{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:IX4ZVIDRVHJ7AYUXMAJ22WHNNG","short_pith_number":"pith:IX4ZVIDR","schema_version":"1.0","canonical_sha256":"45f99aa071a9d3f062976013ad58ed69ae69cc77ab03f792b27cbdecce55ffde","source":{"kind":"arxiv","id":"1012.5926","version":2},"attestation_state":"computed","paper":{"title":"Long-range quantum discord in critical spin systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"quant-ph","authors_text":"J. Maziero, L. C. C\\'eleri, M. S. Sarandy, R. M. Serra","submitted_at":"2010-12-29T12:29:19Z","abstract_excerpt":"We show that quantum correlations as quantified by quantum discord can characterize quantum phase transitions by exhibiting nontrivial long-range decay as a function of distance in spin systems. This is rather different from the behavior of pairwise entanglement, which is typically short-ranged even in critical systems. In particular, we find a clear change in the decay rate of quantum discord as the system crosses a quantum critical point. We illustrate this phenomenon for first-order, second-order, and infinite-order quantum phase transitions, indicating that pairwise quantum discord is an a"},"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":"1012.5926","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-12-29T12:29:19Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"7e51ee87d69ff718821544991faf94a52f3dd7687c4ae780086319512106091e","abstract_canon_sha256":"270b900da59bdee04490e5f4b68ca832ec22f1d0a09489af1a0107f341e169f2"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:58:14.210202Z","signature_b64":"xg5/0Nf7DzDEDp4uH2r/6QGvUOuE0Bg69++aHiigblQfrZKQ9PswRPPivDDpsRiJyeURMrmskTRfEBrfGA1dBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"45f99aa071a9d3f062976013ad58ed69ae69cc77ab03f792b27cbdecce55ffde","last_reissued_at":"2026-05-18T03:58:14.209723Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:58:14.209723Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Long-range quantum discord in critical spin systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"quant-ph","authors_text":"J. Maziero, L. C. C\\'eleri, M. S. Sarandy, R. M. Serra","submitted_at":"2010-12-29T12:29:19Z","abstract_excerpt":"We show that quantum correlations as quantified by quantum discord can characterize quantum phase transitions by exhibiting nontrivial long-range decay as a function of distance in spin systems. This is rather different from the behavior of pairwise entanglement, which is typically short-ranged even in critical systems. In particular, we find a clear change in the decay rate of quantum discord as the system crosses a quantum critical point. We illustrate this phenomenon for first-order, second-order, and infinite-order quantum phase transitions, indicating that pairwise quantum discord is an a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1012.5926","kind":"arxiv","version":2},"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":"1012.5926","created_at":"2026-05-18T03:58:14.209795+00:00"},{"alias_kind":"arxiv_version","alias_value":"1012.5926v2","created_at":"2026-05-18T03:58:14.209795+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1012.5926","created_at":"2026-05-18T03:58:14.209795+00:00"},{"alias_kind":"pith_short_12","alias_value":"IX4ZVIDRVHJ7","created_at":"2026-05-18T12:26:09.077623+00:00"},{"alias_kind":"pith_short_16","alias_value":"IX4ZVIDRVHJ7AYUX","created_at":"2026-05-18T12:26:09.077623+00:00"},{"alias_kind":"pith_short_8","alias_value":"IX4ZVIDR","created_at":"2026-05-18T12:26:09.077623+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/IX4ZVIDRVHJ7AYUXMAJ22WHNNG","json":"https://pith.science/pith/IX4ZVIDRVHJ7AYUXMAJ22WHNNG.json","graph_json":"https://pith.science/api/pith-number/IX4ZVIDRVHJ7AYUXMAJ22WHNNG/graph.json","events_json":"https://pith.science/api/pith-number/IX4ZVIDRVHJ7AYUXMAJ22WHNNG/events.json","paper":"https://pith.science/paper/IX4ZVIDR"},"agent_actions":{"view_html":"https://pith.science/pith/IX4ZVIDRVHJ7AYUXMAJ22WHNNG","download_json":"https://pith.science/pith/IX4ZVIDRVHJ7AYUXMAJ22WHNNG.json","view_paper":"https://pith.science/paper/IX4ZVIDR","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1012.5926&json=true","fetch_graph":"https://pith.science/api/pith-number/IX4ZVIDRVHJ7AYUXMAJ22WHNNG/graph.json","fetch_events":"https://pith.science/api/pith-number/IX4ZVIDRVHJ7AYUXMAJ22WHNNG/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/IX4ZVIDRVHJ7AYUXMAJ22WHNNG/action/timestamp_anchor","attest_storage":"https://pith.science/pith/IX4ZVIDRVHJ7AYUXMAJ22WHNNG/action/storage_attestation","attest_author":"https://pith.science/pith/IX4ZVIDRVHJ7AYUXMAJ22WHNNG/action/author_attestation","sign_citation":"https://pith.science/pith/IX4ZVIDRVHJ7AYUXMAJ22WHNNG/action/citation_signature","submit_replication":"https://pith.science/pith/IX4ZVIDRVHJ7AYUXMAJ22WHNNG/action/replication_record"}},"created_at":"2026-05-18T03:58:14.209795+00:00","updated_at":"2026-05-18T03:58:14.209795+00:00"}