{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:JKYRCQ2RMCHXQSLSBO5DQT4OBM","short_pith_number":"pith:JKYRCQ2R","schema_version":"1.0","canonical_sha256":"4ab1114351608f7849720bba384f8e0b02dcd58f40f76a55bf89b9d0441f3bf4","source":{"kind":"arxiv","id":"1105.0745","version":2},"attestation_state":"computed","paper":{"title":"Weak Dynamic Programming for Generalized State Constraints","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.SY","math.AP","math.PR","q-fin.RM"],"primary_cat":"math.OC","authors_text":"Bruno Bouchard, Marcel Nutz","submitted_at":"2011-05-04T07:23:10Z","abstract_excerpt":"We provide a dynamic programming principle for stochastic optimal control problems with expectation constraints. A weak formulation, using test functions and a probabilistic relaxation of the constraint, avoids restrictions related to a measurable selection but still implies the Hamilton-Jacobi-Bellman equation in the viscosity sense. We treat open state constraints as a special case of expectation constraints and prove a comparison theorem to obtain the equation for closed state constraints."},"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":"1105.0745","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2011-05-04T07:23:10Z","cross_cats_sorted":["cs.SY","math.AP","math.PR","q-fin.RM"],"title_canon_sha256":"462a1e69395c4eb10e73f641b1f4960d43b719106ee361a997bd06caea3eb96f","abstract_canon_sha256":"eb35602f3e0ae0ea6df3736472b7e53059e990b6f15e908b2688bc40c9a926e4"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:38:03.504950Z","signature_b64":"ZCNjy3YBbX2++F6dho89kmP/3sq61ONvGSk3SdO7v9iigBNkBFFVyvg5j1Y/NU7/qe5lXc8Zs6sfWXpoayYuCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4ab1114351608f7849720bba384f8e0b02dcd58f40f76a55bf89b9d0441f3bf4","last_reissued_at":"2026-05-18T03:38:03.504091Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:38:03.504091Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Weak Dynamic Programming for Generalized State Constraints","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.SY","math.AP","math.PR","q-fin.RM"],"primary_cat":"math.OC","authors_text":"Bruno Bouchard, Marcel Nutz","submitted_at":"2011-05-04T07:23:10Z","abstract_excerpt":"We provide a dynamic programming principle for stochastic optimal control problems with expectation constraints. A weak formulation, using test functions and a probabilistic relaxation of the constraint, avoids restrictions related to a measurable selection but still implies the Hamilton-Jacobi-Bellman equation in the viscosity sense. We treat open state constraints as a special case of expectation constraints and prove a comparison theorem to obtain the equation for closed state constraints."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1105.0745","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":"1105.0745","created_at":"2026-05-18T03:38:03.504233+00:00"},{"alias_kind":"arxiv_version","alias_value":"1105.0745v2","created_at":"2026-05-18T03:38:03.504233+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1105.0745","created_at":"2026-05-18T03:38:03.504233+00:00"},{"alias_kind":"pith_short_12","alias_value":"JKYRCQ2RMCHX","created_at":"2026-05-18T12:26:32.869790+00:00"},{"alias_kind":"pith_short_16","alias_value":"JKYRCQ2RMCHXQSLS","created_at":"2026-05-18T12:26:32.869790+00:00"},{"alias_kind":"pith_short_8","alias_value":"JKYRCQ2R","created_at":"2026-05-18T12:26:32.869790+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/JKYRCQ2RMCHXQSLSBO5DQT4OBM","json":"https://pith.science/pith/JKYRCQ2RMCHXQSLSBO5DQT4OBM.json","graph_json":"https://pith.science/api/pith-number/JKYRCQ2RMCHXQSLSBO5DQT4OBM/graph.json","events_json":"https://pith.science/api/pith-number/JKYRCQ2RMCHXQSLSBO5DQT4OBM/events.json","paper":"https://pith.science/paper/JKYRCQ2R"},"agent_actions":{"view_html":"https://pith.science/pith/JKYRCQ2RMCHXQSLSBO5DQT4OBM","download_json":"https://pith.science/pith/JKYRCQ2RMCHXQSLSBO5DQT4OBM.json","view_paper":"https://pith.science/paper/JKYRCQ2R","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1105.0745&json=true","fetch_graph":"https://pith.science/api/pith-number/JKYRCQ2RMCHXQSLSBO5DQT4OBM/graph.json","fetch_events":"https://pith.science/api/pith-number/JKYRCQ2RMCHXQSLSBO5DQT4OBM/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/JKYRCQ2RMCHXQSLSBO5DQT4OBM/action/timestamp_anchor","attest_storage":"https://pith.science/pith/JKYRCQ2RMCHXQSLSBO5DQT4OBM/action/storage_attestation","attest_author":"https://pith.science/pith/JKYRCQ2RMCHXQSLSBO5DQT4OBM/action/author_attestation","sign_citation":"https://pith.science/pith/JKYRCQ2RMCHXQSLSBO5DQT4OBM/action/citation_signature","submit_replication":"https://pith.science/pith/JKYRCQ2RMCHXQSLSBO5DQT4OBM/action/replication_record"}},"created_at":"2026-05-18T03:38:03.504233+00:00","updated_at":"2026-05-18T03:38:03.504233+00:00"}