{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:54XD5ME6QS75PILLWV4K2CRRW2","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":"1869257ed197d9852bb53846cf06e42a951ef78651095fcfb60dc34cc7b1659d","cross_cats_sorted":["math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2017-04-03T14:50:37Z","title_canon_sha256":"8fe7bb3ddc750240a26c654d443421f3f05e16e6c8e84819d154d3b05be5251e"},"schema_version":"1.0","source":{"id":"1704.00625","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1704.00625","created_at":"2026-05-18T00:10:30Z"},{"alias_kind":"arxiv_version","alias_value":"1704.00625v3","created_at":"2026-05-18T00:10:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.00625","created_at":"2026-05-18T00:10:30Z"},{"alias_kind":"pith_short_12","alias_value":"54XD5ME6QS75","created_at":"2026-05-18T12:31:00Z"},{"alias_kind":"pith_short_16","alias_value":"54XD5ME6QS75PILL","created_at":"2026-05-18T12:31:00Z"},{"alias_kind":"pith_short_8","alias_value":"54XD5ME6","created_at":"2026-05-18T12:31:00Z"}],"graph_snapshots":[{"event_id":"sha256:af66554ef7f701cbf55e2370ecfd1f3f1dc3b5dd2279a6f012e431576e8d5b43","target":"graph","created_at":"2026-05-18T00:10:30Z","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 formulate a notion of doubly reflected BSDE in the case where the barriers $\\xi$ and $\\zeta$ do not satisfy any regularity assumption and with a general filtration.  Under a technical assumption (a Mokobodzki-type condition), we show existence and uniqueness of the solution. In the case where $\\xi$ is right upper-semicontinuous and $\\zeta$ is right lower-semicontinuous, the solution is  characterized in terms of the value of a corresponding  $\\mathcal{E}^f$-Dynkin game, i.e. a game problem over stopping times with (non-linear) $f$-expectation, where $f$ is the driver of the doubly reflected","authors_text":"Marie-Claire Quenez (LPSM UMR 8001), Miryana Grigorova, Peter Imkeller, Youssef Ouknine","cross_cats":["math.OC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2017-04-03T14:50:37Z","title":"Doubly Reflected BSDEs and ${\\cal E}^{f}$-Dynkin games: beyond the right-continuous case"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.00625","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:c95eb65928f9e39cd9a5fa3deb4ea02c5d1818ccf1055f1cc89906e47738f59f","target":"record","created_at":"2026-05-18T00:10:30Z","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":"1869257ed197d9852bb53846cf06e42a951ef78651095fcfb60dc34cc7b1659d","cross_cats_sorted":["math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2017-04-03T14:50:37Z","title_canon_sha256":"8fe7bb3ddc750240a26c654d443421f3f05e16e6c8e84819d154d3b05be5251e"},"schema_version":"1.0","source":{"id":"1704.00625","kind":"arxiv","version":3}},"canonical_sha256":"ef2e3eb09e84bfd7a16bb578ad0a31b68fcb7f29b81ef56f411e1746c9289e88","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ef2e3eb09e84bfd7a16bb578ad0a31b68fcb7f29b81ef56f411e1746c9289e88","first_computed_at":"2026-05-18T00:10:30.794073Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:10:30.794073Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"M62IbRp0NwrcmTG4ilg7zkQyNuhvkVr2Di/5ep44dt6KbKcMLn6yohn7OA8NIzydcbfxvry1CjZ9QJjs5vcNAg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:10:30.794726Z","signed_message":"canonical_sha256_bytes"},"source_id":"1704.00625","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c95eb65928f9e39cd9a5fa3deb4ea02c5d1818ccf1055f1cc89906e47738f59f","sha256:af66554ef7f701cbf55e2370ecfd1f3f1dc3b5dd2279a6f012e431576e8d5b43"],"state_sha256":"9488a0ac5fa54906fa4525444f24b5d7241b367fe3ebc54d012ea49160099f88"}