{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:VJOSOK3Y55RYZUEXYA5YRJZWMM","short_pith_number":"pith:VJOSOK3Y","canonical_record":{"source":{"id":"1011.2333","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2010-11-10T10:27:54Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"632495c31394fe83f416e01686b4c37d14b8a2b32f20f2cde1861c4d6071b961","abstract_canon_sha256":"54ea6d852df81800d336aa0e21ed3aa314d362089f2df013b3c3e30653ffaf6f"},"schema_version":"1.0"},"canonical_sha256":"aa5d272b78ef638cd097c03b88a7366305459d331569e6040b2b4e4bf026a9f2","source":{"kind":"arxiv","id":"1011.2333","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1011.2333","created_at":"2026-05-18T04:36:30Z"},{"alias_kind":"arxiv_version","alias_value":"1011.2333v1","created_at":"2026-05-18T04:36:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1011.2333","created_at":"2026-05-18T04:36:30Z"},{"alias_kind":"pith_short_12","alias_value":"VJOSOK3Y55RY","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_16","alias_value":"VJOSOK3Y55RYZUEX","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_8","alias_value":"VJOSOK3Y","created_at":"2026-05-18T12:26:15Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:VJOSOK3Y55RYZUEXYA5YRJZWMM","target":"record","payload":{"canonical_record":{"source":{"id":"1011.2333","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2010-11-10T10:27:54Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"632495c31394fe83f416e01686b4c37d14b8a2b32f20f2cde1861c4d6071b961","abstract_canon_sha256":"54ea6d852df81800d336aa0e21ed3aa314d362089f2df013b3c3e30653ffaf6f"},"schema_version":"1.0"},"canonical_sha256":"aa5d272b78ef638cd097c03b88a7366305459d331569e6040b2b4e4bf026a9f2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:36:30.523399Z","signature_b64":"uibtvXF8i5duhLNiOR5nFzHrUOIUh4UnVmGpPCK+oAK/Yyz1x0TW1kpujOc3q3eLcNGsmvWyuN5r1eCzEYyGAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"aa5d272b78ef638cd097c03b88a7366305459d331569e6040b2b4e4bf026a9f2","last_reissued_at":"2026-05-18T04:36:30.522925Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:36:30.522925Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1011.2333","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:36:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9bZ57AcMZI35rUNHD34Yl2jrgTX9yNNvfPSF5u1plfUyX3SNXcpGlEhe1K2ImtMyhrlNe+4afpDQyNzChCtgDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T20:52:45.614166Z"},"content_sha256":"f449e5483465766c418e27506820e44cd435ffbfa383b34473f69fb796594b84","schema_version":"1.0","event_id":"sha256:f449e5483465766c418e27506820e44cd435ffbfa383b34473f69fb796594b84"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:VJOSOK3Y55RYZUEXYA5YRJZWMM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Bayes and empirical-Bayes multiplicity adjustment in the variable-selection problem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"James G. Scott, James O. Berger","submitted_at":"2010-11-10T10:27:54Z","abstract_excerpt":"This paper studies the multiplicity-correction effect of standard Bayesian variable-selection priors in linear regression. Our first goal is to clarify when, and how, multiplicity correction happens automatically in Bayesian analysis, and to distinguish this correction from the Bayesian Ockham's-razor effect. Our second goal is to contrast empirical-Bayes and fully Bayesian approaches to variable selection through examples, theoretical results and simulations. Considerable differences between the two approaches are found. In particular, we prove a theorem that characterizes a surprising aympto"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1011.2333","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:36:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eRIofeevoc0ME8GXVVaTFiE/Dpj4Fy5uRpYTVGaCAPRxpNUSMlhbyzTyrn0Lvw1K3pIkh3cRgBoOusAqILwFAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T20:52:45.614517Z"},"content_sha256":"9ecff34c01728a79a89b890ed0b690a327bd61a75cdc886f253786ab5389f130","schema_version":"1.0","event_id":"sha256:9ecff34c01728a79a89b890ed0b690a327bd61a75cdc886f253786ab5389f130"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VJOSOK3Y55RYZUEXYA5YRJZWMM/bundle.json","state_url":"https://pith.science/pith/VJOSOK