{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:4XZLQFDMYQ7VYQR2QAPLFAWQIX","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":"4c8e770c12b256bd7cf7fc2925137b1e2f1fa0869afc19ab8253b3f8a31d15e9","cross_cats_sorted":["math-ph","math.AG","math.MP"],"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"hep-th","submitted_at":"2012-11-09T21:05:26Z","title_canon_sha256":"69676ae0f6df8d8a2b5e18c89d8ab70085a25bab44782539e4e9953f160ed82d"},"schema_version":"1.0","source":{"id":"1211.2240","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1211.2240","created_at":"2026-07-05T06:32:51Z"},{"alias_kind":"arxiv_version","alias_value":"1211.2240v2","created_at":"2026-07-05T06:32:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.2240","created_at":"2026-07-05T06:32:51Z"},{"alias_kind":"pith_short_12","alias_value":"4XZLQFDMYQ7V","created_at":"2026-07-05T06:32:51Z"},{"alias_kind":"pith_short_16","alias_value":"4XZLQFDMYQ7VYQR2","created_at":"2026-07-05T06:32:51Z"},{"alias_kind":"pith_short_8","alias_value":"4XZLQFDM","created_at":"2026-07-05T06:32:51Z"}],"graph_snapshots":[{"event_id":"sha256:3252501819fab6f2dad6ca8d27bc87e14182808cd06d33ccfc1e55b72d49d74f","target":"graph","created_at":"2026-07-05T06:32:51Z","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/1211.2240/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Seiberg-Witten geometry of mass deformed $\\mathcal N=2$ superconformal ADE quiver gauge theories in four dimensions is determined. We solve the limit shape equations derived from the gauge theory and identify the space $\\mathfrak M$ of vacua of the theory with the moduli space of the genus zero holomorphic (quasi)maps to the moduli space ${\\rm Bun}_{\\mathbf G} (\\mathcal E)$ of holomorphic $G^{\\mathbb C}$-bundles on a (possibly degenerate) elliptic curve $\\mathcal E$ defined in terms of the microscopic gauge couplings, for the corresponding simple ADE Lie group $G$. The integrable systems $\\mat","authors_text":"Nikita Nekrasov, Vasily Pestun","cross_cats":["math-ph","math.AG","math.MP"],"headline":"","license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"hep-th","submitted_at":"2012-11-09T21:05:26Z","title":"Seiberg-Witten Geometry of Four-Dimensional $\\mathcal N=2$ Quiver Gauge Theories"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.2240","kind":"arxiv","version":2},"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:df714680f80e522586bfd28dec5a732a3313e684766f48718d21f50ede010a0f","target":"record","created_at":"2026-07-05T06:32:51Z","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":"4c8e770c12b256bd7cf7fc2925137b1e2f1fa0869afc19ab8253b3f8a31d15e9","cross_cats_sorted":["math-ph","math.AG","math.MP"],"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"hep-th","submitted_at":"2012-11-09T21:05:26Z","title_canon_sha256":"69676ae0f6df8d8a2b5e18c89d8ab70085a25bab44782539e4e9953f160ed82d"},"schema_version":"1.0","source":{"id":"1211.2240","kind":"arxiv","version":2}},"canonical_sha256":"e5f2b8146cc43f5c423a801eb282d045d1884535e5041ab317747eeb9ef72d3a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e5f2b8146cc43f5c423a801eb282d045d1884535e5041ab317747eeb9ef72d3a","first_computed_at":"2026-07-05T06:32:51.580171Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:32:51.580171Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nzIdoZGstsAHkpLeGI/EZjvYOV4kYdcOFuflpLue36dPmPFXUCXFLh9teF9PjFaZrKK/BXkVZbWMS66XvUy5CA==","signature_status":"signed_v1","signed_at":"2026-07-05T06:32:51.580613Z","signed_message":"canonical_sha256_bytes"},"source_id":"1211.2240","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:df714680f80e522586bfd28dec5a732a3313e684766f48718d21f50ede010a0f","sha256:3252501819fab6f2dad6ca8d27bc87e14182808cd06d33ccfc1e55b72d49d74f"],"state_sha256":"481d2121890830e1a514eaad1209d8e48f95fa1ba3fde4023666388c4cfb7b22"}