{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:KJ6FB25FVSAFMM445X73XCBD7E","short_pith_number":"pith:KJ6FB25F","schema_version":"1.0","canonical_sha256":"527c50eba5ac8056339cedffbb8823f9023d3535cebb0194e73e59f40d0f60af","source":{"kind":"arxiv","id":"1907.05583","version":1},"attestation_state":"computed","paper":{"title":"Can Bayes Factors \"Prove\" the Null Hypothesis?","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"stat.ME","authors_text":"Michael Smithson","submitted_at":"2019-07-12T05:47:39Z","abstract_excerpt":"It is possible to obtain a large Bayes Factor (BF) favoring the null hypothesis when both the null and alternative hypotheses have low likelihoods, and there are other hypotheses being ignored that are much more strongly supported by the data. As sample sizes become large it becomes increasingly probable that a strong BF favouring a point null against a conventional Bayesian vague alternative co-occurs with a BF favouring various specific alternatives against the null. For any BF threshold q and sample mean, there is a value n such that sample sizes larger than n guarantee that although the BF"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1907.05583","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2019-07-12T05:47:39Z","cross_cats_sorted":[],"title_canon_sha256":"f4416e6630b06650dbf3f4d1b52ae77737679d5fc60019cb38d4237487361e70","abstract_canon_sha256":"8a675179abd03c57c472f82be84813cceddf31da4b453bcbff5f076df6bb8c17"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:40:47.813397Z","signature_b64":"qOcT9kh58bMftBu0/cdcFyCyschpX7LWEiXq5g/ugnub4EQ+Eds+Fvt0R3gHKNWDcQXAlE3gbYuIXMjSU0N9Cw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"527c50eba5ac8056339cedffbb8823f9023d3535cebb0194e73e59f40d0f60af","last_reissued_at":"2026-05-17T23:40:47.812703Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:40:47.812703Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Can Bayes Factors \"Prove\" the Null Hypothesis?","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"stat.ME","authors_text":"Michael Smithson","submitted_at":"2019-07-12T05:47:39Z","abstract_excerpt":"It is possible to obtain a large Bayes Factor (BF) favoring the null hypothesis when both the null and alternative hypotheses have low likelihoods, and there are other hypotheses being ignored that are much more strongly supported by the data. As sample sizes become large it becomes increasingly probable that a strong BF favouring a point null against a conventional Bayesian vague alternative co-occurs with a BF favouring various specific alternatives against the null. For any BF threshold q and sample mean, there is a value n such that sample sizes larger than n guarantee that although the BF"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1907.05583","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1907.05583","created_at":"2026-05-17T23:40:47.812803+00:00"},{"alias_kind":"arxiv_version","alias_value":"1907.05583v1","created_at":"2026-05-17T23:40:47.812803+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1907.05583","created_at":"2026-05-17T23:40:47.812803+00:00"},{"alias_kind":"pith_short_12","alias_value":"KJ6FB25FVSAF","created_at":"2026-05-18T12:33:21.387695+00:00"},{"alias_kind":"pith_short_16","alias_value":"KJ6FB25FVSAFMM44","created_at":"2026-05-18T12:33:21.387695+00:00"},{"alias_kind":"pith_short_8","alias_value":"KJ6FB25F","created_at":"2026-05-18T12:33:21.387695+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/KJ6FB25FVSAFMM445X73XCBD7E","json":"https://pith.science/pith/KJ6FB25FVSAFMM445X73XCBD7E.json","graph_json":"https://pith.science/api/pith-number/KJ6FB25FVSAFMM445X73XCBD7E/graph.json","events_json":"https://pith.science/api/pith-number/KJ6FB25FVSAFMM445X73XCBD7E/events.json","paper":"https://pith.science/paper/KJ6FB25F"},"agent_actions":{"view_html":"https://pith.science/pith/KJ6FB25FVSAFMM445X73XCBD7E","download_json":"https://pith.science/pith/KJ6FB25FVSAFMM445X73XCBD7E.json","view_paper":"https://pith.science/paper/KJ6FB25F","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1907.05583&json=true","fetch_graph":"https://pith.science/api/pith-number/KJ6FB25FVSAFMM445X73XCBD7E/graph.json","fetch_events":"https://pith.science/api/pith-number/KJ6FB25FVSAFMM445X73XCBD7E/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/KJ6FB25FVSAFMM445X73XCBD7E/action/timestamp_anchor","attest_storage":"https://pith.science/pith/KJ6FB25FVSAFMM445X73XCBD7E/action/storage_attestation","attest_author":"https://pith.science/pith/KJ6FB25FVSAFMM445X73XCBD7E/action/author_attestation","sign_citation":"https://pith.science/pith/KJ6FB25FVSAFMM445X73XCBD7E/action/citation_signature","submit_replication":"https://pith.science/pith/KJ6FB25FVSAFMM445X73XCBD7E/action/replication_record"}},"created_at":"2026-05-17T23:40:47.812803+00:00","updated_at":"2026-05-17T23:40:47.812803+00:00"}