{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2020:OH6AIAF5IVD23FPS3RZGBKNFZS","short_pith_number":"pith:OH6AIAF5","canonical_record":{"source":{"id":"2004.03448","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"econ.EM","submitted_at":"2020-04-07T14:54:04Z","cross_cats_sorted":["stat.ME"],"title_canon_sha256":"37bac3fd97c2e350c97be792b68c539b2944d05a7e466cce59324e2a429975b6","abstract_canon_sha256":"0efd0517ff59b59c95daf9a4aac2d2fdd5cacb3a9648e350d5fe72be23bf0fe6"},"schema_version":"1.0"},"canonical_sha256":"71fc0400bd4547ad95f2dc7260a9a5ccb66e5a7716e86b8df966faabdb657028","source":{"kind":"arxiv","id":"2004.03448","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2004.03448","created_at":"2026-07-05T05:17:22Z"},{"alias_kind":"arxiv_version","alias_value":"2004.03448v4","created_at":"2026-07-05T05:17:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2004.03448","created_at":"2026-07-05T05:17:22Z"},{"alias_kind":"pith_short_12","alias_value":"OH6AIAF5IVD2","created_at":"2026-07-05T05:17:22Z"},{"alias_kind":"pith_short_16","alias_value":"OH6AIAF5IVD23FPS","created_at":"2026-07-05T05:17:22Z"},{"alias_kind":"pith_short_8","alias_value":"OH6AIAF5","created_at":"2026-07-05T05:17:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2020:OH6AIAF5IVD23FPS3RZGBKNFZS","target":"record","payload":{"canonical_record":{"source":{"id":"2004.03448","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"econ.EM","submitted_at":"2020-04-07T14:54:04Z","cross_cats_sorted":["stat.ME"],"title_canon_sha256":"37bac3fd97c2e350c97be792b68c539b2944d05a7e466cce59324e2a429975b6","abstract_canon_sha256":"0efd0517ff59b59c95daf9a4aac2d2fdd5cacb3a9648e350d5fe72be23bf0fe6"},"schema_version":"1.0"},"canonical_sha256":"71fc0400bd4547ad95f2dc7260a9a5ccb66e5a7716e86b8df966faabdb657028","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:17:22.809004Z","signature_b64":"iUz1G8lQ8DyKxpoaR3WQzV6VPYu/2wNrhxgDEe/GIkkoJKxZ66s7SQM108appA4mifERZaC8qrWgbIs8tO7YDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"71fc0400bd4547ad95f2dc7260a9a5ccb66e5a7716e86b8df966faabdb657028","last_reissued_at":"2026-07-05T05:17:22.808557Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:17:22.808557Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2004.03448","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T05:17:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"45Hfc/Bvelf6/IyEtrQa9TzXmi1WiFg+OvvBGjr8DVCyX9wZw4thkDcjm3g3RCrnGXdsjAVAmGWULm8cTSxlDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T06:52:55.647139Z"},"content_sha256":"54c761ce85b9ef2de6517cbd3d56492436e04a877a116e45dcf1c660b530ccfc","schema_version":"1.0","event_id":"sha256:54c761ce85b9ef2de6517cbd3d56492436e04a877a116e45dcf1c660b530ccfc"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2020:OH6AIAF5IVD23FPS3RZGBKNFZS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Robust Empirical Bayes Confidence Intervals","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.ME"],"primary_cat":"econ.EM","authors_text":"Michal Koles\\'ar, Mikkel Plagborg-M{\\o}ller, Timothy B. Armstrong","submitted_at":"2020-04-07T14:54:04Z","abstract_excerpt":"We construct robust empirical Bayes confidence intervals (EBCIs) in a normal means problem. The intervals are centered at the usual linear empirical Bayes estimator, but use a critical value accounting for shrinkage. Parametric EBCIs that assume a normal distribution for the means (Morris, 1983b) may substantially undercover when this assumption is violated. In contrast, our EBCIs control coverage regardless of the means distribution, while remaining close in length to the parametric EBCIs when the means are indeed Gaussian. If the means are treated as fixed, our EBCIs have an average coverage"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2004.03448","kind":"arxiv","version":4},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2004.03448/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T05:17:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XAhhcG1DpNwBnhYWugS61jXsrDxYiXVLDxkxqKoIMHPzzvxpJgMLOgx5nfil4xS2g5Lpl6C41fH41tSeRuoICg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T06:52:55.647635Z"},"content_sha256":"f976e5aa65158f44f06fbd149baa2cad89d0be2f6cd3d019790f3fec7afb5c96","schema_version":"1.0","event_id":"sha256:f976e5aa65158f44f06fbd149baa2cad89d0be2f6cd3d019790f3fec7afb5c96"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OH6AIAF5IVD23FPS3RZGBKNFZS/bundle.json","state_url":"https://pith.science/pith/OH6AIAF5IVD23