{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:KUOEMMBJGRPIBUAIEKTKMZMYHM","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":"06a77886e960a39e7b8cf23b7f0b5af5f4be63c3a52fe6903ca0fb50cf9f4f18","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2011-05-24T21:39:48Z","title_canon_sha256":"e95157a47e5aa64a9ce192ba7f2d4d3176fd452b7783f33301966d5bd5f2b4b4"},"schema_version":"1.0","source":{"id":"1105.4900","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1105.4900","created_at":"2026-05-18T03:23:24Z"},{"alias_kind":"arxiv_version","alias_value":"1105.4900v3","created_at":"2026-05-18T03:23:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1105.4900","created_at":"2026-05-18T03:23:24Z"},{"alias_kind":"pith_short_12","alias_value":"KUOEMMBJGRPI","created_at":"2026-05-18T12:26:34Z"},{"alias_kind":"pith_short_16","alias_value":"KUOEMMBJGRPIBUAI","created_at":"2026-05-18T12:26:34Z"},{"alias_kind":"pith_short_8","alias_value":"KUOEMMBJ","created_at":"2026-05-18T12:26:34Z"}],"graph_snapshots":[{"event_id":"sha256:d4dd6a9d1561cd5dcf255080b9ebd843b01131eb2b1f5c12822bc2eed2763127","target":"graph","created_at":"2026-05-18T03:23:24Z","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 the $S_z$-conserving quantum spin Hall insulator in the presence of Hubbard $U$ from a field theory point view. The main findings are the following. (1) For arbitrarily small U the edges possess power-law correlated antiferromagnetic XY local moments. Gapless charge excitations arise from the Goldstone-Wilczek mechanism. (2) The decaying exponent of the XY correlation is $\\ge 2$ hence normally space-time vortices should proliferate. (3) For thermodynamic samples, vortex proliferation is prohibited by the conservation of edge charge. (4) For a sample with finite width electron tunnelin","authors_text":"Dung-Hai Lee","cross_cats":["quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2011-05-24T21:39:48Z","title":"The effects of interaction on quantum spin Hall insulators"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1105.4900","kind":"arxiv","version":3},"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":"sha256:019a7d46f37b1582d11457cff33e1aa29b4e03f99e9f2939bbc369f64015b138","target":"record","created_at":"2026-05-18T03:23:24Z","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":"06a77886e960a39e7b8cf23b7f0b5af5f4be63c3a52fe6903ca0fb50cf9f4f18","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2011-05-24T21:39:48Z","title_canon_sha256":"e95157a47e5aa64a9ce192ba7f2d4d3176fd452b7783f33301966d5bd5f2b4b4"},"schema_version":"1.0","source":{"id":"1105.4900","kind":"arxiv","version":3}},"canonical_sha256":"551c463029345e80d00822a6a665983b018351bef714eed3b829cd9e56960be3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"551c463029345e80d00822a6a665983b018351bef714eed3b829cd9e56960be3","first_computed_at":"2026-05-18T03:23:24.982270Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:23:24.982270Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ALBZdYiVSYM0p6BMFHgAlJ+ecl6SAvMVRgmCJbMIelLNO7mHmfAEian4UTIhGc+gFqBBEMUZI6DRAK8WDccIBg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:23:24.982950Z","signed_message":"canonical_sha256_bytes"},"source_id":"1105.4900","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:019a7d46f37b1582d11457cff33e1aa29b4e03f99e9f2939bbc369f64015b138","sha256:d4dd6a9d1561cd5dcf255080b9ebd843b01131eb2b1f5c12822bc2eed2763127"],"state_sha256":"d14a65d5f9b0f08ca8272ceee8fd2178de14f9da34835fef0969e5321c1afc92"}