{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:AFHCF2ND2CWNDZTJLLJOII5SZL","short_pith_number":"pith:AFHCF2ND","canonical_record":{"source":{"id":"0903.4454","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2009-03-26T19:06:09Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"bd4395f672fe3989cd5a1770a62b6ebd6f3bbd2f459c0a1faf5c080e337b6005","abstract_canon_sha256":"c0a18df2a3cc0c2520418324de2ea67443dabb85f16ac9d9496dfd30cc0f5180"},"schema_version":"1.0"},"canonical_sha256":"014e22e9a3d0acd1e6695ad2e423b2caff259f7775441569d42268ab50050a5c","source":{"kind":"arxiv","id":"0903.4454","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0903.4454","created_at":"2026-05-18T04:32:53Z"},{"alias_kind":"arxiv_version","alias_value":"0903.4454v3","created_at":"2026-05-18T04:32:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0903.4454","created_at":"2026-05-18T04:32:53Z"},{"alias_kind":"pith_short_12","alias_value":"AFHCF2ND2CWN","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"AFHCF2ND2CWNDZTJ","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"AFHCF2ND","created_at":"2026-05-18T12:25:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:AFHCF2ND2CWNDZTJLLJOII5SZL","target":"record","payload":{"canonical_record":{"source":{"id":"0903.4454","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2009-03-26T19:06:09Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"bd4395f672fe3989cd5a1770a62b6ebd6f3bbd2f459c0a1faf5c080e337b6005","abstract_canon_sha256":"c0a18df2a3cc0c2520418324de2ea67443dabb85f16ac9d9496dfd30cc0f5180"},"schema_version":"1.0"},"canonical_sha256":"014e22e9a3d0acd1e6695ad2e423b2caff259f7775441569d42268ab50050a5c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:32:53.577400Z","signature_b64":"nxsPNZqnEsV1zh1Pg5uNKdO+VgFxPo82qlL8aKcZ8g4xsc4YFGVOQZIMEvc2oUe7TMJxa6E9TpuBJcZZQRkFDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"014e22e9a3d0acd1e6695ad2e423b2caff259f7775441569d42268ab50050a5c","last_reissued_at":"2026-05-18T04:32:53.577016Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:32:53.577016Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0903.4454","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:32:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1mr7U7iuQAmOeI4paD1YtFZF11mCMcCM0C6uCONw2V4EoyBOQUyBlUDZVDlDov6yaWY+/UJSNnGovj+I3yEVAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T01:50:07.406999Z"},"content_sha256":"b513f9ea61ac06c496a1dffaa73b50e5a1c473b7266cce2cba3151fdf32abf18","schema_version":"1.0","event_id":"sha256:b513f9ea61ac06c496a1dffaa73b50e5a1c473b7266cce2cba3151fdf32abf18"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:AFHCF2ND2CWNDZTJLLJOII5SZL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Local hidden variable modelling, classicality, quantum separability, and the original Bell inequality","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"Elena R. Loubenets","submitted_at":"2009-03-26T19:06:09Z","abstract_excerpt":"We introduce a general condition sufficient for the validity of the original Bell inequality (1964) in a local hidden variable (LHV) frame. This condition can be checked experimentally and incorporates only as a particular case the assumption on perfect correlations or anticorrelations usually argued for this inequality in the literature. Specifying this general condition for a quantum bipartite case, we introduce the whole class of bipartite quantum states, separable and nonseparable, that (i) admit an LHV description under any bipartite measurements with two settings per site; (ii) do not ne"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0903.4454","kind":"arxiv","version":3},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:32:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WsQvC/39UKfdayWgUjuHCV6veGE3rYH4a0KstWx1L/ASrOdy4Hr6+ZTdYEMMUEuYoshhI6F2zHd5jttLncuACw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T01:50:07.407689Z"},"content_sha256":"20c54ec0c0799e9f64b0d7540bf4783dc467d2d2beed9d0c0a7549bc32680a0c","schema_version":"1.0","event_id":"sha256:20c54ec0c0799e9f64b0d7540bf4783dc467d2d2beed9d0c0a7549bc32680a0c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/AFHCF2ND2CWNDZTJLLJOII5SZL/bundle.json","state_url":"https://pith.science/pith