{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:TYVQNTXVXPDCJDRZBFOWGKMY4I","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":"d15fbc8e256ba0eddd7099f4e9f517660650c001cb923b51a2bd2ae107aac526","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2024-03-25T13:27:39Z","title_canon_sha256":"12f0dc2de9d3757699e66d61f77575bef7fc6ee2941e3df77dbd9294a4000fc6"},"schema_version":"1.0","source":{"id":"2403.16752","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2403.16752","created_at":"2026-07-05T08:38:07Z"},{"alias_kind":"arxiv_version","alias_value":"2403.16752v3","created_at":"2026-07-05T08:38:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2403.16752","created_at":"2026-07-05T08:38:07Z"},{"alias_kind":"pith_short_12","alias_value":"TYVQNTXVXPDC","created_at":"2026-07-05T08:38:07Z"},{"alias_kind":"pith_short_16","alias_value":"TYVQNTXVXPDCJDRZ","created_at":"2026-07-05T08:38:07Z"},{"alias_kind":"pith_short_8","alias_value":"TYVQNTXV","created_at":"2026-07-05T08:38:07Z"}],"graph_snapshots":[{"event_id":"sha256:aad603c717b37696d3d75ac06fe42b5a12e84a8e2172afbe9f711cd5fef9ab11","target":"graph","created_at":"2026-07-05T08:38:07Z","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/2403.16752/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study how the symmetry operator of the axial $U(1)$ non-invertible symmetry acts on the 't~Hooft line operator in the $U(1)$ gauge theory by employing the modified Villain-type lattice formulation. We model the axial anomaly by a compact scalar boson, the ``QED axion''. For the gauge invariance, the simple 't~Hooft line operator, which is defined by a line integral of the dual $U(1)$ gauge potential, must be ``dressed'' by the scalar and $U(1)$ gauge fields. A careful consideration on the basis of the anomalous Ward--Takahashi identity containing the 't~Hooft operator with the dressing fact","authors_text":"Hiroshi Suzuki, Soma Onoda, Yamato Honda","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2024-03-25T13:27:39Z","title":"Action of the axial $U(1)$ non-invertible symmetry on the 't~Hooft line operator: A lattice gauge theory study"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2403.16752","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":"sha256:38978ec92ccdff3dde96396927fe8fd94383f68f457c4f121ed6288d6cb7326c","target":"record","created_at":"2026-07-05T08:38:07Z","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":"d15fbc8e256ba0eddd7099f4e9f517660650c001cb923b51a2bd2ae107aac526","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2024-03-25T13:27:39Z","title_canon_sha256":"12f0dc2de9d3757699e66d61f77575bef7fc6ee2941e3df77dbd9294a4000fc6"},"schema_version":"1.0","source":{"id":"2403.16752","kind":"arxiv","version":3}},"canonical_sha256":"9e2b06cef5bbc6248e39095d632998e218591dfa2d5b3f30b607d9b6b9c2cc47","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9e2b06cef5bbc6248e39095d632998e218591dfa2d5b3f30b607d9b6b9c2cc47","first_computed_at":"2026-07-05T08:38:07.694241Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:38:07.694241Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2AcLkbK9C06M85YN3Ujh8b2gh9rYQC18L5Ol65PqCsPKZw4lEZSL6DLX1MIRBmfjRs4leJZBt0YqBGJJnqBMDA==","signature_status":"signed_v1","signed_at":"2026-07-05T08:38:07.694803Z","signed_message":"canonical_sha256_bytes"},"source_id":"2403.16752","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:38978ec92ccdff3dde96396927fe8fd94383f68f457c4f121ed6288d6cb7326c","sha256:aad603c717b37696d3d75ac06fe42b5a12e84a8e2172afbe9f711cd5fef9ab11"],"state_sha256":"1fff03f50b42d8d87112158c8987aa922578b0a2c636f81f4c391abe4108caa9"}