{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:RGYX65YFNUHVTY7VQRLOZ2NEDZ","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":"443a9265d8af446552c6ed69b0cebec0587334dd24fa5293b5075eabccd57ae7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2026-07-13T09:20:37Z","title_canon_sha256":"2545816eb2b60ad1e05649da09083b036901439e0ae44787fb25ded161f774ea"},"schema_version":"1.0","source":{"id":"2607.11304","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.11304","created_at":"2026-07-14T01:22:27Z"},{"alias_kind":"arxiv_version","alias_value":"2607.11304v1","created_at":"2026-07-14T01:22:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.11304","created_at":"2026-07-14T01:22:27Z"},{"alias_kind":"pith_short_12","alias_value":"RGYX65YFNUHV","created_at":"2026-07-14T01:22:27Z"},{"alias_kind":"pith_short_16","alias_value":"RGYX65YFNUHVTY7V","created_at":"2026-07-14T01:22:27Z"},{"alias_kind":"pith_short_8","alias_value":"RGYX65YF","created_at":"2026-07-14T01:22:27Z"}],"graph_snapshots":[{"event_id":"sha256:0e0c213724a21005d3fed478ccbe125470dfe6c559d62f962ce2eb78f7c3a56e","target":"graph","created_at":"2026-07-14T01:22:27Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2607.11304/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Elliptical distributions provide a flexible and widely used extension of multivariate normal distribution. They play a critical role in many statistical procedures when dealing with high-dimensional data. However, goodness-of-fit testing for elliptical distributions remains challenging when the dimension is comparable to or larger than the sample size. In this work, we propose a correlation-free test for high-dimensional elliptical distributions. We establish high-dimensional Gaussian approximation for the test statistic under general correlation structures, allowing the dimension to grow as $","authors_text":"Bingye Yang, Minghua Deng, Wenrui Wu, Xu Guo","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2026-07-13T09:20:37Z","title":"A Correlation-Free Test for High-Dimensional Elliptical Distributions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.11304","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":"sha256:6f6d36bb4e26d2ef1851ff2868910de324a5d32011471d93ef07ce440582bb88","target":"record","created_at":"2026-07-14T01:22:27Z","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":"443a9265d8af446552c6ed69b0cebec0587334dd24fa5293b5075eabccd57ae7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2026-07-13T09:20:37Z","title_canon_sha256":"2545816eb2b60ad1e05649da09083b036901439e0ae44787fb25ded161f774ea"},"schema_version":"1.0","source":{"id":"2607.11304","kind":"arxiv","version":1}},"canonical_sha256":"89b17f77056d0f59e3f58456ece9a41e607ecb52bd87c6f3c51a241609fcc870","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"89b17f77056d0f59e3f58456ece9a41e607ecb52bd87c6f3c51a241609fcc870","first_computed_at":"2026-07-14T01:22:27.697698Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-14T01:22:27.697698Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"IiKQfgxZp7Y8c9Wu8nbCc+CBtpKJfCMP6lb6jr0jCoUCt19CArz1o9eudWJOlVDxYL2+/5iGEySNq8Eh/QszDw==","signature_status":"signed_v1","signed_at":"2026-07-14T01:22:27.698598Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.11304","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6f6d36bb4e26d2ef1851ff2868910de324a5d32011471d93ef07ce440582bb88","sha256:0e0c213724a21005d3fed478ccbe125470dfe6c559d62f962ce2eb78f7c3a56e"],"state_sha256":"12cd941dd3d628d7cba7c1805ab5ead185a5b33fbcc352055b1443345f4f21c0"}