{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:GSS657LUX6ELYXCMJDMSD6H2MW","short_pith_number":"pith:GSS657LU","canonical_record":{"source":{"id":"1104.1688","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2011-04-09T10:47:42Z","cross_cats_sorted":["math.ST","stat.TH"],"title_canon_sha256":"599e6adc47606ab4a89c90ec5ec231902f8a6463a50a78614ac795ae825fb180","abstract_canon_sha256":"45aa30eaf5f84bee2941d329008e9d2e13f38eb3162abbe2c74e53540479c48b"},"schema_version":"1.0"},"canonical_sha256":"34a5eefd74bf88bc5c4c48d921f8fa65aa516478fb429e723925e1c4e2300d1c","source":{"kind":"arxiv","id":"1104.1688","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1104.1688","created_at":"2026-05-18T04:24:35Z"},{"alias_kind":"arxiv_version","alias_value":"1104.1688v2","created_at":"2026-05-18T04:24:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1104.1688","created_at":"2026-05-18T04:24:35Z"},{"alias_kind":"pith_short_12","alias_value":"GSS657LUX6EL","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_16","alias_value":"GSS657LUX6ELYXCM","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_8","alias_value":"GSS657LU","created_at":"2026-05-18T12:26:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:GSS657LUX6ELYXCMJDMSD6H2MW","target":"record","payload":{"canonical_record":{"source":{"id":"1104.1688","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2011-04-09T10:47:42Z","cross_cats_sorted":["math.ST","stat.TH"],"title_canon_sha256":"599e6adc47606ab4a89c90ec5ec231902f8a6463a50a78614ac795ae825fb180","abstract_canon_sha256":"45aa30eaf5f84bee2941d329008e9d2e13f38eb3162abbe2c74e53540479c48b"},"schema_version":"1.0"},"canonical_sha256":"34a5eefd74bf88bc5c4c48d921f8fa65aa516478fb429e723925e1c4e2300d1c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:24:35.977050Z","signature_b64":"I+7KOyQcLceIYmMqAl/EIXj1BVVjw8CUteaIOSE43TUbxp81ZPc1lsfbEHduZE3p352XaBJrNP+UtxIRmYcACg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"34a5eefd74bf88bc5c4c48d921f8fa65aa516478fb429e723925e1c4e2300d1c","last_reissued_at":"2026-05-18T04:24:35.976449Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:24:35.976449Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1104.1688","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":"2026-05-18T04:24:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EHTG6UsvmiU8qCOOHM5tBS2DWr216XN8BFZqLXDcG5jQzmrNISdQhTrUIZDIcSr9N9FpfBwnkck2FOubueaGCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T09:32:47.051652Z"},"content_sha256":"d16ac30ee1ae7bc5f5ac18637e916f65cab574b49fea182a68cd659a9a6ec326","schema_version":"1.0","event_id":"sha256:d16ac30ee1ae7bc5f5ac18637e916f65cab574b49fea182a68cd659a9a6ec326"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:GSS657LUX6ELYXCMJDMSD6H2MW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Products in Conditional Extreme Value Model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.ST","stat.TH"],"primary_cat":"math.PR","authors_text":"Krishanu Maulik, Rajat Subhra Hazra","submitted_at":"2011-04-09T10:47:42Z","abstract_excerpt":"The classical multivariate extreme value theory tries to capture the extremal dependence between the components under a multivariate domain of attraction condition and it requires each of the components to be in the domain of attraction of a univariate extreme value distribution as well. The multivariate extreme value (MEV) model has a rich theory but has some limitations as it fails to capture the dependence structure in presence of asymptotic independence. A different approach to MEV was given by Heffernan and Tawn (2004), where they examined MEV distributions by conditioning on one of the c"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1104.1688","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":"2026-05-18T04:24:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VM/RWWrPyDCaH8cYPgFLAcy1oJ1rEQeB65CYt1dbkfu0t8Ac4H5z4H+u6WEyNnps3P1ah8x5e2ymQBRuzYddCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T09:32:47.052002Z"},"content_sha256":"387b43d1b0f852f3aa5f2c2c7d314bfaeb5024d37c4d5554c9f656187e7de8bf","schema_version":"1.0","event_id":"sha256:387b43d1b0f852f3aa5f2c2c7d314bfaeb5024d37c4d5554c9f656187e7de8bf"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GSS657LUX6ELYXCMJDMSD6H2MW/bundle.json","state_url":"https://pith.science