{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:3CSZTXKRD776JUOH6SCIYRJSXQ","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":"2d05a56cc15b5f96ee454ca813522a1da5bf6051eda05c2ac931466afb7a56ea","cross_cats_sorted":["math.PR","q-fin.MF"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2016-05-17T01:20:03Z","title_canon_sha256":"d0f1bc251d50c58c0696c3c873a96e30edd63d8f52ad33e3d529c965d0561123"},"schema_version":"1.0","source":{"id":"1605.04995","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1605.04995","created_at":"2026-05-18T01:14:37Z"},{"alias_kind":"arxiv_version","alias_value":"1605.04995v1","created_at":"2026-05-18T01:14:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.04995","created_at":"2026-05-18T01:14:37Z"},{"alias_kind":"pith_short_12","alias_value":"3CSZTXKRD776","created_at":"2026-05-18T12:29:55Z"},{"alias_kind":"pith_short_16","alias_value":"3CSZTXKRD776JUOH","created_at":"2026-05-18T12:29:55Z"},{"alias_kind":"pith_short_8","alias_value":"3CSZTXKR","created_at":"2026-05-18T12:29:55Z"}],"graph_snapshots":[{"event_id":"sha256:2119de53aa10f9ed06004d10a4dd556ce2c36f2825db7b33973840dd221c204c","target":"graph","created_at":"2026-05-18T01:14:37Z","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":"In this note, we study a class of stochastic control problems where the optimal strategies are described by two parameters. These include a subset of singular control, impulse control, and two-player stochastic games. The parameters are first chosen by the two continuous/smooth fit conditions, and then the optimality of the corresponding strategy is shown by verification arguments. Under the setting driven by a spectrally one-sided Levy process, these procedures can be efficiently done thanks to the recent developments of scale functions. In this note, we illustrate these techniques using seve","authors_text":"Kazutoshi Yamazaki","cross_cats":["math.PR","q-fin.MF"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2016-05-17T01:20:03Z","title":"Optimality of two-parameter strategies in stochastic control"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.04995","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":"sha256:1d8344757d760dd285d71c4ca21d3ff9723f8319cd479c63d3cd64778004b8e0","target":"record","created_at":"2026-05-18T01:14:37Z","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":"2d05a56cc15b5f96ee454ca813522a1da5bf6051eda05c2ac931466afb7a56ea","cross_cats_sorted":["math.PR","q-fin.MF"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2016-05-17T01:20:03Z","title_canon_sha256":"d0f1bc251d50c58c0696c3c873a96e30edd63d8f52ad33e3d529c965d0561123"},"schema_version":"1.0","source":{"id":"1605.04995","kind":"arxiv","version":1}},"canonical_sha256":"d8a599dd511fffe4d1c7f4848c4532bc27729742a83992aa037e25e47838030b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d8a599dd511fffe4d1c7f4848c4532bc27729742a83992aa037e25e47838030b","first_computed_at":"2026-05-18T01:14:37.749244Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:14:37.749244Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Z814OhxyM+/Chh/M+2D5EhHk/HwjPVlQG9o5bzOYpPthC1YMJqVaXyHKS0QgN8i3nzl0liMTd8UAfEiHQM4fCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:14:37.750085Z","signed_message":"canonical_sha256_bytes"},"source_id":"1605.04995","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1d8344757d760dd285d71c4ca21d3ff9723f8319cd479c63d3cd64778004b8e0","sha256:2119de53aa10f9ed06004d10a4dd556ce2c36f2825db7b33973840dd221c204c"],"state_sha256":"d042a77d3f0cb6efbfdb85cdb50fc05271eadc4d5813496ebb7ddef7d00b1ea7"}