{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:E7GVUDOGZIE4YB7DEUZW3SZCBL","short_pith_number":"pith:E7GVUDOG","schema_version":"1.0","canonical_sha256":"27cd5a0dc6ca09cc07e325336dcb220ac9568d74af9543877d6dbdee33aa5b4e","source":{"kind":"arxiv","id":"1410.6868","version":2},"attestation_state":"computed","paper":{"title":"Mass-deformed $T_N$ as a linear quiver","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Hirotaka Hayashi, Kazuya Yonekura, Yuji Tachikawa","submitted_at":"2014-10-25T02:05:23Z","abstract_excerpt":"The $T_N$ theory is a non-Lagrangian theory with SU(N) flavor symmetry. We argue that when mass terms are given so that two of SU(N)'s are both broken to SU(N-1) x U(1), it becomes $T_{N-1}$ theory coupled to an SU(N-1) vector multiplet together with N fundamentals. This implies that when two of SU(N)'s are both broken to U(1)$^{N-1}$, the theory becomes a linear quiver.\n  We perform various checks of this statement, by using the 5d partition function, the structure of the coupling constants, the Higgs branch, and the Seiberg-Witten curve. We also study the case with more general punctures."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1410.6868","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-10-25T02:05:23Z","cross_cats_sorted":[],"title_canon_sha256":"9460c7332971f0a67efee47a9f40f8b8970cee7dd69395fefd74f85ff525a733","abstract_canon_sha256":"0d08fd4a408f675a8b340cb6dbbd353b31c24949268f4395cb3c1b4abaf7570f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:41:39.990821Z","signature_b64":"5a+j+qvMj0Nw/ZXZ4ZfBY7VrD5lOlIP8uQ7voD4M/ViijgZ9pXjIQBRQTmHZ2gCzwC8ZWmNlJPANfFo2zY7HBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"27cd5a0dc6ca09cc07e325336dcb220ac9568d74af9543877d6dbdee33aa5b4e","last_reissued_at":"2026-05-18T01:41:39.990207Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:41:39.990207Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Mass-deformed $T_N$ as a linear quiver","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Hirotaka Hayashi, Kazuya Yonekura, Yuji Tachikawa","submitted_at":"2014-10-25T02:05:23Z","abstract_excerpt":"The $T_N$ theory is a non-Lagrangian theory with SU(N) flavor symmetry. We argue that when mass terms are given so that two of SU(N)'s are both broken to SU(N-1) x U(1), it becomes $T_{N-1}$ theory coupled to an SU(N-1) vector multiplet together with N fundamentals. This implies that when two of SU(N)'s are both broken to U(1)$^{N-1}$, the theory becomes a linear quiver.\n  We perform various checks of this statement, by using the 5d partition function, the structure of the coupling constants, the Higgs branch, and the Seiberg-Witten curve. We also study the case with more general punctures."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.6868","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1410.6868","created_at":"2026-05-18T01:41:39.990327+00:00"},{"alias_kind":"arxiv_version","alias_value":"1410.6868v2","created_at":"2026-05-18T01:41:39.990327+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1410.6868","created_at":"2026-05-18T01:41:39.990327+00:00"},{"alias_kind":"pith_short_12","alias_value":"E7GVUDOGZIE4","created_at":"2026-05-18T12:28:25.294606+00:00"},{"alias_kind":"pith_short_16","alias_value":"E7GVUDOGZIE4YB7D","created_at":"2026-05-18T12:28:25.294606+00:00"},{"alias_kind":"pith_short_8","alias_value":"E7GVUDOG","created_at":"2026-05-18T12:28:25.294606+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/E7GVUDOGZIE4YB7DEUZW3SZCBL","json":"https://pith.science/pith/E7GVUDOGZIE4YB7DEUZW3SZCBL.json","graph_json":"https://pith.science/api/pith-number/E7GVUDOGZIE4YB7DEUZW3SZCBL/graph.json","events_json":"https://pith.science/api/pith-number/E7GVUDOGZIE4YB7DEUZW3SZCBL/events.json","paper":"https://pith.science/paper/E7GVUDOG"},"agent_actions":{"view_html":"https://pith.science/pith/E7GVUDOGZIE4YB7DEUZW3SZCBL","download_json":"https://pith.science/pith/E7GVUDOGZIE4YB7DEUZW3SZCBL.json","view_paper":"https://pith.science/paper/E7GVUDOG","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1410.6868&json=true","fetch_graph":"https://pith.science/api/pith-number/E7GVUDOGZIE4YB7DEUZW3SZCBL/graph.json","fetch_events":"https://pith.science/api/pith-number/E7GVUDOGZIE4YB7DEUZW3SZCBL/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/E7GVUDOGZIE4YB7DEUZW3SZCBL/action/timestamp_anchor","attest_storage":"https://pith.science/pith/E7GVUDOGZIE4YB7DEUZW3SZCBL/action/storage_attestation","attest_author":"https://pith.science/pith/E7GVUDOGZIE4YB7DEUZW3SZCBL/action/author_attestation","sign_citation":"https://pith.science/pith/E7GVUDOGZIE4YB7DEUZW3SZCBL/action/citation_signature","submit_replication":"https://pith.science/pith/E7GVUDOGZIE4YB7DEUZW3SZCBL/action/replication_record"}},"created_at":"2026-05-18T01:41:39.990327+00:00","updated_at":"2026-05-18T01:41:39.990327+00:00"}