{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:DFAMYONTKD6LYQDFOSLHXRYMKY","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":"744d8148a7f5d8f7e3b1e7ff93243128a9b8010e87357cfc73a6a88a91d469c8","cross_cats_sorted":["hep-ph","math.AT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2022-07-21T18:24:22Z","title_canon_sha256":"b8c5ce471aa162bb9d59958118e36d9a93a9c223763d875fe9ece48d33012025"},"schema_version":"1.0","source":{"id":"2207.10700","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2207.10700","created_at":"2026-07-05T05:07:49Z"},{"alias_kind":"arxiv_version","alias_value":"2207.10700v2","created_at":"2026-07-05T05:07:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2207.10700","created_at":"2026-07-05T05:07:49Z"},{"alias_kind":"pith_short_12","alias_value":"DFAMYONTKD6L","created_at":"2026-07-05T05:07:49Z"},{"alias_kind":"pith_short_16","alias_value":"DFAMYONTKD6LYQDF","created_at":"2026-07-05T05:07:49Z"},{"alias_kind":"pith_short_8","alias_value":"DFAMYONT","created_at":"2026-07-05T05:07:49Z"}],"graph_snapshots":[{"event_id":"sha256:796f5b9a95620b1f7a8c58f1ef0bcf7f62967975a61b35bcfd19e55da88b7c66","target":"graph","created_at":"2026-07-05T05:07:49Z","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/2207.10700/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We use cobordism theory to analyse anomalies of finite non-abelian symmetries in 4 spacetime dimensions. By applying the method of `anomaly interplay', which uses functoriality of cobordism and naturality of the $\\eta$-invariant to relate anomalies in a group of interest to anomalies in other (finite or compact Lie) groups, we derive the anomaly for every representation in many examples motivated by flavour physics, including $S_3$, $A_4$, $Q_8$, and $\\mathrm{SL}(2,\\mathbb{F}_3)$. In the case of finite abelian groups, it is well known that anomalies can be `truncated' in a way that has no effe","authors_text":"Ben Gripaios, Joe Davighi, Nakarin Lohitsiri","cross_cats":["hep-ph","math.AT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2022-07-21T18:24:22Z","title":"Anomalies of non-Abelian finite groups via cobordism"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2207.10700","kind":"arxiv","version":2},"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":"sha256:4768180835c7f10dce587c421c9fc144af851d213f030c8f06a8512ad24ba92b","target":"record","created_at":"2026-07-05T05:07:49Z","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":"744d8148a7f5d8f7e3b1e7ff93243128a9b8010e87357cfc73a6a88a91d469c8","cross_cats_sorted":["hep-ph","math.AT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2022-07-21T18:24:22Z","title_canon_sha256":"b8c5ce471aa162bb9d59958118e36d9a93a9c223763d875fe9ece48d33012025"},"schema_version":"1.0","source":{"id":"2207.10700","kind":"arxiv","version":2}},"canonical_sha256":"1940cc39b350fcbc406574967bc70c562bb4359610dc68b96362950b2fd9189c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1940cc39b350fcbc406574967bc70c562bb4359610dc68b96362950b2fd9189c","first_computed_at":"2026-07-05T05:07:49.385449Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:07:49.385449Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"AOqc7Vsdy4SmOx/+I/t2Wbs0TSAcV0VzaC6jLNgfATI4CY69wEE7SJe0gPUM2/jcRTNLxFRrUaatqXUHUHHuDg==","signature_status":"signed_v1","signed_at":"2026-07-05T05:07:49.386239Z","signed_message":"canonical_sha256_bytes"},"source_id":"2207.10700","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4768180835c7f10dce587c421c9fc144af851d213f030c8f06a8512ad24ba92b","sha256:796f5b9a95620b1f7a8c58f1ef0bcf7f62967975a61b35bcfd19e55da88b7c66"],"state_sha256":"abe45a6f9a13acbc599d886a384b1197a1d3b5a8ce0f590dacbc628b0fabb90d"}