{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:B43B4MW5VPC5Y4ZXT3LEX34F7U","short_pith_number":"pith:B43B4MW5","canonical_record":{"source":{"id":"1506.01340","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-06-03T18:09:12Z","cross_cats_sorted":["math-ph","math.MP","nlin.SI"],"title_canon_sha256":"333fa270ebb97dc981cdf248738e82a3c196047bbd46bb698bdf115acb13e2e7","abstract_canon_sha256":"0d91677311766a318460de4deae9bc0f5d102f23b512997695cdfc646b5cce7c"},"schema_version":"1.0"},"canonical_sha256":"0f361e32ddabc5dc73379ed64bef85fd09d36a30f72b6fd0d3d479617d103506","source":{"kind":"arxiv","id":"1506.01340","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1506.01340","created_at":"2026-05-18T01:33:43Z"},{"alias_kind":"arxiv_version","alias_value":"1506.01340v1","created_at":"2026-05-18T01:33:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.01340","created_at":"2026-05-18T01:33:43Z"},{"alias_kind":"pith_short_12","alias_value":"B43B4MW5VPC5","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_16","alias_value":"B43B4MW5VPC5Y4ZX","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_8","alias_value":"B43B4MW5","created_at":"2026-05-18T12:29:14Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:B43B4MW5VPC5Y4ZXT3LEX34F7U","target":"record","payload":{"canonical_record":{"source":{"id":"1506.01340","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-06-03T18:09:12Z","cross_cats_sorted":["math-ph","math.MP","nlin.SI"],"title_canon_sha256":"333fa270ebb97dc981cdf248738e82a3c196047bbd46bb698bdf115acb13e2e7","abstract_canon_sha256":"0d91677311766a318460de4deae9bc0f5d102f23b512997695cdfc646b5cce7c"},"schema_version":"1.0"},"canonical_sha256":"0f361e32ddabc5dc73379ed64bef85fd09d36a30f72b6fd0d3d479617d103506","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:33:43.039936Z","signature_b64":"cA8P/kHgnR74YNkdsyZN/D+DuC/Ebadb72HXPIlovkN+hxNadHRi+woEN4imQzmtpYAcBpOeKbzYErDKBiGMBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0f361e32ddabc5dc73379ed64bef85fd09d36a30f72b6fd0d3d479617d103506","last_reissued_at":"2026-05-18T01:33:43.039300Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:33:43.039300Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1506.01340","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":"2026-05-18T01:33:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5jWXQLYmc1zUE8yFoqPoWMQ4blfC0Jvvqvj0lVTeNGh4TswtPZHIE9PDhGAzt21bUMXIAXul1NDmLrGASSzYBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T08:45:14.774014Z"},"content_sha256":"8debe6294bfcf11183641a3d4ba076058bce2c764ac1d44c6f3da66099250a10","schema_version":"1.0","event_id":"sha256:8debe6294bfcf11183641a3d4ba076058bce2c764ac1d44c6f3da66099250a10"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:B43B4MW5VPC5Y4ZXT3LEX34F7U","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Finite $\\epsilon_2$-corrections to the $\\mathcal{N}=2$ SYM prepotential","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","nlin.SI"],"primary_cat":"hep-th","authors_text":"Davide Fioravanti, Jean-Emile Bourgine","submitted_at":"2015-06-03T18:09:12Z","abstract_excerpt":"We derive the first $\\epsilon_2$-correction to the instanton partition functions of $\\mathcal{N}=2$ Super Yang-Mills (SYM) in four dimensions in the Nekrasov-Shatashvili limit $\\epsilon_2\\rightarrow 0$. In the latter we recall the emergence of the famous Thermodynamic Bethe Ansatz-like equation which has been found by Mayer expansion techniques. Here we combine efficiently these to field theory arguments. In a nutshell, we find natural and resolutive the introduction of a new operator $\\nabla$ that distinguishes the singularities within and outside the integration contour of the partition func"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.01340","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":""},"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":"2026-05-18T01:33:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rmCvIaLuwfEKOEN11Sipdx8ZMK9GZ+ynH3nTHdrpV/DFaLGFheqL7KWsav+Zh4s+LCKuTNQttDDhLsUv59AUBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T08:45:14.774694Z"},"content_sha256":"e8964d4926445844cc75289221f10ea957772b6ff163f113151e10aad0810b47","schema_version":"1.0","event_id":"sha256:e8964d4926445844cc75289221f10ea957772b6ff163f113151e10aad0810b47"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/B43B4MW5VPC5Y4ZXT3LEX34F7U/bundle.json","state_url":"https://pith.science/pith