{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:6FVBC5S7BSYECALLVYSIBTH3PW","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":"e4307182f1c82b8d856d7c7b6c5f69cd553f3b3be3eea2cd9ac95a34e1fbbc78","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2023-12-07T23:55:52Z","title_canon_sha256":"76440c0fe3fde94711998490aac17050addd18680573b15d138f04c291b3733a"},"schema_version":"1.0","source":{"id":"2312.04756","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2312.04756","created_at":"2026-07-05T08:32:33Z"},{"alias_kind":"arxiv_version","alias_value":"2312.04756v3","created_at":"2026-07-05T08:32:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2312.04756","created_at":"2026-07-05T08:32:33Z"},{"alias_kind":"pith_short_12","alias_value":"6FVBC5S7BSYE","created_at":"2026-07-05T08:32:33Z"},{"alias_kind":"pith_short_16","alias_value":"6FVBC5S7BSYECALL","created_at":"2026-07-05T08:32:33Z"},{"alias_kind":"pith_short_8","alias_value":"6FVBC5S7","created_at":"2026-07-05T08:32:33Z"}],"graph_snapshots":[{"event_id":"sha256:77dcc7f4f75c2d367060c72d2d745365ac6b90f9da6dd70d7fc9907e20bdada0","target":"graph","created_at":"2026-07-05T08:32:33Z","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/2312.04756/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We consider 't Hooft anomalies of four-dimensional gauge theories whose fermion matter content admits $Spin_G(4)$ generalized spin structure, with $G$ either gauged or a global symmetry. We discuss methods to directly compute $w_2\\cup w_3$ 't Hooft anomalies involving Stiefel-Whitney classes of gauge and flavor symmetry bundles that such theories can have on non-spin manifolds, e.g. $M_4=\\mathbb{CP}^2$. Such anomalies have been discussed for $SU(2)$ gauge theory with adjoint fermions, where they were shown to give an effect that was originally found in the Donaldson-Witten topological twist of","authors_text":"Kenneth Intriligator, T. Daniel Brennan","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2023-12-07T23:55:52Z","title":"Anomalies of 4d $Spin_G$ Theories"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2312.04756","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:b5440accac8f2649ecaf1af0b91a5b1764e640ae45b624d7da6ff520c452efb5","target":"record","created_at":"2026-07-05T08:32:33Z","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":"e4307182f1c82b8d856d7c7b6c5f69cd553f3b3be3eea2cd9ac95a34e1fbbc78","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2023-12-07T23:55:52Z","title_canon_sha256":"76440c0fe3fde94711998490aac17050addd18680573b15d138f04c291b3733a"},"schema_version":"1.0","source":{"id":"2312.04756","kind":"arxiv","version":3}},"canonical_sha256":"f16a11765f0cb041016bae2480ccfb7db67f4bf6b1ebaaae72c89a68de015489","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f16a11765f0cb041016bae2480ccfb7db67f4bf6b1ebaaae72c89a68de015489","first_computed_at":"2026-07-05T08:32:33.672212Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:32:33.672212Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mnBmgYPHzIn2FPls0krenoCYhvWVtrzfcUJ54byj4r7nfjpgif0VkaV24mAx7tsZEIZtrQyemauWARqKQq7MDw==","signature_status":"signed_v1","signed_at":"2026-07-05T08:32:33.672715Z","signed_message":"canonical_sha256_bytes"},"source_id":"2312.04756","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b5440accac8f2649ecaf1af0b91a5b1764e640ae45b624d7da6ff520c452efb5","sha256:77dcc7f4f75c2d367060c72d2d745365ac6b90f9da6dd70d7fc9907e20bdada0"],"state_sha256":"5615c9b3999a70d0a4c8cc1f2e63db93f681fdbd5adcb6678aea823fb7104a07"}