{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:6DJLHTXV732HLDH3DKIPTDTSRN","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":"d3799e5d807b91f29a83b13cda869e17a1ad909b8c3b73a33e9b7f53ad0a8ca8","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-06-24T15:59:25Z","title_canon_sha256":"2169dabe9f9ee8b5b1dfb0e0f1de6829f3206cb645262e16f38f472f5035c11d"},"schema_version":"1.0","source":{"id":"1006.4822","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1006.4822","created_at":"2026-05-18T04:23:56Z"},{"alias_kind":"arxiv_version","alias_value":"1006.4822v1","created_at":"2026-05-18T04:23:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1006.4822","created_at":"2026-05-18T04:23:56Z"},{"alias_kind":"pith_short_12","alias_value":"6DJLHTXV732H","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_16","alias_value":"6DJLHTXV732HLDH3","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_8","alias_value":"6DJLHTXV","created_at":"2026-05-18T12:26:04Z"}],"graph_snapshots":[{"event_id":"sha256:e02a0447b67ffcd6c4d4679154a7183d47c22aec5cc057652377f7f3e14ea230","target":"graph","created_at":"2026-05-18T04:23:56Z","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":"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.","authors_text":"Rubik Poghossian","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-06-24T15:59:25Z","title":"Deforming SW curve"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1006.4822","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:bffd77c80c10a346cf0556288f82a95fdbdf61b27335835a2d2f932effb5e7b0","target":"record","created_at":"2026-05-18T04:23:56Z","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":"d3799e5d807b91f29a83b13cda869e17a1ad909b8c3b73a33e9b7f53ad0a8ca8","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-06-24T15:59:25Z","title_canon_sha256":"2169dabe9f9ee8b5b1dfb0e0f1de6829f3206cb645262e16f38f472f5035c11d"},"schema_version":"1.0","source":{"id":"1006.4822","kind":"arxiv","version":1}},"canonical_sha256":"f0d2b3cef5fef4758cfb1a90f98e728b43552ba5626e377d39352771599cd8a5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f0d2b3cef5fef4758cfb1a90f98e728b43552ba5626e377d39352771599cd8a5","first_computed_at":"2026-05-18T04:23:56.782933Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:23:56.782933Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YMxyeaYaL5WeeKdudEz40wSYmm7vfVEltvul6sDpZ+JThwWVbqO6ZWYhisbfg8VInv+XkruOh59v0QXstqMkCw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:23:56.783353Z","signed_message":"canonical_sha256_bytes"},"source_id":"1006.4822","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bffd77c80c10a346cf0556288f82a95fdbdf61b27335835a2d2f932effb5e7b0","sha256:e02a0447b67ffcd6c4d4679154a7183d47c22aec5cc057652377f7f3e14ea230"],"state_sha256":"7078b61ebefb33296e06f21477cba66c9d38ad18ddba9da4b863de819e115f67"}