{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:NOIDMPGE6TKXYSPFNT6PLCQPPL","short_pith_number":"pith:NOIDMPGE","schema_version":"1.0","canonical_sha256":"6b90363cc4f4d57c49e56cfcf58a0f7ac1a9a286246eaa79beccdee0cb7e6a62","source":{"kind":"arxiv","id":"1011.3485","version":2},"attestation_state":"computed","paper":{"title":"Topological BF field theory description of topological insulators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"cond-mat.str-el","authors_text":"Gil Young Cho, Joel E. Moore","submitted_at":"2010-11-15T19:55:25Z","abstract_excerpt":"Topological phases of matter are described universally by topological field theories in the same way that symmetry-breaking phases of matter are described by Landau-Ginzburg field theories. We propose that topological insulators in two and three dimensions are described by a version of abelian $BF$ theory. For the two-dimensional topological insulator or quantum spin Hall state, this description is essentially equivalent to a pair of Chern-Simons theories, consistent with the realization of this phase as paired integer quantum Hall effect states. The $BF$ description can be motivated from the "},"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":"1011.3485","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2010-11-15T19:55:25Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"27876b4417f09498c5dfc08863d2ecc67479f2eed323b5c767a79d1220e7b789","abstract_canon_sha256":"0d682bdc9e98e7f16da0be26499af46bb1a36247378536e837dfc1fb468b8880"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:23:36.617461Z","signature_b64":"uVYZJ2GC66hCx1y9MHA0BTHeGmmrkchXW0eRNE9ylcraQM4im1VBZsZRhfWiwS8bmUeA/P611E8J+4gW5EtfDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6b90363cc4f4d57c49e56cfcf58a0f7ac1a9a286246eaa79beccdee0cb7e6a62","last_reissued_at":"2026-05-18T02:23:36.616758Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:23:36.616758Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Topological BF field theory description of topological insulators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"cond-mat.str-el","authors_text":"Gil Young Cho, Joel E. Moore","submitted_at":"2010-11-15T19:55:25Z","abstract_excerpt":"Topological phases of matter are described universally by topological field theories in the same way that symmetry-breaking phases of matter are described by Landau-Ginzburg field theories. We propose that topological insulators in two and three dimensions are described by a version of abelian $BF$ theory. For the two-dimensional topological insulator or quantum spin Hall state, this description is essentially equivalent to a pair of Chern-Simons theories, consistent with the realization of this phase as paired integer quantum Hall effect states. The $BF$ description can be motivated from the "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1011.3485","kind":"arxiv","version":2},"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":"1011.3485","created_at":"2026-05-18T02:23:36.616860+00:00"},{"alias_kind":"arxiv_version","alias_value":"1011.3485v2","created_at":"2026-05-18T02:23:36.616860+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1011.3485","created_at":"2026-05-18T02:23:36.616860+00:00"},{"alias_kind":"pith_short_12","alias_value":"NOIDMPGE6TKX","created_at":"2026-05-18T12:26:10.704358+00:00"},{"alias_kind":"pith_short_16","alias_value":"NOIDMPGE6TKXYSPF","created_at":"2026-05-18T12:26:10.704358+00:00"},{"alias_kind":"pith_short_8","alias_value":"NOIDMPGE","created_at":"2026-05-18T12:26:10.704358+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/NOIDMPGE6TKXYSPFNT6PLCQPPL","json":"https://pith.science/pith/NOIDMPGE6TKXYSPFNT6PLCQPPL.json","graph_json":"https://pith.science/api/pith-number/NOIDMPGE6TKXYSPFNT6PLCQPPL/graph.json","events_json":"https://pith.science/api/pith-number/NOIDMPGE6TKXYSPFNT6PLCQPPL/events.json","paper":"https://pith.science/paper/NOIDMPGE"},"agent_actions":{"view_html":"https://pith.science/pith/NOIDMPGE6TKXYSPFNT6PLCQPPL","download_json":"https://pith.science/pith/NOIDMPGE6TKXYSPFNT6PLCQPPL.json","view_paper":"https://pith.science/paper/NOIDMPGE","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1011.3485&json=true","fetch_graph":"https://pith.science/api/pith-number/NOIDMPGE6TKXYSPFNT6PLCQPPL/graph.json","fetch_events":"https://pith.science/api/pith-number/NOIDMPGE6TKXYSPFNT6PLCQPPL/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/NOIDMPGE6TKXYSPFNT6PLCQPPL/action/timestamp_anchor","attest_storage":"https://pith.science/pith/NOIDMPGE6TKXYSPFNT6PLCQPPL/action/storage_attestation","attest_author":"https://pith.science/pith/NOIDMPGE6TKXYSPFNT6PLCQPPL/action/author_attestation","sign_citation":"https://pith.science/pith/NOIDMPGE6TKXYSPFNT6PLCQPPL/action/citation_signature","submit_replication":"https://pith.science/pith/NOIDMPGE6TKXYSPFNT6PLCQPPL/action/replication_record"}},"created_at":"2026-05-18T02:23:36.616860+00:00","updated_at":"2026-05-18T02:23:36.616860+00:00"}