{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:PNTRJFH7CJHAAL2OCFZU6JKQRJ","short_pith_number":"pith:PNTRJFH7","schema_version":"1.0","canonical_sha256":"7b671494ff124e002f4e11734f25508a7b0cc4f0da47a9a0a7aab79a0a8bbaa6","source":{"kind":"arxiv","id":"1502.02958","version":2},"attestation_state":"computed","paper":{"title":"Matrix models from operators and topological strings","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.AG","math.MP"],"primary_cat":"hep-th","authors_text":"Marcos Marino, Szabolcs Zakany","submitted_at":"2015-02-10T15:58:37Z","abstract_excerpt":"We propose a new family of matrix models whose 1/N expansion captures the all-genus topological string on toric Calabi-Yau threefolds. These matrix models are constructed from the trace class operators appearing in the quantization of the corresponding mirror curves. The fact that they provide a non-perturbative realization of the (standard) topological string follows from a recent conjecture connecting the spectral properties of these operators, to the enumerative invariants of the underlying Calabi-Yau threefolds. We study in detail the resulting matrix models for some simple geometries, lik"},"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":"1502.02958","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-02-10T15:58:37Z","cross_cats_sorted":["math-ph","math.AG","math.MP"],"title_canon_sha256":"196584d1614978f9463dd57d8d2db5d18fea8e00208f3485dd9ab6e043b865f6","abstract_canon_sha256":"8d1510977179949c27598539728ab376323fba0a2f1c9c3ab213486ada22e1d7"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:15:47.005159Z","signature_b64":"DAAZTsBacYB1fqg+pcTEsZ514op/zPbkCsIcKIYgUXXrpK206yBVu5m08zka/YfiB7Vw3SBj/0dFPJ2vYAlMDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7b671494ff124e002f4e11734f25508a7b0cc4f0da47a9a0a7aab79a0a8bbaa6","last_reissued_at":"2026-05-18T01:15:47.004726Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:15:47.004726Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Matrix models from operators and topological strings","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.AG","math.MP"],"primary_cat":"hep-th","authors_text":"Marcos Marino, Szabolcs Zakany","submitted_at":"2015-02-10T15:58:37Z","abstract_excerpt":"We propose a new family of matrix models whose 1/N expansion captures the all-genus topological string on toric Calabi-Yau threefolds. These matrix models are constructed from the trace class operators appearing in the quantization of the corresponding mirror curves. The fact that they provide a non-perturbative realization of the (standard) topological string follows from a recent conjecture connecting the spectral properties of these operators, to the enumerative invariants of the underlying Calabi-Yau threefolds. We study in detail the resulting matrix models for some simple geometries, lik"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.02958","kind":"arxiv","version":2},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1502.02958","created_at":"2026-05-18T01:15:47.004793+00:00"},{"alias_kind":"arxiv_version","alias_value":"1502.02958v2","created_at":"2026-05-18T01:15:47.004793+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.02958","created_at":"2026-05-18T01:15:47.004793+00:00"},{"alias_kind":"pith_short_12","alias_value":"PNTRJFH7CJHA","created_at":"2026-05-18T12:29:37.295048+00:00"},{"alias_kind":"pith_short_16","alias_value":"PNTRJFH7CJHAAL2O","created_at":"2026-05-18T12:29:37.295048+00:00"},{"alias_kind":"pith_short_8","alias_value":"PNTRJFH7","created_at":"2026-05-18T12:29:37.295048+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":3,"internal_anchor_count":3,"sample":[{"citing_arxiv_id":"2301.05214","citing_title":"All the D-Branes of Resurgence","ref_index":112,"is_internal_anchor":true},{"citing_arxiv_id":"2309.12046","citing_title":"Non-Perturbative Real Topological Strings","ref_index":64,"is_internal_anchor":true},{"citing_arxiv_id":"2603.19159","citing_title":"$S^3$ partition functions and Equivariant CY$_4 $/CY$_3$ correspondence from Quantum curves","ref_index":50,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/PNTRJFH7CJHAAL2OCFZU6JKQRJ","json":"https://pith.science/pith/PNTRJFH7CJHAAL2OCFZU6JKQRJ.json","graph_json":"https://pith.science/api/pith-number/PNTRJFH7CJHAAL2OCFZU6JKQRJ/graph.json","events_json":"https://pith.science/api/pith-number/PNTRJFH7CJHAAL2OCFZU6JKQRJ/events.json","paper":"https://pith.science/paper/PNTRJFH7"},"agent_actions":{"view_html":"https://pith.science/pith/PNTRJFH7CJHAAL2OCFZU6JKQRJ","download_json":"https://pith.science/pith/PNTRJFH7CJHAAL2OCFZU6JKQRJ.json","view_paper":"https://pith.science/paper/PNTRJFH7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1502.02958&json=true","fetch_graph":"https://pith.science/api/pith-number/PNTRJFH7CJHAAL2OCFZU6JKQRJ/graph.json","fetch_events":"https://pith.science/api/pith-number/PNTRJFH7CJHAAL2OCFZU6JKQRJ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/PNTRJFH7CJHAAL2OCFZU6JKQRJ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/PNTRJFH7CJHAAL2OCFZU6JKQRJ/action/storage_attestation","attest_author":"https://pith.science/pith/PNTRJFH7CJHAAL2OCFZU6JKQRJ/action/author_attestation","sign_citation":"https://pith.science/pith/PNTRJFH7CJHAAL2OCFZU6JKQRJ/action/citation_signature","submit_replication":"https://pith.science/pith/PNTRJFH7CJHAAL2OCFZU6JKQRJ/action/replication_record"}},"created_at":"2026-05-18T01:15:47.004793+00:00","updated_at":"2026-05-18T01:15:47.004793+00:00"}