{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2021:NAXRM37BYXOYDABFWZOLGTFAQA","short_pith_number":"pith:NAXRM37B","canonical_record":{"source":{"id":"2110.14441","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2021-10-27T13:57:38Z","cross_cats_sorted":[],"title_canon_sha256":"04941a406c0ff8e35b916e8225ef9a3f19ef4fb54b543858bc300b571449f069","abstract_canon_sha256":"da79b239e7bbbd595a3f36a19b106a12c64d3b592a9b672309a169d4add07996"},"schema_version":"1.0"},"canonical_sha256":"682f166fe1c5dd818025b65cb34ca08030c5bd8dc30a9eab5bcee44991884f2d","source":{"kind":"arxiv","id":"2110.14441","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2110.14441","created_at":"2026-07-05T04:21:57Z"},{"alias_kind":"arxiv_version","alias_value":"2110.14441v3","created_at":"2026-07-05T04:21:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2110.14441","created_at":"2026-07-05T04:21:57Z"},{"alias_kind":"pith_short_12","alias_value":"NAXRM37BYXOY","created_at":"2026-07-05T04:21:57Z"},{"alias_kind":"pith_short_16","alias_value":"NAXRM37BYXOYDABF","created_at":"2026-07-05T04:21:57Z"},{"alias_kind":"pith_short_8","alias_value":"NAXRM37B","created_at":"2026-07-05T04:21:57Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2021:NAXRM37BYXOYDABFWZOLGTFAQA","target":"record","payload":{"canonical_record":{"source":{"id":"2110.14441","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2021-10-27T13:57:38Z","cross_cats_sorted":[],"title_canon_sha256":"04941a406c0ff8e35b916e8225ef9a3f19ef4fb54b543858bc300b571449f069","abstract_canon_sha256":"da79b239e7bbbd595a3f36a19b106a12c64d3b592a9b672309a169d4add07996"},"schema_version":"1.0"},"canonical_sha256":"682f166fe1c5dd818025b65cb34ca08030c5bd8dc30a9eab5bcee44991884f2d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T04:21:57.946714Z","signature_b64":"9gZ4wEYSGSan5BZkHttpo45XLPCxFTBn9w/P01dPA2JJ+e1PMC10bsW54qEGEixHFpl4tJSWwiriYfB8NwbfBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"682f166fe1c5dd818025b65cb34ca08030c5bd8dc30a9eab5bcee44991884f2d","last_reissued_at":"2026-07-05T04:21:57.946235Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T04:21:57.946235Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2110.14441","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T04:21:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"f8CQkVa9brhEDD6fo6ha3nxFNmKsdOfNUqAZEnPSjUB7hT2gr3bLX1yhSpOWYj/mf/SGMbYPKjzY5Iy427yFCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T22:46:47.960161Z"},"content_sha256":"e078bb3dd859091931cb30b4e9288e473eef027a03945e8532171f833834decd","schema_version":"1.0","event_id":"sha256:e078bb3dd859091931cb30b4e9288e473eef027a03945e8532171f833834decd"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2021:NAXRM37BYXOYDABFWZOLGTFAQA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Gauging Discrete Symmetries of $T_N$-theories in Five Dimensions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Bobby Acharya, Eirik Eik Svanes, Jiahua Tian, Marwan Najjar, Neil Lambert","submitted_at":"2021-10-27T13:57:38Z","abstract_excerpt":"We study the gauging of a discrete $\\mathbb{Z}_3$ symmetry in the five-dimensional superconformal $T_N$ theories. We argue that this leads to an infinite sequence of five-dimensional superconformal theories with either $E_6 \\times SU(N)$ or $SU(3)\\times SU(N)$ global symmetry group. In the $M$-theory realisation of $T_N$ theories as residing at the origin in the Calabi-Yau orbifolds ${\\mathbb{C}^3 \\over {\\mathbb{Z}_N \\times \\mathbb{Z}_N}}$ we identify the $\\mathbb{Z}_3$ symmetry geometrically and the new theories arise from $M$-theory on the non-Abelian orbifolds $({\\mathbb{C}^3 \\over {\\mathbb"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2110.14441","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2110.14441/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T04:21:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oUV0h+M2sxHppyqzZ5zb7NZRIF8eqkzFLlPGJuYF7L/a93pXVn9nXpoEb/Mur+lP5VIAx1Vwz9FazJNyVpLjAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T22:46:47.961568Z"},"content_sha256":"8fe95815d43f241772ae7500f6743c864d9f003a0a24c019a583c37dcad6765b","schema_version":"1.0","event_id":"sha256:8fe95815d43f241772ae7500f6743c864d9f003a0a24c019a583c37dcad6765b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NAXRM37BYXOYDABFWZOLGTFAQA/bundle.json","state_url":"https://pith.science