{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:ZMOSN6XAE5V5XNT262OPY6NPBC","short_pith_number":"pith:ZMOSN6XA","schema_version":"1.0","canonical_sha256":"cb1d26fae0276bdbb67af69cfc79af0892b5819b1e4f5be4cce173a267b9e74c","source":{"kind":"arxiv","id":"1806.09146","version":2},"attestation_state":"computed","paper":{"title":"Cosets, characters and fusion for admissible-level $\\mathfrak{osp}(1 \\vert 2)$ minimal models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","math.QA"],"primary_cat":"hep-th","authors_text":"David Ridout, Shashank Kanade, Thomas Creutzig, Tianshu Liu","submitted_at":"2018-06-24T13:51:34Z","abstract_excerpt":"We study the minimal models associated to $\\mathfrak{osp}(1 \\vert 2)$, otherwise known as the fractional-level Wess-Zumino-Witten models of $\\mathfrak{osp}(1 \\vert 2)$. Since these minimal models are extensions of the tensor product of certain Virasoro and $\\mathfrak{sl}_2$ minimal models, we can induce the known structures of the representations of the latter models to get a rather complete understanding of the minimal models of $\\mathfrak{osp}(1 \\vert 2)$. In particular, we classify the irreducible relaxed highest-weight modules, determine their characters and compute their Grothendieck fusi"},"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":"1806.09146","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-06-24T13:51:34Z","cross_cats_sorted":["math-ph","math.MP","math.QA"],"title_canon_sha256":"7dd11aa4501079522b772f2b0ed1da5af901abf40a6e841adbae0a18438986df","abstract_canon_sha256":"138acef58f4ac3a8dbbadae2f29c40f394cc7ba036e48f87c14a35d2e41effc9"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:59:08.412853Z","signature_b64":"MlDSfcj8Qdq3/nJZhY/f2bmGfJxTKJqYZky+vBv/AVOdlKRKF4Hc/yC0HX9EbVXBsEqbSU8VhdadSHbbTWVgCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cb1d26fae0276bdbb67af69cfc79af0892b5819b1e4f5be4cce173a267b9e74c","last_reissued_at":"2026-05-17T23:59:08.412347Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:59:08.412347Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Cosets, characters and fusion for admissible-level $\\mathfrak{osp}(1 \\vert 2)$ minimal models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","math.QA"],"primary_cat":"hep-th","authors_text":"David Ridout, Shashank Kanade, Thomas Creutzig, Tianshu Liu","submitted_at":"2018-06-24T13:51:34Z","abstract_excerpt":"We study the minimal models associated to $\\mathfrak{osp}(1 \\vert 2)$, otherwise known as the fractional-level Wess-Zumino-Witten models of $\\mathfrak{osp}(1 \\vert 2)$. Since these minimal models are extensions of the tensor product of certain Virasoro and $\\mathfrak{sl}_2$ minimal models, we can induce the known structures of the representations of the latter models to get a rather complete understanding of the minimal models of $\\mathfrak{osp}(1 \\vert 2)$. In particular, we classify the irreducible relaxed highest-weight modules, determine their characters and compute their Grothendieck fusi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.09146","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":"1806.09146","created_at":"2026-05-17T23:59:08.412425+00:00"},{"alias_kind":"arxiv_version","alias_value":"1806.09146v2","created_at":"2026-05-17T23:59:08.412425+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1806.09146","created_at":"2026-05-17T23:59:08.412425+00:00"},{"alias_kind":"pith_short_12","alias_value":"ZMOSN6XAE5V5","created_at":"2026-05-18T12:33:07.085635+00:00"},{"alias_kind":"pith_short_16","alias_value":"ZMOSN6XAE5V5XNT2","created_at":"2026-05-18T12:33:07.085635+00:00"},{"alias_kind":"pith_short_8","alias_value":"ZMOSN6XA","created_at":"2026-05-18T12:33:07.085635+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/ZMOSN6XAE5V5XNT262OPY6NPBC","json":"https://pith.science/pith/ZMOSN6XAE5V5XNT262OPY6NPBC.json","graph_json":"https://pith.science/api/pith-number/ZMOSN6XAE5V5XNT262OPY6NPBC/graph.json","events_json":"https://pith.science/api/pith-number/ZMOSN6XAE5V5XNT262OPY6NPBC/events.json","paper":"https://pith.science/paper/ZMOSN6XA"},"agent_actions":{"view_html":"https://pith.science/pith/ZMOSN6XAE5V5XNT262OPY6NPBC","download_json":"https://pith.science/pith/ZMOSN6XAE5V5XNT262OPY6NPBC.json","view_paper":"https://pith.science/paper/ZMOSN6XA","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1806.09146&json=true","fetch_graph":"https://pith.science/api/pith-number/ZMOSN6XAE5V5XNT262OPY6NPBC/graph.json","fetch_events":"https://pith.science/api/pith-number/ZMOSN6XAE5V5XNT262OPY6NPBC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ZMOSN6XAE5V5XNT262OPY6NPBC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ZMOSN6XAE5V5XNT262OPY6NPBC/action/storage_attestation","attest_author":"https://pith.science/pith/ZMOSN6XAE5V5XNT262OPY6NPBC/action/author_attestation","sign_citation":"https://pith.science/pith/ZMOSN6XAE5V5XNT262OPY6NPBC/action/citation_signature","submit_replication":"https://pith.science/pith/ZMOSN6XAE5V5XNT262OPY6NPBC/action/replication_record"}},"created_at":"2026-05-17T23:59:08.412425+00:00","updated_at":"2026-05-17T23:59:08.412425+00:00"}