{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:M54E74FBVLVQH57CZ555DAD2OL","short_pith_number":"pith:M54E74FB","schema_version":"1.0","canonical_sha256":"67784ff0a1aaeb03f7e2cf7bd1807a72cc2bbd528f6859bb9d74267e8883c518","source":{"kind":"arxiv","id":"1705.08128","version":1},"attestation_state":"computed","paper":{"title":"Quantum probability updating from zero prior (by-passing Cromwell's rule)","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"q-bio.NC","authors_text":"Andrei Khrennikov, Emmanuel Pothos, Irina Basieva, Jennifer Trueblood, Jerome Busemeyer","submitted_at":"2017-05-23T08:45:35Z","abstract_excerpt":"Cromwell's rule (also known as the zero priors paradox) refers to the constraint of classical probability theory that if one assigns a prior probability of 0 or 1 to a hypothesis, then the posterior has to be 0 or 1 as well (this is a straightforward implication of how Bayes's rule works). Relatedly, hypotheses with a very low prior cannot be updated to have a very high posterior without a tremendous amount of new evidence to support them (or to make other possibilities highly improbable). Cromwell's rule appears at odds with our intuition of how humans update probabilities. In this work, we r"},"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":"1705.08128","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.NC","submitted_at":"2017-05-23T08:45:35Z","cross_cats_sorted":[],"title_canon_sha256":"7a8e309c5f644b1bf42e64995b7753d7a39e96bab83a6634cd582f976b1bf0c6","abstract_canon_sha256":"adef5bb863a9102f8193fe2778c3b4287a8d44adc662ffd652c83f569f3d57e4"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:08:55.299983Z","signature_b64":"GkQtovYw1oc0Ed7FXptBuBb4bra4GAVd2m2qUw5vYso8zR1DAd84ll93ZTRql08/ly7VXrUJJS4sOK1MPNXGAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"67784ff0a1aaeb03f7e2cf7bd1807a72cc2bbd528f6859bb9d74267e8883c518","last_reissued_at":"2026-05-18T00:08:55.299491Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:08:55.299491Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Quantum probability updating from zero prior (by-passing Cromwell's rule)","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"q-bio.NC","authors_text":"Andrei Khrennikov, Emmanuel Pothos, Irina Basieva, Jennifer Trueblood, Jerome Busemeyer","submitted_at":"2017-05-23T08:45:35Z","abstract_excerpt":"Cromwell's rule (also known as the zero priors paradox) refers to the constraint of classical probability theory that if one assigns a prior probability of 0 or 1 to a hypothesis, then the posterior has to be 0 or 1 as well (this is a straightforward implication of how Bayes's rule works). Relatedly, hypotheses with a very low prior cannot be updated to have a very high posterior without a tremendous amount of new evidence to support them (or to make other possibilities highly improbable). Cromwell's rule appears at odds with our intuition of how humans update probabilities. In this work, we r"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.08128","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":"1705.08128","created_at":"2026-05-18T00:08:55.299574+00:00"},{"alias_kind":"arxiv_version","alias_value":"1705.08128v1","created_at":"2026-05-18T00:08:55.299574+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.08128","created_at":"2026-05-18T00:08:55.299574+00:00"},{"alias_kind":"pith_short_12","alias_value":"M54E74FBVLVQ","created_at":"2026-05-18T12:31:28.150371+00:00"},{"alias_kind":"pith_short_16","alias_value":"M54E74FBVLVQH57C","created_at":"2026-05-18T12:31:28.150371+00:00"},{"alias_kind":"pith_short_8","alias_value":"M54E74FB","created_at":"2026-05-18T12:31:28.150371+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/M54E74FBVLVQH57CZ555DAD2OL","json":"https://pith.science/pith/M54E74FBVLVQH57CZ555DAD2OL.json","graph_json":"https://pith.science/api/pith-number/M54E74FBVLVQH57CZ555DAD2OL/graph.json","events_json":"https://pith.science/api/pith-number/M54E74FBVLVQH57CZ555DAD2OL/events.json","paper":"https://pith.science/paper/M54E74FB"},"agent_actions":{"view_html":"https://pith.science/pith/M54E74FBVLVQH57CZ555DAD2OL","download_json":"https://pith.science/pith/M54E74FBVLVQH57CZ555DAD2OL.json","view_paper":"https://pith.science/paper/M54E74FB","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1705.08128&json=true","fetch_graph":"https://pith.science/api/pith-number/M54E74FBVLVQH57CZ555DAD2OL/graph.json","fetch_events":"https://pith.science/api/pith-number/M54E74FBVLVQH57CZ555DAD2OL/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/M54E74FBVLVQH57CZ555DAD2OL/action/timestamp_anchor","attest_storage":"https://pith.science/pith/M54E74FBVLVQH57CZ555DAD2OL/action/storage_attestation","attest_author":"https://pith.science/pith/M54E74FBVLVQH57CZ555DAD2OL/action/author_attestation","sign_citation":"https://pith.science/pith/M54E74FBVLVQH57CZ555DAD2OL/action/citation_signature","submit_replication":"https://pith.science/pith/M54E74FBVLVQH57CZ555DAD2OL/action/replication_record"}},"created_at":"2026-05-18T00:08:55.299574+00:00","updated_at":"2026-05-18T00:08:55.299574+00:00"}