{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:RL2G3YZYBZTO6RQGPVL7IR4MMA","short_pith_number":"pith:RL2G3YZY","schema_version":"1.0","canonical_sha256":"8af46de3380e66ef46067d57f4478c6005dc342fe1e3b2ef465c502b6e8d1ca1","source":{"kind":"arxiv","id":"1102.4055","version":2},"attestation_state":"computed","paper":{"title":"Parisian ruin probability for spectrally negative L\\'{e}vy processes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.ST","q-fin.RM","stat.TH"],"primary_cat":"math.PR","authors_text":"Irmina Czarna, Ronnie Loeffen, Zbigniew Palmowski","submitted_at":"2011-02-20T09:33:00Z","abstract_excerpt":"In this note we give, for a spectrally negative Levy process, a compact formula for the Parisian ruin probability, which is defined by the probability that the process exhibits an excursion below zero, with a length that exceeds a certain fixed period r. The formula involves only the scale function of the spectrally negative Levy process and the distribution of the process at time r."},"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":"1102.4055","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2011-02-20T09:33:00Z","cross_cats_sorted":["math.ST","q-fin.RM","stat.TH"],"title_canon_sha256":"727b996baa3d4a5154524c1d4a1bdd500130977a02773d472e530cf6345dee18","abstract_canon_sha256":"cdc41077c2118c4ed87970277ce94ce1e1e37cd30896d9a87915e5d8af7cc5d8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:30:15.162896Z","signature_b64":"0OowDM8wSLC5ewC2+iseWpqs9sWvMdLmN7xHlLUZlFAX4KLTWCI/3wtwBfo6sm/dgQxg9mwKszNyhKRcQTabAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8af46de3380e66ef46067d57f4478c6005dc342fe1e3b2ef465c502b6e8d1ca1","last_reissued_at":"2026-05-18T03:30:15.162000Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:30:15.162000Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Parisian ruin probability for spectrally negative L\\'{e}vy processes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.ST","q-fin.RM","stat.TH"],"primary_cat":"math.PR","authors_text":"Irmina Czarna, Ronnie Loeffen, Zbigniew Palmowski","submitted_at":"2011-02-20T09:33:00Z","abstract_excerpt":"In this note we give, for a spectrally negative Levy process, a compact formula for the Parisian ruin probability, which is defined by the probability that the process exhibits an excursion below zero, with a length that exceeds a certain fixed period r. The formula involves only the scale function of the spectrally negative Levy process and the distribution of the process at time r."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1102.4055","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":"1102.4055","created_at":"2026-05-18T03:30:15.162156+00:00"},{"alias_kind":"arxiv_version","alias_value":"1102.4055v2","created_at":"2026-05-18T03:30:15.162156+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1102.4055","created_at":"2026-05-18T03:30:15.162156+00:00"},{"alias_kind":"pith_short_12","alias_value":"RL2G3YZYBZTO","created_at":"2026-05-18T12:26:41.206345+00:00"},{"alias_kind":"pith_short_16","alias_value":"RL2G3YZYBZTO6RQG","created_at":"2026-05-18T12:26:41.206345+00:00"},{"alias_kind":"pith_short_8","alias_value":"RL2G3YZY","created_at":"2026-05-18T12:26:41.206345+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/RL2G3YZYBZTO6RQGPVL7IR4MMA","json":"https://pith.science/pith/RL2G3YZYBZTO6RQGPVL7IR4MMA.json","graph_json":"https://pith.science/api/pith-number/RL2G3YZYBZTO6RQGPVL7IR4MMA/graph.json","events_json":"https://pith.science/api/pith-number/RL2G3YZYBZTO6RQGPVL7IR4MMA/events.json","paper":"https://pith.science/paper/RL2G3YZY"},"agent_actions":{"view_html":"https://pith.science/pith/RL2G3YZYBZTO6RQGPVL7IR4MMA","download_json":"https://pith.science/pith/RL2G3YZYBZTO6RQGPVL7IR4MMA.json","view_paper":"https://pith.science/paper/RL2G3YZY","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1102.4055&json=true","fetch_graph":"https://pith.science/api/pith-number/RL2G3YZYBZTO6RQGPVL7IR4MMA/graph.json","fetch_events":"https://pith.science/api/pith-number/RL2G3YZYBZTO6RQGPVL7IR4MMA/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/RL2G3YZYBZTO6RQGPVL7IR4MMA/action/timestamp_anchor","attest_storage":"https://pith.science/pith/RL2G3YZYBZTO6RQGPVL7IR4MMA/action/storage_attestation","attest_author":"https://pith.science/pith/RL2G3YZYBZTO6RQGPVL7IR4MMA/action/author_attestation","sign_citation":"https://pith.science/pith/RL2G3YZYBZTO6RQGPVL7IR4MMA/action/citation_signature","submit_replication":"https://pith.science/pith/RL2G3YZYBZTO6RQGPVL7IR4MMA/action/replication_record"}},"created_at":"2026-05-18T03:30:15.162156+00:00","updated_at":"2026-05-18T03:30:15.162156+00:00"}