{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:6DJLHTXV732HLDH3DKIPTDTSRN","short_pith_number":"pith:6DJLHTXV","schema_version":"1.0","canonical_sha256":"f0d2b3cef5fef4758cfb1a90f98e728b43552ba5626e377d39352771599cd8a5","source":{"kind":"arxiv","id":"1006.4822","version":1},"attestation_state":"computed","paper":{"title":"Deforming SW curve","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Rubik Poghossian","submitted_at":"2010-06-24T15:59:25Z","abstract_excerpt":"A system of Bethe-Ansatz type equations, which specify a unique array of Young tableau responsible for the leading contribution to the Nekrasov partition function in the $\\epsilon_2\\rightarrow 0$ limit is derived. It is shown that the prepotential with generic $\\epsilon_1$ is directly related to the (rescaled by $\\epsilon_1$) number of total boxes of these Young tableau. Moreover, all the expectation values of the chiral fields $\\langle \\tr \\phi^J \\rangle $ are simple symmetric functions of their column lengths. An entire function whose zeros are determined by the column lengths is introduced."},"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":"1006.4822","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-06-24T15:59:25Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"2169dabe9f9ee8b5b1dfb0e0f1de6829f3206cb645262e16f38f472f5035c11d","abstract_canon_sha256":"d3799e5d807b91f29a83b13cda869e17a1ad909b8c3b73a33e9b7f53ad0a8ca8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:23:56.783353Z","signature_b64":"YMxyeaYaL5WeeKdudEz40wSYmm7vfVEltvul6sDpZ+JThwWVbqO6ZWYhisbfg8VInv+XkruOh59v0QXstqMkCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f0d2b3cef5fef4758cfb1a90f98e728b43552ba5626e377d39352771599cd8a5","last_reissued_at":"2026-05-18T04:23:56.782933Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:23:56.782933Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Deforming SW curve","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Rubik Poghossian","submitted_at":"2010-06-24T15:59:25Z","abstract_excerpt":"A system of Bethe-Ansatz type equations, which specify a unique array of Young tableau responsible for the leading contribution to the Nekrasov partition function in the $\\epsilon_2\\rightarrow 0$ limit is derived. It is shown that the prepotential with generic $\\epsilon_1$ is directly related to the (rescaled by $\\epsilon_1$) number of total boxes of these Young tableau. Moreover, all the expectation values of the chiral fields $\\langle \\tr \\phi^J \\rangle $ are simple symmetric functions of their column lengths. An entire function whose zeros are determined by the column lengths is introduced."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1006.4822","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1006.4822","created_at":"2026-05-18T04:23:56.782991+00:00"},{"alias_kind":"arxiv_version","alias_value":"1006.4822v1","created_at":"2026-05-18T04:23:56.782991+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1006.4822","created_at":"2026-05-18T04:23:56.782991+00:00"},{"alias_kind":"pith_short_12","alias_value":"6DJLHTXV732H","created_at":"2026-05-18T12:26:04.259169+00:00"},{"alias_kind":"pith_short_16","alias_value":"6DJLHTXV732HLDH3","created_at":"2026-05-18T12:26:04.259169+00:00"},{"alias_kind":"pith_short_8","alias_value":"6DJLHTXV","created_at":"2026-05-18T12:26:04.259169+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/6DJLHTXV732HLDH3DKIPTDTSRN","json":"https://pith.science/pith/6DJLHTXV732HLDH3DKIPTDTSRN.json","graph_json":"https://pith.science/api/pith-number/6DJLHTXV732HLDH3DKIPTDTSRN/graph.json","events_json":"https://pith.science/api/pith-number/6DJLHTXV732HLDH3DKIPTDTSRN/events.json","paper":"https://pith.science/paper/6DJLHTXV"},"agent_actions":{"view_html":"https://pith.science/pith/6DJLHTXV732HLDH3DKIPTDTSRN","download_json":"https://pith.science/pith/6DJLHTXV732HLDH3DKIPTDTSRN.json","view_paper":"https://pith.science/paper/6DJLHTXV","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1006.4822&json=true","fetch_graph":"https://pith.science/api/pith-number/6DJLHTXV732HLDH3DKIPTDTSRN/graph.json","fetch_events":"https://pith.science/api/pith-number/6DJLHTXV732HLDH3DKIPTDTSRN/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/6DJLHTXV732HLDH3DKIPTDTSRN/action/timestamp_anchor","attest_storage":"https://pith.science/pith/6DJLHTXV732HLDH3DKIPTDTSRN/action/storage_attestation","attest_author":"https://pith.science/pith/6DJLHTXV732HLDH3DKIPTDTSRN/action/author_attestation","sign_citation":"https://pith.science/pith/6DJLHTXV732HLDH3DKIPTDTSRN/action/citation_signature","submit_replication":"https://pith.science/pith/6DJLHTXV732HLDH3DKIPTDTSRN/action/replication_record"}},"created_at":"2026-05-18T04:23:56.782991+00:00","updated_at":"2026-05-18T04:23:56.782991+00:00"}