{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:JQWVHJWVFG5EFU462M5BM6R3OF","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":"b5f8032209b4c59897a53598c213d62eefb7f5d73dd41ce6eb6ee9c9c924dcde","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2012-04-25T15:31:44Z","title_canon_sha256":"c9a69d65a0b840c2cebd2f30099ab2d03ff11e29ae6a23490cb614e7730a53ae"},"schema_version":"1.0","source":{"id":"1204.5682","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1204.5682","created_at":"2026-05-18T03:57:01Z"},{"alias_kind":"arxiv_version","alias_value":"1204.5682v1","created_at":"2026-05-18T03:57:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.5682","created_at":"2026-05-18T03:57:01Z"},{"alias_kind":"pith_short_12","alias_value":"JQWVHJWVFG5E","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_16","alias_value":"JQWVHJWVFG5EFU46","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_8","alias_value":"JQWVHJWV","created_at":"2026-05-18T12:27:11Z"}],"graph_snapshots":[{"event_id":"sha256:bbb3a3c06c23c497f5a867d60dce61de4bf44cf58937d5e877c71e19ea33b09c","target":"graph","created_at":"2026-05-18T03:57:01Z","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 analytically and numerically analyze the one-dimensional \"thin-torus\" limit of Fractional Topological Insulators in a series of simple models exhibiting exactly flat bands with local hopping. These models are the one-dimensional limit of two dimensional Chern Insulators, and the Hubbard-type interactions projected into their lowest band take particularly simple forms. By exactly solving the many-body interacting spectrum of these models, we show that, just like in the Fractional Quantum Hall effect, the zero modes of the thin-torus limit are CDW states of occupation numbers satisfying gener","authors_text":"B. Andrei Bernevig, N. Regnault","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2012-04-25T15:31:44Z","title":"Thin-Torus Limit of Fractional Topological Insulators"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.5682","kind":"arxiv","version":1},"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":"sha256:79a479d8520c834f69ecfd4f4d1a6e8740b9849de2a589a8de7969e29f071e8e","target":"record","created_at":"2026-05-18T03:57:01Z","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":"b5f8032209b4c59897a53598c213d62eefb7f5d73dd41ce6eb6ee9c9c924dcde","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2012-04-25T15:31:44Z","title_canon_sha256":"c9a69d65a0b840c2cebd2f30099ab2d03ff11e29ae6a23490cb614e7730a53ae"},"schema_version":"1.0","source":{"id":"1204.5682","kind":"arxiv","version":1}},"canonical_sha256":"4c2d53a6d529ba42d39ed33a167a3b716e3bd4682b463758dacb1d7eb830f5d7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4c2d53a6d529ba42d39ed33a167a3b716e3bd4682b463758dacb1d7eb830f5d7","first_computed_at":"2026-05-18T03:57:01.635693Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:57:01.635693Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"CqMbqugcaJs0yKGW0erZPZ49H3PqspNcjLuWy9M7DiCw6D8ayx+8G9zO7DB3NKyGJbcCsYZ5RJncR+N5GOusAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:57:01.636459Z","signed_message":"canonical_sha256_bytes"},"source_id":"1204.5682","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:79a479d8520c834f69ecfd4f4d1a6e8740b9849de2a589a8de7969e29f071e8e","sha256:bbb3a3c06c23c497f5a867d60dce61de4bf44cf58937d5e877c71e19ea33b09c"],"state_sha256":"5f408d57fe0e8f40719775e0fe2e55c8cbdaa9ce01e8b3fd70d3f69c7ac953b0"}