{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:QXASSFRCFPBT2DI6JNCO7GDZTA","short_pith_number":"pith:QXASSFRC","schema_version":"1.0","canonical_sha256":"85c12916222bc33d0d1e4b44ef9879982a9f58a565d8dee0bd922a150d1cc377","source":{"kind":"arxiv","id":"1902.06539","version":2},"attestation_state":"computed","paper":{"title":"Singular control of SPDEs with space-mean dynamics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Astrid Hilbert, Bernt {\\O}ksendal, Nacira Agram","submitted_at":"2019-02-18T12:20:34Z","abstract_excerpt":"We consider the problem of optimal singular control of a stochastic partial differential equation (SPDE) with space-mean dependence. Such systems are proposed as models for population growth in a random environment. We obtain sufficient and necessary maximum principles for such control problems. The corresponding adjoint equation is a reflected backward stochastic partial differential equation (BSPDE) with space-mean dependence. We prove existence and uniqueness results for such equations. As an application we study optimal harvesting from a population modelled as an SPDE with space-mean depen"},"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":"1902.06539","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2019-02-18T12:20:34Z","cross_cats_sorted":[],"title_canon_sha256":"b16b88f5732599ce2b296b27fd895e4110c009fc199872c0a785ee0cee1c2821","abstract_canon_sha256":"adcc8d95faeb687eb8a6b944dbd08c672c048e8efa3f060d7a83b05fc4a3f24b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:47:01.818684Z","signature_b64":"NaPa5zxUEBTCI3acsl2Ep0PPMiPq3qtVdnUZy9evUiPJgeoHJDz81h9KfGiBBG468zaij7TZlI8VN4u5SRuMBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"85c12916222bc33d0d1e4b44ef9879982a9f58a565d8dee0bd922a150d1cc377","last_reissued_at":"2026-05-17T23:47:01.817978Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:47:01.817978Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Singular control of SPDEs with space-mean dynamics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Astrid Hilbert, Bernt {\\O}ksendal, Nacira Agram","submitted_at":"2019-02-18T12:20:34Z","abstract_excerpt":"We consider the problem of optimal singular control of a stochastic partial differential equation (SPDE) with space-mean dependence. Such systems are proposed as models for population growth in a random environment. We obtain sufficient and necessary maximum principles for such control problems. The corresponding adjoint equation is a reflected backward stochastic partial differential equation (BSPDE) with space-mean dependence. We prove existence and uniqueness results for such equations. As an application we study optimal harvesting from a population modelled as an SPDE with space-mean depen"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1902.06539","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":"1902.06539","created_at":"2026-05-17T23:47:01.818108+00:00"},{"alias_kind":"arxiv_version","alias_value":"1902.06539v2","created_at":"2026-05-17T23:47:01.818108+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1902.06539","created_at":"2026-05-17T23:47:01.818108+00:00"},{"alias_kind":"pith_short_12","alias_value":"QXASSFRCFPBT","created_at":"2026-05-18T12:33:27.125529+00:00"},{"alias_kind":"pith_short_16","alias_value":"QXASSFRCFPBT2DI6","created_at":"2026-05-18T12:33:27.125529+00:00"},{"alias_kind":"pith_short_8","alias_value":"QXASSFRC","created_at":"2026-05-18T12:33:27.125529+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/QXASSFRCFPBT2DI6JNCO7GDZTA","json":"https://pith.science/pith/QXASSFRCFPBT2DI6JNCO7GDZTA.json","graph_json":"https://pith.science/api/pith-number/QXASSFRCFPBT2DI6JNCO7GDZTA/graph.json","events_json":"https://pith.science/api/pith-number/QXASSFRCFPBT2DI6JNCO7GDZTA/events.json","paper":"https://pith.science/paper/QXASSFRC"},"agent_actions":{"view_html":"https://pith.science/pith/QXASSFRCFPBT2DI6JNCO7GDZTA","download_json":"https://pith.science/pith/QXASSFRCFPBT2DI6JNCO7GDZTA.json","view_paper":"https://pith.science/paper/QXASSFRC","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1902.06539&json=true","fetch_graph":"https://pith.science/api/pith-number/QXASSFRCFPBT2DI6JNCO7GDZTA/graph.json","fetch_events":"https://pith.science/api/pith-number/QXASSFRCFPBT2DI6JNCO7GDZTA/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QXASSFRCFPBT2DI6JNCO7GDZTA/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QXASSFRCFPBT2DI6JNCO7GDZTA/action/storage_attestation","attest_author":"https://pith.science/pith/QXASSFRCFPBT2DI6JNCO7GDZTA/action/author_attestation","sign_citation":"https://pith.science/pith/QXASSFRCFPBT2DI6JNCO7GDZTA/action/citation_signature","submit_replication":"https://pith.science/pith/QXASSFRCFPBT2DI6JNCO7GDZTA/action/replication_record"}},"created_at":"2026-05-17T23:47:01.818108+00:00","updated_at":"2026-05-17T23:47:01.818108+00:00"}