{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:OHORBEHQDMKRF6GS6WTJ5A4YGE","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":"56ff8d09a3f8c48ae09dc293cd78fd1e2ddd8d4a8e1f3b39b344ded49120b53a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2017-07-03T12:57:59Z","title_canon_sha256":"0d49eccfa4f33e7cb7b20c3e2f21ad2b82246119220facd92b2b077ab2ab80a1"},"schema_version":"1.0","source":{"id":"1707.00517","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1707.00517","created_at":"2026-05-18T00:27:36Z"},{"alias_kind":"arxiv_version","alias_value":"1707.00517v2","created_at":"2026-05-18T00:27:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.00517","created_at":"2026-05-18T00:27:36Z"},{"alias_kind":"pith_short_12","alias_value":"OHORBEHQDMKR","created_at":"2026-05-18T12:31:34Z"},{"alias_kind":"pith_short_16","alias_value":"OHORBEHQDMKRF6GS","created_at":"2026-05-18T12:31:34Z"},{"alias_kind":"pith_short_8","alias_value":"OHORBEHQ","created_at":"2026-05-18T12:31:34Z"}],"graph_snapshots":[{"event_id":"sha256:38cf0789ca3cd1c83e1166f0acd74253b4b9a5ffe7ee666f5d3d7950b04669da","target":"graph","created_at":"2026-05-18T00:27:36Z","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 class of Archimax copulas is generalized to hierarchical Archimax copulas in two ways. First, a hierarchical construction of $d$-norm generators is introduced to construct hierarchical stable tail dependence functions which induce a hierarchical structure on Archimax copulas. Second, by itself or additionally, hierarchical frailties are introduced to extend Archimax copulas to hierarchical Archimax copulas in a similar way as nested Archimedean copulas extend Archimedean copulas. Possible extensions to nested Archimax copulas are discussed. Additionally, a general formula for the density a","authors_text":"Avinash Prasad, Marius Hofert, Raphael Huser","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2017-07-03T12:57:59Z","title":"Hierarchical Archimax copulas"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.00517","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":"sha256:8355cc8f7a00b840ff38026125c6ac5463a08da07776d5e82140a19f0b7a4e55","target":"record","created_at":"2026-05-18T00:27:36Z","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":"56ff8d09a3f8c48ae09dc293cd78fd1e2ddd8d4a8e1f3b39b344ded49120b53a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2017-07-03T12:57:59Z","title_canon_sha256":"0d49eccfa4f33e7cb7b20c3e2f21ad2b82246119220facd92b2b077ab2ab80a1"},"schema_version":"1.0","source":{"id":"1707.00517","kind":"arxiv","version":2}},"canonical_sha256":"71dd1090f01b1512f8d2f5a69e8398310eb82800d26a6281a8612eb7adb2116d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"71dd1090f01b1512f8d2f5a69e8398310eb82800d26a6281a8612eb7adb2116d","first_computed_at":"2026-05-18T00:27:36.071493Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:27:36.071493Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"KCn8eLlT+JF7ovA7W/YHrnIOs7N+GloJ/Xi2wugh5dq0/QADOLA/UKOKeSvqiSWB00fl5RsmFR46teJBut9FDA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:27:36.072151Z","signed_message":"canonical_sha256_bytes"},"source_id":"1707.00517","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8355cc8f7a00b840ff38026125c6ac5463a08da07776d5e82140a19f0b7a4e55","sha256:38cf0789ca3cd1c83e1166f0acd74253b4b9a5ffe7ee666f5d3d7950b04669da"],"state_sha256":"1d2ec5ee338fdc0566a77e44d5cb166130136784c2273c257a012ec1d63e9a66"}