{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:PGNRXMBID5UKO4FIZO4HWACWZV","short_pith_number":"pith:PGNRXMBI","canonical_record":{"source":{"id":"1811.09511","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2018-11-23T15:13:27Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"54cdf489248a57ec54ccef0c0502092c95c17f8e6e8b6af05e96f7eb4bc42d13","abstract_canon_sha256":"90bf782c3dd2b81ac965b7fe4f4a1f1c632aef063e1972ead9f1440355ae7c81"},"schema_version":"1.0"},"canonical_sha256":"799b1bb0281f68a770a8cbb87b0056cd780573edd1b95c413f3b9a8a61d00361","source":{"kind":"arxiv","id":"1811.09511","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1811.09511","created_at":"2026-05-18T00:00:03Z"},{"alias_kind":"arxiv_version","alias_value":"1811.09511v1","created_at":"2026-05-18T00:00:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1811.09511","created_at":"2026-05-18T00:00:03Z"},{"alias_kind":"pith_short_12","alias_value":"PGNRXMBID5UK","created_at":"2026-05-18T12:32:43Z"},{"alias_kind":"pith_short_16","alias_value":"PGNRXMBID5UKO4FI","created_at":"2026-05-18T12:32:43Z"},{"alias_kind":"pith_short_8","alias_value":"PGNRXMBI","created_at":"2026-05-18T12:32:43Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:PGNRXMBID5UKO4FIZO4HWACWZV","target":"record","payload":{"canonical_record":{"source":{"id":"1811.09511","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2018-11-23T15:13:27Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"54cdf489248a57ec54ccef0c0502092c95c17f8e6e8b6af05e96f7eb4bc42d13","abstract_canon_sha256":"90bf782c3dd2b81ac965b7fe4f4a1f1c632aef063e1972ead9f1440355ae7c81"},"schema_version":"1.0"},"canonical_sha256":"799b1bb0281f68a770a8cbb87b0056cd780573edd1b95c413f3b9a8a61d00361","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:00:03.192226Z","signature_b64":"/4VdJr2D0jRYfURh+OFvDsGGlBZpzOzEQ9nR/zYA/tuMiisMXnih+gAgREflxVkQoK+kN8t0tXi6HUF262f8Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"799b1bb0281f68a770a8cbb87b0056cd780573edd1b95c413f3b9a8a61d00361","last_reissued_at":"2026-05-18T00:00:03.191730Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:00:03.191730Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1811.09511","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":"2026-05-18T00:00:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"E7LiieTHAxqix8I7iC9BF59AgrX9EVfArxaxvO9JcA5WuP1l78drG4wY1RsgVzxlQruT/2ZpHYtNg5WOgaQeDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T10:22:59.137808Z"},"content_sha256":"c9a575168d3d35d2ab3656e8521a2228b2f6b6ee1e283ba97108944a4513d92f","schema_version":"1.0","event_id":"sha256:c9a575168d3d35d2ab3656e8521a2228b2f6b6ee1e283ba97108944a4513d92f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:PGNRXMBID5UKO4FIZO4HWACWZV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Generalized Pareto Copulas: A Key to Multivariate Extremes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"Florian Wisheckel, Michael Falk, Simone Padoan","submitted_at":"2018-11-23T15:13:27Z","abstract_excerpt":"This paper reviews generalized Pareto copulas (GPC), which turn out to be a key to multivariate extreme value theory. Any GPC can be represented in an easy analytic way using a particular type of norm on $\\mathbb{R}^d$, called $D$-norm. The characteristic property of a GPC is its exceedance stability.\n  GPC might help to end the debate: What is a multivariate generalized Pareto distribution? We present an easy way how to simulate data from an arbitrary GPC and, thus, from an arbitrary generalized Pareto distribution.\n  As an application we derive nonparametric estimates of the probability that"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.09511","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":"2026-05-18T00:00:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GPXm4n4JMeYoM7gfQLsVCz703RyWVulMPekkTruRWzacQjCay0wz2Xb0AqDq9DtMFsYm4djn9q9sl0oOzg4oBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T10:22:59.138157Z"},"content_sha256":"e178be42659694985af9ec84d9751c35b5245db90e0d49be6dd73980442e337b","schema_version":"1.0","event_id":"sha256:e178be42659694985af9ec84d9751c35b5245db90e0d49be6dd73980442e337b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PGNRXMBID5UKO4FIZO4HWACWZV/bundle.json","state_url":"https://pith.science/pith/PGNRXMBID5UKO4FIZO4HWACWZV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PGNRXMBID5UKO4FIZO4HWACWZV/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":"2026-06-20T10:22:59Z","links":{"resolver":"https://pith.science/pith/PGNRXMBID5UKO4FIZO4HWACWZV","bundle":"https://pith.science/pith/PGNRXMBID5UKO4FIZO4HWACWZV/bundle.json","state":"https://pith.science/pith/PGNRXMBID5UKO4FIZO4HWACWZV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PGNRXMBID5UKO4FIZO4HWACWZV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:PGNRXMBID5UKO4FIZO4HWACWZV","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":"90bf782c3dd2b81ac965b7fe4f4a1f1c632aef063e1972ead9f1440355ae7c81","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2018-11-23T15:13:27Z","title_canon_sha256":"54cdf489248a57ec54ccef0c0502092c95c17f8e6e8b6af05e96f7eb4bc42d13"},"schema_version":"1.0","source":{"id":"1811.09511","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1811.09511","created_at":"2026-05-18T00:00:03Z"},{"alias_kind":"arxiv_version","alias_value":"1811.09511v1","created_at":"2026-05-18T00:00:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1811.09511","created_at":"2026-05-18T00:00:03Z"},{"alias_kind":"pith_short_12","alias_value":"PGNRXMBID5UK","created_at":"2026-05-18T12:32:43Z"},{"alias_kind":"pith_short_16","alias_value":"PGNRXMBID5UKO4FI","created_at":"2026-05-18T12:32:43Z"},{"alias_kind":"pith_short_8","alias_value":"PGNRXMBI","created_at":"2026-05-18T12:32:43Z"}],"graph_snapshots":[{"event_id":"sha256:e178be42659694985af9ec84d9751c35b5245db90e0d49be6dd73980442e337b","target":"graph","created_at":"2026-05-18T00:00:03Z","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":"This paper reviews generalized Pareto copulas (GPC), which turn out to be a key to multivariate extreme value theory. Any GPC can be represented in an easy analytic way using a particular type of norm on $\\mathbb{R}^d$, called $D$-norm. The characteristic property of a GPC is its exceedance stability.\n  GPC might help to end the debate: What is a multivariate generalized Pareto distribution? We present an easy way how to simulate data from an arbitrary GPC and, thus, from an arbitrary generalized Pareto distribution.\n  As an application we derive nonparametric estimates of the probability that","authors_text":"Florian Wisheckel, Michael Falk, Simone Padoan","cross_cats":["stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2018-11-23T15:13:27Z","title":"Generalized Pareto Copulas: A Key to Multivariate Extremes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.09511","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:c9a575168d3d35d2ab3656e8521a2228b2f6b6ee1e283ba97108944a4513d92f","target":"record","created_at":"2026-05-18T00:00:03Z","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":"90bf782c3dd2b81ac965b7fe4f4a1f1c632aef063e1972ead9f1440355ae7c81","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2018-11-23T15:13:27Z","title_canon_sha256":"54cdf489248a57ec54ccef0c0502092c95c17f8e6e8b6af05e96f7eb4bc42d13"},"schema_version":"1.0","source":{"id":"1811.09511","kind":"arxiv","version":1}},"canonical_sha256":"799b1bb0281f68a770a8cbb87b0056cd780573edd1b95c413f3b9a8a61d00361","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"799b1bb0281f68a770a8cbb87b0056cd780573edd1b95c413f3b9a8a61d00361","first_computed_at":"2026-05-18T00:00:03.191730Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:00:03.191730Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/4VdJr2D0jRYfURh+OFvDsGGlBZpzOzEQ9nR/zYA/tuMiisMXnih+gAgREflxVkQoK+kN8t0tXi6HUF262f8Cg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:00:03.192226Z","signed_message":"canonical_sha256_bytes"},"source_id":"1811.09511","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c9a575168d3d35d2ab3656e8521a2228b2f6b6ee1e283ba97108944a4513d92f","sha256:e178be42659694985af9ec84d9751c35b5245db90e0d49be6dd73980442e337b"],"state_sha256":"5628e93e918858acedcdc533b7365df1d36cb2d9601f074e11b36c78d208aeda"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"P7US9Ytpzfay+WLwlL7ymJsbHiVc855abbeG6rKteZoVkQBJh6thACnLVgI6UXlflhoL0Seaka9VxTdURAIwAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-20T10:22:59.140073Z","bundle_sha256":"507eefcbb26b4c9594f0ee9cf0b0e99a6f32fdb6f03e2dcef3ed6a5766b2de8b"}}