{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:AQERX4LC6VE4EB5S4UXSJ2PTUN","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":"911750da02f3d148f681805965a64945aa18e0f910f0f5e6df5febf9a835d9cf","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2015-10-12T22:20:07Z","title_canon_sha256":"a1d8ee6fe9c90e32bdb8e4d461a0076221fb17abb206fcedbe8492a3d1a6c918"},"schema_version":"1.0","source":{"id":"1510.03475","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1510.03475","created_at":"2026-05-18T00:45:58Z"},{"alias_kind":"arxiv_version","alias_value":"1510.03475v3","created_at":"2026-05-18T00:45:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.03475","created_at":"2026-05-18T00:45:58Z"},{"alias_kind":"pith_short_12","alias_value":"AQERX4LC6VE4","created_at":"2026-05-18T12:29:10Z"},{"alias_kind":"pith_short_16","alias_value":"AQERX4LC6VE4EB5S","created_at":"2026-05-18T12:29:10Z"},{"alias_kind":"pith_short_8","alias_value":"AQERX4LC","created_at":"2026-05-18T12:29:10Z"}],"graph_snapshots":[{"event_id":"sha256:8118e8ab09651a2751926442b9707eb8e856b49a5f9079037cff78553ae3485d","target":"graph","created_at":"2026-05-18T00:45:58Z","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"},"paper":{"abstract_excerpt":"Topological order of a topological phase of matter in two spacial dimensions is encoded by a unitary modular (tensor) category (UMC). A group symmetry of the topological phase induces a group symmetry of its corresponding UMC. Gauging is a well-known theoretical tool to promote a global symmetry to a local gauge symmetry. We give a mathematical formulation of gauging in terms of higher category formalism. Roughly, given a UMC with a symmetry group $G$, gauging is a 2-step process: first extend the UMC to a $G$-crossed braided fusion category and then take the equivariantization of the resultin","authors_text":"C\\'esar Galindo, Julia Yael Plavnik, Shawn X. Cui, Zhenghan Wang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2015-10-12T22:20:07Z","title":"On Gauging Symmetry of Modular Categories"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.03475","kind":"arxiv","version":3},"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":"sha256:3443ae88032ed642868c2b9268741b095388514f99c9f6e7a7ae4c060ce34a22","target":"record","created_at":"2026-05-18T00:45:58Z","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":"911750da02f3d148f681805965a64945aa18e0f910f0f5e6df5febf9a835d9cf","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2015-10-12T22:20:07Z","title_canon_sha256":"a1d8ee6fe9c90e32bdb8e4d461a0076221fb17abb206fcedbe8492a3d1a6c918"},"schema_version":"1.0","source":{"id":"1510.03475","kind":"arxiv","version":3}},"canonical_sha256":"04091bf162f549c207b2e52f24e9f3a34c98a8d57c36ed91d06e32641bf6e086","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"04091bf162f549c207b2e52f24e9f3a34c98a8d57c36ed91d06e32641bf6e086","first_computed_at":"2026-05-18T00:45:58.904848Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:45:58.904848Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"KMkGUgG8qjeE/1UI9Po8ACk2YPUDFwIBO6qMcwQ1PKugBh7A3KXg40IyhzAV6tlWHgRhCbT/1jwwYIWMgUaEBg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:45:58.905347Z","signed_message":"canonical_sha256_bytes"},"source_id":"1510.03475","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3443ae88032ed642868c2b9268741b095388514f99c9f6e7a7ae4c060ce34a22","sha256:8118e8ab09651a2751926442b9707eb8e856b49a5f9079037cff78553ae3485d"],"state_sha256":"908ca2d9075aa9d9b634e571923b53629d8c868b4458039cebff36939532eb07"}