{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2008:W5SPS634Q3ZYWVDA5GMHMDJVUP","short_pith_number":"pith:W5SPS634","schema_version":"1.0","canonical_sha256":"b764f97b7c86f38b5460e998760d35a3cc2e42b4a1598e0b93406c72605417ea","source":{"kind":"arxiv","id":"0811.0021","version":2},"attestation_state":"computed","paper":{"title":"N=4 Mechanics, WDVV Equations and Polytopes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Olaf Lechtenfeld","submitted_at":"2008-11-03T09:04:50Z","abstract_excerpt":"N=4 superconformal n-particle quantum mechanics on the real line is governed by two prepotentials, U and F, which obey a system of partial nonlinear differential equations generalizing the Witten-Dijkgraaf-Verlinde-Verlinde (WDVV) equation for F. The solutions are encoded by the finite Coxeter systems and certain deformations thereof, which can be encoded by particular polytopes. We provide A_n and B_3 examples in some detail. Turning on the prepotential U in a given F background is very constrained for more than three particles and nonzero central charge. The standard ansatz for U is shown to"},"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":"0811.0021","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2008-11-03T09:04:50Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"cdb336723992a6b7a2b7f88ec2c6d280a6045c1783e570043bcb8caeb97885b7","abstract_canon_sha256":"ef5990c2723a46454b7fafc98951757c7842406ee33c2f2d028535c035e1a341"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:35:14.085167Z","signature_b64":"GFWAuWz0rgKTi/GmwLoSW2Q2ujf7RTrKt1vmhi6HINeWDIKaatZx5L10j8ngm/qK/4d3qQ5a/1kkpQ/C7Wf0BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b764f97b7c86f38b5460e998760d35a3cc2e42b4a1598e0b93406c72605417ea","last_reissued_at":"2026-05-18T02:35:14.084817Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:35:14.084817Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"N=4 Mechanics, WDVV Equations and Polytopes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Olaf Lechtenfeld","submitted_at":"2008-11-03T09:04:50Z","abstract_excerpt":"N=4 superconformal n-particle quantum mechanics on the real line is governed by two prepotentials, U and F, which obey a system of partial nonlinear differential equations generalizing the Witten-Dijkgraaf-Verlinde-Verlinde (WDVV) equation for F. The solutions are encoded by the finite Coxeter systems and certain deformations thereof, which can be encoded by particular polytopes. We provide A_n and B_3 examples in some detail. Turning on the prepotential U in a given F background is very constrained for more than three particles and nonzero central charge. The standard ansatz for U is shown to"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0811.0021","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":"0811.0021","created_at":"2026-05-18T02:35:14.084869+00:00"},{"alias_kind":"arxiv_version","alias_value":"0811.0021v2","created_at":"2026-05-18T02:35:14.084869+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0811.0021","created_at":"2026-05-18T02:35:14.084869+00:00"},{"alias_kind":"pith_short_12","alias_value":"W5SPS634Q3ZY","created_at":"2026-05-18T12:25:58.018023+00:00"},{"alias_kind":"pith_short_16","alias_value":"W5SPS634Q3ZYWVDA","created_at":"2026-05-18T12:25:58.018023+00:00"},{"alias_kind":"pith_short_8","alias_value":"W5SPS634","created_at":"2026-05-18T12:25:58.018023+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/W5SPS634Q3ZYWVDA5GMHMDJVUP","json":"https://pith.science/pith/W5SPS634Q3ZYWVDA5GMHMDJVUP.json","graph_json":"https://pith.science/api/pith-number/W5SPS634Q3ZYWVDA5GMHMDJVUP/graph.json","events_json":"https://pith.science/api/pith-number/W5SPS634Q3ZYWVDA5GMHMDJVUP/events.json","paper":"https://pith.science/paper/W5SPS634"},"agent_actions":{"view_html":"https://pith.science/pith/W5SPS634Q3ZYWVDA5GMHMDJVUP","download_json":"https://pith.science/pith/W5SPS634Q3ZYWVDA5GMHMDJVUP.json","view_paper":"https://pith.science/paper/W5SPS634","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0811.0021&json=true","fetch_graph":"https://pith.science/api/pith-number/W5SPS634Q3ZYWVDA5GMHMDJVUP/graph.json","fetch_events":"https://pith.science/api/pith-number/W5SPS634Q3ZYWVDA5GMHMDJVUP/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/W5SPS634Q3ZYWVDA5GMHMDJVUP/action/timestamp_anchor","attest_storage":"https://pith.science/pith/W5SPS634Q3ZYWVDA5GMHMDJVUP/action/storage_attestation","attest_author":"https://pith.science/pith/W5SPS634Q3ZYWVDA5GMHMDJVUP/action/author_attestation","sign_citation":"https://pith.science/pith/W5SPS634Q3ZYWVDA5GMHMDJVUP/action/citation_signature","submit_replication":"https://pith.science/pith/W5SPS634Q3ZYWVDA5GMHMDJVUP/action/replication_record"}},"created_at":"2026-05-18T02:35:14.084869+00:00","updated_at":"2026-05-18T02:35:14.084869+00:00"}