{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:VNBUE5NSOQLYSHD63OT6URA7YD","short_pith_number":"pith:VNBUE5NS","canonical_record":{"source":{"id":"2207.06784","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.data-an","submitted_at":"2022-07-14T09:47:53Z","cross_cats_sorted":["astro-ph.EP"],"title_canon_sha256":"04ae5b7842853826794298a4a0ef8a8ceeaa642110895b887202a534c330a4a6","abstract_canon_sha256":"0a0cc40c0d33fd77b2b09f78e5cedf4aaf808e3490d99179caddefa6d0968698"},"schema_version":"1.0"},"canonical_sha256":"ab434275b27417891c7edba7ea441fc0c799432af363ea2fa74347c6d6156f8b","source":{"kind":"arxiv","id":"2207.06784","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2207.06784","created_at":"2026-07-05T05:03:03Z"},{"alias_kind":"arxiv_version","alias_value":"2207.06784v1","created_at":"2026-07-05T05:03:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2207.06784","created_at":"2026-07-05T05:03:03Z"},{"alias_kind":"pith_short_12","alias_value":"VNBUE5NSOQLY","created_at":"2026-07-05T05:03:03Z"},{"alias_kind":"pith_short_16","alias_value":"VNBUE5NSOQLYSHD6","created_at":"2026-07-05T05:03:03Z"},{"alias_kind":"pith_short_8","alias_value":"VNBUE5NS","created_at":"2026-07-05T05:03:03Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:VNBUE5NSOQLYSHD63OT6URA7YD","target":"record","payload":{"canonical_record":{"source":{"id":"2207.06784","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.data-an","submitted_at":"2022-07-14T09:47:53Z","cross_cats_sorted":["astro-ph.EP"],"title_canon_sha256":"04ae5b7842853826794298a4a0ef8a8ceeaa642110895b887202a534c330a4a6","abstract_canon_sha256":"0a0cc40c0d33fd77b2b09f78e5cedf4aaf808e3490d99179caddefa6d0968698"},"schema_version":"1.0"},"canonical_sha256":"ab434275b27417891c7edba7ea441fc0c799432af363ea2fa74347c6d6156f8b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:03:03.506419Z","signature_b64":"e9ZKFceqH/6OPwp+vmM5xp2jT5YJS0Z+uJp+16YVNyRKtqQ5i4quUOMJo1Ols619/gh5uil9dwqrWNaucWYoCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ab434275b27417891c7edba7ea441fc0c799432af363ea2fa74347c6d6156f8b","last_reissued_at":"2026-07-05T05:03:03.505936Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:03:03.505936Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2207.06784","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":"2026-07-05T05:03:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4j7biTWb/YTI/USMiM2Tx+w8dI2IAnJLf0Vrnl9ZJjPtakXgOGzkuMq1fBsB5mjKF+my+LDFJhCruLPhgwtgBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-22T06:01:23.850468Z"},"content_sha256":"257b1dcc36216d78c0a5ecbdf3ea1bbba0383143167e9993c836c591eb9284bf","schema_version":"1.0","event_id":"sha256:257b1dcc36216d78c0a5ecbdf3ea1bbba0383143167e9993c836c591eb9284bf"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:VNBUE5NSOQLYSHD63OT6URA7YD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Statistical significance testing for mixed priors: a combined Bayesian and frequentist analysis","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["astro-ph.EP"],"primary_cat":"physics.data-an","authors_text":"Jakob Robnik, Uro\\v{s} Seljak","submitted_at":"2022-07-14T09:47:53Z","abstract_excerpt":"In many hypothesis testing applications, we have mixed priors, with well-motivated informative priors for some parameters but not for others. The Bayesian methodology uses the Bayes factor and is helpful for the informative priors, as it incorporates Occam's razor via multiplicity or trials factor in the Look Elsewhere Effect. However, if the prior is not known completely, the frequentist hypothesis test via the false positive rate is a better approach, as it is less sensitive to the prior choice. We argue that when only partial prior information is available, it is best to combine the two met"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2207.06784","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2207.06784/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":"2026-07-05T05:03:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QtiqJsKdwjcy/vdFeiyZ2HBwdfqEZ+/sXdxCWQ7GTS+aLmObTkGqCsE0ddz9n0dxXWXgW+P4oLLnuX/KMT7eCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-22T06:01:23.850894Z"},"content_sha256":"2da4a6235bcf6f7bb1c201922638d87359ac07b3441356b17d8a5562479274de","schema_version":"1.0","event_id":"sha256:2da4a6235bcf6f7bb1c201922638d87359ac07b3441356b17d8a5562479274de"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VNBUE5NSOQLYSHD63OT6URA7YD/bundle.json","state_url":"https://pith.science/pith/VNBUE5NSOQLYSHD63OT6URA7YD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VNBUE5NSOQLYSHD63OT6URA7YD/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":"2026-08-22T06:01:23Z","links":{"resolver":"https://pith.science/pith/VNBUE5NSOQLYSHD63OT6URA7YD","bundle":"https://pith.science/pith/VNBUE5NSOQLYSHD63OT6URA7YD/bundle.json","state":"https://pith.science/pith/VNBUE5NSOQLYSHD63OT6URA7YD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VNBUE5NSOQLYSHD63OT6URA7YD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:VNBUE5NSOQLYSHD63OT6URA7YD","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":"0a0cc40c0d33fd77b2b09f78e5cedf4aaf808e3490d99179caddefa6d0968698","cross_cats_sorted":["astro-ph.EP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.data-an","submitted_at":"2022-07-14T09:47:53Z","title_canon_sha256":"04ae5b7842853826794298a4a0ef8a8ceeaa642110895b887202a534c330a4a6"},"schema_version":"1.0","source":{"id":"2207.06784","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2207.06784","created_at":"2026-07-05T05:03:03Z"},{"alias_kind":"arxiv_version","alias_value":"2207.06784v1","created_at":"2026-07-05T05:03:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2207.06784","created_at":"2026-07-05T05:03:03Z"},{"alias_kind":"pith_short_12","alias_value":"VNBUE5NSOQLY","created_at":"2026-07-05T05:03:03Z"},{"alias_kind":"pith_short_16","alias_value":"VNBUE5NSOQLYSHD6","created_at":"2026-07-05T05:03:03Z"},{"alias_kind":"pith_short_8","alias_value":"VNBUE5NS","created_at":"2026-07-05T05:03:03Z"}],"graph_snapshots":[{"event_id":"sha256:2da4a6235bcf6f7bb1c201922638d87359ac07b3441356b17d8a5562479274de","target":"graph","created_at":"2026-07-05T05:03:03Z","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/2207.06784/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In many hypothesis testing applications, we have mixed priors, with well-motivated informative priors for some parameters but not for others. The Bayesian methodology uses the Bayes factor and is helpful for the informative priors, as it incorporates Occam's razor via multiplicity or trials factor in the Look Elsewhere Effect. However, if the prior is not known completely, the frequentist hypothesis test via the false positive rate is a better approach, as it is less sensitive to the prior choice. We argue that when only partial prior information is available, it is best to combine the two met","authors_text":"Jakob Robnik, Uro\\v{s} Seljak","cross_cats":["astro-ph.EP"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.data-an","submitted_at":"2022-07-14T09:47:53Z","title":"Statistical significance testing for mixed priors: a combined Bayesian and frequentist analysis"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2207.06784","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":"sha256:257b1dcc36216d78c0a5ecbdf3ea1bbba0383143167e9993c836c591eb9284bf","target":"record","created_at":"2026-07-05T05:03:03Z","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":"0a0cc40c0d33fd77b2b09f78e5cedf4aaf808e3490d99179caddefa6d0968698","cross_cats_sorted":["astro-ph.EP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.data-an","submitted_at":"2022-07-14T09:47:53Z","title_canon_sha256":"04ae5b7842853826794298a4a0ef8a8ceeaa642110895b887202a534c330a4a6"},"schema_version":"1.0","source":{"id":"2207.06784","kind":"arxiv","version":1}},"canonical_sha256":"ab434275b27417891c7edba7ea441fc0c799432af363ea2fa74347c6d6156f8b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ab434275b27417891c7edba7ea441fc0c799432af363ea2fa74347c6d6156f8b","first_computed_at":"2026-07-05T05:03:03.505936Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:03:03.505936Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"e9ZKFceqH/6OPwp+vmM5xp2jT5YJS0Z+uJp+16YVNyRKtqQ5i4quUOMJo1Ols619/gh5uil9dwqrWNaucWYoCg==","signature_status":"signed_v1","signed_at":"2026-07-05T05:03:03.506419Z","signed_message":"canonical_sha256_bytes"},"source_id":"2207.06784","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:257b1dcc36216d78c0a5ecbdf3ea1bbba0383143167e9993c836c591eb9284bf","sha256:2da4a6235bcf6f7bb1c201922638d87359ac07b3441356b17d8a5562479274de"],"state_sha256":"56241ae09aa059d8841788c4c1c7246089b3b82be98d53a7d1f52ca6c2c21f1a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yep7xnxg5HZ8YfW3UdSqaQrMF81y7tzxYFWFT8mY+iWTVusbsQ2+cQQdYhNQ4McgbocoYXcyB62ZGIt9RYlGBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-22T06:01:23.853531Z","bundle_sha256":"f77cf6f54978328c4515c3aa01f2a669b947fbbdcdc02a1c6fb8ddbf40b7bb20"}}