{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2020:IBKXNY2THK2OSEAR2JQ6H2LM2U","short_pith_number":"pith:IBKXNY2T","canonical_record":{"source":{"id":"2009.02824","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2020-09-06T21:50:17Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"5af1da344729b5136cbffce5819bc918eb1f5b07836a5f9edd01d1f2df66d87e","abstract_canon_sha256":"35087b7da59ee1de057c6f1d2ce9a2b59894d27dede77c6e854b96c08fb17dcb"},"schema_version":"1.0"},"canonical_sha256":"405576e3533ab4e91011d261e3e96cd52f695a08b3dcbf522c60452d3753c658","source":{"kind":"arxiv","id":"2009.02824","version":5},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2009.02824","created_at":"2026-07-05T03:41:01Z"},{"alias_kind":"arxiv_version","alias_value":"2009.02824v5","created_at":"2026-07-05T03:41:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2009.02824","created_at":"2026-07-05T03:41:01Z"},{"alias_kind":"pith_short_12","alias_value":"IBKXNY2THK2O","created_at":"2026-07-05T03:41:01Z"},{"alias_kind":"pith_short_16","alias_value":"IBKXNY2THK2OSEAR","created_at":"2026-07-05T03:41:01Z"},{"alias_kind":"pith_short_8","alias_value":"IBKXNY2T","created_at":"2026-07-05T03:41:01Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2020:IBKXNY2THK2OSEAR2JQ6H2LM2U","target":"record","payload":{"canonical_record":{"source":{"id":"2009.02824","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2020-09-06T21:50:17Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"5af1da344729b5136cbffce5819bc918eb1f5b07836a5f9edd01d1f2df66d87e","abstract_canon_sha256":"35087b7da59ee1de057c6f1d2ce9a2b59894d27dede77c6e854b96c08fb17dcb"},"schema_version":"1.0"},"canonical_sha256":"405576e3533ab4e91011d261e3e96cd52f695a08b3dcbf522c60452d3753c658","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:41:01.762665Z","signature_b64":"TvT3USm6ecCdmXcFTnPfDsEpV0Q/pj67d++9gJ0X8SmpokMrDk7mst+OIBci2jHmnHzjEDcvs0nQ07kopK4MCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"405576e3533ab4e91011d261e3e96cd52f695a08b3dcbf522c60452d3753c658","last_reissued_at":"2026-07-05T03:41:01.762115Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:41:01.762115Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2009.02824","source_version":5,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T03:41:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uS85LUI3tM5rzFVA9VsV0Bp0ac74xIGeIRU7ZAYfugx4ER5blQg03q8gMPivArG4/zTkK/AP6nXVn2+9xlQpDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T06:32:23.404350Z"},"content_sha256":"29a42414fcaf94894c822fc064bc7ef6af52c153ab30566a5e529c3102252eae","schema_version":"1.0","event_id":"sha256:29a42414fcaf94894c822fc064bc7ef6af52c153ab30566a5e529c3102252eae"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2020:IBKXNY2THK2OSEAR2JQ6H2LM2U","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"False discovery rate control with e-values","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"Aaditya Ramdas, Ruodu Wang","submitted_at":"2020-09-06T21:50:17Z","abstract_excerpt":"E-values have gained attention as potential alternatives to p-values as measures of uncertainty, significance and evidence. In brief, e-values are realized by random variables with expectation at most one under the null; examples include betting scores, (point null) Bayes factors, likelihood ratios and stopped supermartingales. We design a natural analog of the Benjamini-Hochberg (BH) procedure for false discovery rate (FDR) control that utilizes e-values, called the e-BH procedure, and compare it with the standard procedure for p-values. One of our central results is that, unlike the usual BH"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2009.02824","kind":"arxiv","version":5},"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/2009.02824/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":"2026-07-05T03:41:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nkXTW3duXJbcOkVrCLrXC4n5R6CeI3F1NkOZro6e2pxK9rO+hRdzOFLqbiOAqbpncVyXlA+qcGrq/yC8iiw3Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T06:32:23.405017Z"},"content_sha256":"7a2fc3011b60579d43d14d5a5d9ac3b921180ed668595b0413029715ac5667a1","schema_version":"1.0","event_id":"sha256:7a2fc3011b60579d43d14d5a5d9ac3b921180ed668595b0413029715ac5667a1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IBKXNY2THK2OSEAR2JQ6H2LM2U/bundle.json","state_url":"https://pith.science/pith/IBKXNY2THK2OSEAR2JQ6H2