{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:A26OKJUOXDLR2LBN5ILKXKG5PR","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":"4ba8e0d6dbaeb7ec36fe78b95e8ed8c4200d9c7872cdb3fcd2214d543c2c7bb6","cross_cats_sorted":["math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.CP","submitted_at":"2010-04-29T06:37:23Z","title_canon_sha256":"4210bc29371a3b4ea61965276b5e70a42da4ee4940feeda6039a400d7ee291bd"},"schema_version":"1.0","source":{"id":"1004.5192","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1004.5192","created_at":"2026-05-18T03:28:56Z"},{"alias_kind":"arxiv_version","alias_value":"1004.5192v2","created_at":"2026-05-18T03:28:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1004.5192","created_at":"2026-05-18T03:28:56Z"},{"alias_kind":"pith_short_12","alias_value":"A26OKJUOXDLR","created_at":"2026-05-18T12:26:05Z"},{"alias_kind":"pith_short_16","alias_value":"A26OKJUOXDLR2LBN","created_at":"2026-05-18T12:26:05Z"},{"alias_kind":"pith_short_8","alias_value":"A26OKJUO","created_at":"2026-05-18T12:26:05Z"}],"graph_snapshots":[{"event_id":"sha256:c2fbec63bb7c4956e6bd2f86ceca0177e7c41eac8ad30a430129340b4fccc575","target":"graph","created_at":"2026-05-18T03:28:56Z","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":"The paper generalizes the construction by stochastic flows of consistent utility processes introduced by M. Mrad and N. El Karoui in (2010). The utilities random fields are defined from a general class of processes denoted by $\\GX$. Making minimal assumptions and convex constraints on test-processes, we construct by composing two stochastic flows of homeomorphisms, all the consistent stochastic utilities whose the optimal-benchmark process is given, strictly increasing in its initial condition. Proofs are essentially based on stochastic change of variables techniques.","authors_text":"LAGA), LPMA), Mohamed M'Rad (CMAP, N. El Karoui (CMAP","cross_cats":["math.PR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.CP","submitted_at":"2010-04-29T06:37:23Z","title":"Stochastic Utilities With a Given Optimal Portfolio : Approach by Stochastic Flows"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1004.5192","kind":"arxiv","version":2},"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":"sha256:93d4ff74d472dc56f92c275d922fa76447acba9380fa9391d7562003b3bb35cf","target":"record","created_at":"2026-05-18T03:28:56Z","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":"4ba8e0d6dbaeb7ec36fe78b95e8ed8c4200d9c7872cdb3fcd2214d543c2c7bb6","cross_cats_sorted":["math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.CP","submitted_at":"2010-04-29T06:37:23Z","title_canon_sha256":"4210bc29371a3b4ea61965276b5e70a42da4ee4940feeda6039a400d7ee291bd"},"schema_version":"1.0","source":{"id":"1004.5192","kind":"arxiv","version":2}},"canonical_sha256":"06bce5268eb8d71d2c2dea16aba8dd7c55a6bd0b12eb8bffc71e88e42d8d1070","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"06bce5268eb8d71d2c2dea16aba8dd7c55a6bd0b12eb8bffc71e88e42d8d1070","first_computed_at":"2026-05-18T03:28:56.577505Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:28:56.577505Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FRbehKqfkU2OtqtcACe25B7bUwEQHAbUUvx7c7x1/cmNQExbkNpRW4TZzvEz9BscxLapX1cKXa6xEbvPBeO0BQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:28:56.578115Z","signed_message":"canonical_sha256_bytes"},"source_id":"1004.5192","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:93d4ff74d472dc56f92c275d922fa76447acba9380fa9391d7562003b3bb35cf","sha256:c2fbec63bb7c4956e6bd2f86ceca0177e7c41eac8ad30a430129340b4fccc575"],"state_sha256":"4165b5a7891f02b8789c1122f1d7d74314056138460732e4ce5bb637c19d981c"}