{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:Z6LQZ3VQDL4N75IU4Q7TRW4W7Q","short_pith_number":"pith:Z6LQZ3VQ","schema_version":"1.0","canonical_sha256":"cf970ceeb01af8dff514e43f38db96fc16959b89ee2de02a494aeef88ecfa5c0","source":{"kind":"arxiv","id":"1011.2207","version":2},"attestation_state":"computed","paper":{"title":"N=4 Multi-Particle Mechanics, WDVV Equation and Roots","license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","headline":"","cross_cats":["math-ph","math.MP","nlin.SI"],"primary_cat":"hep-th","authors_text":"Johannes Th\\\"urigen, Konrad Schwerdtfeger, Olaf Lechtenfeld","submitted_at":"2010-11-09T21:00:33Z","abstract_excerpt":"We review the relation of N=4 superconformal multi-particle models on the real line to the WDVV equation and an associated linear equation for two prepotentials, F and U. The superspace treatment gives another variant of the integrability problem, which we also reformulate as a search for closed flat Yang-Mills connections. Three- and four-particle solutions are presented. The covector ansatz turns the WDVV equation into an algebraic condition, for which we give a formulation in terms of partial isometries. Three ideas for classifying WDVV solutions are developed: ortho-polytopes, hypergraphs,"},"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":"1011.2207","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"hep-th","submitted_at":"2010-11-09T21:00:33Z","cross_cats_sorted":["math-ph","math.MP","nlin.SI"],"title_canon_sha256":"5e03fc8ebd09e90b82a2087fb4c4316edfbcc465fdc4efca54a461c181827cbd","abstract_canon_sha256":"d9b1bfff3e573c2338a0854b48a707a9f3f020ad269320117a74a883b45e0f68"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:22:11.263824Z","signature_b64":"M6g6HWMtGgSCKjsvrk8HJ3Qd4sJ7NCq3JA5rf0FJhFlVbtLjxdcE97uRwGvzKEdlFpSIFgi9vKCUxjuM4oSxDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cf970ceeb01af8dff514e43f38db96fc16959b89ee2de02a494aeef88ecfa5c0","last_reissued_at":"2026-05-18T04:22:11.263349Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:22:11.263349Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"N=4 Multi-Particle Mechanics, WDVV Equation and Roots","license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","headline":"","cross_cats":["math-ph","math.MP","nlin.SI"],"primary_cat":"hep-th","authors_text":"Johannes Th\\\"urigen, Konrad Schwerdtfeger, Olaf Lechtenfeld","submitted_at":"2010-11-09T21:00:33Z","abstract_excerpt":"We review the relation of N=4 superconformal multi-particle models on the real line to the WDVV equation and an associated linear equation for two prepotentials, F and U. The superspace treatment gives another variant of the integrability problem, which we also reformulate as a search for closed flat Yang-Mills connections. Three- and four-particle solutions are presented. The covector ansatz turns the WDVV equation into an algebraic condition, for which we give a formulation in terms of partial isometries. Three ideas for classifying WDVV solutions are developed: ortho-polytopes, hypergraphs,"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1011.2207","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":"1011.2207","created_at":"2026-05-18T04:22:11.263431+00:00"},{"alias_kind":"arxiv_version","alias_value":"1011.2207v2","created_at":"2026-05-18T04:22:11.263431+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1011.2207","created_at":"2026-05-18T04:22:11.263431+00:00"},{"alias_kind":"pith_short_12","alias_value":"Z6LQZ3VQDL4N","created_at":"2026-05-18T12:26:17.028572+00:00"},{"alias_kind":"pith_short_16","alias_value":"Z6LQZ3VQDL4N75IU","created_at":"2026-05-18T12:26:17.028572+00:00"},{"alias_kind":"pith_short_8","alias_value":"Z6LQZ3VQ","created_at":"2026-05-18T12:26:17.028572+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/Z6LQZ3VQDL4N75IU4Q7TRW4W7Q","json":"https://pith.science/pith/Z6LQZ3VQDL4N75IU4Q7TRW4W7Q.json","graph_json":"https://pith.science/api/pith-number/Z6LQZ3VQDL4N75IU4Q7TRW4W7Q/graph.json","events_json":"https://pith.science/api/pith-number/Z6LQZ3VQDL4N75IU4Q7TRW4W7Q/events.json","paper":"https://pith.science/paper/Z6LQZ3VQ"},"agent_actions":{"view_html":"https://pith.science/pith/Z6LQZ3VQDL4N75IU4Q7TRW4W7Q","download_json":"https://pith.science/pith/Z6LQZ3VQDL4N75IU4Q7TRW4W7Q.json","view_paper":"https://pith.science/paper/Z6LQZ3VQ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1011.2207&json=true","fetch_graph":"https://pith.science/api/pith-number/Z6LQZ3VQDL4N75IU4Q7TRW4W7Q/graph.json","fetch_events":"https://pith.science/api/pith-number/Z6LQZ3VQDL4N75IU4Q7TRW4W7Q/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/Z6LQZ3VQDL4N75IU4Q7TRW4W7Q/action/timestamp_anchor","attest_storage":"https://pith.science/pith/Z6LQZ3VQDL4N75IU4Q7TRW4W7Q/action/storage_attestation","attest_author":"https://pith.science/pith/Z6LQZ3VQDL4N75IU4Q7TRW4W7Q/action/author_attestation","sign_citation":"https://pith.science/pith/Z6LQZ3VQDL4N75IU4Q7TRW4W7Q/action/citation_signature","submit_replication":"https://pith.science/pith/Z6LQZ3VQDL4N75IU4Q7TRW4W7Q/action/replication_record"}},"created_at":"2026-05-18T04:22:11.263431+00:00","updated_at":"2026-05-18T04:22:11.263431+00:00"}