{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2022:4RVCRTHFNMERYWWND7LCJXHOOE","short_pith_number":"pith:4RVCRTHF","schema_version":"1.0","canonical_sha256":"e46a28cce56b091c5acd1fd624dcee7122c352588ba027867fbf4d2998245b31","source":{"kind":"arxiv","id":"2210.16738","version":2},"attestation_state":"computed","paper":{"title":"Construction of irregular conformal/W block and flavor mass relations of $\\mathcal{N}=2$ SUSY gauge theory from the $A_{n-1}$ quiver matrix model","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Hiroshi Itoyama, Reiji Yoshioka, Takeshi Oota","submitted_at":"2022-10-30T04:01:13Z","abstract_excerpt":"A sequence of massive scaling limits of the $\\beta$-deformed $A_{n-1}$ quiver matrix model that keeps the size of the matrices finite and that corresponds to the $N_{f} =2n \\rightarrow 2n-1, 2n-2$ limits on the number of flavors at 4d $su(n)$ ${\\cal N} = 2$ SUSY gauge theory side is carried out to provide us with the integral representation of $su(n)$ irregular conformal/W block. The original paths are naturally deformed into those in the complex plane, permitting us to convert into an $su(n)$ extension of the unitary matrix model of GWW type with a set of log potentials for all species of eig"},"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":"2210.16738","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2022-10-30T04:01:13Z","cross_cats_sorted":[],"title_canon_sha256":"e70df3732f6cc68e9f86fd0ba60c0efc6a5394f7c30e28a46e53771589b67c08","abstract_canon_sha256":"01d152f9b07f486bde2aa37db02107876e0840afd75856149392d9991cc1fe15"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:09:45.917437Z","signature_b64":"9tN1hkMv2a6317Bdzs6Gj0zeOfd94qh/+pb2273jsWdUIRcpkUgV0lozCaZicpcrDEQ1E5hsiuvYvdYRLN4zDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e46a28cce56b091c5acd1fd624dcee7122c352588ba027867fbf4d2998245b31","last_reissued_at":"2026-07-05T06:09:45.916949Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:09:45.916949Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Construction of irregular conformal/W block and flavor mass relations of $\\mathcal{N}=2$ SUSY gauge theory from the $A_{n-1}$ quiver matrix model","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Hiroshi Itoyama, Reiji Yoshioka, Takeshi Oota","submitted_at":"2022-10-30T04:01:13Z","abstract_excerpt":"A sequence of massive scaling limits of the $\\beta$-deformed $A_{n-1}$ quiver matrix model that keeps the size of the matrices finite and that corresponds to the $N_{f} =2n \\rightarrow 2n-1, 2n-2$ limits on the number of flavors at 4d $su(n)$ ${\\cal N} = 2$ SUSY gauge theory side is carried out to provide us with the integral representation of $su(n)$ irregular conformal/W block. The original paths are naturally deformed into those in the complex plane, permitting us to convert into an $su(n)$ extension of the unitary matrix model of GWW type with a set of log potentials for all species of eig"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2210.16738","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2210.16738/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2210.16738","created_at":"2026-07-05T06:09:45.917007+00:00"},{"alias_kind":"arxiv_version","alias_value":"2210.16738v2","created_at":"2026-07-05T06:09:45.917007+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2210.16738","created_at":"2026-07-05T06:09:45.917007+00:00"},{"alias_kind":"pith_short_12","alias_value":"4RVCRTHFNMER","created_at":"2026-07-05T06:09:45.917007+00:00"},{"alias_kind":"pith_short_16","alias_value":"4RVCRTHFNMERYWWN","created_at":"2026-07-05T06:09:45.917007+00:00"},{"alias_kind":"pith_short_8","alias_value":"4RVCRTHF","created_at":"2026-07-05T06:09:45.917007+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2608.03366","citing_title":"Notes on phase structure and non-vanishing $\\beta$ functions of one-unitary matrix model","ref_index":10,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/4RVCRTHFNMERYWWND7LCJXHOOE","json":"https://pith.science/pith/4RVCRTHFNMERYWWND7LCJXHOOE.json","graph_json":"https://pith.science/api/pith-number/4RVCRTHFNMERYWWND7LCJXHOOE/graph.json","events_json":"https://pith.science/api/pith-number/4RVCRTHFNMERYWWND7LCJXHOOE/events.json","paper":"https://pith.science/paper/4RVCRTHF"},"agent_actions":{"view_html":"https://pith.science/pith/4RVCRTHFNMERYWWND7LCJXHOOE","download_json":"https://pith.science/pith/4RVCRTHFNMERYWWND7LCJXHOOE.json","view_paper":"https://pith.science/paper/4RVCRTHF","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2210.16738&json=true","fetch_graph":"https://pith.science/api/pith-number/4RVCRTHFNMERYWWND7LCJXHOOE/graph.json","fetch_events":"https://pith.science/api/pith-number/4RVCRTHFNMERYWWND7LCJXHOOE/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/4RVCRTHFNMERYWWND7LCJXHOOE/action/timestamp_anchor","attest_storage":"https://pith.science/pith/4RVCRTHFNMERYWWND7LCJXHOOE/action/storage_attestation","attest_author":"https://pith.science/pith/4RVCRTHFNMERYWWND7LCJXHOOE/action/author_attestation","sign_citation":"https://pith.science/pith/4RVCRTHFNMERYWWND7LCJXHOOE/action/citation_signature","submit_replication":"https://pith.science/pith/4RVCRTHFNMERYWWND7LCJXHOOE/action/replication_record"}},"created_at":"2026-07-05T06:09:45.917007+00:00","updated_at":"2026-07-05T06:09:45.917007+00:00"}