{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:PCJV7GNDPAA5JNIQ76ZBALGLHV","short_pith_number":"pith:PCJV7GND","schema_version":"1.0","canonical_sha256":"78935f99a37801d4b510ffb2102ccb3d7e30433c1cd33b209595f1aeb1877da1","source":{"kind":"arxiv","id":"2502.01499","version":1},"attestation_state":"computed","paper":{"title":"Refined Painlev\\'e/gauge theory correspondence and quantum tau functions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","nlin.SI"],"primary_cat":"hep-th","authors_text":"A. Shchechkin, A. Tanzini, G. Bonelli","submitted_at":"2025-02-03T16:30:43Z","abstract_excerpt":"In this paper we study strong coupling asymptotic expansions of ${\\mathcal N}=2$ $D=4$ $SU(2)$ gauge theory partition functions in general $\\Omega$-background. This is done by refining Painlev\\'e/gauge theory correspondence in terms of quantum Painlev\\'e equations, obtained from $\\mathbb{C}^2/\\mathbb{Z}_2$ blowup relations. We present a general ansatz and a systematic analysis of the expansions of the gauge theory partition functions by solving the above equations around the strong coupling singularities, including Argyres-Douglas points. We compare our results with refined holomorphic anomaly"},"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":"2502.01499","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2025-02-03T16:30:43Z","cross_cats_sorted":["math-ph","math.MP","nlin.SI"],"title_canon_sha256":"c7e64e4054aa423d7df998008cac54357ae8a5a652c26192f89b00ef1155f62d","abstract_canon_sha256":"61f13f272b49e0f07b0f2ed846a74713918724db1f9b0683a1da817af5d05ad6"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:08:56.012009Z","signature_b64":"GMTOHvjF/nIP5EbEzGm9lKM+IGpZKpp4JmcLvDBnfJhwWCvAeVNhtZdY/v5QBX4iOAcFO4OQw9YXTwRJakBGDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"78935f99a37801d4b510ffb2102ccb3d7e30433c1cd33b209595f1aeb1877da1","last_reissued_at":"2026-07-05T10:08:56.011570Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:08:56.011570Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Refined Painlev\\'e/gauge theory correspondence and quantum tau functions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","nlin.SI"],"primary_cat":"hep-th","authors_text":"A. Shchechkin, A. Tanzini, G. Bonelli","submitted_at":"2025-02-03T16:30:43Z","abstract_excerpt":"In this paper we study strong coupling asymptotic expansions of ${\\mathcal N}=2$ $D=4$ $SU(2)$ gauge theory partition functions in general $\\Omega$-background. This is done by refining Painlev\\'e/gauge theory correspondence in terms of quantum Painlev\\'e equations, obtained from $\\mathbb{C}^2/\\mathbb{Z}_2$ blowup relations. We present a general ansatz and a systematic analysis of the expansions of the gauge theory partition functions by solving the above equations around the strong coupling singularities, including Argyres-Douglas points. We compare our results with refined holomorphic anomaly"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2502.01499","kind":"arxiv","version":1},"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/2502.01499/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":"2502.01499","created_at":"2026-07-05T10:08:56.011628+00:00"},{"alias_kind":"arxiv_version","alias_value":"2502.01499v1","created_at":"2026-07-05T10:08:56.011628+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2502.01499","created_at":"2026-07-05T10:08:56.011628+00:00"},{"alias_kind":"pith_short_12","alias_value":"PCJV7GNDPAA5","created_at":"2026-07-05T10:08:56.011628+00:00"},{"alias_kind":"pith_short_16","alias_value":"PCJV7GNDPAA5JNIQ","created_at":"2026-07-05T10:08:56.011628+00:00"},{"alias_kind":"pith_short_8","alias_value":"PCJV7GND","created_at":"2026-07-05T10:08:56.011628+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2605.06079","citing_title":"Accessory Parameter of Confluent Heun Equations, Voros Periods and classical irregular conformal blocks","ref_index":6,"is_internal_anchor":false},{"citing_arxiv_id":"2604.20674","citing_title":"Wall-crossing of Instantons on the Blow-up","ref_index":34,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/PCJV7GNDPAA5JNIQ76ZBALGLHV","json":"https://pith.science/pith/PCJV7GNDPAA5JNIQ76ZBALGLHV.json","graph_json":"https://pith.science/api/pith-number/PCJV7GNDPAA5JNIQ76ZBALGLHV/graph.json","events_json":"https://pith.science/api/pith-number/PCJV7GNDPAA5JNIQ76ZBALGLHV/events.json","paper":"https://pith.science/paper/PCJV7GND"},"agent_actions":{"view_html":"https://pith.science/pith/PCJV7GNDPAA5JNIQ76ZBALGLHV","download_json":"https://pith.science/pith/PCJV7GNDPAA5JNIQ76ZBALGLHV.json","view_paper":"https://pith.science/paper/PCJV7GND","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2502.01499&json=true","fetch_graph":"https://pith.science/api/pith-number/PCJV7GNDPAA5JNIQ76ZBALGLHV/graph.json","fetch_events":"https://pith.science/api/pith-number/PCJV7GNDPAA5JNIQ76ZBALGLHV/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/PCJV7GNDPAA5JNIQ76ZBALGLHV/action/timestamp_anchor","attest_storage":"https://pith.science/pith/PCJV7GNDPAA5JNIQ76ZBALGLHV/action/storage_attestation","attest_author":"https://pith.science/pith/PCJV7GNDPAA5JNIQ76ZBALGLHV/action/author_attestation","sign_citation":"https://pith.science/pith/PCJV7GNDPAA5JNIQ76ZBALGLHV/action/citation_signature","submit_replication":"https://pith.science/pith/PCJV7GNDPAA5JNIQ76ZBALGLHV/action/replication_record"}},"created_at":"2026-07-05T10:08:56.011628+00:00","updated_at":"2026-07-05T10:08:56.011628+00:00"}