/B43B4MW5VPC5Y4ZXT3LEX34F7U/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/B43B4MW5VPC5Y4ZXT3LEX34F7U/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":"2026-05-26T08:45:14Z","links":{"resolver":"https://pith.science/pith/B43B4MW5VPC5Y4ZXT3LEX34F7U","bundle":"https://pith.science/pith/B43B4MW5VPC5Y4ZXT3LEX34F7U/bundle.json","state":"https://pith.science/pith/B43B4MW5VPC5Y4ZXT3LEX34F7U/state.json","well_known_bundle":"https://pith.science/.well-known/pith/B43B4MW5VPC5Y4ZXT3LEX34F7U/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:B43B4MW5VPC5Y4ZXT3LEX34F7U","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":"0d91677311766a318460de4deae9bc0f5d102f23b512997695cdfc646b5cce7c","cross_cats_sorted":["math-ph","math.MP","nlin.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-06-03T18:09:12Z","title_canon_sha256":"333fa270ebb97dc981cdf248738e82a3c196047bbd46bb698bdf115acb13e2e7"},"schema_version":"1.0","source":{"id":"1506.01340","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1506.01340","created_at":"2026-05-18T01:33:43Z"},{"alias_kind":"arxiv_version","alias_value":"1506.01340v1","created_at":"2026-05-18T01:33:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.01340","created_at":"2026-05-18T01:33:43Z"},{"alias_kind":"pith_short_12","alias_value":"B43B4MW5VPC5","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_16","alias_value":"B43B4MW5VPC5Y4ZX","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_8","alias_value":"B43B4MW5","created_at":"2026-05-18T12:29:14Z"}],"graph_snapshots":[{"event_id":"sha256:e8964d4926445844cc75289221f10ea957772b6ff163f113151e10aad0810b47","target":"graph","created_at":"2026-05-18T01:33:43Z","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"},"paper":{"abstract_excerpt":"We derive the first $\\epsilon_2$-correction to the instanton partition functions of $\\mathcal{N}=2$ Super Yang-Mills (SYM) in four dimensions in the Nekrasov-Shatashvili limit $\\epsilon_2\\rightarrow 0$. In the latter we recall the emergence of the famous Thermodynamic Bethe Ansatz-like equation which has been found by Mayer expansion techniques. Here we combine efficiently these to field theory arguments. In a nutshell, we find natural and resolutive the introduction of a new operator $\\nabla$ that distinguishes the singularities within and outside the integration contour of the partition func","authors_text":"Davide Fioravanti, Jean-Emile Bourgine","cross_cats":["math-ph","math.MP","nlin.SI"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-06-03T18:09:12Z","title":"Finite $\\epsilon_2$-corrections to the $\\mathcal{N}=2$ SYM prepotential"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.01340","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":"sha256:8debe6294bfcf11183641a3d4ba076058bce2c764ac1d44c6f3da66099250a10","target":"record","created_at":"2026-05-18T01:33:43Z","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":"0d91677311766a318460de4deae9bc0f5d102f23b512997695cdfc646b5cce7c","cross_cats_sorted":["math-ph","math.MP","nlin.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-06-03T18:09:12Z","title_canon_sha256":"333fa270ebb97dc981cdf248738e82a3c196047bbd46bb698bdf115acb13e2e7"},"schema_version":"1.0","source":{"id":"1506.01340","kind":"arxiv","version":1}},"canonical_sha256":"0f361e32ddabc5dc73379ed64bef85fd09d36a30f72b6fd0d3d479617d103506","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0f361e32ddabc5dc73379ed64bef85fd09d36a30f72b6fd0d3d479617d103506","first_computed_at":"2026-05-18T01:33:43.039300Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:33:43.039300Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"cA8P/kHgnR74YNkdsyZN/D+DuC/Ebadb72HXPIlovkN+hxNadHRi+woEN4imQzmtpYAcBpOeKbzYErDKBiGMBg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:33:43.039936Z","signed_message":"canonical_sha256_bytes"},"source_id":"1506.01340","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8debe6294bfcf11183641a3d4ba076058bce2c764ac1d44c6f3da66099250a10","sha256:e8964d4926445844cc75289221f10ea957772b6ff163f113151e10aad0810b47"],"state_sha256":"18f3c66b3fef7563f377c34f167310337ffd14ce08d4bfca76a5ee1cb213dee5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"epkMHnlS9/z2/DrYasOf3t0F6zLraracLuMEMLd2R92Ibp3Kksd1RTZtzpqKiSNt+DvAeh6N8wMgtT5PPAFXCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T08:45:14.778346Z","bundle_sha256":"8a655e8b6d384089aa652648f3af0680e57338f7da5e4ae2f74761c32be0b4e8"}}