{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:LNTEPMHAADVHC2DBUXNRV2OTZY","short_pith_number":"pith:LNTEPMHA","canonical_record":{"source":{"id":"1501.01561","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2015-01-07T17:03:25Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"09417946e3a72fcca8b798e26be6ab78273ba6029a9394330da39a63c9890a6d","abstract_canon_sha256":"44a63c40588f219b70823b99f91b2c5a7cd9cf969e0a5bb006fe049e44f36f2e"},"schema_version":"1.0"},"canonical_sha256":"5b6647b0e000ea716861a5db1ae9d3ce25a26c98d3d17fd439a761b7962e556e","source":{"kind":"arxiv","id":"1501.01561","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1501.01561","created_at":"2026-05-18T02:29:53Z"},{"alias_kind":"arxiv_version","alias_value":"1501.01561v1","created_at":"2026-05-18T02:29:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1501.01561","created_at":"2026-05-18T02:29:53Z"},{"alias_kind":"pith_short_12","alias_value":"LNTEPMHAADVH","created_at":"2026-05-18T12:29:29Z"},{"alias_kind":"pith_short_16","alias_value":"LNTEPMHAADVHC2DB","created_at":"2026-05-18T12:29:29Z"},{"alias_kind":"pith_short_8","alias_value":"LNTEPMHA","created_at":"2026-05-18T12:29:29Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:LNTEPMHAADVHC2DBUXNRV2OTZY","target":"record","payload":{"canonical_record":{"source":{"id":"1501.01561","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2015-01-07T17:03:25Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"09417946e3a72fcca8b798e26be6ab78273ba6029a9394330da39a63c9890a6d","abstract_canon_sha256":"44a63c40588f219b70823b99f91b2c5a7cd9cf969e0a5bb006fe049e44f36f2e"},"schema_version":"1.0"},"canonical_sha256":"5b6647b0e000ea716861a5db1ae9d3ce25a26c98d3d17fd439a761b7962e556e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:29:53.795931Z","signature_b64":"Q4zLlV9VDIyT2RhNexmiWUzhysacCPRM0yMQkgikIAdaYwflStp8oTtYaTLXDuhomIQIwgoU44I3EbNB4JLdDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5b6647b0e000ea716861a5db1ae9d3ce25a26c98d3d17fd439a761b7962e556e","last_reissued_at":"2026-05-18T02:29:53.795262Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:29:53.795262Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1501.01561","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:29:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"T28MLsqRUmovU8oWTYjUkYrbw3MA4HMmqMoBTsBdw8BdgjRrB+wZ0/pAYjo/CTbUgorb1fBOKukhnmXQHhCzAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-04T02:19:51.276477Z"},"content_sha256":"6061f27073eceb6f72f80036944c133ff17749079f3bd3c159f103ee9ae7662b","schema_version":"1.0","event_id":"sha256:6061f27073eceb6f72f80036944c133ff17749079f3bd3c159f103ee9ae7662b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:LNTEPMHAADVHC2DBUXNRV2OTZY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Hitting times of threshold exceedances and their distributions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"Natalia Markovich","submitted_at":"2015-01-07T17:03:25Z","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. 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 asymptotically equivalent distribution and a lim"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.01561","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:29:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IjJ8qiWKdrtKR2Iqiq4K2DzxHyZgjDQjtUKUVvex2xpen2V9Rws2X08hXqIzPtzC/eF30ZOSjF9Do9k9rNH0DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-04T02:19:51.276823Z"},"content_sha256":"b1641f54963cb02c53b80130f5ca6d90d0ecee5a33459b00ebb8297240c2a7d1","schema_version":"1.0","event_id":"sha256:b1641f54963cb02c53b80130f5ca6d90d0ecee5a33459b00ebb8297240c2a7d1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LNTEPMHAADVHC2DBUXNRV2OTZY/bundle.json","state_url":"https://pith.science/pith/LNTEPMHAADVHC2DBUXNRV2OTZY