{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:JP2PRFAUNJDW5C2SOREUHQVEZQ","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":"e60ef124e05a796d6087b2cc4add6ddbc08f5c76087bb51e50371d0d6bce993a","cross_cats_sorted":["cond-mat.str-el","hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2022-12-08T18:59:59Z","title_canon_sha256":"439f0028c5c49ee66e1e93d54efdd1e546a097cdb7543986b937a7a6e4507246"},"schema_version":"1.0","source":{"id":"2212.04499","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2212.04499","created_at":"2026-07-05T06:51:21Z"},{"alias_kind":"arxiv_version","alias_value":"2212.04499v3","created_at":"2026-07-05T06:51:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2212.04499","created_at":"2026-07-05T06:51:21Z"},{"alias_kind":"pith_short_12","alias_value":"JP2PRFAUNJDW","created_at":"2026-07-05T06:51:21Z"},{"alias_kind":"pith_short_16","alias_value":"JP2PRFAUNJDW5C2S","created_at":"2026-07-05T06:51:21Z"},{"alias_kind":"pith_short_8","alias_value":"JP2PRFAU","created_at":"2026-07-05T06:51:21Z"}],"graph_snapshots":[{"event_id":"sha256:bbf2a48bb7337578c3aa21502335ef197ee08c43e566c98f446c72060d0eadfa","target":"graph","created_at":"2026-07-05T06:51:21Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2212.04499/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In axion-Maxwell theory at the minimal axion-photon coupling, we find non-invertible 0- and 1-form global symmetries arising from the naive shift and center symmetries. Since the Gauss law is anomalous, there is no conserved, gauge-invariant, and quantized electric charge. Rather, using half higher gauging, we find a non-invertible Gauss law associated with a non-invertible 1-form global symmetry, which is related to the Page charge. These symmetries act invertibly on the axion field and Wilson line, but non-invertibly on the monopoles and axion strings, leading to selection rules related to t","authors_text":"Ho Tat Lam, Shu-Heng Shao, Yichul Choi","cross_cats":["cond-mat.str-el","hep-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2022-12-08T18:59:59Z","title":"Non-Invertible Gauss Law and Axions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2212.04499","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:dc78231b305078f80c8b7fe3e21fdd76736cf0c8a29826b2fd6b975b018d4ff8","target":"record","created_at":"2026-07-05T06:51:21Z","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":"e60ef124e05a796d6087b2cc4add6ddbc08f5c76087bb51e50371d0d6bce993a","cross_cats_sorted":["cond-mat.str-el","hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2022-12-08T18:59:59Z","title_canon_sha256":"439f0028c5c49ee66e1e93d54efdd1e546a097cdb7543986b937a7a6e4507246"},"schema_version":"1.0","source":{"id":"2212.04499","kind":"arxiv","version":3}},"canonical_sha256":"4bf4f894146a476e8b52744943c2a4cc19936e19c27bb4be38d066cdc59a19a3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4bf4f894146a476e8b52744943c2a4cc19936e19c27bb4be38d066cdc59a19a3","first_computed_at":"2026-07-05T06:51:21.085511Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:51:21.085511Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"QL880U+SNHxmIIInTx1wqby2hPQrtYXqW6J2KLNQvVfKv/BZcPMShYNqDqYlhhMiwAS9zlqkF66iMUbutsFhDA==","signature_status":"signed_v1","signed_at":"2026-07-05T06:51:21.086144Z","signed_message":"canonical_sha256_bytes"},"source_id":"2212.04499","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dc78231b305078f80c8b7fe3e21fdd76736cf0c8a29826b2fd6b975b018d4ff8","sha256:bbf2a48bb7337578c3aa21502335ef197ee08c43e566c98f446c72060d0eadfa"],"state_sha256":"e1b50041dc36410b0afc74869dce73eeed6dab8c27441f8df8101122902cf2a3"}