{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2008:EHPRLZPYYEPK2QYVXWVTLZNK7O","short_pith_number":"pith:EHPRLZPY","canonical_record":{"source":{"id":"0805.4373","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2008-05-28T16:28:54Z","cross_cats_sorted":["math.ST","stat.TH"],"title_canon_sha256":"15a181c9775da276febe675b0ddf84c33ea48115649c61b51dceae7d2b15ccc7","abstract_canon_sha256":"6886387b7c9bb2d2eda0b68dc8f731d888e34c8fbc0063295dd5fa21cf88f25a"},"schema_version":"1.0"},"canonical_sha256":"21df15e5f8c11ead4315bdab35e5aafbb674798fd2bd02e029c1a9edd2343ecf","source":{"kind":"arxiv","id":"0805.4373","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0805.4373","created_at":"2026-05-18T04:29:43Z"},{"alias_kind":"arxiv_version","alias_value":"0805.4373v3","created_at":"2026-05-18T04:29:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0805.4373","created_at":"2026-05-18T04:29:43Z"},{"alias_kind":"pith_short_12","alias_value":"EHPRLZPYYEPK","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_16","alias_value":"EHPRLZPYYEPK2QYV","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_8","alias_value":"EHPRLZPY","created_at":"2026-05-18T12:25:57Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2008:EHPRLZPYYEPK2QYVXWVTLZNK7O","target":"record","payload":{"canonical_record":{"source":{"id":"0805.4373","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2008-05-28T16:28:54Z","cross_cats_sorted":["math.ST","stat.TH"],"title_canon_sha256":"15a181c9775da276febe675b0ddf84c33ea48115649c61b51dceae7d2b15ccc7","abstract_canon_sha256":"6886387b7c9bb2d2eda0b68dc8f731d888e34c8fbc0063295dd5fa21cf88f25a"},"schema_version":"1.0"},"canonical_sha256":"21df15e5f8c11ead4315bdab35e5aafbb674798fd2bd02e029c1a9edd2343ecf","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:29:43.836597Z","signature_b64":"CiQ2cl8fMj99p6fnt7snOmxhWg31pxJxneSyEkUAwDE+WtdPCsz4DdlhoOF2DeL7RsVLSApeomnF4Pr+TBKiDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"21df15e5f8c11ead4315bdab35e5aafbb674798fd2bd02e029c1a9edd2343ecf","last_reissued_at":"2026-05-18T04:29:43.835963Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:29:43.835963Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0805.4373","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:29:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"25QhPku6JW+Clqre0WtLR+8P2tOnl/k6DPVqxW77nM6v/BZnGyhxKeLWGTEIb4jO3FdsJ39EnWonhXKW5vPaDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T10:20:52.968431Z"},"content_sha256":"d4ddddd90b44d7875e7ebf33e73c9e73e6fa3e52e12a21edba5a24fd01110cd6","schema_version":"1.0","event_id":"sha256:d4ddddd90b44d7875e7ebf33e73c9e73e6fa3e52e12a21edba5a24fd01110cd6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2008:EHPRLZPYYEPK2QYVXWVTLZNK7O","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Conditioning on an extreme component: Model consistency with regular variation on cones","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.ST","stat.TH"],"primary_cat":"math.PR","authors_text":"Bikramjit Das, Sidney I. Resnick","submitted_at":"2008-05-28T16:28:54Z","abstract_excerpt":"Multivariate extreme value theory assumes a multivariate domain of attraction condition for the distribution of a random vector. This necessitates that each component satisfies a marginal domain of attraction condition. An approximation of the joint distribution of a random vector obtained by conditioning on one of the components being extreme was developed by Heffernan and Tawn [12] and further studied by Heffernan and Resnick [11]. These papers left unresolved the consistency of different models obtained by conditioning on different components being extreme and we here provide clarification "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0805.4373","kind":"arxiv","version":3},"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":"2026-05-18T04:29:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xrO/SPBiDSsx2lScPS3yuAQtFme+jhJuW7ldsUTKtQUdG1ptVVkd0rP4dNZjaCEZCL2ofILNmgLyh3T9HXKUBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T10:20:52.968786Z"},"content_sha256":"25950d50e8e982ee3a5dbba261cf0cdf54a7d5714474bfc53e3e4bf56e4057d2","schema_version":"1.0","event_id":"sha256:25950d50e8e982ee3a5dbba261cf0cdf54a7d5714474bfc53e3e4bf56e4057d2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EHPRLZPYYEPK2QYVXWVTLZNK7O/bundle.json","state_url":"https://pith.science