{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:54XD5ME6QS75PILLWV4K2CRRW2","short_pith_number":"pith:54XD5ME6","schema_version":"1.0","canonical_sha256":"ef2e3eb09e84bfd7a16bb578ad0a31b68fcb7f29b81ef56f411e1746c9289e88","source":{"kind":"arxiv","id":"1704.00625","version":3},"attestation_state":"computed","paper":{"title":"Doubly Reflected BSDEs and ${\\cal E}^{f}$-Dynkin games: beyond the right-continuous case","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.OC"],"primary_cat":"math.PR","authors_text":"Marie-Claire Quenez (LPSM UMR 8001), Miryana Grigorova, Peter Imkeller, Youssef Ouknine","submitted_at":"2017-04-03T14:50:37Z","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"},"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":"1704.00625","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2017-04-03T14:50:37Z","cross_cats_sorted":["math.OC"],"title_canon_sha256":"8fe7bb3ddc750240a26c654d443421f3f05e16e6c8e84819d154d3b05be5251e","abstract_canon_sha256":"1869257ed197d9852bb53846cf06e42a951ef78651095fcfb60dc34cc7b1659d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:10:30.794726Z","signature_b64":"M62IbRp0NwrcmTG4ilg7zkQyNuhvkVr2Di/5ep44dt6KbKcMLn6yohn7OA8NIzydcbfxvry1CjZ9QJjs5vcNAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ef2e3eb09e84bfd7a16bb578ad0a31b68fcb7f29b81ef56f411e1746c9289e88","last_reissued_at":"2026-05-18T00:10:30.794073Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:10:30.794073Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Doubly Reflected BSDEs and ${\\cal E}^{f}$-Dynkin games: beyond the right-continuous case","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.OC"],"primary_cat":"math.PR","authors_text":"Marie-Claire Quenez (LPSM UMR 8001), Miryana Grigorova, Peter Imkeller, Youssef Ouknine","submitted_at":"2017-04-03T14:50:37Z","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"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.00625","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":"1704.00625","created_at":"2026-05-18T00:10:30.794177+00:00"},{"alias_kind":"arxiv_version","alias_value":"1704.00625v3","created_at":"2026-05-18T00:10:30.794177+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.00625","created_at":"2026-05-18T00:10:30.794177+00:00"},{"alias_kind":"pith_short_12","alias_value":"54XD5ME6QS75","created_at":"2026-05-18T12:31:00.734936+00:00"},{"alias_kind":"pith_short_16","alias_value":"54XD5ME6QS75PILL","created_at":"2026-05-18T12:31:00.734936+00:00"},{"alias_kind":"pith_short_8","alias_value":"54XD5ME6","created_at":"2026-05-18T12:31:00.734936+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/54XD5ME6QS75PILLWV4K2CRRW2","json":"https://pith.science/pith/54XD5ME6QS75PILLWV4K2CRRW2.json","graph_json":"https://pith.science/api/pith-number/54XD5ME6QS75PILLWV4K2CRRW2/graph.json","events_json":"https://pith.science/api/pith-number/54XD5ME6QS75PILLWV4K2CRRW2/events.json","paper":"https://pith.science/paper/54XD5ME6"},"agent_actions":{"view_html":"https://pith.science/pith/54XD5ME6QS75PILLWV4K2CRRW2","download_json":"https://pith.science/pith/54XD5ME6QS75PILLWV4K2CRRW2.json","view_paper":"https://pith.science/paper/54XD5ME6","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1704.00625&json=true","fetch_graph":"https://pith.science/api/pith-number/54XD5ME6QS75PILLWV4K2CRRW2/graph.json","fetch_events":"https://pith.science/api/pith-number/54XD5ME6QS75PILLWV4K2CRRW2/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/54XD5ME6QS75PILLWV4K2CRRW2/action/timestamp_anchor","attest_storage":"https://pith.science/pith/54XD5ME6QS75PILLWV4K2CRRW2/action/storage_attestation","attest_author":"https://pith.science/pith/54XD5ME6QS75PILLWV4K2CRRW2/action/author_attestation","sign_citation":"https://pith.science/pith/54XD5ME6QS75PILLWV4K2CRRW2/action/citation_signature","submit_replication":"https://pith.science/pith/54XD5ME6QS75PILLWV4K2CRRW2/action/replication_record"}},"created_at":"2026-05-18T00:10:30.794177+00:00","updated_at":"2026-05-18T00:10:30.794177+00:00"}