{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:633VA53YJ7ENEMVYHCVB5KWT3B","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":"a3c882a29ef131564c1f6cd9371a127284a646999a99663744fdafe9e8003028","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-12-31T01:08:25Z","title_canon_sha256":"ce81789b918339efd9a06f39cfcd10a2dc25a5007c58c51312076c86cb090710"},"schema_version":"1.0","source":{"id":"1401.0064","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1401.0064","created_at":"2026-05-18T03:01:57Z"},{"alias_kind":"arxiv_version","alias_value":"1401.0064v1","created_at":"2026-05-18T03:01:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.0064","created_at":"2026-05-18T03:01:57Z"},{"alias_kind":"pith_short_12","alias_value":"633VA53YJ7EN","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_16","alias_value":"633VA53YJ7ENEMVY","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_8","alias_value":"633VA53Y","created_at":"2026-05-18T12:27:34Z"}],"graph_snapshots":[{"event_id":"sha256:69baad943afca684d688d40942b43704b2921fee46c5867bc88b8be73d7971cd","target":"graph","created_at":"2026-05-18T03:01:57Z","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"},"paper":{"abstract_excerpt":"We re-examine d=4 hidden-variables-models for a system of two spin-$1/2$ particles in view of the concrete model of Hardy, who analyzed the criterion of entanglement without referring to inequality. The basis of our analysis is the linearity of the probability measure related to the Born probability interpretation, which excludes non-contextual hidden-variables models in $d\\geq 3$. To be specific, we note the inconsistency of the non-contextual hidden-variables model in $d=4$ with the linearity of the quantum mechanical probability measure in the sense $\\langle\\psi|{\\bf a}\\cdot {\\bf \\sigma}\\ot","authors_text":"Chengjie Zhang, C.H. Oh, Kazuo Fujikawa","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-12-31T01:08:25Z","title":"Linearity of quantum probability measure and Hardy's model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.0064","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:ddc4e0dd0458d49e83d4d93e8f4fbd5aed087a40672edea3e2339d4ed86ec294","target":"record","created_at":"2026-05-18T03:01:57Z","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":"a3c882a29ef131564c1f6cd9371a127284a646999a99663744fdafe9e8003028","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-12-31T01:08:25Z","title_canon_sha256":"ce81789b918339efd9a06f39cfcd10a2dc25a5007c58c51312076c86cb090710"},"schema_version":"1.0","source":{"id":"1401.0064","kind":"arxiv","version":1}},"canonical_sha256":"f6f75077784fc8d232b838aa1eaad3d865d5cec6a5dbebf8b6fd02c1c6a0a271","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f6f75077784fc8d232b838aa1eaad3d865d5cec6a5dbebf8b6fd02c1c6a0a271","first_computed_at":"2026-05-18T03:01:57.904395Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:01:57.904395Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"uP91XN7A+XkmV6XweUpAA2yCw4zhKbdwNo6qF8T2mxkogdSLu2Wtt9LgBGwLO+ZgOQ21jIc176/eJZlsF1ugDA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:01:57.905309Z","signed_message":"canonical_sha256_bytes"},"source_id":"1401.0064","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ddc4e0dd0458d49e83d4d93e8f4fbd5aed087a40672edea3e2339d4ed86ec294","sha256:69baad943afca684d688d40942b43704b2921fee46c5867bc88b8be73d7971cd"],"state_sha256":"0add3448a42ac66aabd8a39343dd21fc3f44edf013ae145b42f0e1d49b3c9b83"}