{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:ECIQDHNYG3ODK27X727EBWBNP4","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":"7aa788a957a9e1d5c5a39980268ec11613d09fb2720ccf09d2e563aa313d669e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2012-05-23T09:57:52Z","title_canon_sha256":"dd7485d696ffe5f8e485e74510eccd1af917bf14edb25f5d2725141fb87c45d7"},"schema_version":"1.0","source":{"id":"1205.5140","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1205.5140","created_at":"2026-05-18T03:55:02Z"},{"alias_kind":"arxiv_version","alias_value":"1205.5140v1","created_at":"2026-05-18T03:55:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1205.5140","created_at":"2026-05-18T03:55:02Z"},{"alias_kind":"pith_short_12","alias_value":"ECIQDHNYG3OD","created_at":"2026-05-18T12:27:04Z"},{"alias_kind":"pith_short_16","alias_value":"ECIQDHNYG3ODK27X","created_at":"2026-05-18T12:27:04Z"},{"alias_kind":"pith_short_8","alias_value":"ECIQDHNY","created_at":"2026-05-18T12:27:04Z"}],"graph_snapshots":[{"event_id":"sha256:3e770864230dfeabe222f7d4cf16d6e0db19f0a3a85b6383fbefaa8bca40ce57","target":"graph","created_at":"2026-05-18T03:55:02Z","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 study a class of backward stochastic differential equations (BSDEs) driven by a random measure or, equivalently, by a marked point process. Under appropriate assumptions we prove well-posedness and continuous dependence of the solution on the data. We next address optimal control problems for point processes of general non-markovian type and show that BSDEs can be used to prove existence of an optimal control and to represent the value function. Finally we introduce a Hamilton-Jacobi-Bellman equation, also stochastic and of backward type, for this class of control problems: when the state s","authors_text":"Fulvia Confortola, Marco Fuhrman","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2012-05-23T09:57:52Z","title":"Backward stochastic differential equations and optimal control of marked point processes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1205.5140","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:f8762f4483e032f58f8f10c2dbba6049f503a7d775b60dccdbdd0b87fd06c61e","target":"record","created_at":"2026-05-18T03:55:02Z","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":"7aa788a957a9e1d5c5a39980268ec11613d09fb2720ccf09d2e563aa313d669e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2012-05-23T09:57:52Z","title_canon_sha256":"dd7485d696ffe5f8e485e74510eccd1af917bf14edb25f5d2725141fb87c45d7"},"schema_version":"1.0","source":{"id":"1205.5140","kind":"arxiv","version":1}},"canonical_sha256":"2091019db836dc356bf7febe40d82d7f06c638dd901edb368104144094c98e4a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2091019db836dc356bf7febe40d82d7f06c638dd901edb368104144094c98e4a","first_computed_at":"2026-05-18T03:55:02.141673Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:55:02.141673Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Zer3QdmdF+ZRiVnSyrPgkFFK+HpKH5c2dXJh6UF9OWHlONJt9KAybBRynQelji+kL6Ab0vyHmYKAsu4wKbymCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:55:02.142374Z","signed_message":"canonical_sha256_bytes"},"source_id":"1205.5140","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f8762f4483e032f58f8f10c2dbba6049f503a7d775b60dccdbdd0b87fd06c61e","sha256:3e770864230dfeabe222f7d4cf16d6e0db19f0a3a85b6383fbefaa8bca40ce57"],"state_sha256":"3058ca71c7ad963d11f678773223faaa7155ac73d7e7e55a5de85578f4fee792"}