{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:HHGPERTMQSFMX43LT5KXTW55KS","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":"f0964f0946c056b81a97e5db010436d245dabff76f9619ebb1876f86d4b1eab9","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2012-12-25T22:02:47Z","title_canon_sha256":"5d1cc15d387cfb754d87d84a911338f190aa7cc6b4658f57bad7fd892c14743a"},"schema_version":"1.0","source":{"id":"1212.6088","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1212.6088","created_at":"2026-05-18T03:37:42Z"},{"alias_kind":"arxiv_version","alias_value":"1212.6088v1","created_at":"2026-05-18T03:37:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.6088","created_at":"2026-05-18T03:37:42Z"},{"alias_kind":"pith_short_12","alias_value":"HHGPERTMQSFM","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_16","alias_value":"HHGPERTMQSFMX43L","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_8","alias_value":"HHGPERTM","created_at":"2026-05-18T12:27:09Z"}],"graph_snapshots":[{"event_id":"sha256:76d2958946193ff82d9bd998aeb26fcdcb3a1b764e756a8774f95e18f495d13c","target":"graph","created_at":"2026-05-18T03:37:42Z","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":"Penalized regression methods, such as $L_1$ regularization, are routinely used in high-dimensional applications, and there is a rich literature on optimality properties under sparsity assumptions. In the Bayesian paradigm, sparsity is routinely induced through two-component mixture priors having a probability mass at zero, but such priors encounter daunting computational problems in high dimensions. This has motivated an amazing variety of continuous shrinkage priors, which can be expressed as global-local scale mixtures of Gaussians, facilitating computation. In sharp contrast to the correspo","authors_text":"Anirban Bhattacharya, David B. Dunson, Debdeep Pati, Natesh S. Pillai","cross_cats":["stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2012-12-25T22:02:47Z","title":"Bayesian shrinkage"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.6088","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:e55d2ae74d11f0b1d14816d62426c042a4f67bf645ebc1b6fb10dcfdd47e0c4a","target":"record","created_at":"2026-05-18T03:37:42Z","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":"f0964f0946c056b81a97e5db010436d245dabff76f9619ebb1876f86d4b1eab9","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2012-12-25T22:02:47Z","title_canon_sha256":"5d1cc15d387cfb754d87d84a911338f190aa7cc6b4658f57bad7fd892c14743a"},"schema_version":"1.0","source":{"id":"1212.6088","kind":"arxiv","version":1}},"canonical_sha256":"39ccf2466c848acbf36b9f5579dbbd549aa3bdad01146d5962c894d00c2c9abe","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"39ccf2466c848acbf36b9f5579dbbd549aa3bdad01146d5962c894d00c2c9abe","first_computed_at":"2026-05-18T03:37:42.817491Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:37:42.817491Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"eHVK+/gM55NjrVDVBPHdIgVJh6fk6CRjPoda9qzfahcCNb3AMFpvVUE8JikQw9RZi1ZOQooZWMu1zcTbFVZnAA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:37:42.818115Z","signed_message":"canonical_sha256_bytes"},"source_id":"1212.6088","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e55d2ae74d11f0b1d14816d62426c042a4f67bf645ebc1b6fb10dcfdd47e0c4a","sha256:76d2958946193ff82d9bd998aeb26fcdcb3a1b764e756a8774f95e18f495d13c"],"state_sha256":"d5a2767ed30216a450fac5f257a52fbb1d4732b6bb57c2dd4752b0279aef8713"}