{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:HTV5J6FQCDPFBGBH27VQAOSFJU","short_pith_number":"pith:HTV5J6FQ","schema_version":"1.0","canonical_sha256":"3cebd4f8b010de509827d7eb003a454d03f98f0232e36522ce68535cafb20ad8","source":{"kind":"arxiv","id":"2410.17868","version":1},"attestation_state":"computed","paper":{"title":"Surface observables in gauge theories, modular Painlev\\'e tau functions and non-perturbative topological strings","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Alessandro Tanzini, Giulio Bonelli, Ideal Majtara, Pavlo Gavrylenko","submitted_at":"2024-10-23T13:41:11Z","abstract_excerpt":"We study BPS surface observables of $\\mathcal{N}=2$ four dimensional $SU(2)$ gauge theory in gravitational $\\Omega$-background at perturbative and at Argyres-Douglas superconformal fixed points. This is done by formulating the equivariant gauge theory on the blow-up of $\\mathbb{C}^2$ and considering the decoupling Nekrasov-Shatashvili limit. We show that in this limit the blow-up equations are solved by corresponding Painlev\\'e $\\mathcal{T}$-functions and exploit operator/state correspondence to compute their expansion in an integer basis, given in terms of the moduli of the quantum Seiberg-Wi"},"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":"2410.17868","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-10-23T13:41:11Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"cd139906f5a8d4b403742273b9e24fef6ec7d0a7d4f426a3bf8f3ba9171b8baf","abstract_canon_sha256":"59de6ff9a955384d699c91479431c08116399227d0b1ea21e2b7dea7b5c0425f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-25T01:18:33.911479Z","signature_b64":"G3pUqhesr4RbpVqKpymcZc1shKqcDCqoLKoKLYYcB5wd7wzFapdxSKAUPI12EmhwJAOwv6Gu8FdegqQe1aWACg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3cebd4f8b010de509827d7eb003a454d03f98f0232e36522ce68535cafb20ad8","last_reissued_at":"2026-06-25T01:18:33.910956Z","signature_status":"signed_v1","first_computed_at":"2026-06-25T01:18:33.910956Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Surface observables in gauge theories, modular Painlev\\'e tau functions and non-perturbative topological strings","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Alessandro Tanzini, Giulio Bonelli, Ideal Majtara, Pavlo Gavrylenko","submitted_at":"2024-10-23T13:41:11Z","abstract_excerpt":"We study BPS surface observables of $\\mathcal{N}=2$ four dimensional $SU(2)$ gauge theory in gravitational $\\Omega$-background at perturbative and at Argyres-Douglas superconformal fixed points. This is done by formulating the equivariant gauge theory on the blow-up of $\\mathbb{C}^2$ and considering the decoupling Nekrasov-Shatashvili limit. We show that in this limit the blow-up equations are solved by corresponding Painlev\\'e $\\mathcal{T}$-functions and exploit operator/state correspondence to compute their expansion in an integer basis, given in terms of the moduli of the quantum Seiberg-Wi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2410.17868","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/2410.17868/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":"2410.17868","created_at":"2026-06-25T01:18:33.911015+00:00"},{"alias_kind":"arxiv_version","alias_value":"2410.17868v1","created_at":"2026-06-25T01:18:33.911015+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2410.17868","created_at":"2026-06-25T01:18:33.911015+00:00"},{"alias_kind":"pith_short_12","alias_value":"HTV5J6FQCDPF","created_at":"2026-06-25T01:18:33.911015+00:00"},{"alias_kind":"pith_short_16","alias_value":"HTV5J6FQCDPFBGBH","created_at":"2026-06-25T01:18:33.911015+00:00"},{"alias_kind":"pith_short_8","alias_value":"HTV5J6FQ","created_at":"2026-06-25T01:18:33.911015+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":2,"sample":[{"citing_arxiv_id":"2512.17599","citing_title":"Les Houches Lectures on Exact WKB Analysis and Painlev\\'e Equations","ref_index":23,"is_internal_anchor":true},{"citing_arxiv_id":"2604.20674","citing_title":"Wall-crossing of Instantons on the Blow-up","ref_index":31,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/HTV5J6FQCDPFBGBH27VQAOSFJU","json":"https://pith.science/pith/HTV5J6FQCDPFBGBH27VQAOSFJU.json","graph_json":"https://pith.science/api/pith-number/HTV5J6FQCDPFBGBH27VQAOSFJU/graph.json","events_json":"https://pith.science/api/pith-number/HTV5J6FQCDPFBGBH27VQAOSFJU/events.json","paper":"https://pith.science/paper/HTV5J6FQ"},"agent_actions":{"view_html":"https://pith.science/pith/HTV5J6FQCDPFBGBH27VQAOSFJU","download_json":"https://pith.science/pith/HTV5J6FQCDPFBGBH27VQAOSFJU.json","view_paper":"https://pith.science/paper/HTV5J6FQ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2410.17868&json=true","fetch_graph":"https://pith.science/api/pith-number/HTV5J6FQCDPFBGBH27VQAOSFJU/graph.json","fetch_events":"https://pith.science/api/pith-number/HTV5J6FQCDPFBGBH27VQAOSFJU/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/HTV5J6FQCDPFBGBH27VQAOSFJU/action/timestamp_anchor","attest_storage":"https://pith.science/pith/HTV5J6FQCDPFBGBH27VQAOSFJU/action/storage_attestation","attest_author":"https://pith.science/pith/HTV5J6FQCDPFBGBH27VQAOSFJU/action/author_attestation","sign_citation":"https://pith.science/pith/HTV5J6FQCDPFBGBH27VQAOSFJU/action/citation_signature","submit_replication":"https://pith.science/pith/HTV5J6FQCDPFBGBH27VQAOSFJU/action/replication_record"}},"created_at":"2026-06-25T01:18:33.911015+00:00","updated_at":"2026-06-25T01:18:33.911015+00:00"}