3Y55RYZUEXYA5YRJZWMM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VJOSOK3Y55RYZUEXYA5YRJZWMM/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-27T20:52:45Z","links":{"resolver":"https://pith.science/pith/VJOSOK3Y55RYZUEXYA5YRJZWMM","bundle":"https://pith.science/pith/VJOSOK3Y55RYZUEXYA5YRJZWMM/bundle.json","state":"https://pith.science/pith/VJOSOK3Y55RYZUEXYA5YRJZWMM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VJOSOK3Y55RYZUEXYA5YRJZWMM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:VJOSOK3Y55RYZUEXYA5YRJZWMM","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":"54ea6d852df81800d336aa0e21ed3aa314d362089f2df013b3c3e30653ffaf6f","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2010-11-10T10:27:54Z","title_canon_sha256":"632495c31394fe83f416e01686b4c37d14b8a2b32f20f2cde1861c4d6071b961"},"schema_version":"1.0","source":{"id":"1011.2333","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1011.2333","created_at":"2026-05-18T04:36:30Z"},{"alias_kind":"arxiv_version","alias_value":"1011.2333v1","created_at":"2026-05-18T04:36:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1011.2333","created_at":"2026-05-18T04:36:30Z"},{"alias_kind":"pith_short_12","alias_value":"VJOSOK3Y55RY","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_16","alias_value":"VJOSOK3Y55RYZUEX","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_8","alias_value":"VJOSOK3Y","created_at":"2026-05-18T12:26:15Z"}],"graph_snapshots":[{"event_id":"sha256:9ecff34c01728a79a89b890ed0b690a327bd61a75cdc886f253786ab5389f130","target":"graph","created_at":"2026-05-18T04:36:30Z","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":"This paper studies the multiplicity-correction effect of standard Bayesian variable-selection priors in linear regression. Our first goal is to clarify when, and how, multiplicity correction happens automatically in Bayesian analysis, and to distinguish this correction from the Bayesian Ockham's-razor effect. Our second goal is to contrast empirical-Bayes and fully Bayesian approaches to variable selection through examples, theoretical results and simulations. Considerable differences between the two approaches are found. In particular, we prove a theorem that characterizes a surprising aympto","authors_text":"James G. Scott, James O. Berger","cross_cats":["stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2010-11-10T10:27:54Z","title":"Bayes and empirical-Bayes multiplicity adjustment in the variable-selection problem"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1011.2333","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:f449e5483465766c418e27506820e44cd435ffbfa383b34473f69fb796594b84","target":"record","created_at":"2026-05-18T04:36:30Z","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":"54ea6d852df81800d336aa0e21ed3aa314d362089f2df013b3c3e30653ffaf6f","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2010-11-10T10:27:54Z","title_canon_sha256":"632495c31394fe83f416e01686b4c37d14b8a2b32f20f2cde1861c4d6071b961"},"schema_version":"1.0","source":{"id":"1011.2333","kind":"arxiv","version":1}},"canonical_sha256":"aa5d272b78ef638cd097c03b88a7366305459d331569e6040b2b4e4bf026a9f2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"aa5d272b78ef638cd097c03b88a7366305459d331569e6040b2b4e4bf026a9f2","first_computed_at":"2026-05-18T04:36:30.522925Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:36:30.522925Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"uibtvXF8i5duhLNiOR5nFzHrUOIUh4UnVmGpPCK+oAK/Yyz1x0TW1kpujOc3q3eLcNGsmvWyuN5r1eCzEYyGAw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:36:30.523399Z","signed_message":"canonical_sha256_bytes"},"source_id":"1011.2333","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f449e5483465766c418e27506820e44cd435ffbfa383b34473f69fb796594b84","sha256:9ecff34c01728a79a89b890ed0b690a327bd61a75cdc886f253786ab5389f130"],"state_sha256":"ee32388a2a437ec9437d10e83cb8ea6fdb01e0c39c5e51a5259f040f29e72e8a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IG9vZaXAxN8DOo87eefZakfgdl47FS56ZM/1Nrm38gAoqpkX5EZqdMxucEAk/fH4s8mc0r3DDfh0elDd1tVnCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-27T20:52:45.616345Z","bundle_sha256":"ee91d2ed9e001fdd7c50dc065a0f2032d4c705af29001be1c51f01764436bd6e"}}