{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:7ZRBLDTGSZMAHZRWHJGUQAPTHI","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"4f77618685677820ed89bd4b796f0e4bbec9c22a387fee9ba0ef78283465c194","cross_cats_sorted":["math.CT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2022-11-09T14:38:57Z","title_canon_sha256":"4ee110832d82bdbf585830ac91a48caa0a907f6dadb184a16ee67b096e74981d"},"schema_version":"1.0","source":{"id":"2211.04917","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2211.04917","created_at":"2026-07-05T11:23:05Z"},{"alias_kind":"arxiv_version","alias_value":"2211.04917v4","created_at":"2026-07-05T11:23:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2211.04917","created_at":"2026-07-05T11:23:05Z"},{"alias_kind":"pith_short_12","alias_value":"7ZRBLDTGSZMA","created_at":"2026-07-05T11:23:05Z"},{"alias_kind":"pith_short_16","alias_value":"7ZRBLDTGSZMAHZRW","created_at":"2026-07-05T11:23:05Z"},{"alias_kind":"pith_short_8","alias_value":"7ZRBLDTG","created_at":"2026-07-05T11:23:05Z"}],"graph_snapshots":[{"event_id":"sha256:2d166456b1ed413ec57c74abba3ebdf607a6e259ccc96fc783a000009d963fcb","target":"graph","created_at":"2026-07-05T11:23:05Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2211.04917/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We prove that the Drinfeld center of a fusion 2-category is invariant under Morita equivalence. We go on to show that the concept of Morita equivalence between connected fusion 2-categories recovers exactly the notion of Witt equivalence between braided fusion 1-categories. A strongly fusion 2-category is a fusion 2-category whose braided fusion 1-category of endomorphisms of the monoidal unit is $\\mathbf{Vect}$ or $\\mathbf{SVect}$. We prove that every fusion 2-category is Morita equivalent to the 2-Deligne tensor product of a strongly fusion 2-category and an invertible fusion 2-category. We ","authors_text":"Thibault D. D\\'ecoppet","cross_cats":["math.CT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2022-11-09T14:38:57Z","title":"Drinfeld Centers and Morita Equivalence Classes of Fusion 2-Categories"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2211.04917","kind":"arxiv","version":4},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:4bd444d17915ed96e3dcc239b8c7345e6ad98dfbb4f2793a1911a8ada9f80649","target":"record","created_at":"2026-07-05T11:23:05Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"4f77618685677820ed89bd4b796f0e4bbec9c22a387fee9ba0ef78283465c194","cross_cats_sorted":["math.CT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2022-11-09T14:38:57Z","title_canon_sha256":"4ee110832d82bdbf585830ac91a48caa0a907f6dadb184a16ee67b096e74981d"},"schema_version":"1.0","source":{"id":"2211.04917","kind":"arxiv","version":4}},"canonical_sha256":"fe62158e66965803e6363a4d4801f33a06772a40444ae5a962d509e4ad90bcc0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fe62158e66965803e6363a4d4801f33a06772a40444ae5a962d509e4ad90bcc0","first_computed_at":"2026-07-05T11:23:05.572153Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:23:05.572153Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HrQypq7fCWQnAC6fpYW0V5BBJe1KjwAT8JWtRlSXiymr17pWrDfxGR9yn1I6q/rOUTOhb27Vo54luE3BFgWhAQ==","signature_status":"signed_v1","signed_at":"2026-07-05T11:23:05.572602Z","signed_message":"canonical_sha256_bytes"},"source_id":"2211.04917","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4bd444d17915ed96e3dcc239b8c7345e6ad98dfbb4f2793a1911a8ada9f80649","sha256:2d166456b1ed413ec57c74abba3ebdf607a6e259ccc96fc783a000009d963fcb"],"state_sha256":"a02bd26f94e3f121baf4cb559464435fd93168844f9fc56b763c9657c3f00ce9"}