{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:CJQUQGXYSC42LB4GYUQTBQTGRB","short_pith_number":"pith:CJQUQGXY","schema_version":"1.0","canonical_sha256":"1261481af890b9a58786c52130c266885dd82a0e3f0db282897a35119afe8adc","source":{"kind":"arxiv","id":"1609.01671","version":2},"attestation_state":"computed","paper":{"title":"Mixed Periodic-classical barrier strategies for L\\'evy risk processes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Jos\\'e-Luis P\\'erez, Kazutoshi Yamazaki","submitted_at":"2016-09-06T17:51:05Z","abstract_excerpt":"Given a spectrally negative L\\'evy process and independent Poisson observation times, we consider a periodic barrier strategy that pushes the process down to a certain level whenever it is above it. We also consider the versions with additional classical reflection above and/or below. Using scale functions and excursion theory, various fluctuation identities are computed in terms of the scale function. Applications in de Finetti's dividend problems are also discussed."},"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":"1609.01671","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2016-09-06T17:51:05Z","cross_cats_sorted":[],"title_canon_sha256":"edf1b7f13c91c730b4b2543a850c0a6bb7bb7511419b22d100b8d091a402821a","abstract_canon_sha256":"4089ab0aab5718cfb625552e47dbc152673b9483510569225f764ac31cad8ee9"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:26:21.483252Z","signature_b64":"DqSt2kSdsBC7M1NtPAJaqBjc7ONeardDIz0GjrNwn1x7Zcc5zLX0RDJLQ6JNrwRemOQd5aQGlWifmnz7IjDiCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1261481af890b9a58786c52130c266885dd82a0e3f0db282897a35119afe8adc","last_reissued_at":"2026-05-18T00:26:21.482630Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:26:21.482630Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Mixed Periodic-classical barrier strategies for L\\'evy risk processes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Jos\\'e-Luis P\\'erez, Kazutoshi Yamazaki","submitted_at":"2016-09-06T17:51:05Z","abstract_excerpt":"Given a spectrally negative L\\'evy process and independent Poisson observation times, we consider a periodic barrier strategy that pushes the process down to a certain level whenever it is above it. We also consider the versions with additional classical reflection above and/or below. Using scale functions and excursion theory, various fluctuation identities are computed in terms of the scale function. Applications in de Finetti's dividend problems are also discussed."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.01671","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":"1609.01671","created_at":"2026-05-18T00:26:21.482722+00:00"},{"alias_kind":"arxiv_version","alias_value":"1609.01671v2","created_at":"2026-05-18T00:26:21.482722+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.01671","created_at":"2026-05-18T00:26:21.482722+00:00"},{"alias_kind":"pith_short_12","alias_value":"CJQUQGXYSC42","created_at":"2026-05-18T12:30:09.641336+00:00"},{"alias_kind":"pith_short_16","alias_value":"CJQUQGXYSC42LB4G","created_at":"2026-05-18T12:30:09.641336+00:00"},{"alias_kind":"pith_short_8","alias_value":"CJQUQGXY","created_at":"2026-05-18T12:30:09.641336+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/CJQUQGXYSC42LB4GYUQTBQTGRB","json":"https://pith.science/pith/CJQUQGXYSC42LB4GYUQTBQTGRB.json","graph_json":"https://pith.science/api/pith-number/CJQUQGXYSC42LB4GYUQTBQTGRB/graph.json","events_json":"https://pith.science/api/pith-number/CJQUQGXYSC42LB4GYUQTBQTGRB/events.json","paper":"https://pith.science/paper/CJQUQGXY"},"agent_actions":{"view_html":"https://pith.science/pith/CJQUQGXYSC42LB4GYUQTBQTGRB","download_json":"https://pith.science/pith/CJQUQGXYSC42LB4GYUQTBQTGRB.json","view_paper":"https://pith.science/paper/CJQUQGXY","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1609.01671&json=true","fetch_graph":"https://pith.science/api/pith-number/CJQUQGXYSC42LB4GYUQTBQTGRB/graph.json","fetch_events":"https://pith.science/api/pith-number/CJQUQGXYSC42LB4GYUQTBQTGRB/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/CJQUQGXYSC42LB4GYUQTBQTGRB/action/timestamp_anchor","attest_storage":"https://pith.science/pith/CJQUQGXYSC42LB4GYUQTBQTGRB/action/storage_attestation","attest_author":"https://pith.science/pith/CJQUQGXYSC42LB4GYUQTBQTGRB/action/author_attestation","sign_citation":"https://pith.science/pith/CJQUQGXYSC42LB4GYUQTBQTGRB/action/citation_signature","submit_replication":"https://pith.science/pith/CJQUQGXYSC42LB4GYUQTBQTGRB/action/replication_record"}},"created_at":"2026-05-18T00:26:21.482722+00:00","updated_at":"2026-05-18T00:26:21.482722+00:00"}