{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:FSQONTODS77VUVKFM6AH4MJDS2","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":"b26db2e02e27b1950f13ffb19523fd7837ec56bc7ae3b067f57d219b477f977b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-03-20T20:00:21Z","title_canon_sha256":"bd8a2cc3bbf205265bb4b92d34b5e45febe278b721c82e1b71fba8de9531d103"},"schema_version":"1.0","source":{"id":"1503.06217","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1503.06217","created_at":"2026-05-18T02:20:39Z"},{"alias_kind":"arxiv_version","alias_value":"1503.06217v1","created_at":"2026-05-18T02:20:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.06217","created_at":"2026-05-18T02:20:39Z"},{"alias_kind":"pith_short_12","alias_value":"FSQONTODS77V","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_16","alias_value":"FSQONTODS77VUVKF","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_8","alias_value":"FSQONTOD","created_at":"2026-05-18T12:29:22Z"}],"graph_snapshots":[{"event_id":"sha256:aa33da75de7bd0ca22c906dc80c8ffe7f9dc22dda6f384f070963dc5ca52e999","target":"graph","created_at":"2026-05-18T02:20:39Z","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 show that the $\\mathcal{N}=(1,0)$ superconformal theory on a single M5 brane on the ALE space of type $G=A_n, D_n, E_n$, when compactified on $T^2$, becomes a class S theory of type $G$ on a sphere with two full punctures and a simple puncture. We study this relation from various viewpoints. Along the way, we develop a new method to study the 4d SCFT arising from the $T^2$ compactification of a class of 6d $\\mathcal{N}=(1,0)$ theories we call very Higgsable.","authors_text":"Hiroyuki Shimizu, Kantaro Ohmori, Kazuya Yonekura, Yuji Tachikawa","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-03-20T20:00:21Z","title":"6d $\\mathcal{N}=(1,0)$ theories on $T^2$ and class S theories: part I"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.06217","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":"sha256:7f4e8b8f534939af568c6c670528e101d5aade9bee692db04698c3aadccd6569","target":"record","created_at":"2026-05-18T02:20:39Z","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":"b26db2e02e27b1950f13ffb19523fd7837ec56bc7ae3b067f57d219b477f977b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-03-20T20:00:21Z","title_canon_sha256":"bd8a2cc3bbf205265bb4b92d34b5e45febe278b721c82e1b71fba8de9531d103"},"schema_version":"1.0","source":{"id":"1503.06217","kind":"arxiv","version":1}},"canonical_sha256":"2ca0e6cdc397ff5a554567807e312396bc43934950e3c377d9839e1c45526ad8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2ca0e6cdc397ff5a554567807e312396bc43934950e3c377d9839e1c45526ad8","first_computed_at":"2026-05-18T02:20:39.051025Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:20:39.051025Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"MIJ//hfHxGmP8JMBCLvlDSvsrAsNgnI8thQX6A4akcRFW8+PEh71TF8fEx2VSizvhcnzdYHGfWhASI2rAvy5Dw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:20:39.051632Z","signed_message":"canonical_sha256_bytes"},"source_id":"1503.06217","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7f4e8b8f534939af568c6c670528e101d5aade9bee692db04698c3aadccd6569","sha256:aa33da75de7bd0ca22c906dc80c8ffe7f9dc22dda6f384f070963dc5ca52e999"],"state_sha256":"991a949e2dea85ab09627dc8878b5773a11bde2a3ce14a6218db2eb6b522d0d4"}