{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:K2OG6CE4CICYHHXOIUNMQC2PDO","short_pith_number":"pith:K2OG6CE4","canonical_record":{"source":{"id":"1106.3392","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-06-17T06:33:09Z","cross_cats_sorted":[],"title_canon_sha256":"7b715ee1fc278652cc02db919b2114019033a65ae35ea1834b5e48f59f4ed860","abstract_canon_sha256":"2bf0ea7023ce136420f28efa7e2d02669146fe3b742ef79cbdb81e33441a3671"},"schema_version":"1.0"},"canonical_sha256":"569c6f089c1205839eee451ac80b4f1bb22cfc05a9ebd4891ee5e0cc86c514c6","source":{"kind":"arxiv","id":"1106.3392","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1106.3392","created_at":"2026-05-18T03:57:40Z"},{"alias_kind":"arxiv_version","alias_value":"1106.3392v3","created_at":"2026-05-18T03:57:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1106.3392","created_at":"2026-05-18T03:57:40Z"},{"alias_kind":"pith_short_12","alias_value":"K2OG6CE4CICY","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_16","alias_value":"K2OG6CE4CICYHHXO","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_8","alias_value":"K2OG6CE4","created_at":"2026-05-18T12:26:32Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:K2OG6CE4CICYHHXOIUNMQC2PDO","target":"record","payload":{"canonical_record":{"source":{"id":"1106.3392","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-06-17T06:33:09Z","cross_cats_sorted":[],"title_canon_sha256":"7b715ee1fc278652cc02db919b2114019033a65ae35ea1834b5e48f59f4ed860","abstract_canon_sha256":"2bf0ea7023ce136420f28efa7e2d02669146fe3b742ef79cbdb81e33441a3671"},"schema_version":"1.0"},"canonical_sha256":"569c6f089c1205839eee451ac80b4f1bb22cfc05a9ebd4891ee5e0cc86c514c6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:57:40.623083Z","signature_b64":"Ajf9SFd7WhikQy0xsUZlpCNv0sObwTAWgNMLmJHtRq/8aJr5/iKOGrUNmWiKaapyC+WvsDs8m68g1riHxKk3AQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"569c6f089c1205839eee451ac80b4f1bb22cfc05a9ebd4891ee5e0cc86c514c6","last_reissued_at":"2026-05-18T03:57:40.620689Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:57:40.620689Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1106.3392","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":"2026-05-18T03:57:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XrjkMYRKOVg4+BKP9cmZMahYjIniPBWb1GmRSfQJKhSKgB4pwqblK5aozN13zxiZAuAP3Xu1rIsoJvkw1f/YBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T18:01:46.557251Z"},"content_sha256":"92e65a8c572f345bd56ec91da937f226362cc73da6fa65f7857f13ab0bad6f0c","schema_version":"1.0","event_id":"sha256:92e65a8c572f345bd56ec91da937f226362cc73da6fa65f7857f13ab0bad6f0c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:K2OG6CE4CICYHHXOIUNMQC2PDO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Is the average of the spin-correlation elements the real measure of the entanglement of the two-qubit systems?","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Faisal A. A. El-Orany","submitted_at":"2011-06-17T06:33:09Z","abstract_excerpt":"Based on the Pauli spin operators we develop the notion of the spin-correlation matrix for the two-qubit system. If this matrix is non-zero, the measure of the correlation between the qubits is the average of the non-zero elements. Trivially, for zero matrix the bipartite is uncorrelated. This criterion turns out to be a necessary and sufficient condition for the full correlation, where it includes information on both  entanglement and  correlation other than entanglement. Moreover, we discuss to what extent this criterion can give information on the entanglement of the system. The criterion i"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1106.3392","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":"2026-05-18T03:57:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rtMjRq9Hl1Z9J3J6daAEpZ6uauHv51KXrPzr0+MMQn6U79Zy1QsK8sFkEGeMn2p98/+sH4RNxyrSnE57aBv5Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T18:01:46.557620Z"},"content_sha256":"51daef4688b1f1c34368d4c7a1cb7ad354e923e29bbec70931897f812b07368b","schema_version":"1.0","event_id":"sha256:51daef4688b1f1c34368d4c7a1cb7ad354e923e29bbec70931897f812b07368b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/K2OG6CE4CICYHHXOIUNMQC2PDO/bundle.json","state_url":"https://pith.science/