{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:2ZVXBS2OTG4Z6CVQ73AA3Y5YEP","short_pith_number":"pith:2ZVXBS2O","schema_version":"1.0","canonical_sha256":"d66b70cb4e99b99f0ab0fec00de3b823dabe844379cf3b2d8b141cc5d3c8569e","source":{"kind":"arxiv","id":"1710.00229","version":1},"attestation_state":"computed","paper":{"title":"Clustering and Hitting Times of Threshold Exceedances and Applications","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"Natalia Markovich","submitted_at":"2017-09-30T17:21:54Z","abstract_excerpt":"We investigate exceedances of the process over a sufficiently high threshold. The exceedances determine the risk of hazardous events like climate catastrophes, huge insurance claims, the loss and delay in telecommunication networks.\n  Due to dependence such exceedances tend to occur in clusters. The cluster structure of social networks is caused by dependence (social relationships and interests) between nodes and possibly heavy-tailed distributions of the node degrees. A minimal time to reach a large node determines the first hitting time. We derive an asymptotically equivalent distribution an"},"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":"1710.00229","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2017-09-30T17:21:54Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"4df0407e05b29e121aa8af37bf7230e63f1188a159106dbf010cc8f8d69cbfaf","abstract_canon_sha256":"0b04cffb1d4642269b2289442537f46f4473e45ce847df5aafbe8f3e808703a1"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:33:55.480656Z","signature_b64":"cMewu7uvW8vaIzD2HYcuRuvaojlLAwOFB2SDwumkm0fQ8JOkT9q78FhNpsy3CCSjhlMwLZSXgty4Hx6M3QXKBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d66b70cb4e99b99f0ab0fec00de3b823dabe844379cf3b2d8b141cc5d3c8569e","last_reissued_at":"2026-05-18T00:33:55.480073Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:33:55.480073Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Clustering and Hitting Times of Threshold Exceedances and Applications","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"Natalia Markovich","submitted_at":"2017-09-30T17:21:54Z","abstract_excerpt":"We investigate exceedances of the process over a sufficiently high threshold. The exceedances determine the risk of hazardous events like climate catastrophes, huge insurance claims, the loss and delay in telecommunication networks.\n  Due to dependence such exceedances tend to occur in clusters. The cluster structure of social networks is caused by dependence (social relationships and interests) between nodes and possibly heavy-tailed distributions of the node degrees. A minimal time to reach a large node determines the first hitting time. We derive an asymptotically equivalent distribution an"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.00229","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":"1710.00229","created_at":"2026-05-18T00:33:55.480164+00:00"},{"alias_kind":"arxiv_version","alias_value":"1710.00229v1","created_at":"2026-05-18T00:33:55.480164+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.00229","created_at":"2026-05-18T00:33:55.480164+00:00"},{"alias_kind":"pith_short_12","alias_value":"2ZVXBS2OTG4Z","created_at":"2026-05-18T12:30:55.937587+00:00"},{"alias_kind":"pith_short_16","alias_value":"2ZVXBS2OTG4Z6CVQ","created_at":"2026-05-18T12:30:55.937587+00:00"},{"alias_kind":"pith_short_8","alias_value":"2ZVXBS2O","created_at":"2026-05-18T12:30:55.937587+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/2ZVXBS2OTG4Z6CVQ73AA3Y5YEP","json":"https://pith.science/pith/2ZVXBS2OTG4Z6CVQ73AA3Y5YEP.json","graph_json":"https://pith.science/api/pith-number/2ZVXBS2OTG4Z6CVQ73AA3Y5YEP/graph.json","events_json":"https://pith.science/api/pith-number/2ZVXBS2OTG4Z6CVQ73AA3Y5YEP/events.json","paper":"https://pith.science/paper/2ZVXBS2O"},"agent_actions":{"view_html":"https://pith.science/pith/2ZVXBS2OTG4Z6CVQ73AA3Y5YEP","download_json":"https://pith.science/pith/2ZVXBS2OTG4Z6CVQ73AA3Y5YEP.json","view_paper":"https://pith.science/paper/2ZVXBS2O","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1710.00229&json=true","fetch_graph":"https://pith.science/api/pith-number/2ZVXBS2OTG4Z6CVQ73AA3Y5YEP/graph.json","fetch_events":"https://pith.science/api/pith-number/2ZVXBS2OTG4Z6CVQ73AA3Y5YEP/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/2ZVXBS2OTG4Z6CVQ73AA3Y5YEP/action/timestamp_anchor","attest_storage":"https://pith.science/pith/2ZVXBS2OTG4Z6CVQ73AA3Y5YEP/action/storage_attestation","attest_author":"https://pith.science/pith/2ZVXBS2OTG4Z6CVQ73AA3Y5YEP/action/author_attestation","sign_citation":"https://pith.science/pith/2ZVXBS2OTG4Z6CVQ73AA3Y5YEP/action/citation_signature","submit_replication":"https://pith.science/pith/2ZVXBS2OTG4Z6CVQ73AA3Y5YEP/action/replication_record"}},"created_at":"2026-05-18T00:33:55.480164+00:00","updated_at":"2026-05-18T00:33:55.480164+00:00"}