{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:TYVQNTXVXPDCJDRZBFOWGKMY4I","short_pith_number":"pith:TYVQNTXV","canonical_record":{"source":{"id":"2403.16752","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2024-03-25T13:27:39Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"12f0dc2de9d3757699e66d61f77575bef7fc6ee2941e3df77dbd9294a4000fc6","abstract_canon_sha256":"d15fbc8e256ba0eddd7099f4e9f517660650c001cb923b51a2bd2ae107aac526"},"schema_version":"1.0"},"canonical_sha256":"9e2b06cef5bbc6248e39095d632998e218591dfa2d5b3f30b607d9b6b9c2cc47","source":{"kind":"arxiv","id":"2403.16752","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"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:TYVQNTXVXPDCJDRZBFOWGKMY4I","target":"record","payload":{"canonical_record":{"source":{"id":"2403.16752","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2024-03-25T13:27:39Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"12f0dc2de9d3757699e66d61f77575bef7fc6ee2941e3df77dbd9294a4000fc6","abstract_canon_sha256":"d15fbc8e256ba0eddd7099f4e9f517660650c001cb923b51a2bd2ae107aac526"},"schema_version":"1.0"},"canonical_sha256":"9e2b06cef5bbc6248e39095d632998e218591dfa2d5b3f30b607d9b6b9c2cc47","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:38:07.694803Z","signature_b64":"2AcLkbK9C06M85YN3Ujh8b2gh9rYQC18L5Ol65PqCsPKZw4lEZSL6DLX1MIRBmfjRs4leJZBt0YqBGJJnqBMDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9e2b06cef5bbc6248e39095d632998e218591dfa2d5b3f30b607d9b6b9c2cc47","last_reissued_at":"2026-07-05T08:38:07.694241Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:38:07.694241Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2403.16752","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T08:38:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hL53Lx8DcxCXyc604h7nzOzR8LY1m1jsdbA9EMkEh0d5RUKOVtvjAFwIpF2lUSoBceuWKjXFJa3bsb/OtgCOBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T00:40:01.980888Z"},"content_sha256":"38978ec92ccdff3dde96396927fe8fd94383f68f457c4f121ed6288d6cb7326c","schema_version":"1.0","event_id":"sha256:38978ec92ccdff3dde96396927fe8fd94383f68f457c4f121ed6288d6cb7326c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:TYVQNTXVXPDCJDRZBFOWGKMY4I","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Action of the axial $U(1)$ non-invertible symmetry on the 't~Hooft line operator: A lattice gauge theory study","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"hep-lat","authors_text":"Hiroshi Suzuki, Soma Onoda, Yamato Honda","submitted_at":"2024-03-25T13:27:39Z","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"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2403.16752","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2403.16752/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T08:38:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"n0vDsBmXGv0y9QXGcky3SDt0ib9snxLCruRrQ2H9AVX1yhPsHaJUIz5GyYSl99F2//w3MA9LQROXoUpWQEz7BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T00:40:01.981263Z"},"content_sha256":"aad603c717b37696d3d75ac06fe42b5a12e84a8e2172afbe9f711cd5fef9ab11","schema_version":"1.0","event_id":"sha256:aad603c717b37696d3d75ac06fe42b5a12e84a8e2172afbe9f711cd5fef9ab11"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TYVQNTXVXPDCJDRZBFOWGKMY4I/bundle.json","state_url":"https://pith.science/pith/TYVQNTXVXPDCJDRZBFOWGKMY4I/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TYVQNTXVXPDCJDRZBFOWGKMY4I/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-13T00:40:01Z","links":{"resolver":"https://pith.science/pith/TYVQNTXVXPDCJDRZBFOWGKMY4I","bundle":"https://pith.science/pith/TYVQNTXVXPDCJDRZBFOWGKMY4I/bundle.json","state":"https://pith.science/pith/TYVQNTXVXPDCJDRZBFOWGKMY4I/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TYVQNTXVXPDCJDRZBFOWGKMY4I/bundle.json"},"state":{"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"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3YJ4L0M+Yg9z6nsG1FjYZtrd0HL+re9H1N4B5azyRL1XVNaBaRK3qL0QzVlQPfi2nteni9jXBaFh4ocHWl+GBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-13T00:40:01.984092Z","bundle_sha256":"717bd21e636f43d643a5b2a2cc1d1c5856f13ad3a7103c8c0d67b811e5ec2b8b"}}