{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:LRCOTY6CM5HR3YGXB5IVH24YNU","short_pith_number":"pith:LRCOTY6C","canonical_record":{"source":{"id":"1309.0812","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-09-03T20:00:00Z","cross_cats_sorted":[],"title_canon_sha256":"399734747e0e8133a2361403840d11da257072b64c814f7abd318203c8fb8925","abstract_canon_sha256":"7962fba98e5fb79626c121b307b34c6213b9d786a9afe775490884767b2184a2"},"schema_version":"1.0"},"canonical_sha256":"5c44e9e3c2674f1de0d70f5153eb986d0c03d3de0186d669896ed5b82bec94c2","source":{"kind":"arxiv","id":"1309.0812","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1309.0812","created_at":"2026-05-18T02:59:47Z"},{"alias_kind":"arxiv_version","alias_value":"1309.0812v1","created_at":"2026-05-18T02:59:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1309.0812","created_at":"2026-05-18T02:59:47Z"},{"alias_kind":"pith_short_12","alias_value":"LRCOTY6CM5HR","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_16","alias_value":"LRCOTY6CM5HR3YGX","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_8","alias_value":"LRCOTY6C","created_at":"2026-05-18T12:27:51Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:LRCOTY6CM5HR3YGXB5IVH24YNU","target":"record","payload":{"canonical_record":{"source":{"id":"1309.0812","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-09-03T20:00:00Z","cross_cats_sorted":[],"title_canon_sha256":"399734747e0e8133a2361403840d11da257072b64c814f7abd318203c8fb8925","abstract_canon_sha256":"7962fba98e5fb79626c121b307b34c6213b9d786a9afe775490884767b2184a2"},"schema_version":"1.0"},"canonical_sha256":"5c44e9e3c2674f1de0d70f5153eb986d0c03d3de0186d669896ed5b82bec94c2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:59:47.793345Z","signature_b64":"2hd15KGFo5a2Tgksg8ZbftD/kOidITExxeyvaims8fzmX+7GNETKVcI7OxaDEcjs4yPlv+7w8Azg6H0OFdoADw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5c44e9e3c2674f1de0d70f5153eb986d0c03d3de0186d669896ed5b82bec94c2","last_reissued_at":"2026-05-18T02:59:47.792426Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:59:47.792426Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1309.0812","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:59:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YvtlOTGY3+hCD8IqDHvV17LKjY1JT46KdG0fp2SPv/wNrjBv9DncQP+MGFBHV3zzWLnr1ROn0CSwpvMfxYU6BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T12:56:16.826558Z"},"content_sha256":"565ec8152b2b8a351b0535e3d2f2223fb8648692512a54ed46edad2934460f29","schema_version":"1.0","event_id":"sha256:565ec8152b2b8a351b0535e3d2f2223fb8648692512a54ed46edad2934460f29"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:LRCOTY6CM5HR3YGXB5IVH24YNU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Hilbert Series for Moduli Spaces of Instantons on C^2/Z_n","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Amihay Hanany, Anindya Dey, Diego Rodriguez-Gomez, Noppadol Mekareeya, Rak-Kyeong Seong","submitted_at":"2013-09-03T20:00:00Z","abstract_excerpt":"We study chiral gauge-invariant operators on moduli spaces of G instantons for any classical group G on A-type ALE spaces using Hilbert Series (HS). Moduli spaces of instantons on an ALE space can be realized as Higgs branches of certain quiver gauge theories which appear as world-volume theories on Dp branes in a Dp-D(p+4) system with the D(p+4) branes (with or without O(p+4) planes) wrapping the ALE space. We study in detail a list of quiver gauge theories which are related to G-instantons of arbitrary ranks and instanton numbers on a generic A_{n-1} ALE space and discuss the corresponding b"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1309.0812","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:59:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Mcw8h8I50zLQNBH4tzQbHQuKJyCjNPrugtEVT/MUMyQBNS7qmjIz2ZFosJM8mOl1X+qcm7UVJ1N14g02vqueCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T12:56:16.827184Z"},"content_sha256":"cdc5c4ef4cc9e55533b702592bd2c2834824a06c807eafae51a6e679a5777759","schema_version":"1.0","event_id":"sha256:cdc5c4ef4cc9e55533b702592bd2c2834824a06c807eafae51a6e679a5777759"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LRCOTY6CM5HR3YGXB5IVH24YNU/bundle.json","state_url":"https://pith.science/pith/LRCOTY6CM5HR3YGXB5IVH24YNU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LRCOTY6CM5HR3YGXB5IVH24YNU/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-31T12:56:16Z","links":{"resolver":"https://pith.science/pith/LRCOTY6CM5HR3YGXB5IVH24YNU","bundle":"https://pith.science/pith/LRCOTY6CM5HR3YGXB5IVH24YNU/bundle.json","state":"https://pith.science/pith/LRCOTY6CM5HR3YGXB5IVH24YNU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LRCOTY6CM5HR3YGXB5IVH24YNU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:LRCOTY6CM5HR3YGXB5IVH24YNU","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":"7962fba98e5fb79626c121b307b34c6213b9d786a9afe775490884767b2184a2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-09-03T20:00:00Z","title_canon_sha256":"399734747e0e8133a2361403840d11da257072b64c814f7abd318203c8fb8925"},"schema_version":"1.0","source":{"id":"1309.0812","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1309.0812","created_at":"2026-05-18T02:59:47Z"},{"alias_kind":"arxiv_version","alias_value":"1309.0812v1","created_at":"2026-05-18T02:59:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1309.0812","created_at":"2026-05-18T02:59:47Z"},{"alias_kind":"pith_short_12","alias_value":"LRCOTY6CM5HR","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_16","alias_value":"LRCOTY6CM5HR3YGX","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_8","alias_value":"LRCOTY6C","created_at":"2026-05-18T12:27:51Z"}],"graph_snapshots":[{"event_id":"sha256:cdc5c4ef4cc9e55533b702592bd2c2834824a06c807eafae51a6e679a5777759","target":"graph","created_at":"2026-05-18T02:59:47Z","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":"We study chiral gauge-invariant operators on moduli spaces of G instantons for any classical group G on A-type ALE spaces using Hilbert Series (HS). Moduli spaces of instantons on an ALE space can be realized as Higgs branches of certain quiver gauge theories which appear as world-volume theories on Dp branes in a Dp-D(p+4) system with the D(p+4) branes (with or without O(p+4) planes) wrapping the ALE space. We study in detail a list of quiver gauge theories which are related to G-instantons of arbitrary ranks and instanton numbers on a generic A_{n-1} ALE space and discuss the corresponding b","authors_text":"Amihay Hanany, Anindya Dey, Diego Rodriguez-Gomez, Noppadol Mekareeya, Rak-Kyeong Seong","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-09-03T20:00:00Z","title":"Hilbert Series for Moduli Spaces of Instantons on C^2/Z_n"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1309.0812","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":"sha256:565ec8152b2b8a351b0535e3d2f2223fb8648692512a54ed46edad2934460f29","target":"record","created_at":"2026-05-18T02:59:47Z","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":"7962fba98e5fb79626c121b307b34c6213b9d786a9afe775490884767b2184a2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-09-03T20:00:00Z","title_canon_sha256":"399734747e0e8133a2361403840d11da257072b64c814f7abd318203c8fb8925"},"schema_version":"1.0","source":{"id":"1309.0812","kind":"arxiv","version":1}},"canonical_sha256":"5c44e9e3c2674f1de0d70f5153eb986d0c03d3de0186d669896ed5b82bec94c2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5c44e9e3c2674f1de0d70f5153eb986d0c03d3de0186d669896ed5b82bec94c2","first_computed_at":"2026-05-18T02:59:47.792426Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:59:47.792426Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2hd15KGFo5a2Tgksg8ZbftD/kOidITExxeyvaims8fzmX+7GNETKVcI7OxaDEcjs4yPlv+7w8Azg6H0OFdoADw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:59:47.793345Z","signed_message":"canonical_sha256_bytes"},"source_id":"1309.0812","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:565ec8152b2b8a351b0535e3d2f2223fb8648692512a54ed46edad2934460f29","sha256:cdc5c4ef4cc9e55533b702592bd2c2834824a06c807eafae51a6e679a5777759"],"state_sha256":"03342d7992750d1110ac670c09fb58968a39a1871f8557bc737f8708934970b2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hG4JYJBdbofZVdGxEDtSqGZ0USFO8D7usNs32YB5i+kH+gIAEK5gk6OKL3murxm8OZa/8d6cGqIx1DH+xxEEBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T12:56:16.830455Z","bundle_sha256":"c005f035012b2a8ac0cbea941a6e4139d9e2624f704e0a4f404e8efbb238dd89"}}