{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:K2IC7MS7QETWE4E7RJUXLHJF2G","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":"e50f2dc3a4dd4650ac0d765c60d8faf9cb35a8aa26c69e92efe3049b2040cf33","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-04-29T05:23:49Z","title_canon_sha256":"bf9be59df18b8d83e710da7beae6f0aad79f446f01de83f82866d866bbda3cf8"},"schema_version":"1.0","source":{"id":"2004.13960","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2004.13960","created_at":"2026-07-05T01:19:03Z"},{"alias_kind":"arxiv_version","alias_value":"2004.13960v2","created_at":"2026-07-05T01:19:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2004.13960","created_at":"2026-07-05T01:19:03Z"},{"alias_kind":"pith_short_12","alias_value":"K2IC7MS7QETW","created_at":"2026-07-05T01:19:03Z"},{"alias_kind":"pith_short_16","alias_value":"K2IC7MS7QETWE4E7","created_at":"2026-07-05T01:19:03Z"},{"alias_kind":"pith_short_8","alias_value":"K2IC7MS7","created_at":"2026-07-05T01:19:03Z"}],"graph_snapshots":[{"event_id":"sha256:579aeef569c2daffbe799cf835dd5475df72c8454411d32a5509f55e7a86761f","target":"graph","created_at":"2026-07-05T01:19:03Z","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/2004.13960/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We propose, following the AGT correspondence, how the $\\mathcal{W}^{\\, para}_{N, n}$ ($n$-th parafermion $\\mathcal{W}_N$) minimal model characters are obtained from the $U(N)$ instanton counting on ${\\mathbb {C}}^2/{\\mathbb {Z}}_n$ with $\\Omega$-deformation by imposing specific conditions which remove the minimal model null states.","authors_text":"Masahide Manabe","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-04-29T05:23:49Z","title":"$n$-th parafermion $\\mathcal{W}_N$ characters from $U(N)$ instanton counting on ${\\mathbb {C}}^2/{\\mathbb {Z}}_n$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2004.13960","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":"sha256:08890ff2a9b68cfd475b4ad2a5717f5286f55ee95b708988beca30663a0e2a2d","target":"record","created_at":"2026-07-05T01:19:03Z","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":"e50f2dc3a4dd4650ac0d765c60d8faf9cb35a8aa26c69e92efe3049b2040cf33","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-04-29T05:23:49Z","title_canon_sha256":"bf9be59df18b8d83e710da7beae6f0aad79f446f01de83f82866d866bbda3cf8"},"schema_version":"1.0","source":{"id":"2004.13960","kind":"arxiv","version":2}},"canonical_sha256":"56902fb25f812762709f8a69759d25d1bd76f20a59e2bb539a92166af2c77387","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"56902fb25f812762709f8a69759d25d1bd76f20a59e2bb539a92166af2c77387","first_computed_at":"2026-07-05T01:19:03.211757Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:19:03.211757Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"sUuYB6K71p87eRLVsbEE6njLSWXsPD6TS7wLLesQNo9dbolGMKvO8qcg4aZJnXz4v5IQsyYogmtBFwKtbXuSBA==","signature_status":"signed_v1","signed_at":"2026-07-05T01:19:03.212240Z","signed_message":"canonical_sha256_bytes"},"source_id":"2004.13960","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:08890ff2a9b68cfd475b4ad2a5717f5286f55ee95b708988beca30663a0e2a2d","sha256:579aeef569c2daffbe799cf835dd5475df72c8454411d32a5509f55e7a86761f"],"state_sha256":"9b649a75a7276c6c0cd1fa68064eb6be2974e46f75d4f8a583dd68e4b8a90fec"}