{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:RX2ZUYBBH2V7CH36235RFNWFOT","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":"3ed4b13feb4b87519147ddfe23b73afa79415122255e55974a0ccbb8515ac22f","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2023-08-03T07:29:04Z","title_canon_sha256":"0c023aa3a4116a745390ce353893373a0414a38bf269f891d9143685b11d32ca"},"schema_version":"1.0","source":{"id":"2308.01579","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2308.01579","created_at":"2026-07-05T08:14:18Z"},{"alias_kind":"arxiv_version","alias_value":"2308.01579v4","created_at":"2026-07-05T08:14:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2308.01579","created_at":"2026-07-05T08:14:18Z"},{"alias_kind":"pith_short_12","alias_value":"RX2ZUYBBH2V7","created_at":"2026-07-05T08:14:18Z"},{"alias_kind":"pith_short_16","alias_value":"RX2ZUYBBH2V7CH36","created_at":"2026-07-05T08:14:18Z"},{"alias_kind":"pith_short_8","alias_value":"RX2ZUYBB","created_at":"2026-07-05T08:14:18Z"}],"graph_snapshots":[{"event_id":"sha256:3f9829b081a0ab2c5ecd39fa6b8ebbcc1d0e4ba588416b8f6be3221372ba5e67","target":"graph","created_at":"2026-07-05T08:14:18Z","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/2308.01579/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We investigate the gauging of a $\\mathbb{Z}_2$ symmetry in Narain conformal field theories (CFTs) constructed from qudit stabilizer codes. Considering both orbifold and fermionization, we establish a connection between $\\mathbb{Z}_2$ gauging procedures and modifications of the momentum lattice by vectors characterizing the $\\mathbb{Z}_2$ symmetry. We also provide three-dimensional interpretations of $\\mathbb{Z}_2$ gaugings through abelian Chern-Simons theories, which act as symmetry topological field theories.","authors_text":"Kohki Kawabata, Takuya Okuda, Tatsuma Nishioka","cross_cats":["quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2023-08-03T07:29:04Z","title":"Narain CFTs from quantum codes and their $\\mathbb{Z}_2$ gauging"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2308.01579","kind":"arxiv","version":4},"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":"sha256:00e2c2b0c4a945ecc7760f4db6fac71d84e200209fbc21fb2f5874ca0bced1c7","target":"record","created_at":"2026-07-05T08:14:18Z","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":"3ed4b13feb4b87519147ddfe23b73afa79415122255e55974a0ccbb8515ac22f","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2023-08-03T07:29:04Z","title_canon_sha256":"0c023aa3a4116a745390ce353893373a0414a38bf269f891d9143685b11d32ca"},"schema_version":"1.0","source":{"id":"2308.01579","kind":"arxiv","version":4}},"canonical_sha256":"8df59a60213eabf11f7ed6fb12b6c574e719b472cea05d6d566cfa833be3f194","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8df59a60213eabf11f7ed6fb12b6c574e719b472cea05d6d566cfa833be3f194","first_computed_at":"2026-07-05T08:14:18.391507Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:14:18.391507Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YE9sD3ElW9SJPgRwMAV/o8aTap4juqn9gSYp9bgue0ByHCq9MAGLwDzIRxeyuxVagXPA1f4uItYHJSzeJVkRDg==","signature_status":"signed_v1","signed_at":"2026-07-05T08:14:18.392031Z","signed_message":"canonical_sha256_bytes"},"source_id":"2308.01579","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:00e2c2b0c4a945ecc7760f4db6fac71d84e200209fbc21fb2f5874ca0bced1c7","sha256:3f9829b081a0ab2c5ecd39fa6b8ebbcc1d0e4ba588416b8f6be3221372ba5e67"],"state_sha256":"4b4ecc12d0e8e5fdcb289ff14775ca0621ee64b65b2fef4913ba577a556c7e94"}