{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:SWJQSFFUIQZFIWYS6UMK3WY3NO","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":"82e1c1a7b8e49cf3ec7fa5703c1d6c6672262cc660e9b8ae58349d35002c5d29","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2015-03-06T20:44:18Z","title_canon_sha256":"7f720c4aa484cca6681742752d77f500e3467880d58507b5d846b833e4d30619"},"schema_version":"1.0","source":{"id":"1503.02062","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1503.02062","created_at":"2026-05-18T01:49:55Z"},{"alias_kind":"arxiv_version","alias_value":"1503.02062v3","created_at":"2026-05-18T01:49:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.02062","created_at":"2026-05-18T01:49:55Z"},{"alias_kind":"pith_short_12","alias_value":"SWJQSFFUIQZF","created_at":"2026-05-18T12:29:42Z"},{"alias_kind":"pith_short_16","alias_value":"SWJQSFFUIQZFIWYS","created_at":"2026-05-18T12:29:42Z"},{"alias_kind":"pith_short_8","alias_value":"SWJQSFFU","created_at":"2026-05-18T12:29:42Z"}],"graph_snapshots":[{"event_id":"sha256:f6fda1962789e16179bfde4a04e981758ae65080a0d824a39b9a3b743ca019c4","target":"graph","created_at":"2026-05-18T01:49:55Z","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":"In this paper we study a utility maximization problem with random horizon and reduce it to the analysis of a specific BSDE, which we call BSDE with singular coefficients, when the support of the default time is assumed to be bounded. We prove existence and uniqueness of the solution for the equation under interest. Our results are illustrated by numerical simulations.","authors_text":"Anthony R\\'eveillac (IMT, Dylan Possama\\\"i (CEREMADE), INSA Toulouse), Monique Jeanblanc (LaMME), Thibaut Mastrolia (CEREMADE)","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2015-03-06T20:44:18Z","title":"Utility maximization with random horizon: a BSDE approach"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.02062","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:e0c7419250ea9d132d8a80595cbb70052e9b766cdb575d62260dadc437fe313a","target":"record","created_at":"2026-05-18T01:49:55Z","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":"82e1c1a7b8e49cf3ec7fa5703c1d6c6672262cc660e9b8ae58349d35002c5d29","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2015-03-06T20:44:18Z","title_canon_sha256":"7f720c4aa484cca6681742752d77f500e3467880d58507b5d846b833e4d30619"},"schema_version":"1.0","source":{"id":"1503.02062","kind":"arxiv","version":3}},"canonical_sha256":"95930914b44432545b12f518addb1b6b89910bb95cb09cd87a49ed3d0a1d206b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"95930914b44432545b12f518addb1b6b89910bb95cb09cd87a49ed3d0a1d206b","first_computed_at":"2026-05-18T01:49:55.655859Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:49:55.655859Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"URMT8xneNrQLqJDxi+2UCtgCvPGifs6t5weEwNNwefXL6kCuxM6ZBXamSBqJE8o8EJnAENkbwXzDl5VL4rdDCA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:49:55.656371Z","signed_message":"canonical_sha256_bytes"},"source_id":"1503.02062","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e0c7419250ea9d132d8a80595cbb70052e9b766cdb575d62260dadc437fe313a","sha256:f6fda1962789e16179bfde4a04e981758ae65080a0d824a39b9a3b743ca019c4"],"state_sha256":"c5c53df6b2b1477e1d8547c39409422895e01e8887d578320a5fb293eb063966"}