{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:Z6YDHHOMARHO2ZY25GJ3RM3ZXC","short_pith_number":"pith:Z6YDHHOM","schema_version":"1.0","canonical_sha256":"cfb0339dcc044eed671ae993b8b379b8aed2445c352665bd5cd27899b908d951","source":{"kind":"arxiv","id":"1205.3520","version":2},"attestation_state":"computed","paper":{"title":"Yang-Baxter equation, parameter permutations, and the elliptic beta integral","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math.MP"],"primary_cat":"math-ph","authors_text":"S. E. Derkachov, V. P. Spiridonov","submitted_at":"2012-05-15T21:53:08Z","abstract_excerpt":"We construct an infinite-dimensional solution of the Yang-Baxter equation (YBE) of rank 1 which is represented as an integral operator with an elliptic hypergeometric kernel acting in the space of functions of two complex variables. This R-operator intertwines the product of two standard L-operators associated with the Sklyanin algebra, an elliptic deformation of sl(2)-algebra. It is built from three basic operators $\\mathrm{S}_1, \\mathrm{S}_2$, and $\\mathrm{S}_3$ generating the permutation group of four parameters $\\mathfrak{S}_4$. Validity of the key Coxeter relations (including the star-tri"},"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":"1205.3520","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-05-15T21:53:08Z","cross_cats_sorted":["hep-th","math.MP"],"title_canon_sha256":"648c00af046d34c9247f56f6265973fa2a1ceaa13f1c24489ad6334843476b5b","abstract_canon_sha256":"df308c7b86d2b9781a9241662a1cb01d72344120421238f6fa9706ed2ef9ba1e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:57:31.756800Z","signature_b64":"0V6+dJngUZu+tBcgV3UddUnF08Iq2cdc5TCL3PUa+4gIjeM5+G/WDuIkPTwnPjwO45kW3A4ZsUa1ld8PzCyABg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cfb0339dcc044eed671ae993b8b379b8aed2445c352665bd5cd27899b908d951","last_reissued_at":"2026-05-18T01:57:31.756264Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:57:31.756264Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Yang-Baxter equation, parameter permutations, and the elliptic beta integral","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math.MP"],"primary_cat":"math-ph","authors_text":"S. E. Derkachov, V. P. Spiridonov","submitted_at":"2012-05-15T21:53:08Z","abstract_excerpt":"We construct an infinite-dimensional solution of the Yang-Baxter equation (YBE) of rank 1 which is represented as an integral operator with an elliptic hypergeometric kernel acting in the space of functions of two complex variables. This R-operator intertwines the product of two standard L-operators associated with the Sklyanin algebra, an elliptic deformation of sl(2)-algebra. It is built from three basic operators $\\mathrm{S}_1, \\mathrm{S}_2$, and $\\mathrm{S}_3$ generating the permutation group of four parameters $\\mathfrak{S}_4$. Validity of the key Coxeter relations (including the star-tri"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1205.3520","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":"1205.3520","created_at":"2026-05-18T01:57:31.756332+00:00"},{"alias_kind":"arxiv_version","alias_value":"1205.3520v2","created_at":"2026-05-18T01:57:31.756332+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1205.3520","created_at":"2026-05-18T01:57:31.756332+00:00"},{"alias_kind":"pith_short_12","alias_value":"Z6YDHHOMARHO","created_at":"2026-05-18T12:27:30.460161+00:00"},{"alias_kind":"pith_short_16","alias_value":"Z6YDHHOMARHO2ZY2","created_at":"2026-05-18T12:27:30.460161+00:00"},{"alias_kind":"pith_short_8","alias_value":"Z6YDHHOM","created_at":"2026-05-18T12:27:30.460161+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/Z6YDHHOMARHO2ZY25GJ3RM3ZXC","json":"https://pith.science/pith/Z6YDHHOMARHO2ZY25GJ3RM3ZXC.json","graph_json":"https://pith.science/api/pith-number/Z6YDHHOMARHO2ZY25GJ3RM3ZXC/graph.json","events_json":"https://pith.science/api/pith-number/Z6YDHHOMARHO2ZY25GJ3RM3ZXC/events.json","paper":"https://pith.science/paper/Z6YDHHOM"},"agent_actions":{"view_html":"https://pith.science/pith/Z6YDHHOMARHO2ZY25GJ3RM3ZXC","download_json":"https://pith.science/pith/Z6YDHHOMARHO2ZY25GJ3RM3ZXC.json","view_paper":"https://pith.science/paper/Z6YDHHOM","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1205.3520&json=true","fetch_graph":"https://pith.science/api/pith-number/Z6YDHHOMARHO2ZY25GJ3RM3ZXC/graph.json","fetch_events":"https://pith.science/api/pith-number/Z6YDHHOMARHO2ZY25GJ3RM3ZXC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/Z6YDHHOMARHO2ZY25GJ3RM3ZXC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/Z6YDHHOMARHO2ZY25GJ3RM3ZXC/action/storage_attestation","attest_author":"https://pith.science/pith/Z6YDHHOMARHO2ZY25GJ3RM3ZXC/action/author_attestation","sign_citation":"https://pith.science/pith/Z6YDHHOMARHO2ZY25GJ3RM3ZXC/action/citation_signature","submit_replication":"https://pith.science/pith/Z6YDHHOMARHO2ZY25GJ3RM3ZXC/action/replication_record"}},"created_at":"2026-05-18T01:57:31.756332+00:00","updated_at":"2026-05-18T01:57:31.756332+00:00"}