{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2020:PB3EN3E6SEU6XCVQBII5NKF7WP","short_pith_number":"pith:PB3EN3E6","schema_version":"1.0","canonical_sha256":"787646ec9e9129eb8ab00a11d6a8bfb3d01bc4bcde3171add14534d8c484e96e","source":{"kind":"arxiv","id":"2009.11882","version":2},"attestation_state":"computed","paper":{"title":"From Gaudin Integrable Models to $d$-dimensional Multipoint Conformal Blocks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Ilija Buric, Jeremy A. Mann, Lorenzo Quintavalle, Sylvain Lacroix, Volker Schomerus","submitted_at":"2020-09-24T18:00:20Z","abstract_excerpt":"In this work we initiate an integrability-based approach to multipoint conformal blocks for higher dimensional conformal field theories. Our main observation is that conformal blocks for $N$-point functions may be considered as eigenfunctions of integrable Gaudin Hamiltonians. This provides us with a complete set of differential equations that can be used to evaluate multipoint blocks."},"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":"2009.11882","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-09-24T18:00:20Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"20474e659175f7ce0077c3502daa8470812c5a1ddca17eec1ae1b8ce5a1ecf87","abstract_canon_sha256":"c15428ca6c85bfaca97d84a07e2d2524483c9e9906d0c858e0c15a36ae4ceeed"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:10:17.445096Z","signature_b64":"EpGW+hk5LOLA0WcJUvu4j/vMMXmZdXd2jEb5NpCcYduzvNBif3JetehMDNynk6c5NEh43W6GSmAmdDSHNHA7Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"787646ec9e9129eb8ab00a11d6a8bfb3d01bc4bcde3171add14534d8c484e96e","last_reissued_at":"2026-07-05T02:10:17.444720Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:10:17.444720Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"From Gaudin Integrable Models to $d$-dimensional Multipoint Conformal Blocks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Ilija Buric, Jeremy A. Mann, Lorenzo Quintavalle, Sylvain Lacroix, Volker Schomerus","submitted_at":"2020-09-24T18:00:20Z","abstract_excerpt":"In this work we initiate an integrability-based approach to multipoint conformal blocks for higher dimensional conformal field theories. Our main observation is that conformal blocks for $N$-point functions may be considered as eigenfunctions of integrable Gaudin Hamiltonians. This provides us with a complete set of differential equations that can be used to evaluate multipoint blocks."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2009.11882","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2009.11882/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":"2009.11882","created_at":"2026-07-05T02:10:17.444775+00:00"},{"alias_kind":"arxiv_version","alias_value":"2009.11882v2","created_at":"2026-07-05T02:10:17.444775+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2009.11882","created_at":"2026-07-05T02:10:17.444775+00:00"},{"alias_kind":"pith_short_12","alias_value":"PB3EN3E6SEU6","created_at":"2026-07-05T02:10:17.444775+00:00"},{"alias_kind":"pith_short_16","alias_value":"PB3EN3E6SEU6XCVQ","created_at":"2026-07-05T02:10:17.444775+00:00"},{"alias_kind":"pith_short_8","alias_value":"PB3EN3E6","created_at":"2026-07-05T02:10:17.444775+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2605.27256","citing_title":"Thermal conformal partial waves from flat-space and defect CFT","ref_index":93,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/PB3EN3E6SEU6XCVQBII5NKF7WP","json":"https://pith.science/pith/PB3EN3E6SEU6XCVQBII5NKF7WP.json","graph_json":"https://pith.science/api/pith-number/PB3EN3E6SEU6XCVQBII5NKF7WP/graph.json","events_json":"https://pith.science/api/pith-number/PB3EN3E6SEU6XCVQBII5NKF7WP/events.json","paper":"https://pith.science/paper/PB3EN3E6"},"agent_actions":{"view_html":"https://pith.science/pith/PB3EN3E6SEU6XCVQBII5NKF7WP","download_json":"https://pith.science/pith/PB3EN3E6SEU6XCVQBII5NKF7WP.json","view_paper":"https://pith.science/paper/PB3EN3E6","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2009.11882&json=true","fetch_graph":"https://pith.science/api/pith-number/PB3EN3E6SEU6XCVQBII5NKF7WP/graph.json","fetch_events":"https://pith.science/api/pith-number/PB3EN3E6SEU6XCVQBII5NKF7WP/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/PB3EN3E6SEU6XCVQBII5NKF7WP/action/timestamp_anchor","attest_storage":"https://pith.science/pith/PB3EN3E6SEU6XCVQBII5NKF7WP/action/storage_attestation","attest_author":"https://pith.science/pith/PB3EN3E6SEU6XCVQBII5NKF7WP/action/author_attestation","sign_citation":"https://pith.science/pith/PB3EN3E6SEU6XCVQBII5NKF7WP/action/citation_signature","submit_replication":"https://pith.science/pith/PB3EN3E6SEU6XCVQBII5NKF7WP/action/replication_record"}},"created_at":"2026-07-05T02:10:17.444775+00:00","updated_at":"2026-07-05T02:10:17.444775+00:00"}