{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:7HSHE5XMEWBVXKDKZLVQG3UFO4","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":"d2db09303d3d715a5ffae54fca1c6ac270bff1610686939aedec910c151fa52f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-01-31T07:33:45Z","title_canon_sha256":"b203f5c2271f82d5bf253e83679f28db9f9a2a56d04a0d99e816e65024c62019"},"schema_version":"1.0","source":{"id":"1301.7525","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1301.7525","created_at":"2026-05-18T03:07:23Z"},{"alias_kind":"arxiv_version","alias_value":"1301.7525v3","created_at":"2026-05-18T03:07:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.7525","created_at":"2026-05-18T03:07:23Z"},{"alias_kind":"pith_short_12","alias_value":"7HSHE5XMEWBV","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_16","alias_value":"7HSHE5XMEWBVXKDK","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_8","alias_value":"7HSHE5XM","created_at":"2026-05-18T12:27:36Z"}],"graph_snapshots":[{"event_id":"sha256:120d050274d6fb78dee3d2edb255c5d261d2bb22763fe1a6f2db3e27c0f373ae","target":"graph","created_at":"2026-05-18T03:07:23Z","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":"We analyze the optimal dividend payment problem in the dual model under constant transaction costs. We show, for a general spectrally positive L\\'{e}vy process, an optimal strategy is given by a $(c_1,c_2)$-policy that brings the surplus process down to $c_1$ whenever it reaches or exceeds $c_2$ for some $0 \\leq c_1 < c_2$. The value function is succinctly expressed in terms of the scale function. A series of numerical examples are provided to confirm the analytical results and to demonstrate the convergence to the no-transaction cost case, which was recently solved by Bayraktar et al. (2013).","authors_text":"Andreas Kyprianou, Erhan Bayraktar, Kazutoshi Yamazaki","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-01-31T07:33:45Z","title":"Optimal dividends in the dual model under transaction costs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.7525","kind":"arxiv","version":3},"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":"sha256:4afd41cc84589c4d105f772cff6dea4f0f022b9a408e1a9fb480a300645ef1bd","target":"record","created_at":"2026-05-18T03:07:23Z","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":"d2db09303d3d715a5ffae54fca1c6ac270bff1610686939aedec910c151fa52f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-01-31T07:33:45Z","title_canon_sha256":"b203f5c2271f82d5bf253e83679f28db9f9a2a56d04a0d99e816e65024c62019"},"schema_version":"1.0","source":{"id":"1301.7525","kind":"arxiv","version":3}},"canonical_sha256":"f9e47276ec25835ba86acaeb036e857710bd264c25d597874ddc090db8c390e8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f9e47276ec25835ba86acaeb036e857710bd264c25d597874ddc090db8c390e8","first_computed_at":"2026-05-18T03:07:23.712799Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:07:23.712799Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gjpgjVV3dfkGGIjGJlIt+eoT7Za4GrKiEKnNmwqvPTDH5sMwL4FGRQYF6xYpyMcTkme3ct0eEWScQBdA9KvcCw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:07:23.713435Z","signed_message":"canonical_sha256_bytes"},"source_id":"1301.7525","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4afd41cc84589c4d105f772cff6dea4f0f022b9a408e1a9fb480a300645ef1bd","sha256:120d050274d6fb78dee3d2edb255c5d261d2bb22763fe1a6f2db3e27c0f373ae"],"state_sha256":"d797da595fea55d2d8d4d0b2c9b69f057a9a4b01030c1fa5b9fa93d55688a480"}