{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:6VMMIRX7A62MOJGKVPOUOEIL2W","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":"405a4bf0dba4a86537ffc6e8e3f30ac8f3936bfd7e8a0915c4820d0c142e940a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-03-30T13:57:45Z","title_canon_sha256":"59208c7a8b7dfc30dc81934a7b36e5670afac3f66bc61d0be8a1824f27ed8861"},"schema_version":"1.0","source":{"id":"1403.7761","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.7761","created_at":"2026-05-18T00:42:22Z"},{"alias_kind":"arxiv_version","alias_value":"1403.7761v2","created_at":"2026-05-18T00:42:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.7761","created_at":"2026-05-18T00:42:22Z"},{"alias_kind":"pith_short_12","alias_value":"6VMMIRX7A62M","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_16","alias_value":"6VMMIRX7A62MOJGK","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_8","alias_value":"6VMMIRX7","created_at":"2026-05-18T12:28:16Z"}],"graph_snapshots":[{"event_id":"sha256:9c52afa2f684ca289c7a3ad72e16c0e234c919e51815dc82a729e2e70013afc9","target":"graph","created_at":"2026-05-18T00:42:22Z","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 paper we evaluate the probability of the discrete time Parisian ruin that occurs when surplus process stays below or at zero at least for some fixed duration of time $d>0$. We identify expressions for the ruin probabilities within finite and infinite-time horizon. We also find their light and heavy-tailed asymptotics when initial reserves approach infinity. Finally, we calculate these probabilities for a few explicit examples.","authors_text":"Irmina Czarna, Przemys{\\l}aw \\'Swiatek, Zbigniew Palmowski","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-03-30T13:57:45Z","title":"Discrete time ruin probability with Parisian delay"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.7761","kind":"arxiv","version":2},"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":"sha256:0b1f7f9ec9f4bad415f46a429b650c181a8849d131a9af14b6d23c5826648c63","target":"record","created_at":"2026-05-18T00:42:22Z","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":"405a4bf0dba4a86537ffc6e8e3f30ac8f3936bfd7e8a0915c4820d0c142e940a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-03-30T13:57:45Z","title_canon_sha256":"59208c7a8b7dfc30dc81934a7b36e5670afac3f66bc61d0be8a1824f27ed8861"},"schema_version":"1.0","source":{"id":"1403.7761","kind":"arxiv","version":2}},"canonical_sha256":"f558c446ff07b4c724caabdd47110bd5995878d3b210636ad8c362dec95413d7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f558c446ff07b4c724caabdd47110bd5995878d3b210636ad8c362dec95413d7","first_computed_at":"2026-05-18T00:42:22.164795Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:42:22.164795Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"L8VaOnKZYiurWef0uxdo8rIcVNraEZTvd1lbflEueEGDv/km/LwWLJupm4GrSRyVu3jw9c3KnleSjaTUjr9pDw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:42:22.165451Z","signed_message":"canonical_sha256_bytes"},"source_id":"1403.7761","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0b1f7f9ec9f4bad415f46a429b650c181a8849d131a9af14b6d23c5826648c63","sha256:9c52afa2f684ca289c7a3ad72e16c0e234c919e51815dc82a729e2e70013afc9"],"state_sha256":"760332d7956553440b693ba8d8017f98a4e03dddcf230e7e70c3d41c60c803be"}