{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:J5WT7F2V6WSGQSRNAXESHCY3CQ","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":"4b7a9ed0eb8b1c1dfc5cc7311ef04abac9443b53eb3287703e4b2ef4230a334e","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2015-03-31T05:41:53Z","title_canon_sha256":"bb68c2b50f50737da47ffb096ac6b5d8e37a93326dd7932664bd13961531cb1e"},"schema_version":"1.0","source":{"id":"1503.08923","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1503.08923","created_at":"2026-05-18T00:10:48Z"},{"alias_kind":"arxiv_version","alias_value":"1503.08923v3","created_at":"2026-05-18T00:10:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.08923","created_at":"2026-05-18T00:10:48Z"},{"alias_kind":"pith_short_12","alias_value":"J5WT7F2V6WSG","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_16","alias_value":"J5WT7F2V6WSGQSRN","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_8","alias_value":"J5WT7F2V","created_at":"2026-05-18T12:29:27Z"}],"graph_snapshots":[{"event_id":"sha256:a67d87886f2bafe692a9ee12b660d309521d9dac41f32566ee69a327d85c3cff","target":"graph","created_at":"2026-05-18T00:10:48Z","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":"In this article, we consider the problem of simultaneous testing of hypotheses when the individual test statistics are not necessarily independent. Specifically, we consider the problem of simultaneous testing of point null hypotheses against two-sided alternatives for the mean parameters of normally distributed random variables. We assume that conditionally given the vector of means, these random variables jointly follow a multivariate normal distribution with a known but arbitrary covariance matrix. We consider a Bayesian framework where each unknown mean parameter is modeled through a two-c","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":"2015-03-31T05:41:53Z","title":"A New Step-down Procedure for Simultaneous Hypothesis Testing Under Dependence"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.08923","kind":"arxiv","version":3},"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":"sha256:27ca724f54e06ba5a59d0d74e9160bb68730a07e9e198f825012f5a240001040","target":"record","created_at":"2026-05-18T00:10:48Z","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":"4b7a9ed0eb8b1c1dfc5cc7311ef04abac9443b53eb3287703e4b2ef4230a334e","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2015-03-31T05:41:53Z","title_canon_sha256":"bb68c2b50f50737da47ffb096ac6b5d8e37a93326dd7932664bd13961531cb1e"},"schema_version":"1.0","source":{"id":"1503.08923","kind":"arxiv","version":3}},"canonical_sha256":"4f6d3f9755f5a4684a2d05c9238b1b142acea54623da1b725ce54286deb2072e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4f6d3f9755f5a4684a2d05c9238b1b142acea54623da1b725ce54286deb2072e","first_computed_at":"2026-05-18T00:10:48.343821Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:10:48.343821Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3V965ukBrwBdJcNfFH+AHZ9yOBFhLZ142oKZXJIF2Dscd6cH7R8OJktnM7w/dgjXlrojp/bHzJX6LvJ+J1mbBA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:10:48.344539Z","signed_message":"canonical_sha256_bytes"},"source_id":"1503.08923","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:27ca724f54e06ba5a59d0d74e9160bb68730a07e9e198f825012f5a240001040","sha256:a67d87886f2bafe692a9ee12b660d309521d9dac41f32566ee69a327d85c3cff"],"state_sha256":"719ed39fe2fc48070f0c46642335b23dd6b7cdf229519dfc7d032c28973fb874"}