/pith/EHPRLZPYYEPK2QYVXWVTLZNK7O/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EHPRLZPYYEPK2QYVXWVTLZNK7O/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":"2026-06-26T10:20:52Z","links":{"resolver":"https://pith.science/pith/EHPRLZPYYEPK2QYVXWVTLZNK7O","bundle":"https://pith.science/pith/EHPRLZPYYEPK2QYVXWVTLZNK7O/bundle.json","state":"https://pith.science/pith/EHPRLZPYYEPK2QYVXWVTLZNK7O/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EHPRLZPYYEPK2QYVXWVTLZNK7O/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:EHPRLZPYYEPK2QYVXWVTLZNK7O","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":"6886387b7c9bb2d2eda0b68dc8f731d888e34c8fbc0063295dd5fa21cf88f25a","cross_cats_sorted":["math.ST","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2008-05-28T16:28:54Z","title_canon_sha256":"15a181c9775da276febe675b0ddf84c33ea48115649c61b51dceae7d2b15ccc7"},"schema_version":"1.0","source":{"id":"0805.4373","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0805.4373","created_at":"2026-05-18T04:29:43Z"},{"alias_kind":"arxiv_version","alias_value":"0805.4373v3","created_at":"2026-05-18T04:29:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0805.4373","created_at":"2026-05-18T04:29:43Z"},{"alias_kind":"pith_short_12","alias_value":"EHPRLZPYYEPK","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_16","alias_value":"EHPRLZPYYEPK2QYV","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_8","alias_value":"EHPRLZPY","created_at":"2026-05-18T12:25:57Z"}],"graph_snapshots":[{"event_id":"sha256:25950d50e8e982ee3a5dbba261cf0cdf54a7d5714474bfc53e3e4bf56e4057d2","target":"graph","created_at":"2026-05-18T04:29:43Z","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":"Multivariate extreme value theory assumes a multivariate domain of attraction condition for the distribution of a random vector. This necessitates that each component satisfies a marginal domain of attraction condition. An approximation of the joint distribution of a random vector obtained by conditioning on one of the components being extreme was developed by Heffernan and Tawn [12] and further studied by Heffernan and Resnick [11]. These papers left unresolved the consistency of different models obtained by conditioning on different components being extreme and we here provide clarification ","authors_text":"Bikramjit Das, Sidney I. Resnick","cross_cats":["math.ST","stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2008-05-28T16:28:54Z","title":"Conditioning on an extreme component: Model consistency with regular variation on cones"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0805.4373","kind":"arxiv","version":3},"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:d4ddddd90b44d7875e7ebf33e73c9e73e6fa3e52e12a21edba5a24fd01110cd6","target":"record","created_at":"2026-05-18T04:29:43Z","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":"6886387b7c9bb2d2eda0b68dc8f731d888e34c8fbc0063295dd5fa21cf88f25a","cross_cats_sorted":["math.ST","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2008-05-28T16:28:54Z","title_canon_sha256":"15a181c9775da276febe675b0ddf84c33ea48115649c61b51dceae7d2b15ccc7"},"schema_version":"1.0","source":{"id":"0805.4373","kind":"arxiv","version":3}},"canonical_sha256":"21df15e5f8c11ead4315bdab35e5aafbb674798fd2bd02e029c1a9edd2343ecf","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"21df15e5f8c11ead4315bdab35e5aafbb674798fd2bd02e029c1a9edd2343ecf","first_computed_at":"2026-05-18T04:29:43.835963Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:29:43.835963Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"CiQ2cl8fMj99p6fnt7snOmxhWg31pxJxneSyEkUAwDE+WtdPCsz4DdlhoOF2DeL7RsVLSApeomnF4Pr+TBKiDg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:29:43.836597Z","signed_message":"canonical_sha256_bytes"},"source_id":"0805.4373","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d4ddddd90b44d7875e7ebf33e73c9e73e6fa3e52e12a21edba5a24fd01110cd6","sha256:25950d50e8e982ee3a5dbba261cf0cdf54a7d5714474bfc53e3e4bf56e4057d2"],"state_sha256":"68a9fd035f2a928a4a01ea43ee01f389812838afdf80ce76ab3d818b679f2a09"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dM/CRrHdlEnryzoh05KNk6dWJDgOGRVY9AuHBpH5QsqvMlhd+rbf04RhGdZfdERp6pHh9ZU89MpbQbHhw2fZCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-26T10:20:52.970892Z","bundle_sha256":"98d38389c58991182c813970fc267f4e6786bcebc924be7ad4cf45d540e3207e"}}