pith/K2OG6CE4CICYHHXOIUNMQC2PDO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/K2OG6CE4CICYHHXOIUNMQC2PDO/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":"2026-06-01T18:01:46Z","links":{"resolver":"https://pith.science/pith/K2OG6CE4CICYHHXOIUNMQC2PDO","bundle":"https://pith.science/pith/K2OG6CE4CICYHHXOIUNMQC2PDO/bundle.json","state":"https://pith.science/pith/K2OG6CE4CICYHHXOIUNMQC2PDO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/K2OG6CE4CICYHHXOIUNMQC2PDO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:K2OG6CE4CICYHHXOIUNMQC2PDO","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":"2bf0ea7023ce136420f28efa7e2d02669146fe3b742ef79cbdb81e33441a3671","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-06-17T06:33:09Z","title_canon_sha256":"7b715ee1fc278652cc02db919b2114019033a65ae35ea1834b5e48f59f4ed860"},"schema_version":"1.0","source":{"id":"1106.3392","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1106.3392","created_at":"2026-05-18T03:57:40Z"},{"alias_kind":"arxiv_version","alias_value":"1106.3392v3","created_at":"2026-05-18T03:57:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1106.3392","created_at":"2026-05-18T03:57:40Z"},{"alias_kind":"pith_short_12","alias_value":"K2OG6CE4CICY","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_16","alias_value":"K2OG6CE4CICYHHXO","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_8","alias_value":"K2OG6CE4","created_at":"2026-05-18T12:26:32Z"}],"graph_snapshots":[{"event_id":"sha256:51daef4688b1f1c34368d4c7a1cb7ad354e923e29bbec70931897f812b07368b","target":"graph","created_at":"2026-05-18T03:57:40Z","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":"Based on the Pauli spin operators we develop the notion of the spin-correlation matrix for the two-qubit system. If this matrix is non-zero, the measure of the correlation between the qubits is the average of the non-zero elements. Trivially, for zero matrix the bipartite is uncorrelated. This criterion turns out to be a necessary and sufficient condition for the full correlation, where it includes information on both  entanglement and  correlation other than entanglement. Moreover, we discuss to what extent this criterion can give information on the entanglement of the system. The criterion i","authors_text":"Faisal A. A. El-Orany","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-06-17T06:33:09Z","title":"Is the average of the spin-correlation elements the real measure of the entanglement of the two-qubit systems?"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1106.3392","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":"sha256:92e65a8c572f345bd56ec91da937f226362cc73da6fa65f7857f13ab0bad6f0c","target":"record","created_at":"2026-05-18T03:57:40Z","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":"2bf0ea7023ce136420f28efa7e2d02669146fe3b742ef79cbdb81e33441a3671","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-06-17T06:33:09Z","title_canon_sha256":"7b715ee1fc278652cc02db919b2114019033a65ae35ea1834b5e48f59f4ed860"},"schema_version":"1.0","source":{"id":"1106.3392","kind":"arxiv","version":3}},"canonical_sha256":"569c6f089c1205839eee451ac80b4f1bb22cfc05a9ebd4891ee5e0cc86c514c6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"569c6f089c1205839eee451ac80b4f1bb22cfc05a9ebd4891ee5e0cc86c514c6","first_computed_at":"2026-05-18T03:57:40.620689Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:57:40.620689Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Ajf9SFd7WhikQy0xsUZlpCNv0sObwTAWgNMLmJHtRq/8aJr5/iKOGrUNmWiKaapyC+WvsDs8m68g1riHxKk3AQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:57:40.623083Z","signed_message":"canonical_sha256_bytes"},"source_id":"1106.3392","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:92e65a8c572f345bd56ec91da937f226362cc73da6fa65f7857f13ab0bad6f0c","sha256:51daef4688b1f1c34368d4c7a1cb7ad354e923e29bbec70931897f812b07368b"],"state_sha256":"86dd57ce334bf2b93c5794264ef59c4c033f1b835feabc2b04820d832804f43c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Yr9S4DbprJwENgqw+TLpEL6gFqnAZmd5ovAj3J2fGGJCPgOlxN7ryL3tg9G8EUoORikfTBdmzbI34RZ2NIppAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T18:01:46.559532Z","bundle_sha256":"2960403aa47a0a06431bd34866a97960e0055fc85c249f964c41d768a524687b"}}