/pith/NAXRM37BYXOYDABFWZOLGTFAQA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NAXRM37BYXOYDABFWZOLGTFAQA/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-12T22:46:47Z","links":{"resolver":"https://pith.science/pith/NAXRM37BYXOYDABFWZOLGTFAQA","bundle":"https://pith.science/pith/NAXRM37BYXOYDABFWZOLGTFAQA/bundle.json","state":"https://pith.science/pith/NAXRM37BYXOYDABFWZOLGTFAQA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NAXRM37BYXOYDABFWZOLGTFAQA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:NAXRM37BYXOYDABFWZOLGTFAQA","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":"da79b239e7bbbd595a3f36a19b106a12c64d3b592a9b672309a169d4add07996","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2021-10-27T13:57:38Z","title_canon_sha256":"04941a406c0ff8e35b916e8225ef9a3f19ef4fb54b543858bc300b571449f069"},"schema_version":"1.0","source":{"id":"2110.14441","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2110.14441","created_at":"2026-07-05T04:21:57Z"},{"alias_kind":"arxiv_version","alias_value":"2110.14441v3","created_at":"2026-07-05T04:21:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2110.14441","created_at":"2026-07-05T04:21:57Z"},{"alias_kind":"pith_short_12","alias_value":"NAXRM37BYXOY","created_at":"2026-07-05T04:21:57Z"},{"alias_kind":"pith_short_16","alias_value":"NAXRM37BYXOYDABF","created_at":"2026-07-05T04:21:57Z"},{"alias_kind":"pith_short_8","alias_value":"NAXRM37B","created_at":"2026-07-05T04:21:57Z"}],"graph_snapshots":[{"event_id":"sha256:8fe95815d43f241772ae7500f6743c864d9f003a0a24c019a583c37dcad6765b","target":"graph","created_at":"2026-07-05T04:21:57Z","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/2110.14441/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study the gauging of a discrete $\\mathbb{Z}_3$ symmetry in the five-dimensional superconformal $T_N$ theories. We argue that this leads to an infinite sequence of five-dimensional superconformal theories with either $E_6 \\times SU(N)$ or $SU(3)\\times SU(N)$ global symmetry group. In the $M$-theory realisation of $T_N$ theories as residing at the origin in the Calabi-Yau orbifolds ${\\mathbb{C}^3 \\over {\\mathbb{Z}_N \\times \\mathbb{Z}_N}}$ we identify the $\\mathbb{Z}_3$ symmetry geometrically and the new theories arise from $M$-theory on the non-Abelian orbifolds $({\\mathbb{C}^3 \\over {\\mathbb","authors_text":"Bobby Acharya, Eirik Eik Svanes, Jiahua Tian, Marwan Najjar, Neil Lambert","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2021-10-27T13:57:38Z","title":"Gauging Discrete Symmetries of $T_N$-theories in Five Dimensions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2110.14441","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:e078bb3dd859091931cb30b4e9288e473eef027a03945e8532171f833834decd","target":"record","created_at":"2026-07-05T04:21:57Z","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":"da79b239e7bbbd595a3f36a19b106a12c64d3b592a9b672309a169d4add07996","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2021-10-27T13:57:38Z","title_canon_sha256":"04941a406c0ff8e35b916e8225ef9a3f19ef4fb54b543858bc300b571449f069"},"schema_version":"1.0","source":{"id":"2110.14441","kind":"arxiv","version":3}},"canonical_sha256":"682f166fe1c5dd818025b65cb34ca08030c5bd8dc30a9eab5bcee44991884f2d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"682f166fe1c5dd818025b65cb34ca08030c5bd8dc30a9eab5bcee44991884f2d","first_computed_at":"2026-07-05T04:21:57.946235Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:21:57.946235Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9gZ4wEYSGSan5BZkHttpo45XLPCxFTBn9w/P01dPA2JJ+e1PMC10bsW54qEGEixHFpl4tJSWwiriYfB8NwbfBg==","signature_status":"signed_v1","signed_at":"2026-07-05T04:21:57.946714Z","signed_message":"canonical_sha256_bytes"},"source_id":"2110.14441","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e078bb3dd859091931cb30b4e9288e473eef027a03945e8532171f833834decd","sha256:8fe95815d43f241772ae7500f6743c864d9f003a0a24c019a583c37dcad6765b"],"state_sha256":"5bb53bccbad06769f983989f2b7330384cd7c6732e20aff79702139d884df938"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"txtkobiZly/VWD4k/h7bzl0U+0sbU50LXxhPQNaGhkDlwmuKx99lyGQXlVVH0hRh4kbmYua5ZXiNWPvfIA9wAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-12T22:46:47.975540Z","bundle_sha256":"6ebfaf8ba4249243d0bb239031295cc63140579acf0a5f49753a3c9f04397907"}}