{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2021:RZ2BCSIVXXBEXFAQU4YVJFHHZX","short_pith_number":"pith:RZ2BCSIV","schema_version":"1.0","canonical_sha256":"8e74114915bdc24b9410a7315494e7cdf2fef47c210427cd4b95e1898ff915e4","source":{"kind":"arxiv","id":"2110.15009","version":3},"attestation_state":"computed","paper":{"title":"Classical conformal blocks, Coulomb gas integrals and Richardson-Gaudin models","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cond-mat.mes-hall"],"primary_cat":"hep-th","authors_text":"A. Puente, A.R. Pietrykowski, M.R. Piatek, R.G. Nazmitdinov","submitted_at":"2021-10-28T10:45:58Z","abstract_excerpt":"Virasoro conformal blocks are universal ingredients of correlation functions of two-dimensional conformal field theories (2d CFTs) with Virasoro symmetry. It is acknowledged that in the (classical) limit of large central charge of the Virasoro algebra and large external, and intermediate conformal weights with fixed ratios of these parameters Virasoro blocks exponentiate to functions known as Zamolodchikovs' classical blocks. The latter are special functions which have awesome mathematical and physical applications. Uniformization, monodromy problems, black holes physics, quantum gravity, enta"},"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":"2110.15009","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2021-10-28T10:45:58Z","cross_cats_sorted":["cond-mat.mes-hall"],"title_canon_sha256":"89b9b17ee11acad3f89c7e7def6f5d1ebf7acffa92691bc9cf732e0a580b6a34","abstract_canon_sha256":"a5c444a19c6a16c6bf14f23801b0088c8e931f0cf45dffe16328241fb25935c1"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T04:19:37.923170Z","signature_b64":"SdcT6kGrkAcd5uVjPE+QtHc0v53F7p8coLArDAJ4Vk0rqpzYnelMFzLOOef+2QQ9JUu8LnxSIW6TyPDvq/8mBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8e74114915bdc24b9410a7315494e7cdf2fef47c210427cd4b95e1898ff915e4","last_reissued_at":"2026-07-05T04:19:37.922711Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T04:19:37.922711Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Classical conformal blocks, Coulomb gas integrals and Richardson-Gaudin models","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cond-mat.mes-hall"],"primary_cat":"hep-th","authors_text":"A. Puente, A.R. Pietrykowski, M.R. Piatek, R.G. Nazmitdinov","submitted_at":"2021-10-28T10:45:58Z","abstract_excerpt":"Virasoro conformal blocks are universal ingredients of correlation functions of two-dimensional conformal field theories (2d CFTs) with Virasoro symmetry. It is acknowledged that in the (classical) limit of large central charge of the Virasoro algebra and large external, and intermediate conformal weights with fixed ratios of these parameters Virasoro blocks exponentiate to functions known as Zamolodchikovs' classical blocks. The latter are special functions which have awesome mathematical and physical applications. Uniformization, monodromy problems, black holes physics, quantum gravity, enta"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2110.15009","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2110.15009/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2110.15009","created_at":"2026-07-05T04:19:37.922771+00:00"},{"alias_kind":"arxiv_version","alias_value":"2110.15009v3","created_at":"2026-07-05T04:19:37.922771+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2110.15009","created_at":"2026-07-05T04:19:37.922771+00:00"},{"alias_kind":"pith_short_12","alias_value":"RZ2BCSIVXXBE","created_at":"2026-07-05T04:19:37.922771+00:00"},{"alias_kind":"pith_short_16","alias_value":"RZ2BCSIVXXBEXFAQ","created_at":"2026-07-05T04:19:37.922771+00:00"},{"alias_kind":"pith_short_8","alias_value":"RZ2BCSIV","created_at":"2026-07-05T04:19:37.922771+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2506.01766","citing_title":"Janus correlators and Heun's equation","ref_index":61,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/RZ2BCSIVXXBEXFAQU4YVJFHHZX","json":"https://pith.science/pith/RZ2BCSIVXXBEXFAQU4YVJFHHZX.json","graph_json":"https://pith.science/api/pith-number/RZ2BCSIVXXBEXFAQU4YVJFHHZX/graph.json","events_json":"https://pith.science/api/pith-number/RZ2BCSIVXXBEXFAQU4YVJFHHZX/events.json","paper":"https://pith.science/paper/RZ2BCSIV"},"agent_actions":{"view_html":"https://pith.science/pith/RZ2BCSIVXXBEXFAQU4YVJFHHZX","download_json":"https://pith.science/pith/RZ2BCSIVXXBEXFAQU4YVJFHHZX.json","view_paper":"https://pith.science/paper/RZ2BCSIV","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2110.15009&json=true","fetch_graph":"https://pith.science/api/pith-number/RZ2BCSIVXXBEXFAQU4YVJFHHZX/graph.json","fetch_events":"https://pith.science/api/pith-number/RZ2BCSIVXXBEXFAQU4YVJFHHZX/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/RZ2BCSIVXXBEXFAQU4YVJFHHZX/action/timestamp_anchor","attest_storage":"https://pith.science/pith/RZ2BCSIVXXBEXFAQU4YVJFHHZX/action/storage_attestation","attest_author":"https://pith.science/pith/RZ2BCSIVXXBEXFAQU4YVJFHHZX/action/author_attestation","sign_citation":"https://pith.science/pith/RZ2BCSIVXXBEXFAQU4YVJFHHZX/action/citation_signature","submit_replication":"https://pith.science/pith/RZ2BCSIVXXBEXFAQU4YVJFHHZX/action/replication_record"}},"created_at":"2026-07-05T04:19:37.922771+00:00","updated_at":"2026-07-05T04:19:37.922771+00:00"}