{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:7QA43LNUHDZJOBLGG2TJI5Z5BT","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":"9d5a6fd466df2e5884a23b0872c33de5a8214ed8d6d82f29c9596248244cf910","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-04-12T17:29:22Z","title_canon_sha256":"0cee38124585269859f1e773889bcd0915d286637e53f6ee4075c1bbec07a131"},"schema_version":"1.0","source":{"id":"1804.04639","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.04639","created_at":"2026-05-18T00:11:34Z"},{"alias_kind":"arxiv_version","alias_value":"1804.04639v2","created_at":"2026-05-18T00:11:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.04639","created_at":"2026-05-18T00:11:34Z"},{"alias_kind":"pith_short_12","alias_value":"7QA43LNUHDZJ","created_at":"2026-05-18T12:32:11Z"},{"alias_kind":"pith_short_16","alias_value":"7QA43LNUHDZJOBLG","created_at":"2026-05-18T12:32:11Z"},{"alias_kind":"pith_short_8","alias_value":"7QA43LNU","created_at":"2026-05-18T12:32:11Z"}],"graph_snapshots":[{"event_id":"sha256:9fbcedc3d86268c9fc05e5f5f7ee55fe54d1fb875bb1c65efdcf1f144a177a93","target":"graph","created_at":"2026-05-18T00:11:34Z","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 perform a first step analysis toward generalization of the classification of N=4 linear quiver gauge theories by Gaiotto and Witten including Chern-Simons interaction. For this we investigate minimal N=4 U(N_1)_k x U(N_2)_{-k} Chern-Simons theories and their superconformal indices. In the previous publication we analyzed the three-sphere partition function of the theories, which implies that the theory is good/ugly/bad if k-N_1-N_2 is greater than/equal to/smaller than -1. In this paper we verify that this classification is consistent with the behavior of the superconformal index. We compar","authors_text":"Shuichi Yokoyama, Tomoki Nosaka","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-04-12T17:29:22Z","title":"Index and duality of minimal N=4 Chern-Simons-matter theories"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.04639","kind":"arxiv","version":2},"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":"sha256:873711cfcabb856c29a41caf573856fe732bef4e11d53a3a28d0afac62761018","target":"record","created_at":"2026-05-18T00:11:34Z","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":"9d5a6fd466df2e5884a23b0872c33de5a8214ed8d6d82f29c9596248244cf910","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-04-12T17:29:22Z","title_canon_sha256":"0cee38124585269859f1e773889bcd0915d286637e53f6ee4075c1bbec07a131"},"schema_version":"1.0","source":{"id":"1804.04639","kind":"arxiv","version":2}},"canonical_sha256":"fc01cdadb438f297056636a694773d0cd76b521ef29a3d256283ae69a2da6f53","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fc01cdadb438f297056636a694773d0cd76b521ef29a3d256283ae69a2da6f53","first_computed_at":"2026-05-18T00:11:34.554691Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:11:34.554691Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Qjy3UA8MdM32pc0M0MthrDDQWyP1XvIdw3Vfmvt2+QFTQF/HWCN3UuqUkq2oik2Dx40eyCfXzp+1H2mLq7T7Dw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:11:34.555247Z","signed_message":"canonical_sha256_bytes"},"source_id":"1804.04639","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:873711cfcabb856c29a41caf573856fe732bef4e11d53a3a28d0afac62761018","sha256:9fbcedc3d86268c9fc05e5f5f7ee55fe54d1fb875bb1c65efdcf1f144a177a93"],"state_sha256":"4f56774cbe3b90f24b196f6563541166bd00ce201095cba3aff603d08a4a464d"}