{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:WUPL43JDILIEI7SOX5AXORSJJG","short_pith_number":"pith:WUPL43JD","schema_version":"1.0","canonical_sha256":"b51ebe6d2342d0447e4ebf417746494998c851678d5d777a8c22345f9aaffbee","source":{"kind":"arxiv","id":"1007.3169","version":3},"attestation_state":"computed","paper":{"title":"Thermal quantum and classical correlations in two qubit XX model in a nonuniform external magnetic field","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Ali Saif M. Hassan, Behzad Lari, Pramod S. Joag","submitted_at":"2010-07-19T14:53:27Z","abstract_excerpt":"We investigate how thermal quantum discord (QD) and classical correlations (CC) of a two-qubit one-dimensional XX Heisenberg chain in thermal equilibrium depend on the temperature of the bath as well as on nonuniform external magnetic fields applied to two qubits and varied separately. We show that the behavior of QD differs in many unexpected ways from the thermal entanglement (EOF). For the nonuniform case (B1 = -B2), we find that QD and CC are equal for all values of (B1 = -B2) and for different temperatures. We show that, in this case, the thermal states of the system belong to a class of "},"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":"1007.3169","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-07-19T14:53:27Z","cross_cats_sorted":[],"title_canon_sha256":"644fb926ae23d7b9da0eec048592ef091784009100200387c429d400a78e23e9","abstract_canon_sha256":"43569f6cd38bf10901ee94913632ffc487d4b0785a4012158d2d14a18d87ee46"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:06:20.587192Z","signature_b64":"0f+xTuTyQMYN58IrmJg0Dw+gDJpQwLTpGc7Re/LYe30z7RpwRYJImQsgbdbPO5+ZKpPmreBnh/wWNKW+dGIzBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b51ebe6d2342d0447e4ebf417746494998c851678d5d777a8c22345f9aaffbee","last_reissued_at":"2026-05-18T02:06:20.586498Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:06:20.586498Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Thermal quantum and classical correlations in two qubit XX model in a nonuniform external magnetic field","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Ali Saif M. Hassan, Behzad Lari, Pramod S. Joag","submitted_at":"2010-07-19T14:53:27Z","abstract_excerpt":"We investigate how thermal quantum discord (QD) and classical correlations (CC) of a two-qubit one-dimensional XX Heisenberg chain in thermal equilibrium depend on the temperature of the bath as well as on nonuniform external magnetic fields applied to two qubits and varied separately. We show that the behavior of QD differs in many unexpected ways from the thermal entanglement (EOF). For the nonuniform case (B1 = -B2), we find that QD and CC are equal for all values of (B1 = -B2) and for different temperatures. We show that, in this case, the thermal states of the system belong to a class of "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1007.3169","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1007.3169","created_at":"2026-05-18T02:06:20.586615+00:00"},{"alias_kind":"arxiv_version","alias_value":"1007.3169v3","created_at":"2026-05-18T02:06:20.586615+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1007.3169","created_at":"2026-05-18T02:06:20.586615+00:00"},{"alias_kind":"pith_short_12","alias_value":"WUPL43JDILIE","created_at":"2026-05-18T12:26:17.028572+00:00"},{"alias_kind":"pith_short_16","alias_value":"WUPL43JDILIEI7SO","created_at":"2026-05-18T12:26:17.028572+00:00"},{"alias_kind":"pith_short_8","alias_value":"WUPL43JD","created_at":"2026-05-18T12:26:17.028572+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/WUPL43JDILIEI7SOX5AXORSJJG","json":"https://pith.science/pith/WUPL43JDILIEI7SOX5AXORSJJG.json","graph_json":"https://pith.science/api/pith-number/WUPL43JDILIEI7SOX5AXORSJJG/graph.json","events_json":"https://pith.science/api/pith-number/WUPL43JDILIEI7SOX5AXORSJJG/events.json","paper":"https://pith.science/paper/WUPL43JD"},"agent_actions":{"view_html":"https://pith.science/pith/WUPL43JDILIEI7SOX5AXORSJJG","download_json":"https://pith.science/pith/WUPL43JDILIEI7SOX5AXORSJJG.json","view_paper":"https://pith.science/paper/WUPL43JD","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1007.3169&json=true","fetch_graph":"https://pith.science/api/pith-number/WUPL43JDILIEI7SOX5AXORSJJG/graph.json","fetch_events":"https://pith.science/api/pith-number/WUPL43JDILIEI7SOX5AXORSJJG/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/WUPL43JDILIEI7SOX5AXORSJJG/action/timestamp_anchor","attest_storage":"https://pith.science/pith/WUPL43JDILIEI7SOX5AXORSJJG/action/storage_attestation","attest_author":"https://pith.science/pith/WUPL43JDILIEI7SOX5AXORSJJG/action/author_attestation","sign_citation":"https://pith.science/pith/WUPL43JDILIEI7SOX5AXORSJJG/action/citation_signature","submit_replication":"https://pith.science/pith/WUPL43JDILIEI7SOX5AXORSJJG/action/replication_record"}},"created_at":"2026-05-18T02:06:20.586615+00:00","updated_at":"2026-05-18T02:06:20.586615+00:00"}