{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:KFAP4FXWEJD6HTKO2TJ2OMMY7F","short_pith_number":"pith:KFAP4FXW","schema_version":"1.0","canonical_sha256":"5140fe16f62247e3cd4ed4d3a73198f96103c484c582003ab0cfe1b3ed568f37","source":{"kind":"arxiv","id":"1504.02887","version":1},"attestation_state":"computed","paper":{"title":"Block-Maxima of Vines","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"stat.ME","authors_text":"Claudia Czado, Matthias Killiches","submitted_at":"2015-04-11T15:15:43Z","abstract_excerpt":"We examine the dependence structure of finite block-maxima of multivariate distributions. We provide a closed form expression for the copula density of the vector of the block-maxima. Further, we show how partial derivatives of three-dimensional vine copulas can be obtained by only one-dimensional integration. Combining these results allows the numerical treatment of the block-maxima of any three-dimensional vine copula for finite block-sizes. We look at certain vine copula specifications and examine how the density of the block-maxima behaves for different block-sizes. Additionally, a real da"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1504.02887","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2015-04-11T15:15:43Z","cross_cats_sorted":[],"title_canon_sha256":"e9884a70ee83c370fb658750cced6351b4a8a93f4c50cd9e3edf8c3d1a43592d","abstract_canon_sha256":"ecdd7b80ffa04e0ab9bc3cd4dcb544cefac34d5d726092880f508fecf0e43c94"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:18:59.729846Z","signature_b64":"1oaAlv5S2RX/b43z0feDUA9cjSJvAZQNMq5reOqo9jqQFoP48nyx9QMTMBLiDAmy0VPH9/svafIcPTC4ZQsaDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5140fe16f62247e3cd4ed4d3a73198f96103c484c582003ab0cfe1b3ed568f37","last_reissued_at":"2026-05-18T02:18:59.729276Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:18:59.729276Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Block-Maxima of Vines","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"stat.ME","authors_text":"Claudia Czado, Matthias Killiches","submitted_at":"2015-04-11T15:15:43Z","abstract_excerpt":"We examine the dependence structure of finite block-maxima of multivariate distributions. We provide a closed form expression for the copula density of the vector of the block-maxima. Further, we show how partial derivatives of three-dimensional vine copulas can be obtained by only one-dimensional integration. Combining these results allows the numerical treatment of the block-maxima of any three-dimensional vine copula for finite block-sizes. We look at certain vine copula specifications and examine how the density of the block-maxima behaves for different block-sizes. Additionally, a real da"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.02887","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1504.02887","created_at":"2026-05-18T02:18:59.729380+00:00"},{"alias_kind":"arxiv_version","alias_value":"1504.02887v1","created_at":"2026-05-18T02:18:59.729380+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.02887","created_at":"2026-05-18T02:18:59.729380+00:00"},{"alias_kind":"pith_short_12","alias_value":"KFAP4FXWEJD6","created_at":"2026-05-18T12:29:27.538025+00:00"},{"alias_kind":"pith_short_16","alias_value":"KFAP4FXWEJD6HTKO","created_at":"2026-05-18T12:29:27.538025+00:00"},{"alias_kind":"pith_short_8","alias_value":"KFAP4FXW","created_at":"2026-05-18T12:29:27.538025+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/KFAP4FXWEJD6HTKO2TJ2OMMY7F","json":"https://pith.science/pith/KFAP4FXWEJD6HTKO2TJ2OMMY7F.json","graph_json":"https://pith.science/api/pith-number/KFAP4FXWEJD6HTKO2TJ2OMMY7F/graph.json","events_json":"https://pith.science/api/pith-number/KFAP4FXWEJD6HTKO2TJ2OMMY7F/events.json","paper":"https://pith.science/paper/KFAP4FXW"},"agent_actions":{"view_html":"https://pith.science/pith/KFAP4FXWEJD6HTKO2TJ2OMMY7F","download_json":"https://pith.science/pith/KFAP4FXWEJD6HTKO2TJ2OMMY7F.json","view_paper":"https://pith.science/paper/KFAP4FXW","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1504.02887&json=true","fetch_graph":"https://pith.science/api/pith-number/KFAP4FXWEJD6HTKO2TJ2OMMY7F/graph.json","fetch_events":"https://pith.science/api/pith-number/KFAP4FXWEJD6HTKO2TJ2OMMY7F/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/KFAP4FXWEJD6HTKO2TJ2OMMY7F/action/timestamp_anchor","attest_storage":"https://pith.science/pith/KFAP4FXWEJD6HTKO2TJ2OMMY7F/action/storage_attestation","attest_author":"https://pith.science/pith/KFAP4FXWEJD6HTKO2TJ2OMMY7F/action/author_attestation","sign_citation":"https://pith.science/pith/KFAP4FXWEJD6HTKO2TJ2OMMY7F/action/citation_signature","submit_replication":"https://pith.science/pith/KFAP4FXWEJD6HTKO2TJ2OMMY7F/action/replication_record"}},"created_at":"2026-05-18T02:18:59.729380+00:00","updated_at":"2026-05-18T02:18:59.729380+00:00"}