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The latter is the generating function for volumes of discretized (open) moduli spaces $M_{g,s}^{\\mathrm{disc}}$ given by $N_{g,s}(P_1,\\dots,P_s)$ for $(P_1,\\dots,P_s)\\in{\\mathbb Z}_+^s$. This generating function therefore enjoys the topological recursion, and we prove that it is simultaneously the generating function for ancestor invariants of a cohomological field theory thus enjoying the Givental dec"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1501.05867","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-01-23T16:52:34Z","cross_cats_sorted":["math-ph","math.AG","math.GT","math.MP"],"title_canon_sha256":"0e2f75d25416691c2ed169bf78e1ffc558f4570cb4c4d8ce980f01a103f737d5","abstract_canon_sha256":"bea54d60e9e889aa96a5d6fc79048422ea095c4022f18cb2a7952fb1e28fc5b4"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:28:48.826015Z","signature_b64":"H8Hy/rvwJ3qThp2nlXoCn43wGBxP7fyf0OHTHTcEhKiUqNMw/+9snKY4AqLe1qPh5toLcH2yrC25t4g3iw9WCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d92ecbdc95018d55b59cdafe089e2c68f7da9bfad68ba439fedb5599c31e66bf","last_reissued_at":"2026-05-18T02:28:48.825681Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:28:48.825681Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Models of discretized moduli spaces, cohomological field theories, and Gaussian means","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.AG","math.GT","math.MP"],"primary_cat":"hep-th","authors_text":"J{\\o}rgen Ellegaard Andersen, Leonid O. Chekhov, Paul Norbury, Robert C. Penner","submitted_at":"2015-01-23T16:52:34Z","abstract_excerpt":"We prove combinatorially the explicit relation between genus filtrated $s$-loop means of the Gaussian matrix model and terms of the genus expansion of the Kontsevich--Penner matrix model (KPMM). The latter is the generating function for volumes of discretized (open) moduli spaces $M_{g,s}^{\\mathrm{disc}}$ given by $N_{g,s}(P_1,\\dots,P_s)$ for $(P_1,\\dots,P_s)\\in{\\mathbb Z}_+^s$. 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