/AFHCF2ND2CWNDZTJLLJOII5SZL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/AFHCF2ND2CWNDZTJLLJOII5SZL/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":"2026-06-09T01:50:07Z","links":{"resolver":"https://pith.science/pith/AFHCF2ND2CWNDZTJLLJOII5SZL","bundle":"https://pith.science/pith/AFHCF2ND2CWNDZTJLLJOII5SZL/bundle.json","state":"https://pith.science/pith/AFHCF2ND2CWNDZTJLLJOII5SZL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/AFHCF2ND2CWNDZTJLLJOII5SZL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:AFHCF2ND2CWNDZTJLLJOII5SZL","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":"c0a18df2a3cc0c2520418324de2ea67443dabb85f16ac9d9496dfd30cc0f5180","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2009-03-26T19:06:09Z","title_canon_sha256":"bd4395f672fe3989cd5a1770a62b6ebd6f3bbd2f459c0a1faf5c080e337b6005"},"schema_version":"1.0","source":{"id":"0903.4454","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0903.4454","created_at":"2026-05-18T04:32:53Z"},{"alias_kind":"arxiv_version","alias_value":"0903.4454v3","created_at":"2026-05-18T04:32:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0903.4454","created_at":"2026-05-18T04:32:53Z"},{"alias_kind":"pith_short_12","alias_value":"AFHCF2ND2CWN","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"AFHCF2ND2CWNDZTJ","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"AFHCF2ND","created_at":"2026-05-18T12:25:58Z"}],"graph_snapshots":[{"event_id":"sha256:20c54ec0c0799e9f64b0d7540bf4783dc467d2d2beed9d0c0a7549bc32680a0c","target":"graph","created_at":"2026-05-18T04:32:53Z","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 introduce a general condition sufficient for the validity of the original Bell inequality (1964) in a local hidden variable (LHV) frame. This condition can be checked experimentally and incorporates only as a particular case the assumption on perfect correlations or anticorrelations usually argued for this inequality in the literature. Specifying this general condition for a quantum bipartite case, we introduce the whole class of bipartite quantum states, separable and nonseparable, that (i) admit an LHV description under any bipartite measurements with two settings per site; (ii) do not ne","authors_text":"Elena R. Loubenets","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2009-03-26T19:06:09Z","title":"Local hidden variable modelling, classicality, quantum separability, and the original Bell inequality"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0903.4454","kind":"arxiv","version":3},"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:b513f9ea61ac06c496a1dffaa73b50e5a1c473b7266cce2cba3151fdf32abf18","target":"record","created_at":"2026-05-18T04:32:53Z","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":"c0a18df2a3cc0c2520418324de2ea67443dabb85f16ac9d9496dfd30cc0f5180","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2009-03-26T19:06:09Z","title_canon_sha256":"bd4395f672fe3989cd5a1770a62b6ebd6f3bbd2f459c0a1faf5c080e337b6005"},"schema_version":"1.0","source":{"id":"0903.4454","kind":"arxiv","version":3}},"canonical_sha256":"014e22e9a3d0acd1e6695ad2e423b2caff259f7775441569d42268ab50050a5c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"014e22e9a3d0acd1e6695ad2e423b2caff259f7775441569d42268ab50050a5c","first_computed_at":"2026-05-18T04:32:53.577016Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:32:53.577016Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nxsPNZqnEsV1zh1Pg5uNKdO+VgFxPo82qlL8aKcZ8g4xsc4YFGVOQZIMEvc2oUe7TMJxa6E9TpuBJcZZQRkFDw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:32:53.577400Z","signed_message":"canonical_sha256_bytes"},"source_id":"0903.4454","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b513f9ea61ac06c496a1dffaa73b50e5a1c473b7266cce2cba3151fdf32abf18","sha256:20c54ec0c0799e9f64b0d7540bf4783dc467d2d2beed9d0c0a7549bc32680a0c"],"state_sha256":"0dfd599c2b0ebadf27801e42102fb730416b10bedfcfae3b5f8c74fae4f5504c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MqV9nrjFhHxd3OQQIXjbFjkyCqV3xWyY3eUkFr/oK106s60PUXmKk0Rt3g1FVU2UTZdXa8OqEh7CbqvRWOWRBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T01:50:07.412128Z","bundle_sha256":"e7782cde7bb96b90e7879bfc4ebeeb4a6df9bbfab707e00838263cb13ce28503"}}