{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:ETC7RYO6SHEJD4K2QP5AN373UC","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":"3dc7691073df19c3628a5b22420b71bec3763e754d34a5978a25fc610549ca0e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2021-12-19T19:00:05Z","title_canon_sha256":"588d0831e9dafb1f4b5a821132d510c81662ea379808afb606654da082f2cb60"},"schema_version":"1.0","source":{"id":"2112.10227","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2112.10227","created_at":"2026-07-05T03:42:12Z"},{"alias_kind":"arxiv_version","alias_value":"2112.10227v1","created_at":"2026-07-05T03:42:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2112.10227","created_at":"2026-07-05T03:42:12Z"},{"alias_kind":"pith_short_12","alias_value":"ETC7RYO6SHEJ","created_at":"2026-07-05T03:42:12Z"},{"alias_kind":"pith_short_16","alias_value":"ETC7RYO6SHEJD4K2","created_at":"2026-07-05T03:42:12Z"},{"alias_kind":"pith_short_8","alias_value":"ETC7RYO6","created_at":"2026-07-05T03:42:12Z"}],"graph_snapshots":[{"event_id":"sha256:957b6b7e1bccf65807bbd45decbf016e4b31157adc89ef15eae85a3370fb08bb","target":"graph","created_at":"2026-07-05T03:42:12Z","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/2112.10227/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study theories of type $D_4$ in class-S, with nonabelian outer-automorphism twists around various cycles of the punctured Riemann surface $C$. We propose an extension of previous formul\\ae\\ for the superconformal index to cover this case and classify the SCFTs corresponding to fixtures (3-punctured spheres). We then go on to study families of SCFTs corresponding to once-punctured tori and 4-punctured spheres. These exhibit new behaviours, not seen in previous investigations. In particular, the generic theory with 4 punctures on the sphere from non-commuting $\\mathbb{Z}_2$ twisted sectors ha","authors_text":"Ali Shehper, Behzat Ergun, Jacques Distler","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2021-12-19T19:00:05Z","title":"Nonabelian Twists of the $D_4$ Theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2112.10227","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":"sha256:8b91898cb1e72ce4f88ca00f452463accd69dca5ebd4f340743bde702f4a6244","target":"record","created_at":"2026-07-05T03:42:12Z","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":"3dc7691073df19c3628a5b22420b71bec3763e754d34a5978a25fc610549ca0e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2021-12-19T19:00:05Z","title_canon_sha256":"588d0831e9dafb1f4b5a821132d510c81662ea379808afb606654da082f2cb60"},"schema_version":"1.0","source":{"id":"2112.10227","kind":"arxiv","version":1}},"canonical_sha256":"24c5f8e1de91c891f15a83fa06effba0b6a3744d3ed737af6d4369b9384a1101","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"24c5f8e1de91c891f15a83fa06effba0b6a3744d3ed737af6d4369b9384a1101","first_computed_at":"2026-07-05T03:42:12.618915Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:42:12.618915Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"IagJMZzs/D8wL/3yCEex6dULYJF/AkjJJ094ESBFJfd5GJVKuQzmFJjmcQXOPY2xqkDPfWNB7QDaRXHZHIOPCw==","signature_status":"signed_v1","signed_at":"2026-07-05T03:42:12.619256Z","signed_message":"canonical_sha256_bytes"},"source_id":"2112.10227","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8b91898cb1e72ce4f88ca00f452463accd69dca5ebd4f340743bde702f4a6244","sha256:957b6b7e1bccf65807bbd45decbf016e4b31157adc89ef15eae85a3370fb08bb"],"state_sha256":"54f2cbe954e34ca787197ffa8875b6edfc71381f294f3fcf7bbe5473a223ad9a"}