{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:GIR6ZAFXWR776SQBQFQSRCYFGT","short_pith_number":"pith:GIR6ZAFX","schema_version":"1.0","canonical_sha256":"3223ec80b7b47fff4a018161288b0534f25be3b26fe9d23357759099199c79d6","source":{"kind":"arxiv","id":"1307.5163","version":2},"attestation_state":"computed","paper":{"title":"Dynamic Programming for controlled Markov families: abstractly and over Martingale Measures","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["q-fin.PM"],"primary_cat":"math.OC","authors_text":"Gordan Zitkovic","submitted_at":"2013-07-19T09:17:31Z","abstract_excerpt":"We describe an abstract control-theoretic framework in which the validity of the dynamic programming principle can be established in continuous time by a verification of a small number of structural properties. As an application we treat several cases of interest, most notably the lower-hedging and utility-maximization problems of financial mathematics both of which are naturally posed over ``sets of martingale measures''."},"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":"1307.5163","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2013-07-19T09:17:31Z","cross_cats_sorted":["q-fin.PM"],"title_canon_sha256":"04fd7dc929985c3b0b23e51bdcf9b2bfd667c8f111eb4d2606ae75f6b75f8ee4","abstract_canon_sha256":"5d5e6e37e141f531fd8958e4b1d3948014638c073d0814793dab2d73eb2c6f92"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:56:19.107877Z","signature_b64":"UGCzzj+sagZky67qoFGhhR0+AgCudsxnxZzX4gc5eSy7j3pmsrER+uKBIO0ZHIyWn2pmG81nktUD/5HZAOueBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3223ec80b7b47fff4a018161288b0534f25be3b26fe9d23357759099199c79d6","last_reissued_at":"2026-05-18T02:56:19.107417Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:56:19.107417Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Dynamic Programming for controlled Markov families: abstractly and over Martingale Measures","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["q-fin.PM"],"primary_cat":"math.OC","authors_text":"Gordan Zitkovic","submitted_at":"2013-07-19T09:17:31Z","abstract_excerpt":"We describe an abstract control-theoretic framework in which the validity of the dynamic programming principle can be established in continuous time by a verification of a small number of structural properties. As an application we treat several cases of interest, most notably the lower-hedging and utility-maximization problems of financial mathematics both of which are naturally posed over ``sets of martingale measures''."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.5163","kind":"arxiv","version":2},"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":"1307.5163","created_at":"2026-05-18T02:56:19.107486+00:00"},{"alias_kind":"arxiv_version","alias_value":"1307.5163v2","created_at":"2026-05-18T02:56:19.107486+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.5163","created_at":"2026-05-18T02:56:19.107486+00:00"},{"alias_kind":"pith_short_12","alias_value":"GIR6ZAFXWR77","created_at":"2026-05-18T12:27:45.050594+00:00"},{"alias_kind":"pith_short_16","alias_value":"GIR6ZAFXWR776SQB","created_at":"2026-05-18T12:27:45.050594+00:00"},{"alias_kind":"pith_short_8","alias_value":"GIR6ZAFX","created_at":"2026-05-18T12:27:45.050594+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/GIR6ZAFXWR776SQBQFQSRCYFGT","json":"https://pith.science/pith/GIR6ZAFXWR776SQBQFQSRCYFGT.json","graph_json":"https://pith.science/api/pith-number/GIR6ZAFXWR776SQBQFQSRCYFGT/graph.json","events_json":"https://pith.science/api/pith-number/GIR6ZAFXWR776SQBQFQSRCYFGT/events.json","paper":"https://pith.science/paper/GIR6ZAFX"},"agent_actions":{"view_html":"https://pith.science/pith/GIR6ZAFXWR776SQBQFQSRCYFGT","download_json":"https://pith.science/pith/GIR6ZAFXWR776SQBQFQSRCYFGT.json","view_paper":"https://pith.science/paper/GIR6ZAFX","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1307.5163&json=true","fetch_graph":"https://pith.science/api/pith-number/GIR6ZAFXWR776SQBQFQSRCYFGT/graph.json","fetch_events":"https://pith.science/api/pith-number/GIR6ZAFXWR776SQBQFQSRCYFGT/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GIR6ZAFXWR776SQBQFQSRCYFGT/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GIR6ZAFXWR776SQBQFQSRCYFGT/action/storage_attestation","attest_author":"https://pith.science/pith/GIR6ZAFXWR776SQBQFQSRCYFGT/action/author_attestation","sign_citation":"https://pith.science/pith/GIR6ZAFXWR776SQBQFQSRCYFGT/action/citation_signature","submit_replication":"https://pith.science/pith/GIR6ZAFXWR776SQBQFQSRCYFGT/action/replication_record"}},"created_at":"2026-05-18T02:56:19.107486+00:00","updated_at":"2026-05-18T02:56:19.107486+00:00"}