{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:TSONG6EV6UXWRHLBJXWCBNZEKE","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":"8ea3fe9f6a8a7427545d443054911b577f07fde04dfd1e232aacdf6b46638f58","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2020-11-26T23:20:12Z","title_canon_sha256":"d9a13c7daeebd8f8a5e7698d501ed1f579b3c06f6ff2a7ba7bf262b25c55a75a"},"schema_version":"1.0","source":{"id":"2011.13496","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2011.13496","created_at":"2026-07-05T01:54:54Z"},{"alias_kind":"arxiv_version","alias_value":"2011.13496v1","created_at":"2026-07-05T01:54:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2011.13496","created_at":"2026-07-05T01:54:54Z"},{"alias_kind":"pith_short_12","alias_value":"TSONG6EV6UXW","created_at":"2026-07-05T01:54:54Z"},{"alias_kind":"pith_short_16","alias_value":"TSONG6EV6UXWRHLB","created_at":"2026-07-05T01:54:54Z"},{"alias_kind":"pith_short_8","alias_value":"TSONG6EV","created_at":"2026-07-05T01:54:54Z"}],"graph_snapshots":[{"event_id":"sha256:c9dd13da795c836d118da8ca915161a0bb14c48168053846b9b176d3ac18314b","target":"graph","created_at":"2026-07-05T01:54:54Z","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/2011.13496/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We consider the problem of detecting sparse heterogeneous mixtures in a two-sample setting from a nonparametric perspective, where the effect manifests itself as a positive shift. We suggest a two-sample higher criticism test, and show that it is first-order comparable to the likelihood ratio test for the generalized Guassian mixture models in all sparsity regimes.","authors_text":"Rong Huang","cross_cats":["stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2020-11-26T23:20:12Z","title":"Detecting Sparse Heterogeneous Mixtures in a Two-Sample Problem"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2011.13496","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":"sha256:36a181d0734075e267d35629012a4fe89d40fd14523c3ffd41e82a58fe402ced","target":"record","created_at":"2026-07-05T01:54:54Z","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":"8ea3fe9f6a8a7427545d443054911b577f07fde04dfd1e232aacdf6b46638f58","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2020-11-26T23:20:12Z","title_canon_sha256":"d9a13c7daeebd8f8a5e7698d501ed1f579b3c06f6ff2a7ba7bf262b25c55a75a"},"schema_version":"1.0","source":{"id":"2011.13496","kind":"arxiv","version":1}},"canonical_sha256":"9c9cd37895f52f689d614dec20b72451334dfe3ba5b42ec2914a78687b8f896f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9c9cd37895f52f689d614dec20b72451334dfe3ba5b42ec2914a78687b8f896f","first_computed_at":"2026-07-05T01:54:54.925729Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:54:54.925729Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"m4rcM0TLeS/ZWwjre85jtGhmFxb9wX/INl3vyCGeaTLqAomGFuaviWqn7MSqjFStQ6UwSSrAfigGdHCFjwo7Cg==","signature_status":"signed_v1","signed_at":"2026-07-05T01:54:54.926253Z","signed_message":"canonical_sha256_bytes"},"source_id":"2011.13496","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:36a181d0734075e267d35629012a4fe89d40fd14523c3ffd41e82a58fe402ced","sha256:c9dd13da795c836d118da8ca915161a0bb14c48168053846b9b176d3ac18314b"],"state_sha256":"6e99d19853f29661027c52daf620414dea3429b82dc3a869f51a7e057bdf54f8"}