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LNTEPMHAADVHC2DBUXNRV2OTZY/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":"2026-07-04T02:19:51Z","links":{"resolver":"https://pith.science/pith/LNTEPMHAADVHC2DBUXNRV2OTZY","bundle":"https://pith.science/pith/LNTEPMHAADVHC2DBUXNRV2OTZY/bundle.json","state":"https://pith.science/pith/LNTEPMHAADVHC2DBUXNRV2OTZY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LNTEPMHAADVHC2DBUXNRV2OTZY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:LNTEPMHAADVHC2DBUXNRV2OTZY","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":"44a63c40588f219b70823b99f91b2c5a7cd9cf969e0a5bb006fe049e44f36f2e","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2015-01-07T17:03:25Z","title_canon_sha256":"09417946e3a72fcca8b798e26be6ab78273ba6029a9394330da39a63c9890a6d"},"schema_version":"1.0","source":{"id":"1501.01561","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1501.01561","created_at":"2026-05-18T02:29:53Z"},{"alias_kind":"arxiv_version","alias_value":"1501.01561v1","created_at":"2026-05-18T02:29:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1501.01561","created_at":"2026-05-18T02:29:53Z"},{"alias_kind":"pith_short_12","alias_value":"LNTEPMHAADVH","created_at":"2026-05-18T12:29:29Z"},{"alias_kind":"pith_short_16","alias_value":"LNTEPMHAADVHC2DB","created_at":"2026-05-18T12:29:29Z"},{"alias_kind":"pith_short_8","alias_value":"LNTEPMHA","created_at":"2026-05-18T12:29:29Z"}],"graph_snapshots":[{"event_id":"sha256:b1641f54963cb02c53b80130f5ca6d90d0ecee5a33459b00ebb8297240c2a7d1","target":"graph","created_at":"2026-05-18T02:29:53Z","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":"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. 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 asymptotically equivalent distribution and a lim","authors_text":"Natalia Markovich","cross_cats":["stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2015-01-07T17:03:25Z","title":"Hitting times of threshold exceedances and their distributions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.01561","kind":"arxiv","version":1},"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":"sha256:6061f27073eceb6f72f80036944c133ff17749079f3bd3c159f103ee9ae7662b","target":"record","created_at":"2026-05-18T02:29:53Z","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":"44a63c40588f219b70823b99f91b2c5a7cd9cf969e0a5bb006fe049e44f36f2e","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2015-01-07T17:03:25Z","title_canon_sha256":"09417946e3a72fcca8b798e26be6ab78273ba6029a9394330da39a63c9890a6d"},"schema_version":"1.0","source":{"id":"1501.01561","kind":"arxiv","version":1}},"canonical_sha256":"5b6647b0e000ea716861a5db1ae9d3ce25a26c98d3d17fd439a761b7962e556e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5b6647b0e000ea716861a5db1ae9d3ce25a26c98d3d17fd439a761b7962e556e","first_computed_at":"2026-05-18T02:29:53.795262Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:29:53.795262Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Q4zLlV9VDIyT2RhNexmiWUzhysacCPRM0yMQkgikIAdaYwflStp8oTtYaTLXDuhomIQIwgoU44I3EbNB4JLdDg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:29:53.795931Z","signed_message":"canonical_sha256_bytes"},"source_id":"1501.01561","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6061f27073eceb6f72f80036944c133ff17749079f3bd3c159f103ee9ae7662b","sha256:b1641f54963cb02c53b80130f5ca6d90d0ecee5a33459b00ebb8297240c2a7d1"],"state_sha256":"74c210b56df37334ff46f86c3332bb4da0f96f4e633c67c0b076fc4199075345"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GBzj8CWlosoNxdz0dILFKhNAqQgnvzg24LoBgRNCI+V+tNyugdILLA12DqNaXR5+0F0Ybwc/cZmkUuZsmd9lAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-04T02:19:51.278714Z","bundle_sha256":"f77cedff743b27e7e234005977ae705151f0343c1f7719d55f7d188066d59b94"}}