{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:ZNCSIQ46OPSI4RD6XENUTNJ4CW","short_pith_number":"pith:ZNCSIQ46","canonical_record":{"source":{"id":"1006.4505","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-06-23T13:00:34Z","cross_cats_sorted":[],"title_canon_sha256":"02f41d34d30fab2059efbf039905c6f769d3cc72cf379077f8d0b28286f6b7a6","abstract_canon_sha256":"ad18121cd1f6c5a02c53dbb5f595fd9bdee5577b963349aa1294d6e91392c336"},"schema_version":"1.0"},"canonical_sha256":"cb4524439e73e48e447eb91b49b53c15a4c169222a1e98bff99ea69518104cc5","source":{"kind":"arxiv","id":"1006.4505","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1006.4505","created_at":"2026-05-18T02:33:16Z"},{"alias_kind":"arxiv_version","alias_value":"1006.4505v3","created_at":"2026-05-18T02:33:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1006.4505","created_at":"2026-05-18T02:33:16Z"},{"alias_kind":"pith_short_12","alias_value":"ZNCSIQ46OPSI","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_16","alias_value":"ZNCSIQ46OPSI4RD6","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_8","alias_value":"ZNCSIQ46","created_at":"2026-05-18T12:26:18Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:ZNCSIQ46OPSI4RD6XENUTNJ4CW","target":"record","payload":{"canonical_record":{"source":{"id":"1006.4505","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-06-23T13:00:34Z","cross_cats_sorted":[],"title_canon_sha256":"02f41d34d30fab2059efbf039905c6f769d3cc72cf379077f8d0b28286f6b7a6","abstract_canon_sha256":"ad18121cd1f6c5a02c53dbb5f595fd9bdee5577b963349aa1294d6e91392c336"},"schema_version":"1.0"},"canonical_sha256":"cb4524439e73e48e447eb91b49b53c15a4c169222a1e98bff99ea69518104cc5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:33:16.193899Z","signature_b64":"C0a6phsfCEK4B9FVaUoAPx3UEHfThZndhTVmUznQNA1XH54yPWfYZOqziIg+Ifg/ji6JTZZiWZJmTxy/XHAdBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cb4524439e73e48e447eb91b49b53c15a4c169222a1e98bff99ea69518104cc5","last_reissued_at":"2026-05-18T02:33:16.193293Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:33:16.193293Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1006.4505","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:33:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NKNaVFwIE8WYGbjjibmYFi8yRq1PVj49pTFaU0aAqaUJgjxbUViZ4x8st7Wu3iMFwUxVU6gw2/9Sx20dUNWhAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T07:52:52.065072Z"},"content_sha256":"9fac277683ed0f6c3e7d5cbaead07e853f42cd4132dcf005d2074bfd0616acc0","schema_version":"1.0","event_id":"sha256:9fac277683ed0f6c3e7d5cbaead07e853f42cd4132dcf005d2074bfd0616acc0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:ZNCSIQ46OPSI4RD6XENUTNJ4CW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Deformed Prepotential, Quantum Integrable System and Liouville Field Theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Kazunobu Maruyoshi, Masato Taki","submitted_at":"2010-06-23T13:00:34Z","abstract_excerpt":"We study the dual descriptions recently discovered for the Seiberg-Witten theory in the presence of surface operators. The Nekrasov partition function for a four-dimensional N=2 gauge theory with a surface operator is believed equal to the wave-function of the corresponding integrable system, or the Hitchin system, and is identified with the conformal block with a degenerate field via the AGT relation. We verify the conjecture by showing that the null state condition leads to the Schrodinger equations of the integrable systems. Furthermore, we show that the deformed prepotential emerging from "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1006.4505","kind":"arxiv","version":3},"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":"2026-05-18T02:33:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VyohqK++PJg+BYN38o0mQh+VJw4PbeJBz+/owgR4AfraTJIjS1RkcFyhOM4/TxkZZyG7BEQAv2wtfsE1TdOACw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T07:52:52.065527Z"},"content_sha256":"0ceafbb1f9483bf84869c4e1adf36a9f9021195c2bbda7dc2f52151865021ca3","schema_version":"1.0","event_id":"sha256:0ceafbb1f9483bf84869c4e1adf36a9f9021195c2bbda7dc2f52151865021ca3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZNCSIQ46OPSI4RD6XENUTNJ4CW/bundle.json","state_url":"https://pith.science/pith/ZNCSIQ46OPSI4RD6XENUTNJ4CW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZNCSIQ46OPSI4RD6XENUTNJ4CW/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":"2026-08-06T07:52:52Z","links":{"resolver":"https://pith.science/pith/ZNCSIQ46OPSI4RD6XENUTNJ4CW","bundle":"https://pith.science/pith/ZNCSIQ46OPSI4RD6XENUTNJ4CW/bundle.json","state":"https://pith.science/pith/ZNCSIQ46OPSI4RD6XENUTNJ4CW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZNCSIQ46OPSI4RD6XENUTNJ4CW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:ZNCSIQ46OPSI4RD6XENUTNJ4CW","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":"ad18121cd1f6c5a02c53dbb5f595fd9bdee5577b963349aa1294d6e91392c336","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-06-23T13:00:34Z","title_canon_sha256":"02f41d34d30fab2059efbf039905c6f769d3cc72cf379077f8d0b28286f6b7a6"},"schema_version":"1.0","source":{"id":"1006.4505","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1006.4505","created_at":"2026-05-18T02:33:16Z"},{"alias_kind":"arxiv_version","alias_value":"1006.4505v3","created_at":"2026-05-18T02:33:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1006.4505","created_at":"2026-05-18T02:33:16Z"},{"alias_kind":"pith_short_12","alias_value":"ZNCSIQ46OPSI","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_16","alias_value":"ZNCSIQ46OPSI4RD6","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_8","alias_value":"ZNCSIQ46","created_at":"2026-05-18T12:26:18Z"}],"graph_snapshots":[{"event_id":"sha256:0ceafbb1f9483bf84869c4e1adf36a9f9021195c2bbda7dc2f52151865021ca3","target":"graph","created_at":"2026-05-18T02:33:16Z","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 study the dual descriptions recently discovered for the Seiberg-Witten theory in the presence of surface operators. The Nekrasov partition function for a four-dimensional N=2 gauge theory with a surface operator is believed equal to the wave-function of the corresponding integrable system, or the Hitchin system, and is identified with the conformal block with a degenerate field via the AGT relation. We verify the conjecture by showing that the null state condition leads to the Schrodinger equations of the integrable systems. Furthermore, we show that the deformed prepotential emerging from ","authors_text":"Kazunobu Maruyoshi, Masato Taki","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-06-23T13:00:34Z","title":"Deformed Prepotential, Quantum Integrable System and Liouville Field Theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1006.4505","kind":"arxiv","version":3},"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":"sha256:9fac277683ed0f6c3e7d5cbaead07e853f42cd4132dcf005d2074bfd0616acc0","target":"record","created_at":"2026-05-18T02:33:16Z","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":"ad18121cd1f6c5a02c53dbb5f595fd9bdee5577b963349aa1294d6e91392c336","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-06-23T13:00:34Z","title_canon_sha256":"02f41d34d30fab2059efbf039905c6f769d3cc72cf379077f8d0b28286f6b7a6"},"schema_version":"1.0","source":{"id":"1006.4505","kind":"arxiv","version":3}},"canonical_sha256":"cb4524439e73e48e447eb91b49b53c15a4c169222a1e98bff99ea69518104cc5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cb4524439e73e48e447eb91b49b53c15a4c169222a1e98bff99ea69518104cc5","first_computed_at":"2026-05-18T02:33:16.193293Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:33:16.193293Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"C0a6phsfCEK4B9FVaUoAPx3UEHfThZndhTVmUznQNA1XH54yPWfYZOqziIg+Ifg/ji6JTZZiWZJmTxy/XHAdBg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:33:16.193899Z","signed_message":"canonical_sha256_bytes"},"source_id":"1006.4505","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9fac277683ed0f6c3e7d5cbaead07e853f42cd4132dcf005d2074bfd0616acc0","sha256:0ceafbb1f9483bf84869c4e1adf36a9f9021195c2bbda7dc2f52151865021ca3"],"state_sha256":"d7875e1dfe0d1c68a43fe333a2f37c37a4b7403539811d207491acb5b2b50f24"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xkOCIYLztRMGlc2ndepGOa9Iyc1kenDm6EDfUmOksR4jJ42nPv7D99glTDNcNiB6Hdfg6xkxvmcZ0Plw5pQ3AA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-06T07:52:52.068985Z","bundle_sha256":"5506e90d73347b80c774a0330d6df484fcb83de745785ead07acf375cadf5281"}}