{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:E42UNNAIYRDDOP3LSSBU6I5NJM","short_pith_number":"pith:E42UNNAI","schema_version":"1.0","canonical_sha256":"273546b408c446373f6b94834f23ad4b2a789dab461f5eae3e4452e3ffb3dff5","source":{"kind":"arxiv","id":"1508.01111","version":2},"attestation_state":"computed","paper":{"title":"Simple-current algebra constructions of 2+1D topological orders","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"cond-mat.str-el","authors_text":"Kareljan Schoutens, Xiao-Gang Wen","submitted_at":"2015-08-05T15:53:37Z","abstract_excerpt":"Self-consistent (non-)abelian statistics in 2+1D are classified by modular tensor categories (MTC). In recent works, a simplified axiomatic approach to MTCs, based on fusion coefficients $N^{ij}_k$ and spins $s_i$, was proposed. A numerical search based on these axioms led to a list of possible (non-)abelian statistics, with rank up to $N=7$. However, there is no guarantee that all solutions to the simplified axioms are consistent and can be realised by bosonic physical systems. In this paper, we use simple-current algebra to address this issue. We explicitly construct many-body wave functions"},"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":"1508.01111","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2015-08-05T15:53:37Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"2033d82f24a2555bedf0733dbcf1103d8ffaa5643c5ead85a5450e369485f963","abstract_canon_sha256":"170dcab5bd0a36cfeff00a0664c48839300aaa4fea3863daa2262fc8abe074e2"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:22:37.250642Z","signature_b64":"y/N3EMPFnSZk92u4QFff/oqbK8rtIJ/2U8V26NdqH1tSFm/QP8j7vS1IF6KVQBlwbwz06UgpOIjRSJGN4nsWAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"273546b408c446373f6b94834f23ad4b2a789dab461f5eae3e4452e3ffb3dff5","last_reissued_at":"2026-05-18T01:22:37.250226Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:22:37.250226Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Simple-current algebra constructions of 2+1D topological orders","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"cond-mat.str-el","authors_text":"Kareljan Schoutens, Xiao-Gang Wen","submitted_at":"2015-08-05T15:53:37Z","abstract_excerpt":"Self-consistent (non-)abelian statistics in 2+1D are classified by modular tensor categories (MTC). In recent works, a simplified axiomatic approach to MTCs, based on fusion coefficients $N^{ij}_k$ and spins $s_i$, was proposed. A numerical search based on these axioms led to a list of possible (non-)abelian statistics, with rank up to $N=7$. However, there is no guarantee that all solutions to the simplified axioms are consistent and can be realised by bosonic physical systems. In this paper, we use simple-current algebra to address this issue. We explicitly construct many-body wave functions"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1508.01111","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":"1508.01111","created_at":"2026-05-18T01:22:37.250287+00:00"},{"alias_kind":"arxiv_version","alias_value":"1508.01111v2","created_at":"2026-05-18T01:22:37.250287+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1508.01111","created_at":"2026-05-18T01:22:37.250287+00:00"},{"alias_kind":"pith_short_12","alias_value":"E42UNNAIYRDD","created_at":"2026-05-18T12:29:17.054201+00:00"},{"alias_kind":"pith_short_16","alias_value":"E42UNNAIYRDDOP3L","created_at":"2026-05-18T12:29:17.054201+00:00"},{"alias_kind":"pith_short_8","alias_value":"E42UNNAI","created_at":"2026-05-18T12:29:17.054201+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":4,"internal_anchor_count":3,"sample":[{"citing_arxiv_id":"2508.08639","citing_title":"Extending fusion rules with finite subgroups: A general construction of $Z_{N}$ extended conformal field theories and their orbifoldings","ref_index":36,"is_internal_anchor":true},{"citing_arxiv_id":"2605.07734","citing_title":"Characterizing bulk properties of gapped phases by smeared boundary conformal field theories: Role of duality in unusual ordering","ref_index":98,"is_internal_anchor":true},{"citing_arxiv_id":"2511.11059","citing_title":"Generalizing quantum dimensions: Symmetry-based classification of local pseudo-Hermitian systems and the corresponding domain walls","ref_index":262,"is_internal_anchor":true},{"citing_arxiv_id":"2605.07734","citing_title":"Characterizing bulk properties of gapped phases by smeared boundary conformal field theories: Role of duality in unusual ordering","ref_index":98,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/E42UNNAIYRDDOP3LSSBU6I5NJM","json":"https://pith.science/pith/E42UNNAIYRDDOP3LSSBU6I5NJM.json","graph_json":"https://pith.science/api/pith-number/E42UNNAIYRDDOP3LSSBU6I5NJM/graph.json","events_json":"https://pith.science/api/pith-number/E42UNNAIYRDDOP3LSSBU6I5NJM/events.json","paper":"https://pith.science/paper/E42UNNAI"},"agent_actions":{"view_html":"https://pith.science/pith/E42UNNAIYRDDOP3LSSBU6I5NJM","download_json":"https://pith.science/pith/E42UNNAIYRDDOP3LSSBU6I5NJM.json","view_paper":"https://pith.science/paper/E42UNNAI","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1508.01111&json=true","fetch_graph":"https://pith.science/api/pith-number/E42UNNAIYRDDOP3LSSBU6I5NJM/graph.json","fetch_events":"https://pith.science/api/pith-number/E42UNNAIYRDDOP3LSSBU6I5NJM/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/E42UNNAIYRDDOP3LSSBU6I5NJM/action/timestamp_anchor","attest_storage":"https://pith.science/pith/E42UNNAIYRDDOP3LSSBU6I5NJM/action/storage_attestation","attest_author":"https://pith.science/pith/E42UNNAIYRDDOP3LSSBU6I5NJM/action/author_attestation","sign_citation":"https://pith.science/pith/E42UNNAIYRDDOP3LSSBU6I5NJM/action/citation_signature","submit_replication":"https://pith.science/pith/E42UNNAIYRDDOP3LSSBU6I5NJM/action/replication_record"}},"created_at":"2026-05-18T01:22:37.250287+00:00","updated_at":"2026-05-18T01:22:37.250287+00:00"}