{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:AMC4A2AMHNC4J77DEUP76JOQEP","short_pith_number":"pith:AMC4A2AM","schema_version":"1.0","canonical_sha256":"0305c0680c3b45c4ffe3251fff25d023d8ea30e553af06afe1a65358c54980d8","source":{"kind":"arxiv","id":"1711.02944","version":3},"attestation_state":"computed","paper":{"title":"Multi-dimensional BSDEs whose terminal values are bounded and have bounded Malliavin derivatives","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Shiqi Song","submitted_at":"2017-11-08T13:59:34Z","abstract_excerpt":"We consider a class of multi-dimensional BSDEs on a finite time horizon (containing in particular Lipschitzian-quadratic BSDEs), whose terminal values are bounded as well as their corresponding Malliavin derivatives. We prove two results. The first one is an exponential integrability condition which determines when a BSDE in this class has a solution up to a given time horizon. In the second result, via an ordinary differential equation, we compute a minimum horizon up to which any BSDE of this class has a solution. The combination of these two results leads to a new scheme to solve quadratic "},"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":"1711.02944","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2017-11-08T13:59:34Z","cross_cats_sorted":[],"title_canon_sha256":"6b6b20fb70baa8b31e145dd98ea4cd5afd88bee1d2d86edf8c0c7829801fc8d1","abstract_canon_sha256":"f3e52aa90c3f8b09e3de58a9d787b58b22066a712bf0932d73aba2eaf6bf9e5f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:06:51.042157Z","signature_b64":"O/auHZ16oJk9LHlb6VgBR+u0FpRIUR429xfr2R/KP2nhNc+w86hF/9koNsr1d1GCW6s4lkNTwjGtNmbvIzezBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0305c0680c3b45c4ffe3251fff25d023d8ea30e553af06afe1a65358c54980d8","last_reissued_at":"2026-05-18T00:06:51.041547Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:06:51.041547Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Multi-dimensional BSDEs whose terminal values are bounded and have bounded Malliavin derivatives","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Shiqi Song","submitted_at":"2017-11-08T13:59:34Z","abstract_excerpt":"We consider a class of multi-dimensional BSDEs on a finite time horizon (containing in particular Lipschitzian-quadratic BSDEs), whose terminal values are bounded as well as their corresponding Malliavin derivatives. We prove two results. The first one is an exponential integrability condition which determines when a BSDE in this class has a solution up to a given time horizon. In the second result, via an ordinary differential equation, we compute a minimum horizon up to which any BSDE of this class has a solution. The combination of these two results leads to a new scheme to solve quadratic "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.02944","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":"1711.02944","created_at":"2026-05-18T00:06:51.041632+00:00"},{"alias_kind":"arxiv_version","alias_value":"1711.02944v3","created_at":"2026-05-18T00:06:51.041632+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.02944","created_at":"2026-05-18T00:06:51.041632+00:00"},{"alias_kind":"pith_short_12","alias_value":"AMC4A2AMHNC4","created_at":"2026-05-18T12:31:05.417338+00:00"},{"alias_kind":"pith_short_16","alias_value":"AMC4A2AMHNC4J77D","created_at":"2026-05-18T12:31:05.417338+00:00"},{"alias_kind":"pith_short_8","alias_value":"AMC4A2AM","created_at":"2026-05-18T12:31:05.417338+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/AMC4A2AMHNC4J77DEUP76JOQEP","json":"https://pith.science/pith/AMC4A2AMHNC4J77DEUP76JOQEP.json","graph_json":"https://pith.science/api/pith-number/AMC4A2AMHNC4J77DEUP76JOQEP/graph.json","events_json":"https://pith.science/api/pith-number/AMC4A2AMHNC4J77DEUP76JOQEP/events.json","paper":"https://pith.science/paper/AMC4A2AM"},"agent_actions":{"view_html":"https://pith.science/pith/AMC4A2AMHNC4J77DEUP76JOQEP","download_json":"https://pith.science/pith/AMC4A2AMHNC4J77DEUP76JOQEP.json","view_paper":"https://pith.science/paper/AMC4A2AM","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1711.02944&json=true","fetch_graph":"https://pith.science/api/pith-number/AMC4A2AMHNC4J77DEUP76JOQEP/graph.json","fetch_events":"https://pith.science/api/pith-number/AMC4A2AMHNC4J77DEUP76JOQEP/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/AMC4A2AMHNC4J77DEUP76JOQEP/action/timestamp_anchor","attest_storage":"https://pith.science/pith/AMC4A2AMHNC4J77DEUP76JOQEP/action/storage_attestation","attest_author":"https://pith.science/pith/AMC4A2AMHNC4J77DEUP76JOQEP/action/author_attestation","sign_citation":"https://pith.science/pith/AMC4A2AMHNC4J77DEUP76JOQEP/action/citation_signature","submit_replication":"https://pith.science/pith/AMC4A2AMHNC4J77DEUP76JOQEP/action/replication_record"}},"created_at":"2026-05-18T00:06:51.041632+00:00","updated_at":"2026-05-18T00:06:51.041632+00:00"}