{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:ZW6CCMWKNNPFNCKKVKJPYTY5RX","short_pith_number":"pith:ZW6CCMWK","schema_version":"1.0","canonical_sha256":"cdbc2132ca6b5e56894aaa92fc4f1d8dc04a7cd320623c42be97eccca0c4594a","source":{"kind":"arxiv","id":"1711.06033","version":1},"attestation_state":"computed","paper":{"title":"Utility maximization via decoupling fields","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Alexander Fromm, Peter Imkeller","submitted_at":"2017-11-16T11:27:10Z","abstract_excerpt":"We consider the utility maximization problem for a general class of utility functions defined on the real line. We rely on existing results which reduce the problem to a coupled forward-backward stochastic differential equation (FBSDE) and concentrate on showing existence and uniqueness of solution processes to this FBSDE. We use the method of decoupling fields for strongly coupled, multi-dimensional and possibly non-Lipschitz systems as the central technique in conducting the proofs."},"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":"1711.06033","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2017-11-16T11:27:10Z","cross_cats_sorted":[],"title_canon_sha256":"7060f42d87d2c0171a34a70aa59902c6aa88831b5654b5e7b1cd2e03fd25529b","abstract_canon_sha256":"4a6712a0f497b8a06f6ad232ac3d9c55e008fb2d8d8ba9e69533e434b73105d2"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:30:23.511587Z","signature_b64":"BAJFO9GdQQK+rA9rxLdCozBcF/iyL8AJnaCYd/6YZhZSIoT/0QlG58sZbDtfrQgqMItEAvaJVVTxqprCtrokAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cdbc2132ca6b5e56894aaa92fc4f1d8dc04a7cd320623c42be97eccca0c4594a","last_reissued_at":"2026-05-18T00:30:23.511135Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:30:23.511135Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Utility maximization via decoupling fields","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Alexander Fromm, Peter Imkeller","submitted_at":"2017-11-16T11:27:10Z","abstract_excerpt":"We consider the utility maximization problem for a general class of utility functions defined on the real line. We rely on existing results which reduce the problem to a coupled forward-backward stochastic differential equation (FBSDE) and concentrate on showing existence and uniqueness of solution processes to this FBSDE. We use the method of decoupling fields for strongly coupled, multi-dimensional and possibly non-Lipschitz systems as the central technique in conducting the proofs."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.06033","kind":"arxiv","version":1},"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":"1711.06033","created_at":"2026-05-18T00:30:23.511202+00:00"},{"alias_kind":"arxiv_version","alias_value":"1711.06033v1","created_at":"2026-05-18T00:30:23.511202+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.06033","created_at":"2026-05-18T00:30:23.511202+00:00"},{"alias_kind":"pith_short_12","alias_value":"ZW6CCMWKNNPF","created_at":"2026-05-18T12:31:59.375834+00:00"},{"alias_kind":"pith_short_16","alias_value":"ZW6CCMWKNNPFNCKK","created_at":"2026-05-18T12:31:59.375834+00:00"},{"alias_kind":"pith_short_8","alias_value":"ZW6CCMWK","created_at":"2026-05-18T12:31:59.375834+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/ZW6CCMWKNNPFNCKKVKJPYTY5RX","json":"https://pith.science/pith/ZW6CCMWKNNPFNCKKVKJPYTY5RX.json","graph_json":"https://pith.science/api/pith-number/ZW6CCMWKNNPFNCKKVKJPYTY5RX/graph.json","events_json":"https://pith.science/api/pith-number/ZW6CCMWKNNPFNCKKVKJPYTY5RX/events.json","paper":"https://pith.science/paper/ZW6CCMWK"},"agent_actions":{"view_html":"https://pith.science/pith/ZW6CCMWKNNPFNCKKVKJPYTY5RX","download_json":"https://pith.science/pith/ZW6CCMWKNNPFNCKKVKJPYTY5RX.json","view_paper":"https://pith.science/paper/ZW6CCMWK","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1711.06033&json=true","fetch_graph":"https://pith.science/api/pith-number/ZW6CCMWKNNPFNCKKVKJPYTY5RX/graph.json","fetch_events":"https://pith.science/api/pith-number/ZW6CCMWKNNPFNCKKVKJPYTY5RX/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ZW6CCMWKNNPFNCKKVKJPYTY5RX/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ZW6CCMWKNNPFNCKKVKJPYTY5RX/action/storage_attestation","attest_author":"https://pith.science/pith/ZW6CCMWKNNPFNCKKVKJPYTY5RX/action/author_attestation","sign_citation":"https://pith.science/pith/ZW6CCMWKNNPFNCKKVKJPYTY5RX/action/citation_signature","submit_replication":"https://pith.science/pith/ZW6CCMWKNNPFNCKKVKJPYTY5RX/action/replication_record"}},"created_at":"2026-05-18T00:30:23.511202+00:00","updated_at":"2026-05-18T00:30:23.511202+00:00"}