{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:GCQR46A63PAGW62GC4KUOQD2UQ","short_pith_number":"pith:GCQR46A6","schema_version":"1.0","canonical_sha256":"30a11e781edbc06b7b46171547407aa436ba249b314516ad957fca5bbb4af542","source":{"kind":"arxiv","id":"1210.3270","version":1},"attestation_state":"computed","paper":{"title":"All joint von Neumann measurements on a quantum state admit a quasi-classical probability model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","math.PR"],"primary_cat":"quant-ph","authors_text":"Elena R. Loubenets","submitted_at":"2012-10-11T15:24:31Z","abstract_excerpt":"We prove that the Hilbert space description of all joint von Neumann measurements on a quantum state can be reproduced in terms of a single measure space ({\\Omega}, F, {\\mu}) with a normalized real-valued measure {\\mu}, that is, in terms of a new general probability model, the quasi-classical probability model, developed in [Loubenets: J. Math. Phys. 53 (2012), 022201; J. Phys. A: Math. Theor. 45 (2012), 185306]. In a quasi-classical probability model for all von Neumann measurements, a random variable models the corresponding quantum observable in all joint measurements and depends only on th"},"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":"1210.3270","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-10-11T15:24:31Z","cross_cats_sorted":["math-ph","math.MP","math.PR"],"title_canon_sha256":"25f1b78ab238bb64751015151273764c5a236880adc2bd1f5a587ec8fedf71a7","abstract_canon_sha256":"41493baa41173396aa235777aea85af8422bb5c2d163ce36ddcfded2122e1e30"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:43:27.830908Z","signature_b64":"dsF8+z5HwUwJIlLZLRDzPzOxT3ebuKF3n8Y65OshrnZpcTjhmujAHlLJl9AqAGm0SGamS55+o2PRACHDfagYCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"30a11e781edbc06b7b46171547407aa436ba249b314516ad957fca5bbb4af542","last_reissued_at":"2026-05-18T03:43:27.830399Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:43:27.830399Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"All joint von Neumann measurements on a quantum state admit a quasi-classical probability model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","math.PR"],"primary_cat":"quant-ph","authors_text":"Elena R. Loubenets","submitted_at":"2012-10-11T15:24:31Z","abstract_excerpt":"We prove that the Hilbert space description of all joint von Neumann measurements on a quantum state can be reproduced in terms of a single measure space ({\\Omega}, F, {\\mu}) with a normalized real-valued measure {\\mu}, that is, in terms of a new general probability model, the quasi-classical probability model, developed in [Loubenets: J. Math. Phys. 53 (2012), 022201; J. Phys. A: Math. Theor. 45 (2012), 185306]. In a quasi-classical probability model for all von Neumann measurements, a random variable models the corresponding quantum observable in all joint measurements and depends only on th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1210.3270","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":"1210.3270","created_at":"2026-05-18T03:43:27.830474+00:00"},{"alias_kind":"arxiv_version","alias_value":"1210.3270v1","created_at":"2026-05-18T03:43:27.830474+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1210.3270","created_at":"2026-05-18T03:43:27.830474+00:00"},{"alias_kind":"pith_short_12","alias_value":"GCQR46A63PAG","created_at":"2026-05-18T12:27:06.952714+00:00"},{"alias_kind":"pith_short_16","alias_value":"GCQR46A63PAGW62G","created_at":"2026-05-18T12:27:06.952714+00:00"},{"alias_kind":"pith_short_8","alias_value":"GCQR46A6","created_at":"2026-05-18T12:27:06.952714+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/GCQR46A63PAGW62GC4KUOQD2UQ","json":"https://pith.science/pith/GCQR46A63PAGW62GC4KUOQD2UQ.json","graph_json":"https://pith.science/api/pith-number/GCQR46A63PAGW62GC4KUOQD2UQ/graph.json","events_json":"https://pith.science/api/pith-number/GCQR46A63PAGW62GC4KUOQD2UQ/events.json","paper":"https://pith.science/paper/GCQR46A6"},"agent_actions":{"view_html":"https://pith.science/pith/GCQR46A63PAGW62GC4KUOQD2UQ","download_json":"https://pith.science/pith/GCQR46A63PAGW62GC4KUOQD2UQ.json","view_paper":"https://pith.science/paper/GCQR46A6","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1210.3270&json=true","fetch_graph":"https://pith.science/api/pith-number/GCQR46A63PAGW62GC4KUOQD2UQ/graph.json","fetch_events":"https://pith.science/api/pith-number/GCQR46A63PAGW62GC4KUOQD2UQ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GCQR46A63PAGW62GC4KUOQD2UQ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GCQR46A63PAGW62GC4KUOQD2UQ/action/storage_attestation","attest_author":"https://pith.science/pith/GCQR46A63PAGW62GC4KUOQD2UQ/action/author_attestation","sign_citation":"https://pith.science/pith/GCQR46A63PAGW62GC4KUOQD2UQ/action/citation_signature","submit_replication":"https://pith.science/pith/GCQR46A63PAGW62GC4KUOQD2UQ/action/replication_record"}},"created_at":"2026-05-18T03:43:27.830474+00:00","updated_at":"2026-05-18T03:43:27.830474+00:00"}