{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:2LMIYWEQAKDB5PFDR2O4YA6GAW","short_pith_number":"pith:2LMIYWEQ","canonical_record":{"source":{"id":"1904.03286","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2019-04-05T21:35:06Z","cross_cats_sorted":[],"title_canon_sha256":"2343365e280529d87981d085c7689c586deb980323863f369b9ed5bbfa67800a","abstract_canon_sha256":"b2c4373b2af9e29da97d2f5928348ff4a460f56a24584475f0c8f765fee5c666"},"schema_version":"1.0"},"canonical_sha256":"d2d88c589002861ebca38e9dcc03c605a59f0c7084535a173fae925c0c2d383c","source":{"kind":"arxiv","id":"1904.03286","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1904.03286","created_at":"2026-05-17T23:47:50Z"},{"alias_kind":"arxiv_version","alias_value":"1904.03286v2","created_at":"2026-05-17T23:47:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1904.03286","created_at":"2026-05-17T23:47:50Z"},{"alias_kind":"pith_short_12","alias_value":"2LMIYWEQAKDB","created_at":"2026-05-18T12:33:07Z"},{"alias_kind":"pith_short_16","alias_value":"2LMIYWEQAKDB5PFD","created_at":"2026-05-18T12:33:07Z"},{"alias_kind":"pith_short_8","alias_value":"2LMIYWEQ","created_at":"2026-05-18T12:33:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:2LMIYWEQAKDB5PFDR2O4YA6GAW","target":"record","payload":{"canonical_record":{"source":{"id":"1904.03286","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2019-04-05T21:35:06Z","cross_cats_sorted":[],"title_canon_sha256":"2343365e280529d87981d085c7689c586deb980323863f369b9ed5bbfa67800a","abstract_canon_sha256":"b2c4373b2af9e29da97d2f5928348ff4a460f56a24584475f0c8f765fee5c666"},"schema_version":"1.0"},"canonical_sha256":"d2d88c589002861ebca38e9dcc03c605a59f0c7084535a173fae925c0c2d383c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:47:50.506968Z","signature_b64":"hgx5nlGs8w9CukZeUsQSc+DUF6+Dsu1u25HAUbz3JzT48TU9KIrQDvY/yDvcvy4ddA6trsbJS3QtBQWNetWgBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d2d88c589002861ebca38e9dcc03c605a59f0c7084535a173fae925c0c2d383c","last_reissued_at":"2026-05-17T23:47:50.506496Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:47:50.506496Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1904.03286","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:47:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"52gN/E6GAgh9nLHR/8ShuSKOCYVK1vgW8QWPXmbFv+g7qbLzRX/VHrzMTFMfVGD2913ePW85vrhokAY5i8B6Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T06:28:55.838294Z"},"content_sha256":"3c2825674fd049b5e7a7a0a29d30f227288881c367413016015ced180c91a749","schema_version":"1.0","event_id":"sha256:3c2825674fd049b5e7a7a0a29d30f227288881c367413016015ced180c91a749"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:2LMIYWEQAKDB5PFDR2O4YA6GAW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Draw-down Parisian ruin for spectrally negative L\\'{e}vy process","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Wenyuan Wang, Xiaowen Zhou","submitted_at":"2019-04-05T21:35:06Z","abstract_excerpt":"In this paper we study the draw-down related Parisian ruin problem for spectrally negative L\\'{e}vy risk processes. We introduce the draw-down Parisian ruin time and solve the corresponding two-sided exit time via excursion theory. We also obtain an expression of the potential measure for the process killed at the draw-down Parisian time. As applications, new results are obtained for spectrally negative L\\'{e}vy risk process with dividend barrier and Parisian ruin."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1904.03286","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:47:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"us3siWqK4WwIKwvzspOdSAc99n3B1dWvQb11aeorMixci2o9Ozlkn5rClNzD5+6KuQF/aQajuZPpT55nvm6fAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T06:28:55.838661Z"},"content_sha256":"b4562eb0109d6e4e752dccf609b18d406ba2f1a53c22afe13ee917d027df4200","schema_version":"1.0","event_id":"sha256:b4562eb0109d6e4e752dccf609b18d406ba2f1a53c22afe13ee917d027df4200"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2LMIYWEQAKDB5PFDR2O4YA6GAW/bundle.json","state_url":"https://pith.science/pith/2LMIYWEQAKDB5PFDR2O4YA6GAW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2LMIYWEQAKDB5PFDR2O4YA6GAW/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-28T06:28:55Z","links":{"resolver":"https://pith.science/pith/2LMIYWEQAKDB5PFDR2O4YA6GAW","bundle":"https://pith.science/pith/2LMIYWEQAKDB5PFDR2O4YA6GAW/bundle.json","state":"https://pith.science/pith/2LMIYWEQAKDB5PFDR2O4YA6GAW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2LMIYWEQAKDB5PFDR2O4YA6GAW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:2LMIYWEQAKDB5PFDR2O4YA6GAW","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":"b2c4373b2af9e29da97d2f5928348ff4a460f56a24584475f0c8f765fee5c666","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2019-04-05T21:35:06Z","title_canon_sha256":"2343365e280529d87981d085c7689c586deb980323863f369b9ed5bbfa67800a"},"schema_version":"1.0","source":{"id":"1904.03286","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1904.03286","created_at":"2026-05-17T23:47:50Z"},{"alias_kind":"arxiv_version","alias_value":"1904.03286v2","created_at":"2026-05-17T23:47:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1904.03286","created_at":"2026-05-17T23:47:50Z"},{"alias_kind":"pith_short_12","alias_value":"2LMIYWEQAKDB","created_at":"2026-05-18T12:33:07Z"},{"alias_kind":"pith_short_16","alias_value":"2LMIYWEQAKDB5PFD","created_at":"2026-05-18T12:33:07Z"},{"alias_kind":"pith_short_8","alias_value":"2LMIYWEQ","created_at":"2026-05-18T12:33:07Z"}],"graph_snapshots":[{"event_id":"sha256:b4562eb0109d6e4e752dccf609b18d406ba2f1a53c22afe13ee917d027df4200","target":"graph","created_at":"2026-05-17T23:47:50Z","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 study the draw-down related Parisian ruin problem for spectrally negative L\\'{e}vy risk processes. We introduce the draw-down Parisian ruin time and solve the corresponding two-sided exit time via excursion theory. We also obtain an expression of the potential measure for the process killed at the draw-down Parisian time. As applications, new results are obtained for spectrally negative L\\'{e}vy risk process with dividend barrier and Parisian ruin.","authors_text":"Wenyuan Wang, Xiaowen Zhou","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2019-04-05T21:35:06Z","title":"Draw-down Parisian ruin for spectrally negative L\\'{e}vy process"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1904.03286","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":"sha256:3c2825674fd049b5e7a7a0a29d30f227288881c367413016015ced180c91a749","target":"record","created_at":"2026-05-17T23:47:50Z","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":"b2c4373b2af9e29da97d2f5928348ff4a460f56a24584475f0c8f765fee5c666","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2019-04-05T21:35:06Z","title_canon_sha256":"2343365e280529d87981d085c7689c586deb980323863f369b9ed5bbfa67800a"},"schema_version":"1.0","source":{"id":"1904.03286","kind":"arxiv","version":2}},"canonical_sha256":"d2d88c589002861ebca38e9dcc03c605a59f0c7084535a173fae925c0c2d383c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d2d88c589002861ebca38e9dcc03c605a59f0c7084535a173fae925c0c2d383c","first_computed_at":"2026-05-17T23:47:50.506496Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:47:50.506496Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hgx5nlGs8w9CukZeUsQSc+DUF6+Dsu1u25HAUbz3JzT48TU9KIrQDvY/yDvcvy4ddA6trsbJS3QtBQWNetWgBQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:47:50.506968Z","signed_message":"canonical_sha256_bytes"},"source_id":"1904.03286","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3c2825674fd049b5e7a7a0a29d30f227288881c367413016015ced180c91a749","sha256:b4562eb0109d6e4e752dccf609b18d406ba2f1a53c22afe13ee917d027df4200"],"state_sha256":"687d318edc60449301400b9fccbb1227dfcf8b8634f1049434aa443fd68e0cf1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RkPEJpu7rGxnFm4baGQhFTMFbbicXefiqKsYHI8I9QlnsOC86K/zZs7iFsGW2ZcRnKDcnD5AK5iyUsRnH/tVDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T06:28:55.840674Z","bundle_sha256":"0b8a32d5e2d0a86f28519639b13c5f0f860af8d56d01cb69a6d89356b4d4ed6c"}}