{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:CVSUFACUPI2OM47R25447VUXN2","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":"73898624732dead3f3733f9230750e0886fdb47d60a63d15ce0cf74a4fc231f8","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2023-07-06T18:00:50Z","title_canon_sha256":"8787022bbd0c7b55127978cc0b06c741a0d1e6ce83423886523cd7b8fb004f8f"},"schema_version":"1.0","source":{"id":"2307.03235","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2307.03235","created_at":"2026-07-05T07:38:51Z"},{"alias_kind":"arxiv_version","alias_value":"2307.03235v3","created_at":"2026-07-05T07:38:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2307.03235","created_at":"2026-07-05T07:38:51Z"},{"alias_kind":"pith_short_12","alias_value":"CVSUFACUPI2O","created_at":"2026-07-05T07:38:51Z"},{"alias_kind":"pith_short_16","alias_value":"CVSUFACUPI2OM47R","created_at":"2026-07-05T07:38:51Z"},{"alias_kind":"pith_short_8","alias_value":"CVSUFACU","created_at":"2026-07-05T07:38:51Z"}],"graph_snapshots":[{"event_id":"sha256:7a0b2e5844edcaf75db9cd3b7d3bbef2d0e0dfbc208b43e15b2af5f8e6be2cad","target":"graph","created_at":"2026-07-05T07:38:51Z","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/2307.03235/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study generating functions of $\\frac{1}{4}$-BPS states in $\\mathcal{N}=4$ super Yang-Mills at finite $N$ by attempting to generalize the Harish-Chandra-Itzykson-Zuber integral to multiple commuting matrices. This allows us to compute the overlaps of two or more generating functions; such calculations arise in the computation of two-point correlators in the free-field limit. We discuss the four-matrix HCIZ integral in the $U(2)$ context and lay out a prescription for finding a more general formula for $N>2$. We then discuss its connections with the restricted Schur polynomial operator basis.","authors_text":"Adolfo Holguin, Shannon Wang, Zi-Yue Wang","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2023-07-06T18:00:50Z","title":"Multi-matrix correlators and localization"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2307.03235","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":"sha256:38eed47ee419cd6cfdf84d7035518941e7babf3799d42fec16f7a41f69fe95d1","target":"record","created_at":"2026-07-05T07:38:51Z","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":"73898624732dead3f3733f9230750e0886fdb47d60a63d15ce0cf74a4fc231f8","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2023-07-06T18:00:50Z","title_canon_sha256":"8787022bbd0c7b55127978cc0b06c741a0d1e6ce83423886523cd7b8fb004f8f"},"schema_version":"1.0","source":{"id":"2307.03235","kind":"arxiv","version":3}},"canonical_sha256":"15654280547a34e673f1d779cfd6976eada182611cbc3e74e6faf56f89eed1db","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"15654280547a34e673f1d779cfd6976eada182611cbc3e74e6faf56f89eed1db","first_computed_at":"2026-07-05T07:38:51.077638Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T07:38:51.077638Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"v5kWdH6N9D4in8PPn+bDivTdIh9klA48JIuvkwDEsjek9meSi6t6+8PIrrXvgqZXJkqoufmyPFmlUFsFkkuDDQ==","signature_status":"signed_v1","signed_at":"2026-07-05T07:38:51.078189Z","signed_message":"canonical_sha256_bytes"},"source_id":"2307.03235","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:38eed47ee419cd6cfdf84d7035518941e7babf3799d42fec16f7a41f69fe95d1","sha256:7a0b2e5844edcaf75db9cd3b7d3bbef2d0e0dfbc208b43e15b2af5f8e6be2cad"],"state_sha256":"3fe8bd6cdd3336c29a09899bdc9291d2caa5d4dabd405310f286f9d6d15ded42"}