{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:GT4U3XG23ICYKWKQ7VNE7STYKA","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":"ee6d87deb071146179c9803a733b8cef4bca8812f97c873fa0c79f7b18f66b10","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2023-10-09T18:00:00Z","title_canon_sha256":"3a04b7796f475811fa82aa38154b50f7e8245243c5b225ad0ef7efa3ed83fea0"},"schema_version":"1.0","source":{"id":"2310.06012","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2310.06012","created_at":"2026-07-05T08:31:42Z"},{"alias_kind":"arxiv_version","alias_value":"2310.06012v1","created_at":"2026-07-05T08:31:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2310.06012","created_at":"2026-07-05T08:31:42Z"},{"alias_kind":"pith_short_12","alias_value":"GT4U3XG23ICY","created_at":"2026-07-05T08:31:42Z"},{"alias_kind":"pith_short_16","alias_value":"GT4U3XG23ICYKWKQ","created_at":"2026-07-05T08:31:42Z"},{"alias_kind":"pith_short_8","alias_value":"GT4U3XG2","created_at":"2026-07-05T08:31:42Z"}],"graph_snapshots":[{"event_id":"sha256:62f03e24e0903d691cca8edd64fa7075eeb727c27f28e7a5d76fb4cf4a593bcf","target":"graph","created_at":"2026-07-05T08:31:42Z","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/2310.06012/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We provide a precise relation between an ensemble of Narain conformal field theories (CFTs) with central charge $c=n$, and a sum of $(U(1) \\times U(1))^n$ Chern-Simons theories on different handlebody topologies. We begin by reviewing the general relation of additive codes to Narain CFTs. Then we describe a holographic duality between any given Narain theory and a pure Chern-Simons theory on a handlebody manifold. We proceed to consider an ensemble of Narain theories, defined in terms of an ensemble of codes of length $n$ over ${\\mathbb Z}_k \\times {\\mathbb Z}_k$ for prime $k$. We show that av","authors_text":"Alfred D. Shapere, Anatoly Dymarsky, Ofer Aharony","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2023-10-09T18:00:00Z","title":"Holographic description of Narain CFTs and their code-based ensembles"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2310.06012","kind":"arxiv","version":1},"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:ac168acb4d4e8f1761f0c3811fb963f9049c6c5a2d1ca2267cdecd9b3539f650","target":"record","created_at":"2026-07-05T08:31:42Z","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":"ee6d87deb071146179c9803a733b8cef4bca8812f97c873fa0c79f7b18f66b10","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2023-10-09T18:00:00Z","title_canon_sha256":"3a04b7796f475811fa82aa38154b50f7e8245243c5b225ad0ef7efa3ed83fea0"},"schema_version":"1.0","source":{"id":"2310.06012","kind":"arxiv","version":1}},"canonical_sha256":"34f94ddcdada05855950fd5a4fca78500c9feaf228a5c8a45fce7351e7348d90","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"34f94ddcdada05855950fd5a4fca78500c9feaf228a5c8a45fce7351e7348d90","first_computed_at":"2026-07-05T08:31:42.278056Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:31:42.278056Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6IOx26SL1SlScRN+/BGnrwZKchxwre1gmwAkqMW/qBuqM3jgdG2ZImTlCpAnWheiUG8vgHT+prwtBeVIrxL7Dw==","signature_status":"signed_v1","signed_at":"2026-07-05T08:31:42.278567Z","signed_message":"canonical_sha256_bytes"},"source_id":"2310.06012","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ac168acb4d4e8f1761f0c3811fb963f9049c6c5a2d1ca2267cdecd9b3539f650","sha256:62f03e24e0903d691cca8edd64fa7075eeb727c27f28e7a5d76fb4cf4a593bcf"],"state_sha256":"cb5309fc687bd3812340b894e77d9247bbab4393c1903d7bae09048052fef03e"}