{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:5R46TBKAGYFG6OXZ5RZTHQEVBU","short_pith_number":"pith:5R46TBKA","schema_version":"1.0","canonical_sha256":"ec79e98540360a6f3af9ec7333c0950d28f65a21e307df29b76b7e0dd59c60cb","source":{"kind":"arxiv","id":"1706.03724","version":1},"attestation_state":"computed","paper":{"title":"Beating the Omega Clock: An Optimal Stopping Problem with Random Time-horizon under Spectrally Negative L\\'evy Models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"q-fin.MF","authors_text":"Hongzhong Zhang, Neofytos Rodosthenous","submitted_at":"2017-06-12T16:52:45Z","abstract_excerpt":"We study the optimal stopping of an American call option in a random time-horizon under exponential spectrally negative L\\'evy models. The random time-horizon is modeled as the so-called Omega default clock in insurance, which is the first time when the occupation time of the underlying L\\'evy process below a level $y$, exceeds an independent exponential random variable with mean $1/q>0$. We show that the shape of the value function varies qualitatively with different values of $q$ and $y$. In particular, we show that for certain values of $q$ and $y$, some quantitatively different but traditi"},"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":"1706.03724","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.MF","submitted_at":"2017-06-12T16:52:45Z","cross_cats_sorted":[],"title_canon_sha256":"66118ffd4aeb39ba4213435ca1672c309fa358f890e1b121afc47c1453519308","abstract_canon_sha256":"c73b07360b1651c8a28423fcc8f821a022316207ef447752d81c4319c242f9c7"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:08:31.507976Z","signature_b64":"PitBV8or+2s5HSmw6RAU25fb8Dm9Ple3w0mot34bdzFiDIIsCuRvTfMzjDGzcGLtv8S3PEdyp43y2RIpOGCZBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ec79e98540360a6f3af9ec7333c0950d28f65a21e307df29b76b7e0dd59c60cb","last_reissued_at":"2026-05-18T00:08:31.507386Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:08:31.507386Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Beating the Omega Clock: An Optimal Stopping Problem with Random Time-horizon under Spectrally Negative L\\'evy Models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"q-fin.MF","authors_text":"Hongzhong Zhang, Neofytos Rodosthenous","submitted_at":"2017-06-12T16:52:45Z","abstract_excerpt":"We study the optimal stopping of an American call option in a random time-horizon under exponential spectrally negative L\\'evy models. The random time-horizon is modeled as the so-called Omega default clock in insurance, which is the first time when the occupation time of the underlying L\\'evy process below a level $y$, exceeds an independent exponential random variable with mean $1/q>0$. We show that the shape of the value function varies qualitatively with different values of $q$ and $y$. In particular, we show that for certain values of $q$ and $y$, some quantitatively different but traditi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.03724","kind":"arxiv","version":1},"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":"1706.03724","created_at":"2026-05-18T00:08:31.507457+00:00"},{"alias_kind":"arxiv_version","alias_value":"1706.03724v1","created_at":"2026-05-18T00:08:31.507457+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.03724","created_at":"2026-05-18T00:08:31.507457+00:00"},{"alias_kind":"pith_short_12","alias_value":"5R46TBKAGYFG","created_at":"2026-05-18T12:31:00.734936+00:00"},{"alias_kind":"pith_short_16","alias_value":"5R46TBKAGYFG6OXZ","created_at":"2026-05-18T12:31:00.734936+00:00"},{"alias_kind":"pith_short_8","alias_value":"5R46TBKA","created_at":"2026-05-18T12:31:00.734936+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/5R46TBKAGYFG6OXZ5RZTHQEVBU","json":"https://pith.science/pith/5R46TBKAGYFG6OXZ5RZTHQEVBU.json","graph_json":"https://pith.science/api/pith-number/5R46TBKAGYFG6OXZ5RZTHQEVBU/graph.json","events_json":"https://pith.science/api/pith-number/5R46TBKAGYFG6OXZ5RZTHQEVBU/events.json","paper":"https://pith.science/paper/5R46TBKA"},"agent_actions":{"view_html":"https://pith.science/pith/5R46TBKAGYFG6OXZ5RZTHQEVBU","download_json":"https://pith.science/pith/5R46TBKAGYFG6OXZ5RZTHQEVBU.json","view_paper":"https://pith.science/paper/5R46TBKA","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1706.03724&json=true","fetch_graph":"https://pith.science/api/pith-number/5R46TBKAGYFG6OXZ5RZTHQEVBU/graph.json","fetch_events":"https://pith.science/api/pith-number/5R46TBKAGYFG6OXZ5RZTHQEVBU/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/5R46TBKAGYFG6OXZ5RZTHQEVBU/action/timestamp_anchor","attest_storage":"https://pith.science/pith/5R46TBKAGYFG6OXZ5RZTHQEVBU/action/storage_attestation","attest_author":"https://pith.science/pith/5R46TBKAGYFG6OXZ5RZTHQEVBU/action/author_attestation","sign_citation":"https://pith.science/pith/5R46TBKAGYFG6OXZ5RZTHQEVBU/action/citation_signature","submit_replication":"https://pith.science/pith/5R46TBKAGYFG6OXZ5RZTHQEVBU/action/replication_record"}},"created_at":"2026-05-18T00:08:31.507457+00:00","updated_at":"2026-05-18T00:08:31.507457+00:00"}