{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:GWICM2JWHXVIWYYKKVQ37YSLV5","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":"3e34a8cc4b1ab0abc640d048998c6f8002b51e3f5cd1b94bf4102247f6b3b644","cross_cats_sorted":["hep-th","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2011-12-21T21:00:24Z","title_canon_sha256":"cfac58f57916d156924c1be6e3daacbfc99ee15be4994e0cc4b43fde00571e39"},"schema_version":"1.0","source":{"id":"1112.5166","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1112.5166","created_at":"2026-05-18T02:29:53Z"},{"alias_kind":"arxiv_version","alias_value":"1112.5166v2","created_at":"2026-05-18T02:29:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1112.5166","created_at":"2026-05-18T02:29:53Z"},{"alias_kind":"pith_short_12","alias_value":"GWICM2JWHXVI","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_16","alias_value":"GWICM2JWHXVIWYYK","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_8","alias_value":"GWICM2JW","created_at":"2026-05-18T12:26:30Z"}],"graph_snapshots":[{"event_id":"sha256:1b217cefd535e66fb235bbbf2506d2ba3cbe744aae0aaeb80085d7cdca4c7fc7","target":"graph","created_at":"2026-05-18T02:29:53Z","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 study entanglement properties of systems with spontaneously broken continuous symmetry. We find that in addition to the expected area law behavior, the entanglement entropy contains a subleading contribution which diverges logarithmically with the subsystem size in agreement with the Monte Carlo simulations of A. Kallin et. al. (Phys. Rev. B 84, 165134 (2011)). The coefficient of the logarithm is a universal number given simply by $N_G (d-1)/2$, where $N_G$ is the number of Goldstone modes and $d$ is the spatial dimension. This term is present even when the subsystem boundary is straight an","authors_text":"Max A. Metlitski, Tarun Grover","cross_cats":["hep-th","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2011-12-21T21:00:24Z","title":"Entanglement Entropy of Systems with Spontaneously Broken Continuous Symmetry"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.5166","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:a8a4f2909d643735f3c0fc1fa7f0dd0842ccc0258bf36c0e128a95a0cc0a779b","target":"record","created_at":"2026-05-18T02:29:53Z","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":"3e34a8cc4b1ab0abc640d048998c6f8002b51e3f5cd1b94bf4102247f6b3b644","cross_cats_sorted":["hep-th","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2011-12-21T21:00:24Z","title_canon_sha256":"cfac58f57916d156924c1be6e3daacbfc99ee15be4994e0cc4b43fde00571e39"},"schema_version":"1.0","source":{"id":"1112.5166","kind":"arxiv","version":2}},"canonical_sha256":"35902669363dea8b630a5561bfe24baf7fd922ba5f12528538b705529f5fd381","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"35902669363dea8b630a5561bfe24baf7fd922ba5f12528538b705529f5fd381","first_computed_at":"2026-05-18T02:29:53.445525Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:29:53.445525Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1znKkCrDgrB446TM0IqVVVkjeDgQTdPQEaU/xSgLJW7yNnuHtjEIxl9YvmutZYhT2a4dudnxULCVsx6nLuG7Dg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:29:53.446025Z","signed_message":"canonical_sha256_bytes"},"source_id":"1112.5166","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a8a4f2909d643735f3c0fc1fa7f0dd0842ccc0258bf36c0e128a95a0cc0a779b","sha256:1b217cefd535e66fb235bbbf2506d2ba3cbe744aae0aaeb80085d7cdca4c7fc7"],"state_sha256":"28598ce1e53467c2a9ebaeab0c3dc5d170c2fd8513d620ac4445071a871552f8"}