1}},"canonical_sha256":"bdd9e50a0aff610faa612bcec82c2696ffce33ce3134d5a4a8dbdab7f36a6726","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bdd9e50a0aff610faa612bcec82c2696ffce33ce3134d5a4a8dbdab7f36a6726","first_computed_at":"2026-05-18T00:47:34.448950Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:47:34.448950Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"URxqeWypzG7osNWkE/Xxwz8VJtj6d6yuo+6P2t3dkcCB/UAZD0RDtywgqe9bN5YpBh72OEYQWQg21wedADLCAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:47:34.449621Z","signed_message":"canonical_sha256_bytes"},"source_id":"1703.10532","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:44702032cac62438b0fa9dc754abfddbf548b71564b41f7f65b1a420f148afb0","sha256:c6081bb158deb3ceb7309bf35a0b8679633a1c77dbee359ecf82ff0f7add6d9f"],"state_sha256":"c10d6aa8550c363193e785809ab18973ea88e23c185619b01eb8c2ff31ecefa3"}