{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1992:ANJSMOSNDKINURO34CCJNLGA3N","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":"d67762b1195c35319b059dea5248d1ace65af898b4b0b6108405329776fe7b6e","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"1992-03-04T10:21:00Z","title_canon_sha256":"f404b34af7ec86e63cccdd0dcc314dc3c6e7267a1d9022a5151ff70ba31bd84b"},"schema_version":"1.0","source":{"id":"hep-th/9203009","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9203009","created_at":"2026-07-04T15:55:19Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9203009v2","created_at":"2026-07-04T15:55:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9203009","created_at":"2026-07-04T15:55:19Z"},{"alias_kind":"pith_short_12","alias_value":"ANJSMOSNDKIN","created_at":"2026-07-04T15:55:19Z"},{"alias_kind":"pith_short_16","alias_value":"ANJSMOSNDKINURO3","created_at":"2026-07-04T15:55:19Z"},{"alias_kind":"pith_short_8","alias_value":"ANJSMOSN","created_at":"2026-07-04T15:55:19Z"}],"graph_snapshots":[{"event_id":"sha256:15d7f55e25293f3cb2b82a1ec773d8be0d1663b264d00135e4bbf6162a2d6968","target":"graph","created_at":"2026-07-04T15:55:19Z","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/hep-th/9203009/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We develop an iterative algorithm for the genus expansion of the hermitian $N\\times N$ one-matrix model ( = the Penner model in an external field). By introducing moments of the external field, we prove that the genus $g$ contribution to the $m$-loop correlator depends only on $3g-2+m$ lower moments ($3g-2$ for the partition function). We present the explicit results for the partition function and the one-loop correlator in genus one. We compare the correlators for the hermitian one-matrix model with those at zero momenta for $c=1$ CFT and show an agreement of the one-loop correlators for genu","authors_text":"J. Ambjorn, L. Chekhov, Yu. Makeenko","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"1992-03-04T10:21:00Z","title":"Higher Genus Correlators from the Hermitian One-Matrix Model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9203009","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":"sha256:5039179f2682e0ae638b338b27a70257a72233783de3c3098f856c5218ab5843","target":"record","created_at":"2026-07-04T15:55:19Z","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":"d67762b1195c35319b059dea5248d1ace65af898b4b0b6108405329776fe7b6e","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"1992-03-04T10:21:00Z","title_canon_sha256":"f404b34af7ec86e63cccdd0dcc314dc3c6e7267a1d9022a5151ff70ba31bd84b"},"schema_version":"1.0","source":{"id":"hep-th/9203009","kind":"arxiv","version":2}},"canonical_sha256":"0353263a4d1a90da45dbe08496acc0db4ca89c64b3810b61c26e7ae02ef63f1e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0353263a4d1a90da45dbe08496acc0db4ca89c64b3810b61c26e7ae02ef63f1e","first_computed_at":"2026-07-04T15:55:19.749828Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:55:19.749828Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"irEfa2VY26MY/60QnlrBnGbsrOit7kfCRWnlRWhvBVCT6LjFwHn3Nv8jXG0cmGq0rXJZ9uNltpKGUeJFPHxoAg==","signature_status":"signed_v1","signed_at":"2026-07-04T15:55:19.750234Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/9203009","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5039179f2682e0ae638b338b27a70257a72233783de3c3098f856c5218ab5843","sha256:15d7f55e25293f3cb2b82a1ec773d8be0d1663b264d00135e4bbf6162a2d6968"],"state_sha256":"d8c405ad287329d1cb5fc371f9243403d18f8c00b4d2c8bceff10ad98b51524b"}