{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:KFAP4FXWEJD6HTKO2TJ2OMMY7F","short_pith_number":"pith:KFAP4FXW","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"},"canonical_sha256":"5140fe16f62247e3cd4ed4d3a73198f96103c484c582003ab0cfe1b3ed568f37","source":{"kind":"arxiv","id":"1504.02887","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1504.02887","created_at":"2026-05-18T02:18:59Z"},{"alias_kind":"arxiv_version","alias_value":"1504.02887v1","created_at":"2026-05-18T02:18:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.02887","created_at":"2026-05-18T02:18:59Z"},{"alias_kind":"pith_short_12","alias_value":"KFAP4FXWEJD6","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_16","alias_value":"KFAP4FXWEJD6HTKO","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_8","alias_value":"KFAP4FXW","created_at":"2026-05-18T12:29:27Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:KFAP4FXWEJD6HTKO2TJ2OMMY7F","target":"record","payload":{"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"},"canonical_sha256":"5140fe16f62247e3cd4ed4d3a73198f96103c484c582003ab0cfe1b3ed568f37","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"},"source_kind":"arxiv","source_id":"1504.02887","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":"2026-05-18T02:18:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ja7nd9G5HlflEsZbfVJbYx51NMIZUsiidoWomSx1x3BY6oklbV1XPAIe0GX58P//Z/USBWYaXpwZbCah4MKsBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T09:06:15.084935Z"},"content_sha256":"b0e9554d56f944f811a387510072bc93cb3cf8526ed246bb0a004b98a5cae12e","schema_version":"1.0","event_id":"sha256:b0e9554d56f944f811a387510072bc93cb3cf8526ed246bb0a004b98a5cae12e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:KFAP4FXWEJD6HTKO2TJ2OMMY7F","target":"graph","payload":{"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:18:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vnYh0TOGUTLsLbQuAdr6IZ0zH5uvenuedesdyxgh98jCiBMf2Hrj8Zp8+oMa5xwbEhGHk2l0hKmD2bS4xQ8oCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T09:06:15.085347Z"},"content_sha256":"b7aefce07dcfd4f07cc70a0eae5547dd48befd7e6233467a3e8f6567167b8b39","schema_version":"1.0","event_id":"sha256:b7aefce07dcfd4f07cc70a0eae5547dd48befd7e6233467a3e8f6567167b8b39"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KFAP4FXWEJD6HTKO2TJ2OMMY7F/bundle.json","state_url":"https://pith.science/pith/KFAP4FXWEJD6HTKO2TJ2OMMY7F/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KFAP4FXWEJD6HTKO2TJ2OMMY7F/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":"2026-05-27T09:06:15Z","links":{"resolver":"https://pith.science/pith/KFAP4FXWEJD6HTKO2TJ2OMMY7F","bundle":"https://pith.science/pith/KFAP4FXWEJD6HTKO2TJ2OMMY7F/bundle.json","state":"https://pith.science/pith/KFAP4FXWEJD6HTKO2TJ2OMMY7F/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KFAP4FXWEJD6HTKO2TJ2OMMY7F/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:KFAP4FXWEJD6HTKO2TJ2OMMY7F","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":"ecdd7b80ffa04e0ab9bc3cd4dcb544cefac34d5d726092880f508fecf0e43c94","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2015-04-11T15:15:43Z","title_canon_sha256":"e9884a70ee83c370fb658750cced6351b4a8a93f4c50cd9e3edf8c3d1a43592d"},"schema_version":"1.0","source":{"id":"1504.02887","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1504.02887","created_at":"2026-05-18T02:18:59Z"},{"alias_kind":"arxiv_version","alias_value":"1504.02887v1","created_at":"2026-05-18T02:18:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.02887","created_at":"2026-05-18T02:18:59Z"},{"alias_kind":"pith_short_12","alias_value":"KFAP4FXWEJD6","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_16","alias_value":"KFAP4FXWEJD6HTKO","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_8","alias_value":"KFAP4FXW","created_at":"2026-05-18T12:29:27Z"}],"graph_snapshots":[{"event_id":"sha256:b7aefce07dcfd4f07cc70a0eae5547dd48befd7e6233467a3e8f6567167b8b39","target":"graph","created_at":"2026-05-18T02:18:59Z","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":"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","authors_text":"Claudia Czado, Matthias Killiches","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2015-04-11T15:15:43Z","title":"Block-Maxima of Vines"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.02887","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:b0e9554d56f944f811a387510072bc93cb3cf8526ed246bb0a004b98a5cae12e","target":"record","created_at":"2026-05-18T02:18:59Z","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":"ecdd7b80ffa04e0ab9bc3cd4dcb544cefac34d5d726092880f508fecf0e43c94","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2015-04-11T15:15:43Z","title_canon_sha256":"e9884a70ee83c370fb658750cced6351b4a8a93f4c50cd9e3edf8c3d1a43592d"},"schema_version":"1.0","source":{"id":"1504.02887","kind":"arxiv","version":1}},"canonical_sha256":"5140fe16f62247e3cd4ed4d3a73198f96103c484c582003ab0cfe1b3ed568f37","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5140fe16f62247e3cd4ed4d3a73198f96103c484c582003ab0cfe1b3ed568f37","first_computed_at":"2026-05-18T02:18:59.729276Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:18:59.729276Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1oaAlv5S2RX/b43z0feDUA9cjSJvAZQNMq5reOqo9jqQFoP48nyx9QMTMBLiDAmy0VPH9/svafIcPTC4ZQsaDg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:18:59.729846Z","signed_message":"canonical_sha256_bytes"},"source_id":"1504.02887","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b0e9554d56f944f811a387510072bc93cb3cf8526ed246bb0a004b98a5cae12e","sha256:b7aefce07dcfd4f07cc70a0eae5547dd48befd7e6233467a3e8f6567167b8b39"],"state_sha256":"5387147b99dc5a2e4d5a3dc520180ead02ed27a253fa495b1e071491c145618f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lflpM+JTUhjxCw/C+p/GlOuUmvc07VP8D7jy4tjX7jEKoqrhLrOgyNa6ElPG3xfF0EkNjox7+RffBcdum1RoBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T09:06:15.088594Z","bundle_sha256":"86fd63ff42b807116990ffe51681d71fae3e899c8fe60f44134afd1f1b06674e"}}