{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:DIXYTRLNWM66VLWZMMXOOZ3ZYH","short_pith_number":"pith:DIXYTRLN","schema_version":"1.0","canonical_sha256":"1a2f89c56db33deaaed9632ee76779c1e6dbe82baca047acf5d51b7bdac8efd3","source":{"kind":"arxiv","id":"1709.08653","version":2},"attestation_state":"computed","paper":{"title":"Notes on Integral Identities for 3d Supersymmetric Dualities","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Antonio Amariti, Nezhla Aghaei, Yuta Sekiguchi","submitted_at":"2017-09-25T18:02:03Z","abstract_excerpt":"Four dimensional $\\mathcal{N}=2$ Argyres-Douglas theories have been recently conjectured to be described by $\\mathcal{N}=1$ Lagrangian theories. Such models, once reduced to 3d, should be mirror dual to Lagrangian $\\mathcal{N}=4$ theories. This has been numerically checked through the matching of the partition functions on the three sphere. In this article, we provide an analytic derivation for this result in the $A_n$ case via hyperbolic hypergeometric integrals. We study the $D_4$ case as well, commenting on some open questions and possible resolutions. In the second part of the paper we dis"},"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":"1709.08653","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-09-25T18:02:03Z","cross_cats_sorted":[],"title_canon_sha256":"ed0e20e8759c51b84f1c3423593e00e0619f0b497ee9770b57ac09b9d26075cd","abstract_canon_sha256":"36e4c9e107093da1ac481bfd56ad7eb433dc959fc25fecb498ada5c0184ca866"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:16:31.256215Z","signature_b64":"u3h3xzZSS05CC/d229JeTxCy1Wxf/K7JleEgw7WNi1amrWcvNTV7wTn9zywTbo9T+xz1QU6vytz+JuenePtkBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1a2f89c56db33deaaed9632ee76779c1e6dbe82baca047acf5d51b7bdac8efd3","last_reissued_at":"2026-05-18T00:16:31.255750Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:16:31.255750Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Notes on Integral Identities for 3d Supersymmetric Dualities","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Antonio Amariti, Nezhla Aghaei, Yuta Sekiguchi","submitted_at":"2017-09-25T18:02:03Z","abstract_excerpt":"Four dimensional $\\mathcal{N}=2$ Argyres-Douglas theories have been recently conjectured to be described by $\\mathcal{N}=1$ Lagrangian theories. Such models, once reduced to 3d, should be mirror dual to Lagrangian $\\mathcal{N}=4$ theories. This has been numerically checked through the matching of the partition functions on the three sphere. In this article, we provide an analytic derivation for this result in the $A_n$ case via hyperbolic hypergeometric integrals. We study the $D_4$ case as well, commenting on some open questions and possible resolutions. In the second part of the paper we dis"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1709.08653","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":"1709.08653","created_at":"2026-05-18T00:16:31.255819+00:00"},{"alias_kind":"arxiv_version","alias_value":"1709.08653v2","created_at":"2026-05-18T00:16:31.255819+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1709.08653","created_at":"2026-05-18T00:16:31.255819+00:00"},{"alias_kind":"pith_short_12","alias_value":"DIXYTRLNWM66","created_at":"2026-05-18T12:31:10.602751+00:00"},{"alias_kind":"pith_short_16","alias_value":"DIXYTRLNWM66VLWZ","created_at":"2026-05-18T12:31:10.602751+00:00"},{"alias_kind":"pith_short_8","alias_value":"DIXYTRLN","created_at":"2026-05-18T12:31:10.602751+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2604.27066","citing_title":"Perturbative Coulomb branches on $\\mathbb{R}^3\\times S^1$: the global D-term potential","ref_index":52,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/DIXYTRLNWM66VLWZMMXOOZ3ZYH","json":"https://pith.science/pith/DIXYTRLNWM66VLWZMMXOOZ3ZYH.json","graph_json":"https://pith.science/api/pith-number/DIXYTRLNWM66VLWZMMXOOZ3ZYH/graph.json","events_json":"https://pith.science/api/pith-number/DIXYTRLNWM66VLWZMMXOOZ3ZYH/events.json","paper":"https://pith.science/paper/DIXYTRLN"},"agent_actions":{"view_html":"https://pith.science/pith/DIXYTRLNWM66VLWZMMXOOZ3ZYH","download_json":"https://pith.science/pith/DIXYTRLNWM66VLWZMMXOOZ3ZYH.json","view_paper":"https://pith.science/paper/DIXYTRLN","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1709.08653&json=true","fetch_graph":"https://pith.science/api/pith-number/DIXYTRLNWM66VLWZMMXOOZ3ZYH/graph.json","fetch_events":"https://pith.science/api/pith-number/DIXYTRLNWM66VLWZMMXOOZ3ZYH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/DIXYTRLNWM66VLWZMMXOOZ3ZYH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/DIXYTRLNWM66VLWZMMXOOZ3ZYH/action/storage_attestation","attest_author":"https://pith.science/pith/DIXYTRLNWM66VLWZMMXOOZ3ZYH/action/author_attestation","sign_citation":"https://pith.science/pith/DIXYTRLNWM66VLWZMMXOOZ3ZYH/action/citation_signature","submit_replication":"https://pith.science/pith/DIXYTRLNWM66VLWZMMXOOZ3ZYH/action/replication_record"}},"created_at":"2026-05-18T00:16:31.255819+00:00","updated_at":"2026-05-18T00:16:31.255819+00:00"}