{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:DXVHCZ6XVJTE2HLNTJPPEKCNCK","short_pith_number":"pith:DXVHCZ6X","schema_version":"1.0","canonical_sha256":"1dea7167d7aa664d1d6d9a5ef2284d12a982b8c13f6724d7bde8a0a0d0fcdb70","source":{"kind":"arxiv","id":"1403.6943","version":2},"attestation_state":"computed","paper":{"title":"Partition functions and the continuum limit in Penner matrix models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP","nlin.SI"],"primary_cat":"math-ph","authors_text":"Elena Medina, Gabriel \\'Alvarez, Luis Mart\\'inez Alonso","submitted_at":"2014-03-27T08:08:34Z","abstract_excerpt":"We present an implementation of the method of orthogonal polynomials which is particularly suitable to study the partition functions of Penner random matrix models, to obtain their explicit forms in the exactly solvable cases, and to determine the coefficients of their perturbative expansions in the continuum limit. The method relies on identities satisfied by the resolvent of the Jacobi matrix in the three-term recursion relation of the associated families of orthogonal polynomials. These identities lead to a convenient formulation of the string equations. As an application, we show that in t"},"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":"1403.6943","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-03-27T08:08:34Z","cross_cats_sorted":["math.MP","nlin.SI"],"title_canon_sha256":"514913737bcbd1f5a2defab06e10efa9db7bbd5509207f62f81e72bd3fabc2ff","abstract_canon_sha256":"1c8c17ffcdde66c8f3880dcbf199a9634491f12216396eb4e5217b3200eeb34d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:47:05.370676Z","signature_b64":"VGSRdh/VZebrl7b985XCPC1oUJH7RuhsV/shiKyrmMAMIHAie1i6vUOJ3TuXBk3DCQqM/1SJcW76FYWv2nMPAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1dea7167d7aa664d1d6d9a5ef2284d12a982b8c13f6724d7bde8a0a0d0fcdb70","last_reissued_at":"2026-05-18T02:47:05.370244Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:47:05.370244Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Partition functions and the continuum limit in Penner matrix models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP","nlin.SI"],"primary_cat":"math-ph","authors_text":"Elena Medina, Gabriel \\'Alvarez, Luis Mart\\'inez Alonso","submitted_at":"2014-03-27T08:08:34Z","abstract_excerpt":"We present an implementation of the method of orthogonal polynomials which is particularly suitable to study the partition functions of Penner random matrix models, to obtain their explicit forms in the exactly solvable cases, and to determine the coefficients of their perturbative expansions in the continuum limit. The method relies on identities satisfied by the resolvent of the Jacobi matrix in the three-term recursion relation of the associated families of orthogonal polynomials. These identities lead to a convenient formulation of the string equations. As an application, we show that in t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.6943","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":"1403.6943","created_at":"2026-05-18T02:47:05.370304+00:00"},{"alias_kind":"arxiv_version","alias_value":"1403.6943v2","created_at":"2026-05-18T02:47:05.370304+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.6943","created_at":"2026-05-18T02:47:05.370304+00:00"},{"alias_kind":"pith_short_12","alias_value":"DXVHCZ6XVJTE","created_at":"2026-05-18T12:28:25.294606+00:00"},{"alias_kind":"pith_short_16","alias_value":"DXVHCZ6XVJTE2HLN","created_at":"2026-05-18T12:28:25.294606+00:00"},{"alias_kind":"pith_short_8","alias_value":"DXVHCZ6X","created_at":"2026-05-18T12:28:25.294606+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/DXVHCZ6XVJTE2HLNTJPPEKCNCK","json":"https://pith.science/pith/DXVHCZ6XVJTE2HLNTJPPEKCNCK.json","graph_json":"https://pith.science/api/pith-number/DXVHCZ6XVJTE2HLNTJPPEKCNCK/graph.json","events_json":"https://pith.science/api/pith-number/DXVHCZ6XVJTE2HLNTJPPEKCNCK/events.json","paper":"https://pith.science/paper/DXVHCZ6X"},"agent_actions":{"view_html":"https://pith.science/pith/DXVHCZ6XVJTE2HLNTJPPEKCNCK","download_json":"https://pith.science/pith/DXVHCZ6XVJTE2HLNTJPPEKCNCK.json","view_paper":"https://pith.science/paper/DXVHCZ6X","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1403.6943&json=true","fetch_graph":"https://pith.science/api/pith-number/DXVHCZ6XVJTE2HLNTJPPEKCNCK/graph.json","fetch_events":"https://pith.science/api/pith-number/DXVHCZ6XVJTE2HLNTJPPEKCNCK/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/DXVHCZ6XVJTE2HLNTJPPEKCNCK/action/timestamp_anchor","attest_storage":"https://pith.science/pith/DXVHCZ6XVJTE2HLNTJPPEKCNCK/action/storage_attestation","attest_author":"https://pith.science/pith/DXVHCZ6XVJTE2HLNTJPPEKCNCK/action/author_attestation","sign_citation":"https://pith.science/pith/DXVHCZ6XVJTE2HLNTJPPEKCNCK/action/citation_signature","submit_replication":"https://pith.science/pith/DXVHCZ6XVJTE2HLNTJPPEKCNCK/action/replication_record"}},"created_at":"2026-05-18T02:47:05.370304+00:00","updated_at":"2026-05-18T02:47:05.370304+00:00"}