{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:AR35FAZPOM2T46Y7LQCZCDVEK3","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":"3480bc7a01c1b9df02a298498d59a3b75fb676671d1f49488e2c07e6aa37756f","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2012-12-20T21:00:10Z","title_canon_sha256":"2ee96664d9adcd6a5abfa143aeb168b7f17b6083e2852e87730e74aed053205d"},"schema_version":"1.0","source":{"id":"1212.5269","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1212.5269","created_at":"2026-05-18T03:26:08Z"},{"alias_kind":"arxiv_version","alias_value":"1212.5269v2","created_at":"2026-05-18T03:26:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.5269","created_at":"2026-05-18T03:26:08Z"},{"alias_kind":"pith_short_12","alias_value":"AR35FAZPOM2T","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_16","alias_value":"AR35FAZPOM2T46Y7","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_8","alias_value":"AR35FAZP","created_at":"2026-05-18T12:26:58Z"}],"graph_snapshots":[{"event_id":"sha256:265f471d14533fa61076cd1d7de147a474089e5465475a84c355607b4fdae622","target":"graph","created_at":"2026-05-18T03:26:08Z","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 develop a method to calculate the bipartite entanglement entropy of quantum models, in the thermodynamic limit, using a Numerical Linked Cluster Expansion (NLCE) involving only rectangular clusters. It is based on exact diagonalization of all n x m rectangular clusters at the interface between entangled subsystems A and B. We use it to obtain the Renyi entanglement entropy of the two-dimensional transverse field Ising model, for arbitrary real Renyi index alpha. Extrapolating these results as a function of the order of the calculation, we obtain universal pieces of the entanglement entropy ","authors_text":"Ann B. Kallin, Katharine Hyatt, Rajiv R. P. Singh, Roger G. Melko","cross_cats":["quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2012-12-20T21:00:10Z","title":"Entanglement at a Two-Dimensional Quantum Critical Point: a Numerical Linked Cluster Expansion Study"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.5269","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":"sha256:41822788b2b7243a73fbccf88999d4fde4917fea8e8fa82658b50d17fd4f155f","target":"record","created_at":"2026-05-18T03:26:08Z","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":"3480bc7a01c1b9df02a298498d59a3b75fb676671d1f49488e2c07e6aa37756f","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2012-12-20T21:00:10Z","title_canon_sha256":"2ee96664d9adcd6a5abfa143aeb168b7f17b6083e2852e87730e74aed053205d"},"schema_version":"1.0","source":{"id":"1212.5269","kind":"arxiv","version":2}},"canonical_sha256":"0477d2832f73353e7b1f5c05910ea456ff0624ec96da2c654f525a0d5fbada1b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0477d2832f73353e7b1f5c05910ea456ff0624ec96da2c654f525a0d5fbada1b","first_computed_at":"2026-05-18T03:26:08.675977Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:26:08.675977Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Yskh+aKvuiRcYB0xbx3ZFzehvkVYqOsOjbr8PMmZZJRX4NMOJmat9bo4YcUFVzxOZKHOnpMXiXp9cbv8ysmaDw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:26:08.676610Z","signed_message":"canonical_sha256_bytes"},"source_id":"1212.5269","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:41822788b2b7243a73fbccf88999d4fde4917fea8e8fa82658b50d17fd4f155f","sha256:265f471d14533fa61076cd1d7de147a474089e5465475a84c355607b4fdae622"],"state_sha256":"bd8925f537cb57b8709111e5fd5802f3732fdd2d6f2f3bcac2ad2db166e1a872"}