{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:Z6LQZ3VQDL4N75IU4Q7TRW4W7Q","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"d9b1bfff3e573c2338a0854b48a707a9f3f020ad269320117a74a883b45e0f68","cross_cats_sorted":["math-ph","math.MP","nlin.SI"],"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"hep-th","submitted_at":"2010-11-09T21:00:33Z","title_canon_sha256":"5e03fc8ebd09e90b82a2087fb4c4316edfbcc465fdc4efca54a461c181827cbd"},"schema_version":"1.0","source":{"id":"1011.2207","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1011.2207","created_at":"2026-05-18T04:22:11Z"},{"alias_kind":"arxiv_version","alias_value":"1011.2207v2","created_at":"2026-05-18T04:22:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1011.2207","created_at":"2026-05-18T04:22:11Z"},{"alias_kind":"pith_short_12","alias_value":"Z6LQZ3VQDL4N","created_at":"2026-05-18T12:26:17Z"},{"alias_kind":"pith_short_16","alias_value":"Z6LQZ3VQDL4N75IU","created_at":"2026-05-18T12:26:17Z"},{"alias_kind":"pith_short_8","alias_value":"Z6LQZ3VQ","created_at":"2026-05-18T12:26:17Z"}],"graph_snapshots":[{"event_id":"sha256:7538954abf43c8ad7e40ebf2454674535236303a5f3271aa775bae4ff6eb4216","target":"graph","created_at":"2026-05-18T04:22:11Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"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,","authors_text":"Johannes Th\\\"urigen, Konrad Schwerdtfeger, Olaf Lechtenfeld","cross_cats":["math-ph","math.MP","nlin.SI"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"hep-th","submitted_at":"2010-11-09T21:00:33Z","title":"N=4 Multi-Particle Mechanics, WDVV Equation and Roots"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1011.2207","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:3d78e32aec25aae852c0593491d2372b88c859fbf385d6bfd53c81440653b422","target":"record","created_at":"2026-05-18T04:22:11Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"d9b1bfff3e573c2338a0854b48a707a9f3f020ad269320117a74a883b45e0f68","cross_cats_sorted":["math-ph","math.MP","nlin.SI"],"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"hep-th","submitted_at":"2010-11-09T21:00:33Z","title_canon_sha256":"5e03fc8ebd09e90b82a2087fb4c4316edfbcc465fdc4efca54a461c181827cbd"},"schema_version":"1.0","source":{"id":"1011.2207","kind":"arxiv","version":2}},"canonical_sha256":"cf970ceeb01af8dff514e43f38db96fc16959b89ee2de02a494aeef88ecfa5c0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cf970ceeb01af8dff514e43f38db96fc16959b89ee2de02a494aeef88ecfa5c0","first_computed_at":"2026-05-18T04:22:11.263349Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:22:11.263349Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"M6g6HWMtGgSCKjsvrk8HJ3Qd4sJ7NCq3JA5rf0FJhFlVbtLjxdcE97uRwGvzKEdlFpSIFgi9vKCUxjuM4oSxDA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:22:11.263824Z","signed_message":"canonical_sha256_bytes"},"source_id":"1011.2207","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3d78e32aec25aae852c0593491d2372b88c859fbf385d6bfd53c81440653b422","sha256:7538954abf43c8ad7e40ebf2454674535236303a5f3271aa775bae4ff6eb4216"],"state_sha256":"e8291c57e7c72352e880e3c5d06c7a569248f9e6827c087c59028711b6282173"}