{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:TOKWPIWGDK4XWNFWC4HF5NR7Y3","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":"310f4961c016a6dd9d754211b3018ea5cb07b49e8769e364c1d8ec4bdf24cacb","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2015-02-21T00:30:56Z","title_canon_sha256":"f774c06395b0f0b364680455146240f4b38d5eff05694578de48c5e7574016a1"},"schema_version":"1.0","source":{"id":"1502.06046","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1502.06046","created_at":"2026-05-18T02:26:38Z"},{"alias_kind":"arxiv_version","alias_value":"1502.06046v1","created_at":"2026-05-18T02:26:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.06046","created_at":"2026-05-18T02:26:38Z"},{"alias_kind":"pith_short_12","alias_value":"TOKWPIWGDK4X","created_at":"2026-05-18T12:29:42Z"},{"alias_kind":"pith_short_16","alias_value":"TOKWPIWGDK4XWNFW","created_at":"2026-05-18T12:29:42Z"},{"alias_kind":"pith_short_8","alias_value":"TOKWPIWG","created_at":"2026-05-18T12:29:42Z"}],"graph_snapshots":[{"event_id":"sha256:5bd4fde48cc8819743a6b736654de013a0df4dfb2ce76924281d9d815fc8a985","target":"graph","created_at":"2026-05-18T02:26:38Z","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 derive the rate of decay of the tail dependence of the bivariate skew normal distribution under the equal-skewness condition {\\theta}1 = {\\theta}2,= {\\theta}, say. The rate of convergence depends on whether {\\theta} > 0 or {\\theta} < 0. The latter case gives rate asymp- totically identical with the case {\\theta} = 0. The asymptotic behaviour of the quantile function for the univariate skew normal is part of the theoretical development.","authors_text":"Eugene Seneta, Thomas Fung","cross_cats":["stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2015-02-21T00:30:56Z","title":"Tail dependence convergence rate for the bivariate skew normal under the equal-skewness condition"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.06046","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:c83224e442d7c53562c0fbd1c8079b376f215694549a1fbc212c5187df72c7b8","target":"record","created_at":"2026-05-18T02:26:38Z","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":"310f4961c016a6dd9d754211b3018ea5cb07b49e8769e364c1d8ec4bdf24cacb","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2015-02-21T00:30:56Z","title_canon_sha256":"f774c06395b0f0b364680455146240f4b38d5eff05694578de48c5e7574016a1"},"schema_version":"1.0","source":{"id":"1502.06046","kind":"arxiv","version":1}},"canonical_sha256":"9b9567a2c61ab97b34b6170e5eb63fc6c09a62e1e1fa938a4f26f6b0e4ac973d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9b9567a2c61ab97b34b6170e5eb63fc6c09a62e1e1fa938a4f26f6b0e4ac973d","first_computed_at":"2026-05-18T02:26:38.208795Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:26:38.208795Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6XnZCOW0l6MHMSz6orPWr/VUrU5LTzEaCN1hWBEcimWZvZvupqiNsU6fKaJFd161RVvhH4oUKxkvNOxR9X1MAw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:26:38.209215Z","signed_message":"canonical_sha256_bytes"},"source_id":"1502.06046","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c83224e442d7c53562c0fbd1c8079b376f215694549a1fbc212c5187df72c7b8","sha256:5bd4fde48cc8819743a6b736654de013a0df4dfb2ce76924281d9d815fc8a985"],"state_sha256":"e8b399abfe678b7f90f60a10004815b3972e0757aa7ee435433e57a1c0efeeda"}