{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:TYVEJCRE73JQ27DDA4QUOBZT2O","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":"a0407abd86c2e7fc5554350842d345bbbe3d1d9d74c1a7debaf91136fc381f28","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-12-19T21:00:07Z","title_canon_sha256":"8e99a370154220c0bc5692e392ea7887e091ac3956346878bdd07625e6b0a1f6"},"schema_version":"1.0","source":{"id":"1312.5746","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1312.5746","created_at":"2026-05-18T01:45:43Z"},{"alias_kind":"arxiv_version","alias_value":"1312.5746v3","created_at":"2026-05-18T01:45:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.5746","created_at":"2026-05-18T01:45:43Z"},{"alias_kind":"pith_short_12","alias_value":"TYVEJCRE73JQ","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_16","alias_value":"TYVEJCRE73JQ27DD","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_8","alias_value":"TYVEJCRE","created_at":"2026-05-18T12:28:02Z"}],"graph_snapshots":[{"event_id":"sha256:a5ec4a8a2795a70b7827629c7ed65a6b2114c637ce5247fc4063b76671d0851b","target":"graph","created_at":"2026-05-18T01:45:43Z","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"},"paper":{"abstract_excerpt":"We study (1,0) and (2,0) 6D superconformal field theories (SCFTs) that can be constructed in F-theory. Quite surprisingly, all of them involve an orbifold singularity C^2 / G with G a discrete subgroup of U(2). When G is a subgroup of SU(2), all discrete subgroups are allowed, and this leads to the familiar ADE classification of (2,0) SCFTs. For more general U(2) subgroups, the allowed possibilities for G are not arbitrary and are given by certain generalizations of the A- and D-series. These theories should be viewed as the minimal 6D SCFTs. We obtain all other SCFTs by bringing in a number o","authors_text":"Cumrun Vafa, David R. Morrison, Jonathan J. Heckman","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-12-19T21:00:07Z","title":"On the Classification of 6D SCFTs and Generalized ADE Orbifolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.5746","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:e29c2c66c426ddf2e761df36f288816436b1837fd3d8a5c488f2eb8c551b6330","target":"record","created_at":"2026-05-18T01:45:43Z","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":"a0407abd86c2e7fc5554350842d345bbbe3d1d9d74c1a7debaf91136fc381f28","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-12-19T21:00:07Z","title_canon_sha256":"8e99a370154220c0bc5692e392ea7887e091ac3956346878bdd07625e6b0a1f6"},"schema_version":"1.0","source":{"id":"1312.5746","kind":"arxiv","version":3}},"canonical_sha256":"9e2a448a24fed30d7c630721470733d3bfffc179c2e15c77b1d880c287c79458","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9e2a448a24fed30d7c630721470733d3bfffc179c2e15c77b1d880c287c79458","first_computed_at":"2026-05-18T01:45:43.676803Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:45:43.676803Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"f/nTYYU7lXGSnxzVx58gxGhC8KJbeNb/2CRzcUEerm82ggDZ9428Nara2ISZKBAiEi+j6Q6KvM1TbEeJheYfCg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:45:43.677485Z","signed_message":"canonical_sha256_bytes"},"source_id":"1312.5746","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e29c2c66c426ddf2e761df36f288816436b1837fd3d8a5c488f2eb8c551b6330","sha256:a5ec4a8a2795a70b7827629c7ed65a6b2114c637ce5247fc4063b76671d0851b"],"state_sha256":"2ee99b83afa724912a4ddade42fb4643abc2e69d9ccf1eff19776ea7a4aaca7c"}