{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:RXUZBHWGSYR4ZCJ4WHHNSVI24J","short_pith_number":"pith:RXUZBHWG","schema_version":"1.0","canonical_sha256":"8de9909ec69623cc893cb1ced9551ae26be0b3256c2dd0b93d019441a0b2cb1b","source":{"kind":"arxiv","id":"1501.07679","version":2},"attestation_state":"computed","paper":{"title":"Drinfeld centers of fusion categories arising from generalized Haagerup subfactors","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.QA"],"primary_cat":"math.OA","authors_text":"Masaki Izumi, Pinhas Grossman","submitted_at":"2015-01-30T07:07:09Z","abstract_excerpt":"We consider generalized Haagerup categories such that $1 \\oplus X$ admits a $Q$-system for every non-invertible simple object $X$. We show that in such a category, the group of order two invertible objects has size at most four. We describe the simple objects of the Drinfeld center and give partial formulas for the modular data. We compute the remaining corner of the modular data for several examples and make conjectures about the general case. We also consider several types of equivariantizations and de-equivariantizations of generalized Haagerup categories and describe their Drinfeld centers"},"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":"1501.07679","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2015-01-30T07:07:09Z","cross_cats_sorted":["math.QA"],"title_canon_sha256":"48e6fc5a74386e8a0b95268c935c1edf3a27d296add754c0881dc8800b995ad9","abstract_canon_sha256":"9020d773b6ac074ac9b7962edee3dc6bf55f2d00061c4426e87178b87acff455"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:43:09.746277Z","signature_b64":"sIV7T8lmHabcspOHbfaHyLgOboA7YeRubXNH8r/F7m17pxhL1nHOJwa1IOX36Hq+EFXoLBWadxuIQs4DFosfCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8de9909ec69623cc893cb1ced9551ae26be0b3256c2dd0b93d019441a0b2cb1b","last_reissued_at":"2026-05-17T23:43:09.745697Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:43:09.745697Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Drinfeld centers of fusion categories arising from generalized Haagerup subfactors","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.QA"],"primary_cat":"math.OA","authors_text":"Masaki Izumi, Pinhas Grossman","submitted_at":"2015-01-30T07:07:09Z","abstract_excerpt":"We consider generalized Haagerup categories such that $1 \\oplus X$ admits a $Q$-system for every non-invertible simple object $X$. We show that in such a category, the group of order two invertible objects has size at most four. We describe the simple objects of the Drinfeld center and give partial formulas for the modular data. We compute the remaining corner of the modular data for several examples and make conjectures about the general case. We also consider several types of equivariantizations and de-equivariantizations of generalized Haagerup categories and describe their Drinfeld centers"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.07679","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":"1501.07679","created_at":"2026-05-17T23:43:09.745782+00:00"},{"alias_kind":"arxiv_version","alias_value":"1501.07679v2","created_at":"2026-05-17T23:43:09.745782+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1501.07679","created_at":"2026-05-17T23:43:09.745782+00:00"},{"alias_kind":"pith_short_12","alias_value":"RXUZBHWGSYR4","created_at":"2026-05-18T12:29:39.896362+00:00"},{"alias_kind":"pith_short_16","alias_value":"RXUZBHWGSYR4ZCJ4","created_at":"2026-05-18T12:29:39.896362+00:00"},{"alias_kind":"pith_short_8","alias_value":"RXUZBHWG","created_at":"2026-05-18T12:29:39.896362+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/RXUZBHWGSYR4ZCJ4WHHNSVI24J","json":"https://pith.science/pith/RXUZBHWGSYR4ZCJ4WHHNSVI24J.json","graph_json":"https://pith.science/api/pith-number/RXUZBHWGSYR4ZCJ4WHHNSVI24J/graph.json","events_json":"https://pith.science/api/pith-number/RXUZBHWGSYR4ZCJ4WHHNSVI24J/events.json","paper":"https://pith.science/paper/RXUZBHWG"},"agent_actions":{"view_html":"https://pith.science/pith/RXUZBHWGSYR4ZCJ4WHHNSVI24J","download_json":"https://pith.science/pith/RXUZBHWGSYR4ZCJ4WHHNSVI24J.json","view_paper":"https://pith.science/paper/RXUZBHWG","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1501.07679&json=true","fetch_graph":"https://pith.science/api/pith-number/RXUZBHWGSYR4ZCJ4WHHNSVI24J/graph.json","fetch_events":"https://pith.science/api/pith-number/RXUZBHWGSYR4ZCJ4WHHNSVI24J/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/RXUZBHWGSYR4ZCJ4WHHNSVI24J/action/timestamp_anchor","attest_storage":"https://pith.science/pith/RXUZBHWGSYR4ZCJ4WHHNSVI24J/action/storage_attestation","attest_author":"https://pith.science/pith/RXUZBHWGSYR4ZCJ4WHHNSVI24J/action/author_attestation","sign_citation":"https://pith.science/pith/RXUZBHWGSYR4ZCJ4WHHNSVI24J/action/citation_signature","submit_replication":"https://pith.science/pith/RXUZBHWGSYR4ZCJ4WHHNSVI24J/action/replication_record"}},"created_at":"2026-05-17T23:43:09.745782+00:00","updated_at":"2026-05-17T23:43:09.745782+00:00"}