{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:6DHZLRVONPGU4RH2N7SEOHI4HW","short_pith_number":"pith:6DHZLRVO","schema_version":"1.0","canonical_sha256":"f0cf95c6ae6bcd4e44fa6fe4471d1c3db32cff4d78858b279393e2f323d2bb2a","source":{"kind":"arxiv","id":"1204.1340","version":1},"attestation_state":"computed","paper":{"title":"Thermodynamic singularities in the entanglement entropy at a 2D quantum critical point","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["quant-ph"],"primary_cat":"cond-mat.stat-mech","authors_text":"Jaan Oitmaa, Rajiv R. P. Singh, Roger G. Melko","submitted_at":"2012-04-05T20:00:01Z","abstract_excerpt":"We study the bipartite entanglement entropy of the two-dimensional (2D) transverse-field Ising model in the thermodynamic limit using series expansion methods. Expansions are developed for the Renyi entropy around both the small-field and large-field limits, allowing the separate calculation of the entanglement associated with lines and corners at the boundary between sub-systems. Series extrapolations are used to extract subleading power laws and logarithmic singularities as the quantum critical point is approached. In 1D, we find excellent agreement with exact results as well as quantum Mont"},"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":"1204.1340","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2012-04-05T20:00:01Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"f65ff8cf3960c7dccd5917868a2c55e75c7a9f4a4e2a8b23f580069bd4d97bbd","abstract_canon_sha256":"76e13b172eebcf26b5910dfa0d02a0404952eb83eb06664c6a7d2685b3ae5bc6"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:45:22.967713Z","signature_b64":"91JnPmYxqonPi2gyLJRSb59b/KQ/fFq2zSG9xTQa0U/5Vfyr0Q5HvgBJwQFdyYTB7uajACxgKGjzid3acyHCAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f0cf95c6ae6bcd4e44fa6fe4471d1c3db32cff4d78858b279393e2f323d2bb2a","last_reissued_at":"2026-05-18T03:45:22.967069Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:45:22.967069Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Thermodynamic singularities in the entanglement entropy at a 2D quantum critical point","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["quant-ph"],"primary_cat":"cond-mat.stat-mech","authors_text":"Jaan Oitmaa, Rajiv R. P. Singh, Roger G. Melko","submitted_at":"2012-04-05T20:00:01Z","abstract_excerpt":"We study the bipartite entanglement entropy of the two-dimensional (2D) transverse-field Ising model in the thermodynamic limit using series expansion methods. Expansions are developed for the Renyi entropy around both the small-field and large-field limits, allowing the separate calculation of the entanglement associated with lines and corners at the boundary between sub-systems. Series extrapolations are used to extract subleading power laws and logarithmic singularities as the quantum critical point is approached. In 1D, we find excellent agreement with exact results as well as quantum Mont"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.1340","kind":"arxiv","version":1},"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":"1204.1340","created_at":"2026-05-18T03:45:22.967152+00:00"},{"alias_kind":"arxiv_version","alias_value":"1204.1340v1","created_at":"2026-05-18T03:45:22.967152+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.1340","created_at":"2026-05-18T03:45:22.967152+00:00"},{"alias_kind":"pith_short_12","alias_value":"6DHZLRVONPGU","created_at":"2026-05-18T12:26:56.085431+00:00"},{"alias_kind":"pith_short_16","alias_value":"6DHZLRVONPGU4RH2","created_at":"2026-05-18T12:26:56.085431+00:00"},{"alias_kind":"pith_short_8","alias_value":"6DHZLRVO","created_at":"2026-05-18T12:26:56.085431+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/6DHZLRVONPGU4RH2N7SEOHI4HW","json":"https://pith.science/pith/6DHZLRVONPGU4RH2N7SEOHI4HW.json","graph_json":"https://pith.science/api/pith-number/6DHZLRVONPGU4RH2N7SEOHI4HW/graph.json","events_json":"https://pith.science/api/pith-number/6DHZLRVONPGU4RH2N7SEOHI4HW/events.json","paper":"https://pith.science/paper/6DHZLRVO"},"agent_actions":{"view_html":"https://pith.science/pith/6DHZLRVONPGU4RH2N7SEOHI4HW","download_json":"https://pith.science/pith/6DHZLRVONPGU4RH2N7SEOHI4HW.json","view_paper":"https://pith.science/paper/6DHZLRVO","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1204.1340&json=true","fetch_graph":"https://pith.science/api/pith-number/6DHZLRVONPGU4RH2N7SEOHI4HW/graph.json","fetch_events":"https://pith.science/api/pith-number/6DHZLRVONPGU4RH2N7SEOHI4HW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/6DHZLRVONPGU4RH2N7SEOHI4HW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/6DHZLRVONPGU4RH2N7SEOHI4HW/action/storage_attestation","attest_author":"https://pith.science/pith/6DHZLRVONPGU4RH2N7SEOHI4HW/action/author_attestation","sign_citation":"https://pith.science/pith/6DHZLRVONPGU4RH2N7SEOHI4HW/action/citation_signature","submit_replication":"https://pith.science/pith/6DHZLRVONPGU4RH2N7SEOHI4HW/action/replication_record"}},"created_at":"2026-05-18T03:45:22.967152+00:00","updated_at":"2026-05-18T03:45:22.967152+00:00"}