{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:JEBOHJGPUDEJJEFT65D5INMN5L","short_pith_number":"pith:JEBOHJGP","schema_version":"1.0","canonical_sha256":"4902e3a4cfa0c89490b3f747d4358deac79d46c6960654352d0ed45fb0c79a17","source":{"kind":"arxiv","id":"2406.12075","version":1},"attestation_state":"computed","paper":{"title":"Gauging C on the Lattice","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-lat"],"primary_cat":"hep-th","authors_text":"Theodore Jacobson","submitted_at":"2024-06-17T20:24:35Z","abstract_excerpt":"We discuss general aspects of charge conjugation symmetry in Euclidean lattice field theories, including its dynamical gauging. Our main focus is $O(2) = U(1)\\rtimes \\mathbb{Z}_2 $ gauge theory, which we construct using a non-abelian generalization of the Villain formulation via gauging the charge conjugation symmetry of pure $U(1)$ gauge theory. We describe how to construct gauge-invariant non-local operators in a theory with gauged charge conjugation symmetry, and use it to define Wilson and 't Hooft lines as well as non-invertible symmetry operators. Our lattice discretization preserves the"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2406.12075","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2024-06-17T20:24:35Z","cross_cats_sorted":["hep-lat"],"title_canon_sha256":"60d67d9c9e82389f78cf9ec952aa5e437e820ecc1a52976347a9911ccc25f39a","abstract_canon_sha256":"bae2bb3398abfdcced1b9373b7abc99a09a7626d39674c0ae8d97c470ce5e9d8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:33:06.064640Z","signature_b64":"Se65x0iHHVEiDAljn13NpKXfnAa+ClZSsAvDbUxEXFq4jzwd+Td1bmh3+qE69AX1FzCkcxw3mES32+VN7RnDBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4902e3a4cfa0c89490b3f747d4358deac79d46c6960654352d0ed45fb0c79a17","last_reissued_at":"2026-07-05T08:33:06.064133Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:33:06.064133Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Gauging C on the Lattice","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-lat"],"primary_cat":"hep-th","authors_text":"Theodore Jacobson","submitted_at":"2024-06-17T20:24:35Z","abstract_excerpt":"We discuss general aspects of charge conjugation symmetry in Euclidean lattice field theories, including its dynamical gauging. Our main focus is $O(2) = U(1)\\rtimes \\mathbb{Z}_2 $ gauge theory, which we construct using a non-abelian generalization of the Villain formulation via gauging the charge conjugation symmetry of pure $U(1)$ gauge theory. We describe how to construct gauge-invariant non-local operators in a theory with gauged charge conjugation symmetry, and use it to define Wilson and 't Hooft lines as well as non-invertible symmetry operators. Our lattice discretization preserves the"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2406.12075","kind":"arxiv","version":1},"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/2406.12075/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2406.12075","created_at":"2026-07-05T08:33:06.064195+00:00"},{"alias_kind":"arxiv_version","alias_value":"2406.12075v1","created_at":"2026-07-05T08:33:06.064195+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2406.12075","created_at":"2026-07-05T08:33:06.064195+00:00"},{"alias_kind":"pith_short_12","alias_value":"JEBOHJGPUDEJ","created_at":"2026-07-05T08:33:06.064195+00:00"},{"alias_kind":"pith_short_16","alias_value":"JEBOHJGPUDEJJEFT","created_at":"2026-07-05T08:33:06.064195+00:00"},{"alias_kind":"pith_short_8","alias_value":"JEBOHJGP","created_at":"2026-07-05T08:33:06.064195+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":4,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2606.11527","citing_title":"Invariants of Sequential Circuits and Generalized Non-Abelian Statistics","ref_index":99,"is_internal_anchor":false},{"citing_arxiv_id":"2605.19925","citing_title":"Stringy T-duality on the lattice and the twisted Villain model","ref_index":43,"is_internal_anchor":false},{"citing_arxiv_id":"2604.07293","citing_title":"Exotic theta terms in 2+1d fractonic field theory","ref_index":46,"is_internal_anchor":false},{"citing_arxiv_id":"2604.06307","citing_title":"Lattice chiral symmetry from bosons in 3+1d","ref_index":46,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/JEBOHJGPUDEJJEFT65D5INMN5L","json":"https://pith.science/pith/JEBOHJGPUDEJJEFT65D5INMN5L.json","graph_json":"https://pith.science/api/pith-number/JEBOHJGPUDEJJEFT65D5INMN5L/graph.json","events_json":"https://pith.science/api/pith-number/JEBOHJGPUDEJJEFT65D5INMN5L/events.json","paper":"https://pith.science/paper/JEBOHJGP"},"agent_actions":{"view_html":"https://pith.science/pith/JEBOHJGPUDEJJEFT65D5INMN5L","download_json":"https://pith.science/pith/JEBOHJGPUDEJJEFT65D5INMN5L.json","view_paper":"https://pith.science/paper/JEBOHJGP","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2406.12075&json=true","fetch_graph":"https://pith.science/api/pith-number/JEBOHJGPUDEJJEFT65D5INMN5L/graph.json","fetch_events":"https://pith.science/api/pith-number/JEBOHJGPUDEJJEFT65D5INMN5L/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/JEBOHJGPUDEJJEFT65D5INMN5L/action/timestamp_anchor","attest_storage":"https://pith.science/pith/JEBOHJGPUDEJJEFT65D5INMN5L/action/storage_attestation","attest_author":"https://pith.science/pith/JEBOHJGPUDEJJEFT65D5INMN5L/action/author_attestation","sign_citation":"https://pith.science/pith/JEBOHJGPUDEJJEFT65D5INMN5L/action/citation_signature","submit_replication":"https://pith.science/pith/JEBOHJGPUDEJJEFT65D5INMN5L/action/replication_record"}},"created_at":"2026-07-05T08:33:06.064195+00:00","updated_at":"2026-07-05T08:33:06.064195+00:00"}