{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:AOMRUUFFF2HJLVCT73V6VRYQOQ","short_pith_number":"pith:AOMRUUFF","schema_version":"1.0","canonical_sha256":"03991a50a52e8e95d453feebeac7107427a2df3f4c772a881bbe59065ab7e708","source":{"kind":"arxiv","id":"1305.0679","version":1},"attestation_state":"computed","paper":{"title":"Equivariant categories from categorical group actions on monoidal categories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.QA","authors_text":"Alexander Barvels","submitted_at":"2013-05-03T12:00:45Z","abstract_excerpt":"G-equivariant modular categories provide the input for a standard method to construct 3d homotopy field theories. Virelizier constructed a G-equivariant category from the action of a group G on a Hopf algebra H by Hopf algebra automorphisms. The neutral component of his category is the Drinfeld center of the category of H-modules. We generalize this construction to weak actions of a group G on an arbitrary monoidal category C by (possibly non-strict) monoidal auto-equivalences and obtain a G-equivariant category with neutral component the Drinfeld center of C."},"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":"1305.0679","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2013-05-03T12:00:45Z","cross_cats_sorted":[],"title_canon_sha256":"6ad7c6becff61baf047209819432ba052ebf3c4e4a8ce9b2ffb2a1380cf991b5","abstract_canon_sha256":"ac883de1cb82aad3edf7fdb80c30bedff1263fa491b6463dc1d1f750e1e01262"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:26:33.058916Z","signature_b64":"jd0BQSiZ3K0Z70EBGMYMcLqR9ubnRDCDJxzzXpuN3t8N85lypU4YKMoqMWh80QtCP2pJNhWMiRXfZcvIR7OQDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"03991a50a52e8e95d453feebeac7107427a2df3f4c772a881bbe59065ab7e708","last_reissued_at":"2026-05-18T03:26:33.058492Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:26:33.058492Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Equivariant categories from categorical group actions on monoidal categories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.QA","authors_text":"Alexander Barvels","submitted_at":"2013-05-03T12:00:45Z","abstract_excerpt":"G-equivariant modular categories provide the input for a standard method to construct 3d homotopy field theories. Virelizier constructed a G-equivariant category from the action of a group G on a Hopf algebra H by Hopf algebra automorphisms. The neutral component of his category is the Drinfeld center of the category of H-modules. We generalize this construction to weak actions of a group G on an arbitrary monoidal category C by (possibly non-strict) monoidal auto-equivalences and obtain a G-equivariant category with neutral component the Drinfeld center of C."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.0679","kind":"arxiv","version":1},"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":"1305.0679","created_at":"2026-05-18T03:26:33.058552+00:00"},{"alias_kind":"arxiv_version","alias_value":"1305.0679v1","created_at":"2026-05-18T03:26:33.058552+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.0679","created_at":"2026-05-18T03:26:33.058552+00:00"},{"alias_kind":"pith_short_12","alias_value":"AOMRUUFFF2HJ","created_at":"2026-05-18T12:27:38.830355+00:00"},{"alias_kind":"pith_short_16","alias_value":"AOMRUUFFF2HJLVCT","created_at":"2026-05-18T12:27:38.830355+00:00"},{"alias_kind":"pith_short_8","alias_value":"AOMRUUFF","created_at":"2026-05-18T12:27:38.830355+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/AOMRUUFFF2HJLVCT73V6VRYQOQ","json":"https://pith.science/pith/AOMRUUFFF2HJLVCT73V6VRYQOQ.json","graph_json":"https://pith.science/api/pith-number/AOMRUUFFF2HJLVCT73V6VRYQOQ/graph.json","events_json":"https://pith.science/api/pith-number/AOMRUUFFF2HJLVCT73V6VRYQOQ/events.json","paper":"https://pith.science/paper/AOMRUUFF"},"agent_actions":{"view_html":"https://pith.science/pith/AOMRUUFFF2HJLVCT73V6VRYQOQ","download_json":"https://pith.science/pith/AOMRUUFFF2HJLVCT73V6VRYQOQ.json","view_paper":"https://pith.science/paper/AOMRUUFF","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1305.0679&json=true","fetch_graph":"https://pith.science/api/pith-number/AOMRUUFFF2HJLVCT73V6VRYQOQ/graph.json","fetch_events":"https://pith.science/api/pith-number/AOMRUUFFF2HJLVCT73V6VRYQOQ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/AOMRUUFFF2HJLVCT73V6VRYQOQ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/AOMRUUFFF2HJLVCT73V6VRYQOQ/action/storage_attestation","attest_author":"https://pith.science/pith/AOMRUUFFF2HJLVCT73V6VRYQOQ/action/author_attestation","sign_citation":"https://pith.science/pith/AOMRUUFFF2HJLVCT73V6VRYQOQ/action/citation_signature","submit_replication":"https://pith.science/pith/AOMRUUFFF2HJLVCT73V6VRYQOQ/action/replication_record"}},"created_at":"2026-05-18T03:26:33.058552+00:00","updated_at":"2026-05-18T03:26:33.058552+00:00"}