{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:HEUZ5OPOH332DOE3ZMRSMK6CPS","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":"eeb85ab38b8a4a6c9876e4be6916943d11fa59b04d840b2f691760f8455691c4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2022-12-06T16:55:21Z","title_canon_sha256":"f6dd6eccf68892bfefb26ae67223a8842cdebe7647395e573264760afa9d58f8"},"schema_version":"1.0","source":{"id":"2212.03133","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2212.03133","created_at":"2026-07-05T05:23:04Z"},{"alias_kind":"arxiv_version","alias_value":"2212.03133v1","created_at":"2026-07-05T05:23:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2212.03133","created_at":"2026-07-05T05:23:04Z"},{"alias_kind":"pith_short_12","alias_value":"HEUZ5OPOH332","created_at":"2026-07-05T05:23:04Z"},{"alias_kind":"pith_short_16","alias_value":"HEUZ5OPOH332DOE3","created_at":"2026-07-05T05:23:04Z"},{"alias_kind":"pith_short_8","alias_value":"HEUZ5OPO","created_at":"2026-07-05T05:23:04Z"}],"graph_snapshots":[{"event_id":"sha256:49439c90b1ed320d8d1176f5628040dad2f901e6bbd1f1ff68c24ef1d6104225","target":"graph","created_at":"2026-07-05T05:23:04Z","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/2212.03133/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The class-S theories of type $E_8$ were analyzed in \\cite{Chacaltana:2018vhp}. The basic building blocks consisted of 49,836 isolated SCFTs (three-punctured spheres). In 244 cases, there were undetermined levels for the flavour symmetry current algebra. Here, we rectify that omission. Using S-duality and nilpotent Higgsing we compute the levels of 235 of the 244. There remain 9 three-punctured spheres with unknown levels. Along the way, we provide a detailed discussion of the Drinfeld-Sokolov reduction of the VOA, which captures various features of the Higgs branch RG flows arising from giving","authors_text":"Grant Elliot, Jacques Distler","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2022-12-06T16:55:21Z","title":"Current Algebra Levels in the $E_8$ Theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2212.03133","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":"sha256:7150d3f5847697144da5049f89b8a1c22f02e81a12a4a426b043a093aab9a37c","target":"record","created_at":"2026-07-05T05:23:04Z","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":"eeb85ab38b8a4a6c9876e4be6916943d11fa59b04d840b2f691760f8455691c4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2022-12-06T16:55:21Z","title_canon_sha256":"f6dd6eccf68892bfefb26ae67223a8842cdebe7647395e573264760afa9d58f8"},"schema_version":"1.0","source":{"id":"2212.03133","kind":"arxiv","version":1}},"canonical_sha256":"39299eb9ee3ef7a1b89bcb23262bc27cbd584e21dbc8ede514dd7d9b7955170e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"39299eb9ee3ef7a1b89bcb23262bc27cbd584e21dbc8ede514dd7d9b7955170e","first_computed_at":"2026-07-05T05:23:04.141661Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:23:04.141661Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YM3KKma7zFE6/WVzChxL7dyMOsnUyQsUs6hpKDe06Yd7xeo6tGP7YoQdgtiEBVlJHVGWl6KAJTNRRvl3YltPDw==","signature_status":"signed_v1","signed_at":"2026-07-05T05:23:04.142048Z","signed_message":"canonical_sha256_bytes"},"source_id":"2212.03133","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7150d3f5847697144da5049f89b8a1c22f02e81a12a4a426b043a093aab9a37c","sha256:49439c90b1ed320d8d1176f5628040dad2f901e6bbd1f1ff68c24ef1d6104225"],"state_sha256":"8e5009b3184a225a65ec6ee9996d620162cc2a515a2940ea9ba05070922b0dfb"}