{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:XS2CWOXSZ7IQEHDBDHWUQLVJQ4","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":"1535786ac8179ab85537b6f1d4e2bf61608d6ff38270a399ddf650ab7c872860","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-11-10T09:36:48Z","title_canon_sha256":"16d6c372ed9bc494e1b7b814fc1eb4ba11ea16eb87e49534dacb0d438b2a8532"},"schema_version":"1.0","source":{"id":"1711.03741","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1711.03741","created_at":"2026-05-18T00:30:51Z"},{"alias_kind":"arxiv_version","alias_value":"1711.03741v1","created_at":"2026-05-18T00:30:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.03741","created_at":"2026-05-18T00:30:51Z"},{"alias_kind":"pith_short_12","alias_value":"XS2CWOXSZ7IQ","created_at":"2026-05-18T12:31:56Z"},{"alias_kind":"pith_short_16","alias_value":"XS2CWOXSZ7IQEHDB","created_at":"2026-05-18T12:31:56Z"},{"alias_kind":"pith_short_8","alias_value":"XS2CWOXS","created_at":"2026-05-18T12:31:56Z"}],"graph_snapshots":[{"event_id":"sha256:e2180b6275fe590a71063e99a0af703b5de7bc949fa6a31fc1ffd0eb36bb144d","target":"graph","created_at":"2026-05-18T00:30:51Z","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":"Reflected diffusions naturally arise in many problems from applications ranging from economics and mathematical biology to queueing theory. In this paper we consider a class of infinite time-horizon singular stochastic control problems for a general one-dimensional diffusion that is reflected at zero. We assume that exerting control leads to a state-dependent instantaneous reward, whereas reflecting the diffusion at zero gives rise to a proportional cost with constant marginal value. The aim is to maximize the total expected reward, minus the total expected cost of reflection. We show that dep","authors_text":"Giorgio Ferrari","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-11-10T09:36:48Z","title":"On a Class of Singular Stochastic Control Problems for Reflected Diffusions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.03741","kind":"arxiv","version":1},"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:da26323605c13cbb3a2a816f53ff31947131cd99166026d67e1fc2b35cd3c04f","target":"record","created_at":"2026-05-18T00:30:51Z","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":"1535786ac8179ab85537b6f1d4e2bf61608d6ff38270a399ddf650ab7c872860","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-11-10T09:36:48Z","title_canon_sha256":"16d6c372ed9bc494e1b7b814fc1eb4ba11ea16eb87e49534dacb0d438b2a8532"},"schema_version":"1.0","source":{"id":"1711.03741","kind":"arxiv","version":1}},"canonical_sha256":"bcb42b3af2cfd1021c6119ed482ea9872be744b072f531b6c10f4adbe602239a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bcb42b3af2cfd1021c6119ed482ea9872be744b072f531b6c10f4adbe602239a","first_computed_at":"2026-05-18T00:30:51.565790Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:30:51.565790Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dOXxzzjvq/6uoYESlmC4tWmTQZGHF6slXtUnwrJ05IZtzdD0ri40lDe/Vn6WZnMtz8Ia140eKGut43bhEQKSDA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:30:51.566329Z","signed_message":"canonical_sha256_bytes"},"source_id":"1711.03741","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:da26323605c13cbb3a2a816f53ff31947131cd99166026d67e1fc2b35cd3c04f","sha256:e2180b6275fe590a71063e99a0af703b5de7bc949fa6a31fc1ffd0eb36bb144d"],"state_sha256":"7b528a358e72076d271d41367743656b728bdfc727bf18ba620d83e646bd78a8"}