LM2U/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IBKXNY2THK2OSEAR2JQ6H2LM2U/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":"2026-08-11T06:32:23Z","links":{"resolver":"https://pith.science/pith/IBKXNY2THK2OSEAR2JQ6H2LM2U","bundle":"https://pith.science/pith/IBKXNY2THK2OSEAR2JQ6H2LM2U/bundle.json","state":"https://pith.science/pith/IBKXNY2THK2OSEAR2JQ6H2LM2U/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IBKXNY2THK2OSEAR2JQ6H2LM2U/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:IBKXNY2THK2OSEAR2JQ6H2LM2U","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":"35087b7da59ee1de057c6f1d2ce9a2b59894d27dede77c6e854b96c08fb17dcb","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2020-09-06T21:50:17Z","title_canon_sha256":"5af1da344729b5136cbffce5819bc918eb1f5b07836a5f9edd01d1f2df66d87e"},"schema_version":"1.0","source":{"id":"2009.02824","kind":"arxiv","version":5}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2009.02824","created_at":"2026-07-05T03:41:01Z"},{"alias_kind":"arxiv_version","alias_value":"2009.02824v5","created_at":"2026-07-05T03:41:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2009.02824","created_at":"2026-07-05T03:41:01Z"},{"alias_kind":"pith_short_12","alias_value":"IBKXNY2THK2O","created_at":"2026-07-05T03:41:01Z"},{"alias_kind":"pith_short_16","alias_value":"IBKXNY2THK2OSEAR","created_at":"2026-07-05T03:41:01Z"},{"alias_kind":"pith_short_8","alias_value":"IBKXNY2T","created_at":"2026-07-05T03:41:01Z"}],"graph_snapshots":[{"event_id":"sha256:7a2fc3011b60579d43d14d5a5d9ac3b921180ed668595b0413029715ac5667a1","target":"graph","created_at":"2026-07-05T03:41:01Z","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/2009.02824/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"E-values have gained attention as potential alternatives to p-values as measures of uncertainty, significance and evidence. In brief, e-values are realized by random variables with expectation at most one under the null; examples include betting scores, (point null) Bayes factors, likelihood ratios and stopped supermartingales. We design a natural analog of the Benjamini-Hochberg (BH) procedure for false discovery rate (FDR) control that utilizes e-values, called the e-BH procedure, and compare it with the standard procedure for p-values. One of our central results is that, unlike the usual BH","authors_text":"Aaditya Ramdas, Ruodu Wang","cross_cats":["stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2020-09-06T21:50:17Z","title":"False discovery rate control with e-values"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2009.02824","kind":"arxiv","version":5},"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":"sha256:29a42414fcaf94894c822fc064bc7ef6af52c153ab30566a5e529c3102252eae","target":"record","created_at":"2026-07-05T03:41:01Z","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":"35087b7da59ee1de057c6f1d2ce9a2b59894d27dede77c6e854b96c08fb17dcb","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2020-09-06T21:50:17Z","title_canon_sha256":"5af1da344729b5136cbffce5819bc918eb1f5b07836a5f9edd01d1f2df66d87e"},"schema_version":"1.0","source":{"id":"2009.02824","kind":"arxiv","version":5}},"canonical_sha256":"405576e3533ab4e91011d261e3e96cd52f695a08b3dcbf522c60452d3753c658","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"405576e3533ab4e91011d261e3e96cd52f695a08b3dcbf522c60452d3753c658","first_computed_at":"2026-07-05T03:41:01.762115Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:41:01.762115Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"TvT3USm6ecCdmXcFTnPfDsEpV0Q/pj67d++9gJ0X8SmpokMrDk7mst+OIBci2jHmnHzjEDcvs0nQ07kopK4MCg==","signature_status":"signed_v1","signed_at":"2026-07-05T03:41:01.762665Z","signed_message":"canonical_sha256_bytes"},"source_id":"2009.02824","source_kind":"arxiv","source_version":5}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:29a42414fcaf94894c822fc064bc7ef6af52c153ab30566a5e529c3102252eae","sha256:7a2fc3011b60579d43d14d5a5d9ac3b921180ed668595b0413029715ac5667a1"],"state_sha256":"65ca07bead4cf177feb995c7aa52e8d838f6ecf20b0c16e0c304d6939b1838ea"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6Gp7R0VFRfgi2TcRHaBROkm5UheD2jZEwcyfjW5nI8Jbw6Nwx0DqSN/PST/IieAe7i90v56psiTzVdQZCFA3BQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-11T06:32:23.409638Z","bundle_sha256":"c2d355ec1a0a10dcaa77c94e1aa9898c8814da86d372cd351ba292c223cd8250"}}