{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:DECIQOFQHU6CNEGY4GCSLOISD5","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":"89d8bbb9f88e4c68595add963cb4809d16af70e0afdd0bc6d8375c4e451d2a1c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2018-04-26T22:51:39Z","title_canon_sha256":"cc1164035e800d864358ca675ec22318b18dc54773d18ca92d98b50e9a7a87d6"},"schema_version":"1.0","source":{"id":"1804.10304","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.10304","created_at":"2026-05-18T00:17:21Z"},{"alias_kind":"arxiv_version","alias_value":"1804.10304v1","created_at":"2026-05-18T00:17:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.10304","created_at":"2026-05-18T00:17:21Z"},{"alias_kind":"pith_short_12","alias_value":"DECIQOFQHU6C","created_at":"2026-05-18T12:32:19Z"},{"alias_kind":"pith_short_16","alias_value":"DECIQOFQHU6CNEGY","created_at":"2026-05-18T12:32:19Z"},{"alias_kind":"pith_short_8","alias_value":"DECIQOFQ","created_at":"2026-05-18T12:32:19Z"}],"graph_snapshots":[{"event_id":"sha256:ceec36a5b794499656a8538544c242702c1db8dfabd66ea4ad7a53016aabf696","target":"graph","created_at":"2026-05-18T00:17:21Z","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":"We characterize in terms of bicategories actions of monoidal categories to representation categories of algebras. For that purpose we introduce cocycles in any 2-category $\\K$ and the category of Tambara modules over a monad $B$ in $\\K$. We show that in an appropriate setting the above action of categories is given by a 2-cocycle in the Eilenberg-Moore category for the monad $B$. Furthermore, we introduce (co)quasi-bimonads in $\\K$ and their respective 2-categories. We show that the categories of Tambara (co)modules over a (co)quasi-bimonad in $\\K$ are monoidal, and how the 2-cocycles in the E","authors_text":"Bojana Femi\\'c","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2018-04-26T22:51:39Z","title":"A bicategorical approach to actions of monoidal categories"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.10304","kind":"arxiv","version":1},"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":"sha256:8bb3e9c73fc4d28f8a96f7565e457130a946483a150e2d5ec21838d727b2056e","target":"record","created_at":"2026-05-18T00:17:21Z","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":"89d8bbb9f88e4c68595add963cb4809d16af70e0afdd0bc6d8375c4e451d2a1c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2018-04-26T22:51:39Z","title_canon_sha256":"cc1164035e800d864358ca675ec22318b18dc54773d18ca92d98b50e9a7a87d6"},"schema_version":"1.0","source":{"id":"1804.10304","kind":"arxiv","version":1}},"canonical_sha256":"19048838b03d3c2690d8e18525b9121f46f80f6b3a9eb418ed8fbdbbaa97441a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"19048838b03d3c2690d8e18525b9121f46f80f6b3a9eb418ed8fbdbbaa97441a","first_computed_at":"2026-05-18T00:17:21.178213Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:17:21.178213Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fYD5yYRbyu8Zv3qORw2g4zKYAiz2OouE8CpjfVOLQ4ideobhMJQOLJPpW8luyij0qNPmQWFY9WMIcda4brgxDg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:17:21.178916Z","signed_message":"canonical_sha256_bytes"},"source_id":"1804.10304","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8bb3e9c73fc4d28f8a96f7565e457130a946483a150e2d5ec21838d727b2056e","sha256:ceec36a5b794499656a8538544c242702c1db8dfabd66ea4ad7a53016aabf696"],"state_sha256":"1efebec5502f9508fff58fdbe0eae0e6de6cf9a91933896ee451d69861412c9d"}