{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:5S5QHSNC6O56KITNVGC7IJSYNY","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":"5e882fbf613ede671ae15225ccf17f96373b46e395a090694664ee5039ac7873","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2015-10-05T19:52:57Z","title_canon_sha256":"020e1ec1410e61fdf3c764e62055ab59af14a2973eb775591a39421010277453"},"schema_version":"1.0","source":{"id":"1510.01307","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1510.01307","created_at":"2026-05-18T01:27:22Z"},{"alias_kind":"arxiv_version","alias_value":"1510.01307v4","created_at":"2026-05-18T01:27:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.01307","created_at":"2026-05-18T01:27:22Z"},{"alias_kind":"pith_short_12","alias_value":"5S5QHSNC6O56","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_16","alias_value":"5S5QHSNC6O56KITN","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_8","alias_value":"5S5QHSNC","created_at":"2026-05-18T12:29:07Z"}],"graph_snapshots":[{"event_id":"sha256:a03f00100c500d303156781fbe72d1d27c24341889b8636514ef308e5beba101","target":"graph","created_at":"2026-05-18T01:27:22Z","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 investigate certain asymptotic optimality properties of a very broad class of one-group continuous shrinkage priors for simultaneous estimation and testing of a sparse normal mean vector. Asymptotic optimality of Bayes estimates and posterior concentration properties corresponding to the general class of one-group priors under consideration are studied where the data is assumed to be generated according to a multivariate normal distribution with a fixed unknown mean vector. Under the assumption that the number of non-zero means is known, we show that Bayes estimators arisin","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":"2015-10-05T19:52:57Z","title":"Asymptotic Minimaxity, Optimal Posterior Concentration and Asymptotic Bayes Optimality of Horseshoe-type Priors Under Sparsity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.01307","kind":"arxiv","version":4},"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:fe94dfb7c76c116038a209b489336383465626dad5ab3712a06301391ee0b359","target":"record","created_at":"2026-05-18T01:27:22Z","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":"5e882fbf613ede671ae15225ccf17f96373b46e395a090694664ee5039ac7873","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2015-10-05T19:52:57Z","title_canon_sha256":"020e1ec1410e61fdf3c764e62055ab59af14a2973eb775591a39421010277453"},"schema_version":"1.0","source":{"id":"1510.01307","kind":"arxiv","version":4}},"canonical_sha256":"ecbb03c9a2f3bbe5226da985f426586e2b282e5f509145824666a39bf19820a7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ecbb03c9a2f3bbe5226da985f426586e2b282e5f509145824666a39bf19820a7","first_computed_at":"2026-05-18T01:27:22.239659Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:27:22.239659Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"65RUOcjUygNp04xzc53gUEDTfaErfqK2KIoIinJFEREvYddc4y0LeuICSsodIC9IhNm3ESJSHYFxt+WkfYddBA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:27:22.240137Z","signed_message":"canonical_sha256_bytes"},"source_id":"1510.01307","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fe94dfb7c76c116038a209b489336383465626dad5ab3712a06301391ee0b359","sha256:a03f00100c500d303156781fbe72d1d27c24341889b8636514ef308e5beba101"],"state_sha256":"d4ab09ec004494f9a23347b09e29721422f2c74f0b700427dd6a52cdaa3ed672"}