{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:PMXV3FXROLE3KNRSWO45YWFZFN","short_pith_number":"pith:PMXV3FXR","canonical_record":{"source":{"id":"2303.08197","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.ST","submitted_at":"2023-03-14T19:32:41Z","cross_cats_sorted":["stat.ME","stat.TH"],"title_canon_sha256":"9969ed675969189d7af5c682152115db3ba74db7cdf21250a113270abef03f7a","abstract_canon_sha256":"2981ec890dfc833ecb214a07203b1bcbe60f86329ca253cf6861aa65d5bd040f"},"schema_version":"1.0"},"canonical_sha256":"7b2f5d96f172c9b53632b3b9dc58b92b55762bc6984d5eae8cdef6dfa63c1eb4","source":{"kind":"arxiv","id":"2303.08197","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2303.08197","created_at":"2026-07-05T05:51:17Z"},{"alias_kind":"arxiv_version","alias_value":"2303.08197v1","created_at":"2026-07-05T05:51:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2303.08197","created_at":"2026-07-05T05:51:17Z"},{"alias_kind":"pith_short_12","alias_value":"PMXV3FXROLE3","created_at":"2026-07-05T05:51:17Z"},{"alias_kind":"pith_short_16","alias_value":"PMXV3FXROLE3KNRS","created_at":"2026-07-05T05:51:17Z"},{"alias_kind":"pith_short_8","alias_value":"PMXV3FXR","created_at":"2026-07-05T05:51:17Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:PMXV3FXROLE3KNRSWO45YWFZFN","target":"record","payload":{"canonical_record":{"source":{"id":"2303.08197","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.ST","submitted_at":"2023-03-14T19:32:41Z","cross_cats_sorted":["stat.ME","stat.TH"],"title_canon_sha256":"9969ed675969189d7af5c682152115db3ba74db7cdf21250a113270abef03f7a","abstract_canon_sha256":"2981ec890dfc833ecb214a07203b1bcbe60f86329ca253cf6861aa65d5bd040f"},"schema_version":"1.0"},"canonical_sha256":"7b2f5d96f172c9b53632b3b9dc58b92b55762bc6984d5eae8cdef6dfa63c1eb4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:51:17.116563Z","signature_b64":"9vMUDt7AVOZMe4qW1tE3FHE/Hrk7c+eW/B9Hf5aMvZo5u730ATvasuhPEcsEH6Ym32OX7Bdu0LfsrI1K8J/sAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7b2f5d96f172c9b53632b3b9dc58b92b55762bc6984d5eae8cdef6dfa63c1eb4","last_reissued_at":"2026-07-05T05:51:17.116168Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:51:17.116168Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2303.08197","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T05:51:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bIGezxqEtidIJF/mIacTd+QzQMbddC4YMqANPIpabd6mzGAzvPqitGfnoxqGY9v7afJjePlYSZEvsIX7Yu9uCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-20T11:08:40.341103Z"},"content_sha256":"1c989a6630853bb327f543e2f24f4b382e7c2080698694dcf23a89ed783dd2e0","schema_version":"1.0","event_id":"sha256:1c989a6630853bb327f543e2f24f4b382e7c2080698694dcf23a89ed783dd2e0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:PMXV3FXROLE3KNRSWO45YWFZFN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Adaptive Testing for High-dimensional Data","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["stat.ME","stat.TH"],"primary_cat":"math.ST","authors_text":"Runmin Wang, Xiaofeng Shao, Yangfan Zhang","submitted_at":"2023-03-14T19:32:41Z","abstract_excerpt":"In this article, we propose a class of $L_q$-norm based U-statistics for a family of global testing problems related to high-dimensional data. This includes testing of mean vector and its spatial sign, simultaneous testing of linear model coefficients, and testing of component-wise independence for high-dimensional observations, among others. Under the null hypothesis, we derive asymptotic normality and independence between $L_q$-norm based U-statistics for several $q$s under mild moment and cumulant conditions. A simple combination of two studentized $L_q$-based test statistics via their $p$-"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2303.08197","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2303.08197/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T05:51:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vaHJKKgH9jIZxydsuEs69jJqKlXyVzGWLew3rPejIIkyS9iGUV6Sk/e79WZJPkE13EgnmD5rg4g2g9XoAqe8DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-20T11:08:40.341847Z"},"content_sha256":"91db9b0038de915bbb166cfd6f6c77767981d1997d8a1b220b0b22b5f4a81225","schema_version":"1.0","event_id":"sha256:91db9b0038de915bbb166cfd6f6c77767981d1997d8a1b220b0b22b5f4a81225"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PMXV3FXROLE3KNRSWO45YWFZFN/bundle.json","state_url":"https://pith.science/pith/PMXV3FXROLE3KNRSWO45