/pith/GSS657LUX6ELYXCMJDMSD6H2MW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GSS657LUX6ELYXCMJDMSD6H2MW/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":"2026-06-26T09:32:47Z","links":{"resolver":"https://pith.science/pith/GSS657LUX6ELYXCMJDMSD6H2MW","bundle":"https://pith.science/pith/GSS657LUX6ELYXCMJDMSD6H2MW/bundle.json","state":"https://pith.science/pith/GSS657LUX6ELYXCMJDMSD6H2MW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GSS657LUX6ELYXCMJDMSD6H2MW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:GSS657LUX6ELYXCMJDMSD6H2MW","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":"45aa30eaf5f84bee2941d329008e9d2e13f38eb3162abbe2c74e53540479c48b","cross_cats_sorted":["math.ST","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2011-04-09T10:47:42Z","title_canon_sha256":"599e6adc47606ab4a89c90ec5ec231902f8a6463a50a78614ac795ae825fb180"},"schema_version":"1.0","source":{"id":"1104.1688","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1104.1688","created_at":"2026-05-18T04:24:35Z"},{"alias_kind":"arxiv_version","alias_value":"1104.1688v2","created_at":"2026-05-18T04:24:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1104.1688","created_at":"2026-05-18T04:24:35Z"},{"alias_kind":"pith_short_12","alias_value":"GSS657LUX6EL","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_16","alias_value":"GSS657LUX6ELYXCM","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_8","alias_value":"GSS657LU","created_at":"2026-05-18T12:26:30Z"}],"graph_snapshots":[{"event_id":"sha256:387b43d1b0f852f3aa5f2c2c7d314bfaeb5024d37c4d5554c9f656187e7de8bf","target":"graph","created_at":"2026-05-18T04:24:35Z","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":"The classical multivariate extreme value theory tries to capture the extremal dependence between the components under a multivariate domain of attraction condition and it requires each of the components to be in the domain of attraction of a univariate extreme value distribution as well. The multivariate extreme value (MEV) model has a rich theory but has some limitations as it fails to capture the dependence structure in presence of asymptotic independence. A different approach to MEV was given by Heffernan and Tawn (2004), where they examined MEV distributions by conditioning on one of the c","authors_text":"Krishanu Maulik, Rajat Subhra Hazra","cross_cats":["math.ST","stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2011-04-09T10:47:42Z","title":"Products in Conditional Extreme Value Model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1104.1688","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:d16ac30ee1ae7bc5f5ac18637e916f65cab574b49fea182a68cd659a9a6ec326","target":"record","created_at":"2026-05-18T04:24:35Z","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":"45aa30eaf5f84bee2941d329008e9d2e13f38eb3162abbe2c74e53540479c48b","cross_cats_sorted":["math.ST","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2011-04-09T10:47:42Z","title_canon_sha256":"599e6adc47606ab4a89c90ec5ec231902f8a6463a50a78614ac795ae825fb180"},"schema_version":"1.0","source":{"id":"1104.1688","kind":"arxiv","version":2}},"canonical_sha256":"34a5eefd74bf88bc5c4c48d921f8fa65aa516478fb429e723925e1c4e2300d1c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"34a5eefd74bf88bc5c4c48d921f8fa65aa516478fb429e723925e1c4e2300d1c","first_computed_at":"2026-05-18T04:24:35.976449Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:24:35.976449Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"I+7KOyQcLceIYmMqAl/EIXj1BVVjw8CUteaIOSE43TUbxp81ZPc1lsfbEHduZE3p352XaBJrNP+UtxIRmYcACg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:24:35.977050Z","signed_message":"canonical_sha256_bytes"},"source_id":"1104.1688","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d16ac30ee1ae7bc5f5ac18637e916f65cab574b49fea182a68cd659a9a6ec326","sha256:387b43d1b0f852f3aa5f2c2c7d314bfaeb5024d37c4d5554c9f656187e7de8bf"],"state_sha256":"96f974340a861ea9685a6a8f3f5c15495d966d8cbe5557bfbca5bacd44704236"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bzfYiegBl0Iu0fOTJepB26ZzsWqOF6TuiEoFv2TY0zVY2dSGbdzkNbXlAkGqxKCyXFj9xrGiIe+s3JO0pWhXCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-26T09:32:47.054008Z","bundle_sha256":"726d525d0a5f0a5570cb8fe57b25a96fc9f2e1689714b08c3ee07f095fe2662d"}}