{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:HTV5J6FQCDPFBGBH27VQAOSFJU","short_pith_number":"pith:HTV5J6FQ","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"},"canonical_sha256":"3cebd4f8b010de509827d7eb003a454d03f98f0232e36522ce68535cafb20ad8","source":{"kind":"arxiv","id":"2410.17868","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2410.17868","created_at":"2026-06-25T01:18:33Z"},{"alias_kind":"arxiv_version","alias_value":"2410.17868v1","created_at":"2026-06-25T01:18:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2410.17868","created_at":"2026-06-25T01:18:33Z"},{"alias_kind":"pith_short_12","alias_value":"HTV5J6FQCDPF","created_at":"2026-06-25T01:18:33Z"},{"alias_kind":"pith_short_16","alias_value":"HTV5J6FQCDPFBGBH","created_at":"2026-06-25T01:18:33Z"},{"alias_kind":"pith_short_8","alias_value":"HTV5J6FQ","created_at":"2026-06-25T01:18:33Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:HTV5J6FQCDPFBGBH27VQAOSFJU","target":"record","payload":{"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"},"canonical_sha256":"3cebd4f8b010de509827d7eb003a454d03f98f0232e36522ce68535cafb20ad8","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"},"source_kind":"arxiv","source_id":"2410.17868","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-06-25T01:18:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"x6gcbZkAsI9HSOrT5JaE/YtbwkLsoLr6WDqTSXAGYcDtvBvW19IJtYjM7okli/WK3dD8bZumtunjSdP8gd4vDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T08:43:45.787613Z"},"content_sha256":"c4f26bdbda142528d9408b88a83084caffc9129fdce7d8b82941d36e044a6480","schema_version":"1.0","event_id":"sha256:c4f26bdbda142528d9408b88a83084caffc9129fdce7d8b82941d36e044a6480"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:HTV5J6FQCDPFBGBH27VQAOSFJU","target":"graph","payload":{"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-06-25T01:18:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kupX/X4N/7yqWBoEw/TquEDvI/ByRhkxWeACbq5NKgCxkOIs8qh1zzhDFAqbCojWDZAI7YjH2LPYeaTA5zuyDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T08:43:45.788222Z"},"content_sha256":"6b59e983372bbe2cf3287cea80da02eb8e4164dbcb56116784c7b2f90b08782b","schema_version":"1.0","event_id":"sha256:6b59e983372bbe2cf3287cea80da02eb8e4164dbcb56116784c7b2f90b08782b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HTV5J6FQCDPFBGBH27VQAOSFJU/bundle.json","state_url":"https://pith.science/pith/HTV5J6FQCDPFBGBH27VQAOSFJU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HTV5J6FQCDPFBGBH27VQAOSFJU/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-07T08:43:45Z","links":{"resolver":"https://pith.science/pith/HTV5J6FQCDPFBGBH27VQAOSFJU","bundle":"https://pith.science/pith/HTV5J6FQCDPFBGBH27VQAOSFJU/bundle.json","state":"https://pith.science/pith/HTV5J6FQCDPFBGBH27VQAOSFJU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HTV5J6FQCDPFBGBH27VQAOSFJU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:HTV5J6FQCDPFBGBH27VQAOSFJU","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"59de6ff9a955384d699c91479431c08116399227d0b1ea21e2b7dea7b5c0425f","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-10-23T13:41:11Z","title_canon_sha256":"cd139906f5a8d4b403742273b9e24fef6ec7d0a7d4f426a3bf8f3ba9171b8baf"},"schema_version":"1.0","source":{"id":"2410.17868","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2410.17868","created_at":"2026-06-25T01:18:33Z"},{"alias_kind":"arxiv_version","alias_value":"2410.17868v1","created_at":"2026-06-25T01:18:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2410.17868","created_at":"2026-06-25T01:18:33Z"},{"alias_kind":"pith_short_12","alias_value":"HTV5J6FQCDPF","created_at":"2026-06-25T01:18:33Z"},{"alias_kind":"pith_short_16","alias_value":"HTV5J6FQCDPFBGBH","created_at":"2026-06-25T01:18:33Z"},{"alias_kind":"pith_short_8","alias_value":"HTV5J6FQ","created_at":"2026-06-25T01:18:33Z"}],"graph_snapshots":[{"event_id":"sha256:6b59e983372bbe2cf3287cea80da02eb8e4164dbcb56116784c7b2f90b08782b","target":"graph","created_at":"2026-06-25T01:18:33Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2410.17868/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"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","authors_text":"Alessandro Tanzini, Giulio Bonelli, Ideal Majtara, Pavlo Gavrylenko","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-10-23T13:41:11Z","title":"Surface observables in gauge theories, modular Painlev\\'e tau functions and non-perturbative topological strings"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2410.17868","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:c4f26bdbda142528d9408b88a83084caffc9129fdce7d8b82941d36e044a6480","target":"record","created_at":"2026-06-25T01:18:33Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"59de6ff9a955384d699c91479431c08116399227d0b1ea21e2b7dea7b5c0425f","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-10-23T13:41:11Z","title_canon_sha256":"cd139906f5a8d4b403742273b9e24fef6ec7d0a7d4f426a3bf8f3ba9171b8baf"},"schema_version":"1.0","source":{"id":"2410.17868","kind":"arxiv","version":1}},"canonical_sha256":"3cebd4f8b010de509827d7eb003a454d03f98f0232e36522ce68535cafb20ad8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3cebd4f8b010de509827d7eb003a454d03f98f0232e36522ce68535cafb20ad8","first_computed_at":"2026-06-25T01:18:33.910956Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-25T01:18:33.910956Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"G3pUqhesr4RbpVqKpymcZc1shKqcDCqoLKoKLYYcB5wd7wzFapdxSKAUPI12EmhwJAOwv6Gu8FdegqQe1aWACg==","signature_status":"signed_v1","signed_at":"2026-06-25T01:18:33.911479Z","signed_message":"canonical_sha256_bytes"},"source_id":"2410.17868","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c4f26bdbda142528d9408b88a83084caffc9129fdce7d8b82941d36e044a6480","sha256:6b59e983372bbe2cf3287cea80da02eb8e4164dbcb56116784c7b2f90b08782b"],"state_sha256":"a83796dd615a619f88ff43d1cbb7ca1ae82586b110498d9a2bb8ad0374ee6450"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"F5x5L3lA53htGU73awe4wRGz9jOkihxEE8JrVO7p2bJJxRo1H0KgA2EzGQ+zw2z5Lff9gEdrZDRI5CNlx7PlBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-07T08:43:45.797733Z","bundle_sha256":"c59a1d54a9cafb7b7f2923966ba460093ac144cfbc82734cad7d8542597e7b3d"}}