FPS3RZGBKNFZS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OH6AIAF5IVD23FPS3RZGBKNFZS/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":"2026-08-06T06:52:55Z","links":{"resolver":"https://pith.science/pith/OH6AIAF5IVD23FPS3RZGBKNFZS","bundle":"https://pith.science/pith/OH6AIAF5IVD23FPS3RZGBKNFZS/bundle.json","state":"https://pith.science/pith/OH6AIAF5IVD23FPS3RZGBKNFZS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OH6AIAF5IVD23FPS3RZGBKNFZS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:OH6AIAF5IVD23FPS3RZGBKNFZS","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":"0efd0517ff59b59c95daf9a4aac2d2fdd5cacb3a9648e350d5fe72be23bf0fe6","cross_cats_sorted":["stat.ME"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"econ.EM","submitted_at":"2020-04-07T14:54:04Z","title_canon_sha256":"37bac3fd97c2e350c97be792b68c539b2944d05a7e466cce59324e2a429975b6"},"schema_version":"1.0","source":{"id":"2004.03448","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2004.03448","created_at":"2026-07-05T05:17:22Z"},{"alias_kind":"arxiv_version","alias_value":"2004.03448v4","created_at":"2026-07-05T05:17:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2004.03448","created_at":"2026-07-05T05:17:22Z"},{"alias_kind":"pith_short_12","alias_value":"OH6AIAF5IVD2","created_at":"2026-07-05T05:17:22Z"},{"alias_kind":"pith_short_16","alias_value":"OH6AIAF5IVD23FPS","created_at":"2026-07-05T05:17:22Z"},{"alias_kind":"pith_short_8","alias_value":"OH6AIAF5","created_at":"2026-07-05T05:17:22Z"}],"graph_snapshots":[{"event_id":"sha256:f976e5aa65158f44f06fbd149baa2cad89d0be2f6cd3d019790f3fec7afb5c96","target":"graph","created_at":"2026-07-05T05:17:22Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2004.03448/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We construct robust empirical Bayes confidence intervals (EBCIs) in a normal means problem. The intervals are centered at the usual linear empirical Bayes estimator, but use a critical value accounting for shrinkage. Parametric EBCIs that assume a normal distribution for the means (Morris, 1983b) may substantially undercover when this assumption is violated. In contrast, our EBCIs control coverage regardless of the means distribution, while remaining close in length to the parametric EBCIs when the means are indeed Gaussian. If the means are treated as fixed, our EBCIs have an average coverage","authors_text":"Michal Koles\\'ar, Mikkel Plagborg-M{\\o}ller, Timothy B. Armstrong","cross_cats":["stat.ME"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"econ.EM","submitted_at":"2020-04-07T14:54:04Z","title":"Robust Empirical Bayes Confidence Intervals"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2004.03448","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":"sha256:54c761ce85b9ef2de6517cbd3d56492436e04a877a116e45dcf1c660b530ccfc","target":"record","created_at":"2026-07-05T05:17:22Z","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":"0efd0517ff59b59c95daf9a4aac2d2fdd5cacb3a9648e350d5fe72be23bf0fe6","cross_cats_sorted":["stat.ME"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"econ.EM","submitted_at":"2020-04-07T14:54:04Z","title_canon_sha256":"37bac3fd97c2e350c97be792b68c539b2944d05a7e466cce59324e2a429975b6"},"schema_version":"1.0","source":{"id":"2004.03448","kind":"arxiv","version":4}},"canonical_sha256":"71fc0400bd4547ad95f2dc7260a9a5ccb66e5a7716e86b8df966faabdb657028","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"71fc0400bd4547ad95f2dc7260a9a5ccb66e5a7716e86b8df966faabdb657028","first_computed_at":"2026-07-05T05:17:22.808557Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:17:22.808557Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"iUz1G8lQ8DyKxpoaR3WQzV6VPYu/2wNrhxgDEe/GIkkoJKxZ66s7SQM108appA4mifERZaC8qrWgbIs8tO7YDQ==","signature_status":"signed_v1","signed_at":"2026-07-05T05:17:22.809004Z","signed_message":"canonical_sha256_bytes"},"source_id":"2004.03448","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:54c761ce85b9ef2de6517cbd3d56492436e04a877a116e45dcf1c660b530ccfc","sha256:f976e5aa65158f44f06fbd149baa2cad89d0be2f6cd3d019790f3fec7afb5c96"],"state_sha256":"0221ff8514f5ab7dfee8b1735a8c57949a527951c9addb6237e5586c5b598c60"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ML+o+usNJFeaVxBsat0u3UDsv3yxyj7iVmFAO/tSXZCNBQL4cb7Kc7mX5VL7CVhpT/hUAbqbvG9pCvnunboBDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-06T06:52:55.651767Z","bundle_sha256":"b3140eafe7a6a58494789fecaa6f87d0414cb435e3b9605a436a91df6562e026"}}