{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:4DN4RHW3AYTDSLMAUJOX77DVWG","short_pith_number":"pith:4DN4RHW3","schema_version":"1.0","canonical_sha256":"e0dbc89edb0626392d80a25d7ffc75b1987d337ee5538475b284291b01a43df6","source":{"kind":"arxiv","id":"1503.01094","version":1},"attestation_state":"computed","paper":{"title":"Universal logarithmic corrections to entanglement entropies in two dimensions with spontaneously broken continuous symmetries","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["quant-ph"],"primary_cat":"cond-mat.str-el","authors_text":"David J. Luitz, Fabien Alet, Nicolas Laflorencie, Xavier Plat","submitted_at":"2015-03-03T20:40:05Z","abstract_excerpt":"We explore the R\\'enyi entanglement entropies of a one-dimensional (line) subsystem of length $L$ embedded in two-dimensional $L\\times L$ square lattice for quantum spin models whose ground-state breaks a continuous symmetry in the thermodynamic limit. Using quantum Monte Carlo simulations, we first study the $J_1 - J_2$ Heisenberg model with antiferromagnetic nearest-neighbor $J_1>0$ and ferromagnetic second-neighbor couplings $J_2\\le 0$. The signature of SU(2) symmetry breaking on finite size systems, ranging from $L=4$ up to $L=40$ clearly appears as a universal additive logarithmic correct"},"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":"1503.01094","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2015-03-03T20:40:05Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"2eb4e26c57da534d2f268acec61113e517c6ec190349e39ad32cce2c6a46ab39","abstract_canon_sha256":"f999c35e38ae4d30da33cf64ad6db6ebbd2b504c41a42d36ca3019859ba5007f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:17:23.913249Z","signature_b64":"iana6Z8HGVGAnBiWhHFb/c5HsHkP+MSN+IbKFPuZc1fh6sveUfaP6YOPj8u7aTLsPmIJtBytlaHzJEh9LQTnCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e0dbc89edb0626392d80a25d7ffc75b1987d337ee5538475b284291b01a43df6","last_reissued_at":"2026-05-18T02:17:23.912501Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:17:23.912501Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Universal logarithmic corrections to entanglement entropies in two dimensions with spontaneously broken continuous symmetries","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["quant-ph"],"primary_cat":"cond-mat.str-el","authors_text":"David J. Luitz, Fabien Alet, Nicolas Laflorencie, Xavier Plat","submitted_at":"2015-03-03T20:40:05Z","abstract_excerpt":"We explore the R\\'enyi entanglement entropies of a one-dimensional (line) subsystem of length $L$ embedded in two-dimensional $L\\times L$ square lattice for quantum spin models whose ground-state breaks a continuous symmetry in the thermodynamic limit. Using quantum Monte Carlo simulations, we first study the $J_1 - J_2$ Heisenberg model with antiferromagnetic nearest-neighbor $J_1>0$ and ferromagnetic second-neighbor couplings $J_2\\le 0$. The signature of SU(2) symmetry breaking on finite size systems, ranging from $L=4$ up to $L=40$ clearly appears as a universal additive logarithmic correct"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.01094","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":"1503.01094","created_at":"2026-05-18T02:17:23.912626+00:00"},{"alias_kind":"arxiv_version","alias_value":"1503.01094v1","created_at":"2026-05-18T02:17:23.912626+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.01094","created_at":"2026-05-18T02:17:23.912626+00:00"},{"alias_kind":"pith_short_12","alias_value":"4DN4RHW3AYTD","created_at":"2026-05-18T12:29:05.191682+00:00"},{"alias_kind":"pith_short_16","alias_value":"4DN4RHW3AYTDSLMA","created_at":"2026-05-18T12:29:05.191682+00:00"},{"alias_kind":"pith_short_8","alias_value":"4DN4RHW3","created_at":"2026-05-18T12:29:05.191682+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/4DN4RHW3AYTDSLMAUJOX77DVWG","json":"https://pith.science/pith/4DN4RHW3AYTDSLMAUJOX77DVWG.json","graph_json":"https://pith.science/api/pith-number/4DN4RHW3AYTDSLMAUJOX77DVWG/graph.json","events_json":"https://pith.science/api/pith-number/4DN4RHW3AYTDSLMAUJOX77DVWG/events.json","paper":"https://pith.science/paper/4DN4RHW3"},"agent_actions":{"view_html":"https://pith.science/pith/4DN4RHW3AYTDSLMAUJOX77DVWG","download_json":"https://pith.science/pith/4DN4RHW3AYTDSLMAUJOX77DVWG.json","view_paper":"https://pith.science/paper/4DN4RHW3","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1503.01094&json=true","fetch_graph":"https://pith.science/api/pith-number/4DN4RHW3AYTDSLMAUJOX77DVWG/graph.json","fetch_events":"https://pith.science/api/pith-number/4DN4RHW3AYTDSLMAUJOX77DVWG/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/4DN4RHW3AYTDSLMAUJOX77DVWG/action/timestamp_anchor","attest_storage":"https://pith.science/pith/4DN4RHW3AYTDSLMAUJOX77DVWG/action/storage_attestation","attest_author":"https://pith.science/pith/4DN4RHW3AYTDSLMAUJOX77DVWG/action/author_attestation","sign_citation":"https://pith.science/pith/4DN4RHW3AYTDSLMAUJOX77DVWG/action/citation_signature","submit_replication":"https://pith.science/pith/4DN4RHW3AYTDSLMAUJOX77DVWG/action/replication_record"}},"created_at":"2026-05-18T02:17:23.912626+00:00","updated_at":"2026-05-18T02:17:23.912626+00:00"}