{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:72DFBLVM2QYB3B22B3GR3L5XLW","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":"bd498ca371bda69c6c1412da2951a57303e9c992cb16057aef55ea0fbf0a1295","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2016-07-20T10:02:55Z","title_canon_sha256":"7efa6b405db246b92acc081fcb9609953f8ada11dade8a0a024360198fbf745f"},"schema_version":"1.0","source":{"id":"1607.05896","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1607.05896","created_at":"2026-05-18T01:10:43Z"},{"alias_kind":"arxiv_version","alias_value":"1607.05896v1","created_at":"2026-05-18T01:10:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1607.05896","created_at":"2026-05-18T01:10:43Z"},{"alias_kind":"pith_short_12","alias_value":"72DFBLVM2QYB","created_at":"2026-05-18T12:30:04Z"},{"alias_kind":"pith_short_16","alias_value":"72DFBLVM2QYB3B22","created_at":"2026-05-18T12:30:04Z"},{"alias_kind":"pith_short_8","alias_value":"72DFBLVM","created_at":"2026-05-18T12:30:04Z"}],"graph_snapshots":[{"event_id":"sha256:eac3e9c5fd3e54291a578d2ffdeb9aa67243ba9ec2bf35770bff9b431bc62d5b","target":"graph","created_at":"2026-05-18T01:10:43Z","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":"Asymptotic normality of intermediate order statistics taken from univariate iid random variables is well-known. We generalize this result to random vectors in arbitrary dimension, where the order statistics are taken componentwise.","authors_text":"Florian Wisheckel, Michael Falk","cross_cats":["stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2016-07-20T10:02:55Z","title":"Multivariate Order Statistics: The Intermediate Case"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.05896","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":"sha256:869b68a975704eeb015ef19cc87ab36a469bd761e7bebda76ac966eb2ff58d47","target":"record","created_at":"2026-05-18T01:10:43Z","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":"bd498ca371bda69c6c1412da2951a57303e9c992cb16057aef55ea0fbf0a1295","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2016-07-20T10:02:55Z","title_canon_sha256":"7efa6b405db246b92acc081fcb9609953f8ada11dade8a0a024360198fbf745f"},"schema_version":"1.0","source":{"id":"1607.05896","kind":"arxiv","version":1}},"canonical_sha256":"fe8650aeacd4301d875a0ecd1dafb75dbbb97de0c31cb164b871f775420d89d6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fe8650aeacd4301d875a0ecd1dafb75dbbb97de0c31cb164b871f775420d89d6","first_computed_at":"2026-05-18T01:10:43.767602Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:10:43.767602Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"kdCvsnWGcHTfeUxMP9KP4FkqnH56wpbz9V2j2jZKKZh28HX1JqL5xhmjwP2gw23lgQKDBTsOYcST5YpNk7XmDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:10:43.768066Z","signed_message":"canonical_sha256_bytes"},"source_id":"1607.05896","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:869b68a975704eeb015ef19cc87ab36a469bd761e7bebda76ac966eb2ff58d47","sha256:eac3e9c5fd3e54291a578d2ffdeb9aa67243ba9ec2bf35770bff9b431bc62d5b"],"state_sha256":"1c837821608a19d21a40fe0fdad08d1da4dd9dd880adfb400b1d9c749e507d8b"}