{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:X6PGSWTLIWRW34F6J7G6MXFJRW","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":"a67b11f4f4339882ed0f972eaaf745dee5251b1c0dadd4e7f24117a7335bc03a","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2026-05-26T19:46:16Z","title_canon_sha256":"71f8498ec65cb0fa56ec3e591aa30450ff8e4ba28456349f9505d80c7d0edabe"},"schema_version":"1.0","source":{"id":"2605.27625","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.27625","created_at":"2026-05-28T01:04:44Z"},{"alias_kind":"arxiv_version","alias_value":"2605.27625v1","created_at":"2026-05-28T01:04:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.27625","created_at":"2026-05-28T01:04:44Z"},{"alias_kind":"pith_short_12","alias_value":"X6PGSWTLIWRW","created_at":"2026-05-28T01:04:44Z"},{"alias_kind":"pith_short_16","alias_value":"X6PGSWTLIWRW34F6","created_at":"2026-05-28T01:04:44Z"},{"alias_kind":"pith_short_8","alias_value":"X6PGSWTL","created_at":"2026-05-28T01:04:44Z"}],"graph_snapshots":[{"event_id":"sha256:f66d734d71f023d51175b9e080d58aeb3c62b389e27332129b7ecd9ffb3b5408","target":"graph","created_at":"2026-05-28T01:04:44Z","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/2605.27625/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper, we consider the problem of simultaneous testing of multivariate normal means under arbitrary covariance dependence. Specifically, let $\\vec{X}\\sim N_n(\\vec{\\theta},\\vec{\\Sigma})$, where $\\vec{\\theta}\\in\\mathbb{R}^n$ is unknown and $\\vec{\\Sigma}$ is a known positive definite covariance matrix. The objective is to test $H_{0i}:\\theta_i=0$ against $H_{Ai}:\\theta_i\\neq 0$, simultaneously for $i=1,\\ldots,n$. We establish a general admissibility theorem for a broad class of monotone residual-based step-down multiple testing procedures which iteratively rank the active hypotheses using","authors_text":"Arijit Chakrabarti, Prasenjit Ghosh","cross_cats":["stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2026-05-26T19:46:16Z","title":"Admissibility of Monotone Residual-Based Step-Down Multiple Testing Procedures Under Arbitrary Covariance Dependence"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.27625","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":"sha256:2b11dc7c7fc9f2cb9d0b0ca27f47c3f3043c308c5fb5bbe30a8119a69f5c0b33","target":"record","created_at":"2026-05-28T01:04:44Z","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":"a67b11f4f4339882ed0f972eaaf745dee5251b1c0dadd4e7f24117a7335bc03a","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2026-05-26T19:46:16Z","title_canon_sha256":"71f8498ec65cb0fa56ec3e591aa30450ff8e4ba28456349f9505d80c7d0edabe"},"schema_version":"1.0","source":{"id":"2605.27625","kind":"arxiv","version":1}},"canonical_sha256":"bf9e695a6b45a36df0be4fcde65ca98d8e0ac6e20e3002be2e40db48f00b6ba4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bf9e695a6b45a36df0be4fcde65ca98d8e0ac6e20e3002be2e40db48f00b6ba4","first_computed_at":"2026-05-28T01:04:44.546351Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-28T01:04:44.546351Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jX/Omq7ivaG1n7MyMt45GIGUTFyR5kTwHcB4pEACUjhoZw8SXtPG6XrR0kY0R+FhLkuOQszVwoh1PDOpqAHTBQ==","signature_status":"signed_v1","signed_at":"2026-05-28T01:04:44.546851Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.27625","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2b11dc7c7fc9f2cb9d0b0ca27f47c3f3043c308c5fb5bbe30a8119a69f5c0b33","sha256:f66d734d71f023d51175b9e080d58aeb3c62b389e27332129b7ecd9ffb3b5408"],"state_sha256":"5c2165a3b832f310bac947bd811b70d6db3d5fd120b0f21a5d314f49cc47284e"}