{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:ICHVDIGFYU42XH6CSRHYEIJUVU","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":"8ddb7f600cbd2bb265706031517bcf20cd6541064191f3d2fdb6e56cfe31e050","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2011-07-12T20:20:39Z","title_canon_sha256":"63445930fc6fdec9f3bb47cb04a7d4fd093daf66e42ae3b3a1d7e77f254da023"},"schema_version":"1.0","source":{"id":"1107.2410","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1107.2410","created_at":"2026-05-18T04:07:29Z"},{"alias_kind":"arxiv_version","alias_value":"1107.2410v2","created_at":"2026-05-18T04:07:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1107.2410","created_at":"2026-05-18T04:07:29Z"},{"alias_kind":"pith_short_12","alias_value":"ICHVDIGFYU42","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_16","alias_value":"ICHVDIGFYU42XH6C","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_8","alias_value":"ICHVDIGF","created_at":"2026-05-18T12:26:30Z"}],"graph_snapshots":[{"event_id":"sha256:c3c2535c4b8d1bb0e2dbbba7cce11da37176d3951bc8264854d2a9646d8d52c6","target":"graph","created_at":"2026-05-18T04:07:29Z","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":"Extreme-value copulas arise in the asymptotic theory for componentwise maxima of independent random samples. An extreme-value copula is determined by its Pickands dependence function, which is a function on the unit simplex subject to certain shape constraints that arise from an integral transform of an underlying measure called spectral measure. Multivariate extensions are provided of certain rank-based nonparametric estimators of the Pickands dependence function. The shape constraint that the estimator should itself be a Pickands dependence function is enforced by replacing an initial estima","authors_text":"Gordon Gudendorf, Johan Segers","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2011-07-12T20:20:39Z","title":"Nonparametric estimation of multivariate extreme-value copulas"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1107.2410","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:e9ddfd74b2b342fc661d9996bfb1037650b39e7cdc2d11926413ff2ab36a2c3f","target":"record","created_at":"2026-05-18T04:07:29Z","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":"8ddb7f600cbd2bb265706031517bcf20cd6541064191f3d2fdb6e56cfe31e050","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2011-07-12T20:20:39Z","title_canon_sha256":"63445930fc6fdec9f3bb47cb04a7d4fd093daf66e42ae3b3a1d7e77f254da023"},"schema_version":"1.0","source":{"id":"1107.2410","kind":"arxiv","version":2}},"canonical_sha256":"408f51a0c5c539ab9fc2944f822134ad17387045447f06a19c71760d2d564736","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"408f51a0c5c539ab9fc2944f822134ad17387045447f06a19c71760d2d564736","first_computed_at":"2026-05-18T04:07:29.115229Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:07:29.115229Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"OV3pkf0SPj/bREMS9E0b05966kpCaQBzMcVdsVxTPyt61EPdFXzHPuB7qun30KQLwrLnN0k1rSqyOkguIEVTBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:07:29.115696Z","signed_message":"canonical_sha256_bytes"},"source_id":"1107.2410","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e9ddfd74b2b342fc661d9996bfb1037650b39e7cdc2d11926413ff2ab36a2c3f","sha256:c3c2535c4b8d1bb0e2dbbba7cce11da37176d3951bc8264854d2a9646d8d52c6"],"state_sha256":"1f971a52b020ad03bd2101a4a17d6822504df1bf73c0bf0a3b491974ce090df5"}