YWFZFN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PMXV3FXROLE3KNRSWO45YWFZFN/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-20T11:08:40Z","links":{"resolver":"https://pith.science/pith/PMXV3FXROLE3KNRSWO45YWFZFN","bundle":"https://pith.science/pith/PMXV3FXROLE3KNRSWO45YWFZFN/bundle.json","state":"https://pith.science/pith/PMXV3FXROLE3KNRSWO45YWFZFN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PMXV3FXROLE3KNRSWO45YWFZFN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:PMXV3FXROLE3KNRSWO45YWFZFN","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":"2981ec890dfc833ecb214a07203b1bcbe60f86329ca253cf6861aa65d5bd040f","cross_cats_sorted":["stat.ME","stat.TH"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.ST","submitted_at":"2023-03-14T19:32:41Z","title_canon_sha256":"9969ed675969189d7af5c682152115db3ba74db7cdf21250a113270abef03f7a"},"schema_version":"1.0","source":{"id":"2303.08197","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2303.08197","created_at":"2026-07-05T05:51:17Z"},{"alias_kind":"arxiv_version","alias_value":"2303.08197v1","created_at":"2026-07-05T05:51:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2303.08197","created_at":"2026-07-05T05:51:17Z"},{"alias_kind":"pith_short_12","alias_value":"PMXV3FXROLE3","created_at":"2026-07-05T05:51:17Z"},{"alias_kind":"pith_short_16","alias_value":"PMXV3FXROLE3KNRS","created_at":"2026-07-05T05:51:17Z"},{"alias_kind":"pith_short_8","alias_value":"PMXV3FXR","created_at":"2026-07-05T05:51:17Z"}],"graph_snapshots":[{"event_id":"sha256:91db9b0038de915bbb166cfd6f6c77767981d1997d8a1b220b0b22b5f4a81225","target":"graph","created_at":"2026-07-05T05:51:17Z","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/2303.08197/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this article, we propose a class of $L_q$-norm based U-statistics for a family of global testing problems related to high-dimensional data. This includes testing of mean vector and its spatial sign, simultaneous testing of linear model coefficients, and testing of component-wise independence for high-dimensional observations, among others. Under the null hypothesis, we derive asymptotic normality and independence between $L_q$-norm based U-statistics for several $q$s under mild moment and cumulant conditions. A simple combination of two studentized $L_q$-based test statistics via their $p$-","authors_text":"Runmin Wang, Xiaofeng Shao, Yangfan Zhang","cross_cats":["stat.ME","stat.TH"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.ST","submitted_at":"2023-03-14T19:32:41Z","title":"Adaptive Testing for High-dimensional Data"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2303.08197","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":"sha256:1c989a6630853bb327f543e2f24f4b382e7c2080698694dcf23a89ed783dd2e0","target":"record","created_at":"2026-07-05T05:51:17Z","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":"2981ec890dfc833ecb214a07203b1bcbe60f86329ca253cf6861aa65d5bd040f","cross_cats_sorted":["stat.ME","stat.TH"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.ST","submitted_at":"2023-03-14T19:32:41Z","title_canon_sha256":"9969ed675969189d7af5c682152115db3ba74db7cdf21250a113270abef03f7a"},"schema_version":"1.0","source":{"id":"2303.08197","kind":"arxiv","version":1}},"canonical_sha256":"7b2f5d96f172c9b53632b3b9dc58b92b55762bc6984d5eae8cdef6dfa63c1eb4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7b2f5d96f172c9b53632b3b9dc58b92b55762bc6984d5eae8cdef6dfa63c1eb4","first_computed_at":"2026-07-05T05:51:17.116168Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:51:17.116168Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9vMUDt7AVOZMe4qW1tE3FHE/Hrk7c+eW/B9Hf5aMvZo5u730ATvasuhPEcsEH6Ym32OX7Bdu0LfsrI1K8J/sAw==","signature_status":"signed_v1","signed_at":"2026-07-05T05:51:17.116563Z","signed_message":"canonical_sha256_bytes"},"source_id":"2303.08197","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1c989a6630853bb327f543e2f24f4b382e7c2080698694dcf23a89ed783dd2e0","sha256:91db9b0038de915bbb166cfd6f6c77767981d1997d8a1b220b0b22b5f4a81225"],"state_sha256":"c1f35b82d06cdf44bcaedf78b28bb5a0807c7cb8e8aac1a7a2385e225dab0734"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8jhce45qfmUfPL4C+6i0bzgkhsjxhzhQ6y0pj4raG70/XrvQZ5O8yuitDnRqiHgQdPC70jdhtEiuNZE6weWnDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-20T11:08:40.348082Z","bundle_sha256":"fd7c982d38994128f93d9c5c72955cf8e180c89ff5a432d2d4ea50d74fcecd0f"}}