{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:C4X5KMWD4HX4YX2UMJYUWZGFM4","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":"d5fabcbd8f7de7ef5c38a67d67f7e62b110ab1b452ba7bf17275c2140f40d883","cross_cats_sorted":["math.ST","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2011-08-03T19:56:08Z","title_canon_sha256":"d670d164ace523996077233b862921fd62d15fb94137b864c5d0fb7007e41855"},"schema_version":"1.0","source":{"id":"1108.0920","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1108.0920","created_at":"2026-05-18T03:41:02Z"},{"alias_kind":"arxiv_version","alias_value":"1108.0920v4","created_at":"2026-05-18T03:41:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1108.0920","created_at":"2026-05-18T03:41:02Z"},{"alias_kind":"pith_short_12","alias_value":"C4X5KMWD4HX4","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_16","alias_value":"C4X5KMWD4HX4YX2U","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_8","alias_value":"C4X5KMWD","created_at":"2026-05-18T12:26:24Z"}],"graph_snapshots":[{"event_id":"sha256:f205bd9df43cb2eb88930b31d417b8103671c615ff1c162fb01e595218183aac","target":"graph","created_at":"2026-05-18T03:41:02Z","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 univariate Piecing-Together approach (PT) fits a univariate generalized Pareto distribution (GPD) to the upper tail of a given distribution function in a continuous manner. A multivariate extension was established by Aulbach et al. (2012a): The upper tail of a given copula C is cut off and replaced by a multivariate GPD-copula in a continuous manner, yielding a new copula called a PT-copula. Then each margin of this PT-copula is transformed by a given univariate distribution function. This provides a multivariate distribution function with prescribed margins, whose copula is a GPD-copula t","authors_text":"Martin Hofmann, Michael Falk, Stefan Aulbach","cross_cats":["math.ST","stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2011-08-03T19:56:08Z","title":"The multivariate Piecing-Together approach revisited"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1108.0920","kind":"arxiv","version":4},"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":"sha256:4f13d1d9f88d39afb46d31b5661563e0b8e1d25292cdc472f1b449db26fadd68","target":"record","created_at":"2026-05-18T03:41:02Z","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":"d5fabcbd8f7de7ef5c38a67d67f7e62b110ab1b452ba7bf17275c2140f40d883","cross_cats_sorted":["math.ST","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2011-08-03T19:56:08Z","title_canon_sha256":"d670d164ace523996077233b862921fd62d15fb94137b864c5d0fb7007e41855"},"schema_version":"1.0","source":{"id":"1108.0920","kind":"arxiv","version":4}},"canonical_sha256":"172fd532c3e1efcc5f5462714b64c56735825131f4592a1c76202acde7c66d65","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"172fd532c3e1efcc5f5462714b64c56735825131f4592a1c76202acde7c66d65","first_computed_at":"2026-05-18T03:41:02.557892Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:41:02.557892Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"t4LTjm0oWdtYdzSov8413NNl/W6Sxtndj9UuW+CcwgebTChJ4vmVnAnNQ0wkyudXEJ493KQlnjegMttkEJ5hDA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:41:02.558498Z","signed_message":"canonical_sha256_bytes"},"source_id":"1108.0920","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4f13d1d9f88d39afb46d31b5661563e0b8e1d25292cdc472f1b449db26fadd68","sha256:f205bd9df43cb2eb88930b31d417b8103671c615ff1c162fb01e595218183aac"],"state_sha256":"b5cf82ef98a95e5aa3a3f9a83a7d1eac30dc4d24e127b440913db50f55400719"}