{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:3EVPFLDOJ3UXENM744DSC3F6SH","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":"6519b9216f232ad8ef9a6d00749e080742bdb988981b3d54fe82ead4e8c4fc55","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2025-05-29T04:35:02Z","title_canon_sha256":"fc7e60647c2877ceb802615a2a167451cf7b3bcb6d2de6440ccabe8ccdee5500"},"schema_version":"1.0","source":{"id":"2505.23080","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2505.23080","created_at":"2026-07-05T11:11:55Z"},{"alias_kind":"arxiv_version","alias_value":"2505.23080v1","created_at":"2026-07-05T11:11:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2505.23080","created_at":"2026-07-05T11:11:55Z"},{"alias_kind":"pith_short_12","alias_value":"3EVPFLDOJ3UX","created_at":"2026-07-05T11:11:55Z"},{"alias_kind":"pith_short_16","alias_value":"3EVPFLDOJ3UXENM7","created_at":"2026-07-05T11:11:55Z"},{"alias_kind":"pith_short_8","alias_value":"3EVPFLDO","created_at":"2026-07-05T11:11:55Z"}],"graph_snapshots":[{"event_id":"sha256:838bf12683d2b624c36207e55a5a65831bce7c9a08ca28e17f2f6db32406ac06","target":"graph","created_at":"2026-07-05T11:11:55Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2505.23080/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study a stochastic control problem where the underlying process follows a spectrally negative L\\'{e}vy process. A controller can continuously increase the process but only decrease it at independent Poisson arrival times. We show the optimality of the double-barrier strategy, which increases the process whenever it would fall below some lower barrier and decreases it whenever it is observed above a higher barrier. An optimal strategy and the associated value function are written semi-explicitly using scale functions. Numerical results are also given.","authors_text":"Kazutoshi Yamazaki, Qingyuan Zhang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2025-05-29T04:35:02Z","title":"Optimal Periodic Double-Barrier Strategies for Spectrally Negative L\\'{e}vy Processes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2505.23080","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":"sha256:970ab56e15c17e5b5b28567de165ec3a663e58bfd718ee454706bbef0f64e243","target":"record","created_at":"2026-07-05T11:11:55Z","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":"6519b9216f232ad8ef9a6d00749e080742bdb988981b3d54fe82ead4e8c4fc55","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2025-05-29T04:35:02Z","title_canon_sha256":"fc7e60647c2877ceb802615a2a167451cf7b3bcb6d2de6440ccabe8ccdee5500"},"schema_version":"1.0","source":{"id":"2505.23080","kind":"arxiv","version":1}},"canonical_sha256":"d92af2ac6e4ee972359fe707216cbe91de8de3a180aec821857846ce89849e8e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d92af2ac6e4ee972359fe707216cbe91de8de3a180aec821857846ce89849e8e","first_computed_at":"2026-07-05T11:11:55.149657Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:11:55.149657Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PsF1kk0QvCmHfC8RFYwJJDZXXK0+BaTl+UOALfJV+Q2kxYr1FOfqQRcs4n6rfef2VURvQ3KMFU5qxLeoDiaIBg==","signature_status":"signed_v1","signed_at":"2026-07-05T11:11:55.150154Z","signed_message":"canonical_sha256_bytes"},"source_id":"2505.23080","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:970ab56e15c17e5b5b28567de165ec3a663e58bfd718ee454706bbef0f64e243","sha256:838bf12683d2b624c36207e55a5a65831bce7c9a08ca28e17f2f6db32406ac06"],"state_sha256":"8fec1fc99634e793aff130f25157a21080aea6ff0ce9fd0e827320e6e02fb1a3"}