{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:2UJ6JJJIX7YBZPAG632K6UBBSV","short_pith_number":"pith:2UJ6JJJI","schema_version":"1.0","canonical_sha256":"d513e4a528bff01cbc06f6f4af502195431d765d29f9bc96ca39b2881fbf990c","source":{"kind":"arxiv","id":"1406.6262","version":2},"attestation_state":"computed","paper":{"title":"Correlation Lengths and Topological Entanglement Entropies of Unitary and Non-Unitary Fractional Quantum Hall Wavefunctions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"B. A. Bernevig, B. Estienne, N. Regnault","submitted_at":"2014-06-24T14:49:30Z","abstract_excerpt":"Using the newly developed Matrix Product State (MPS) formalism for non-abelian Fractional Quantum Hall (FQH) states, we address the question of whether a FQH trial wave function written as a correlation function in a non-unitary Conformal Field Theory (CFT) can describe the bulk of a gapped FQH phase. We show that the non-unitary Gaffnian state exhibits clear signatures of a pathological behavior. As a benchmark we compute the correlation length of Moore-Read state and find it to be finite in the thermodynamic limit. By contrast, the Gaffnian state has infinite correlation length in (at least)"},"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":"1406.6262","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2014-06-24T14:49:30Z","cross_cats_sorted":[],"title_canon_sha256":"c02941f7cf33daab9f16f21b02ab011736cd652e648194307f34518817dddb7f","abstract_canon_sha256":"a44e3b17d3c1547a0944205df0319230804be17dcaf197f624a233641f34c77f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:14:17.939166Z","signature_b64":"uAAQ3IkBMHJDDP47/PfiFgM589BjGP8EjC4Cx05+W1JkIyne7dwgRC1tsucAraLssq0hFQ6yFU3WL5HtnebLBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d513e4a528bff01cbc06f6f4af502195431d765d29f9bc96ca39b2881fbf990c","last_reissued_at":"2026-05-18T02:14:17.938630Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:14:17.938630Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Correlation Lengths and Topological Entanglement Entropies of Unitary and Non-Unitary Fractional Quantum Hall Wavefunctions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"B. A. Bernevig, B. Estienne, N. Regnault","submitted_at":"2014-06-24T14:49:30Z","abstract_excerpt":"Using the newly developed Matrix Product State (MPS) formalism for non-abelian Fractional Quantum Hall (FQH) states, we address the question of whether a FQH trial wave function written as a correlation function in a non-unitary Conformal Field Theory (CFT) can describe the bulk of a gapped FQH phase. We show that the non-unitary Gaffnian state exhibits clear signatures of a pathological behavior. As a benchmark we compute the correlation length of Moore-Read state and find it to be finite in the thermodynamic limit. By contrast, the Gaffnian state has infinite correlation length in (at least)"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.6262","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":"1406.6262","created_at":"2026-05-18T02:14:17.938729+00:00"},{"alias_kind":"arxiv_version","alias_value":"1406.6262v2","created_at":"2026-05-18T02:14:17.938729+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.6262","created_at":"2026-05-18T02:14:17.938729+00:00"},{"alias_kind":"pith_short_12","alias_value":"2UJ6JJJIX7YB","created_at":"2026-05-18T12:28:11.866339+00:00"},{"alias_kind":"pith_short_16","alias_value":"2UJ6JJJIX7YBZPAG","created_at":"2026-05-18T12:28:11.866339+00:00"},{"alias_kind":"pith_short_8","alias_value":"2UJ6JJJI","created_at":"2026-05-18T12:28:11.866339+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/2UJ6JJJIX7YBZPAG632K6UBBSV","json":"https://pith.science/pith/2UJ6JJJIX7YBZPAG632K6UBBSV.json","graph_json":"https://pith.science/api/pith-number/2UJ6JJJIX7YBZPAG632K6UBBSV/graph.json","events_json":"https://pith.science/api/pith-number/2UJ6JJJIX7YBZPAG632K6UBBSV/events.json","paper":"https://pith.science/paper/2UJ6JJJI"},"agent_actions":{"view_html":"https://pith.science/pith/2UJ6JJJIX7YBZPAG632K6UBBSV","download_json":"https://pith.science/pith/2UJ6JJJIX7YBZPAG632K6UBBSV.json","view_paper":"https://pith.science/paper/2UJ6JJJI","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1406.6262&json=true","fetch_graph":"https://pith.science/api/pith-number/2UJ6JJJIX7YBZPAG632K6UBBSV/graph.json","fetch_events":"https://pith.science/api/pith-number/2UJ6JJJIX7YBZPAG632K6UBBSV/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/2UJ6JJJIX7YBZPAG632K6UBBSV/action/timestamp_anchor","attest_storage":"https://pith.science/pith/2UJ6JJJIX7YBZPAG632K6UBBSV/action/storage_attestation","attest_author":"https://pith.science/pith/2UJ6JJJIX7YBZPAG632K6UBBSV/action/author_attestation","sign_citation":"https://pith.science/pith/2UJ6JJJIX7YBZPAG632K6UBBSV/action/citation_signature","submit_replication":"https://pith.science/pith/2UJ6JJJIX7YBZPAG632K6UBBSV/action/replication_record"}},"created_at":"2026-05-18T02:14:17.938729+00:00","updated_at":"2026-05-18T02:14:17.938729+00:00"}