{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:GNCVZM7PT6TYQDHB2STVRUMZQM","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":"eeeee918b0cf68507ad85c61f64696d27dc4bbec2e37a1536b45b926e8a7e977","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-08-27T11:40:48Z","title_canon_sha256":"0ff0c09b655a43b5b3ef4b9ae5c31cef727b7f0fbe4c921f1f3bbbf4b170e01a"},"schema_version":"1.0","source":{"id":"1508.06813","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1508.06813","created_at":"2026-07-05T02:49:48Z"},{"alias_kind":"arxiv_version","alias_value":"1508.06813v3","created_at":"2026-07-05T02:49:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1508.06813","created_at":"2026-07-05T02:49:48Z"},{"alias_kind":"pith_short_12","alias_value":"GNCVZM7PT6TY","created_at":"2026-07-05T02:49:48Z"},{"alias_kind":"pith_short_16","alias_value":"GNCVZM7PT6TYQDHB","created_at":"2026-07-05T02:49:48Z"},{"alias_kind":"pith_short_8","alias_value":"GNCVZM7P","created_at":"2026-07-05T02:49:48Z"}],"graph_snapshots":[{"event_id":"sha256:44b1bf9f4eaed0b543a0fc1016cd60d18a296d2d494d8a36a96d15eebf6433f8","target":"graph","created_at":"2026-07-05T02:49:48Z","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/1508.06813/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The moduli space of instantons on an ALE space is studied using the moduli space of $\\mathcal{N}=4$ field theories in three dimensions. For instantons in a simple gauge group $G$ on $\\mathbb{C}^2/\\mathbb{Z}_n$, the Hilbert series of such an instanton moduli space is computed from the Coulomb branch of the quiver given by the affine Dynkin diagram of $G$ with flavour nodes of unitary groups attached to various nodes of the Dynkin diagram. We provide a simple prescription to determine the ranks and the positions of these flavour nodes from the order of the orbifold $n$ and from the residual subg","authors_text":"Noppadol Mekareeya","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-08-27T11:40:48Z","title":"The moduli space of instantons on an ALE space from 3d $\\mathcal{N}=4$ field theories"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1508.06813","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":"sha256:3bbe406d52bb701f62df3a019ed7e01f45bd96393aa8d355339e0f009863de52","target":"record","created_at":"2026-07-05T02:49:48Z","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":"eeeee918b0cf68507ad85c61f64696d27dc4bbec2e37a1536b45b926e8a7e977","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-08-27T11:40:48Z","title_canon_sha256":"0ff0c09b655a43b5b3ef4b9ae5c31cef727b7f0fbe4c921f1f3bbbf4b170e01a"},"schema_version":"1.0","source":{"id":"1508.06813","kind":"arxiv","version":3}},"canonical_sha256":"33455cb3ef9fa7880ce1d4a758d19983088eee5a1a59d9d6c2f8e0fee017082e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"33455cb3ef9fa7880ce1d4a758d19983088eee5a1a59d9d6c2f8e0fee017082e","first_computed_at":"2026-07-05T02:49:48.111332Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:49:48.111332Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"unJvVJ2mz1hj+qkOdMCsIfQ35Wq7g/FQ2GHsVtVWnhRaOOPHFRw2peZBo5lQ9IiDlATUJolMFdwhsEKwVktrCQ==","signature_status":"signed_v1","signed_at":"2026-07-05T02:49:48.111712Z","signed_message":"canonical_sha256_bytes"},"source_id":"1508.06813","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3bbe406d52bb701f62df3a019ed7e01f45bd96393aa8d355339e0f009863de52","sha256:44b1bf9f4eaed0b543a0fc1016cd60d18a296d2d494d8a36a96d15eebf6433f8"],"state_sha256":"e398a81633a1b93c837aed6af092942e5ae43a6d7636717b13dc1c92cfa52b53"}