{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:EETQEOE4NKK7OKLSHQEC2HOBWF","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":"a4abf0cc94da8ffb67868c5a2ec96d2b8c7692d9d7a7620c6f1916107d674b46","cross_cats_sorted":["stat.OT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2017-03-08T21:40:57Z","title_canon_sha256":"c5571db5df0021aa3cc330b12cb852631120f333f8216598dcfc1683dea4e5f8"},"schema_version":"1.0","source":{"id":"1703.03043","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.03043","created_at":"2026-05-18T00:28:56Z"},{"alias_kind":"arxiv_version","alias_value":"1703.03043v3","created_at":"2026-05-18T00:28:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.03043","created_at":"2026-05-18T00:28:56Z"},{"alias_kind":"pith_short_12","alias_value":"EETQEOE4NKK7","created_at":"2026-05-18T12:31:12Z"},{"alias_kind":"pith_short_16","alias_value":"EETQEOE4NKK7OKLS","created_at":"2026-05-18T12:31:12Z"},{"alias_kind":"pith_short_8","alias_value":"EETQEOE4","created_at":"2026-05-18T12:31:12Z"}],"graph_snapshots":[{"event_id":"sha256:b3d983c087f41b0d322a1b8db7647a513cb1ce6b1dc0e3542bf621aec3d186a6","target":"graph","created_at":"2026-05-18T00:28:56Z","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 propose a bootstrap procedure for data that may exhibit clustering in two or more dimensions. We use insights from the theory of generalized U-statistics to analyze the large-sample properties of statistics that are sample averages from the observations pooled across clusters. The asymptotic distribution of these statistics may be non-standard if there is no clustering in means. We show that the proposed bootstrap procedure is (a) point-wise consistent for any fixed data-generating process (DGP), (b) uniformly consistent if we exclude the case of clustering without clustering in means, and ","authors_text":"Konrad Menzel","cross_cats":["stat.OT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2017-03-08T21:40:57Z","title":"Bootstrap with Clustering in Two or More Dimensions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.03043","kind":"arxiv","version":3},"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":"sha256:67726f0fe8470fe6702e804154cf44cb0cadf71d2cd3f4fa115c02bdc197d90a","target":"record","created_at":"2026-05-18T00:28:56Z","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":"a4abf0cc94da8ffb67868c5a2ec96d2b8c7692d9d7a7620c6f1916107d674b46","cross_cats_sorted":["stat.OT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2017-03-08T21:40:57Z","title_canon_sha256":"c5571db5df0021aa3cc330b12cb852631120f333f8216598dcfc1683dea4e5f8"},"schema_version":"1.0","source":{"id":"1703.03043","kind":"arxiv","version":3}},"canonical_sha256":"212702389c6a95f729723c082d1dc1b140958cbb1acd12b46047ef84ba1fa383","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"212702389c6a95f729723c082d1dc1b140958cbb1acd12b46047ef84ba1fa383","first_computed_at":"2026-05-18T00:28:56.285087Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:28:56.285087Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"UICpQf31XHfIgBCb8XAp3XRM96LmQXidGzywHPXk2zjxvRn7AHLOfsMS/ge7UhY5be4fBv0BeT1tWkkZyVdfCw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:28:56.285745Z","signed_message":"canonical_sha256_bytes"},"source_id":"1703.03043","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:67726f0fe8470fe6702e804154cf44cb0cadf71d2cd3f4fa115c02bdc197d90a","sha256:b3d983c087f41b0d322a1b8db7647a513cb1ce6b1dc0e3542bf621aec3d186a6"],"state_sha256":"be87c4c8006500f792e812cf180cc5d0db54d88737c16c19522704e93a0b9a41"}