{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:3QWJ7XSSTASYYQIXNOPPC3DU7R","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":"5569c0fbbfb327ce24b4990bfa761d5fd56763d95760bef62f36dbcd1d8999b5","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-09-30T15:45:02Z","title_canon_sha256":"92909c6fa5dfbfa348bcd873560ca2864312b80771c1557c1ac963bb38edb7e0"},"schema_version":"1.0","source":{"id":"1609.09780","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1609.09780","created_at":"2026-05-18T01:03:13Z"},{"alias_kind":"arxiv_version","alias_value":"1609.09780v1","created_at":"2026-05-18T01:03:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.09780","created_at":"2026-05-18T01:03:13Z"},{"alias_kind":"pith_short_12","alias_value":"3QWJ7XSSTASY","created_at":"2026-05-18T12:29:55Z"},{"alias_kind":"pith_short_16","alias_value":"3QWJ7XSSTASYYQIX","created_at":"2026-05-18T12:29:55Z"},{"alias_kind":"pith_short_8","alias_value":"3QWJ7XSS","created_at":"2026-05-18T12:29:55Z"}],"graph_snapshots":[{"event_id":"sha256:f182ba8f5a4974fd228a5ecc72d4e40d671f59ced072fd4ac3e8548601aff320","target":"graph","created_at":"2026-05-18T01:03:13Z","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":"Let $K$ be the compact Lie group $USp(N/2)$ or $SO(N, R)$. Let $M^K_n$ be the moduli space of framed K-instantons over $S^4$ with the instanton number $n$. By Donaldson (1984), $M^K_n$ is endowed with a natural scheme structure. It is a Zariski open subset of a GIT quotient of $\\mu^{-1}(0)$, where $\\mu$ is a holomorphic moment map such that $\\mu^{-1}(0)$ consists of the ADHM data. The purpose of the paper is to study the geometric properties of $\\mu^{-1}(0)$ and its GIT quotient, such as complete intersection, irreducibility, reducedness and normality. If $K=USp(N/2)$ then $\\mu$ is flat and $\\","authors_text":"Jaeyoo Choy","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-09-30T15:45:02Z","title":"Moduli spaces of framed symplectic and orthogonal bundles on P2 and the K-theoretic Nekrasov partition functions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.09780","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":"sha256:6e84411059ef417c59cdad1a908b9f27776b5890128cd4c010a9a3e26c7b8d80","target":"record","created_at":"2026-05-18T01:03:13Z","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":"5569c0fbbfb327ce24b4990bfa761d5fd56763d95760bef62f36dbcd1d8999b5","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-09-30T15:45:02Z","title_canon_sha256":"92909c6fa5dfbfa348bcd873560ca2864312b80771c1557c1ac963bb38edb7e0"},"schema_version":"1.0","source":{"id":"1609.09780","kind":"arxiv","version":1}},"canonical_sha256":"dc2c9fde5298258c41176b9ef16c74fc4948f9041697217f5e9f6b105e4130b2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dc2c9fde5298258c41176b9ef16c74fc4948f9041697217f5e9f6b105e4130b2","first_computed_at":"2026-05-18T01:03:13.420477Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:03:13.420477Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"y5fUJl4FCYFEfM3xL3AI1/E/A2gUZh+n2/6w+he3KRDNluuTNzNwK8gQMzDlGTv3Xc8xkzF8Xt4OALRszURFDA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:03:13.420996Z","signed_message":"canonical_sha256_bytes"},"source_id":"1609.09780","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6e84411059ef417c59cdad1a908b9f27776b5890128cd4c010a9a3e26c7b8d80","sha256:f182ba8f5a4974fd228a5ecc72d4e40d671f59ced072fd4ac3e8548601aff320"],"state_sha256":"a6b64335506e9b6e0fe24126588cec7f0918b3d22446409e709d1bc6c1a32756"}