{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:VX3GWTSVPJEAEW6MM5V3TTLGHH","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":"67ef2591e3823e5071433528cd34bcb47d1c491e4794a387e117c772c2993698","cross_cats_sorted":["cond-mat.stat-mech","cond-mat.str-el"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-12-08T15:14:39Z","title_canon_sha256":"6d692e507f739c1230e4d2c63637d0e76f71eca2b40fdfdd1f9eb31ab73ee59a"},"schema_version":"1.0","source":{"id":"1112.1856","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1112.1856","created_at":"2026-05-18T03:49:01Z"},{"alias_kind":"arxiv_version","alias_value":"1112.1856v2","created_at":"2026-05-18T03:49:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1112.1856","created_at":"2026-05-18T03:49:01Z"},{"alias_kind":"pith_short_12","alias_value":"VX3GWTSVPJEA","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_16","alias_value":"VX3GWTSVPJEAEW6M","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_8","alias_value":"VX3GWTSV","created_at":"2026-05-18T12:26:44Z"}],"graph_snapshots":[{"event_id":"sha256:c449d6ecf17628e34af2a872748159805d5759c6022099e40c2f06258f0050c4","target":"graph","created_at":"2026-05-18T03:49:01Z","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 report opposite statistical mechanical behaviors of the two major paradigms in which quantum correlation measures are defined, viz., the entanglement-separability paradigm and the information-theoretic one. We show this by considering the ergodic properties of such quantum correlation measures in transverse quantum XY spin-1/2 systems in low dimensions. While entanglement measures are ergodic in such models, the quantum correlation measures defined from an information-theoretic perspective can be nonergodic.","authors_text":"Aditi Sen De, R. Prabhu, Ujjwal Sen","cross_cats":["cond-mat.stat-mech","cond-mat.str-el"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-12-08T15:14:39Z","title":"Dual quantum-correlation paradigms exhibit opposite statistical-mechanical properties"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.1856","kind":"arxiv","version":2},"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":"sha256:9848f07cad1d21c19288cd1ed79a43157afeda316910ddc1e4061dfa841465eb","target":"record","created_at":"2026-05-18T03:49:01Z","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":"67ef2591e3823e5071433528cd34bcb47d1c491e4794a387e117c772c2993698","cross_cats_sorted":["cond-mat.stat-mech","cond-mat.str-el"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-12-08T15:14:39Z","title_canon_sha256":"6d692e507f739c1230e4d2c63637d0e76f71eca2b40fdfdd1f9eb31ab73ee59a"},"schema_version":"1.0","source":{"id":"1112.1856","kind":"arxiv","version":2}},"canonical_sha256":"adf66b4e557a48025bcc676bb9cd6639ecbcb160550072486fcafa5f318f3efa","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"adf66b4e557a48025bcc676bb9cd6639ecbcb160550072486fcafa5f318f3efa","first_computed_at":"2026-05-18T03:49:01.105767Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:49:01.105767Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tgJxwKAOYIkAD0K+ZOZvQ+2TjN0PwtUVvcKr5WJGjLZWI95SzhtEIrkoFTEXjc8RmMiHix/lrMJNb8eu9BcuDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:49:01.106449Z","signed_message":"canonical_sha256_bytes"},"source_id":"1112.1856","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9848f07cad1d21c19288cd1ed79a43157afeda316910ddc1e4061dfa841465eb","sha256:c449d6ecf17628e34af2a872748159805d5759c6022099e40c2f06258f0050c4"],"state_sha256":"f5483e025e7d9effc0b9d2cd39c14762f166f8ad6a55db26dc491dc300b03c70"}