{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:ZJPU4P7XBM4ZFJYR5DC4JMHCWF","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":"8ec3ce6ba967c46d972943efa8511ebb4b12286787c10d65748fc05fd1ab1217","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-12-28T15:36:39Z","title_canon_sha256":"f834c24a25a72196b4203aa78a3de193f4ede80822365e1be13c374762262c35"},"schema_version":"1.0","source":{"id":"1712.09898","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1712.09898","created_at":"2026-05-18T00:08:03Z"},{"alias_kind":"arxiv_version","alias_value":"1712.09898v1","created_at":"2026-05-18T00:08:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.09898","created_at":"2026-05-18T00:08:03Z"},{"alias_kind":"pith_short_12","alias_value":"ZJPU4P7XBM4Z","created_at":"2026-05-18T12:31:59Z"},{"alias_kind":"pith_short_16","alias_value":"ZJPU4P7XBM4ZFJYR","created_at":"2026-05-18T12:31:59Z"},{"alias_kind":"pith_short_8","alias_value":"ZJPU4P7X","created_at":"2026-05-18T12:31:59Z"}],"graph_snapshots":[{"event_id":"sha256:f6ed3eb1c35627e73513a233b780adb2a09d0d76217f53bf5449bd9002edf872","target":"graph","created_at":"2026-05-18T00:08:03Z","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 present SU$(2|1)$ supersymmetric mechanics on $n$-dimensional Riemannian manifolds within the Hamiltonian approach. The structure functions including prepotentials entering the supercharges and the Hamiltonian obey extended curved WDVV equations specified by the manifold's metric and curvature tensor. We consider the most general $u(2)$-valued prepotential, which contains both types (with and without spin variables), previously considered only separately. For the case of real K\\\"{a}hler manifolds we construct all possible interactions. For isotropic ($so(n)$-invariant) spaces we provide adm","authors_text":"Anton Sutulin, Nikolay Kozyrev, Olaf Lechtenfeld, Sergey Krivonos","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-12-28T15:36:39Z","title":"SU(2$|$1) supersymmetric mechanics on curved spaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.09898","kind":"arxiv","version":1},"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":"sha256:3babc8a1323e525d0d08ed937fe6823e67c0d9acbb5184deb2317727c967c6c5","target":"record","created_at":"2026-05-18T00:08:03Z","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":"8ec3ce6ba967c46d972943efa8511ebb4b12286787c10d65748fc05fd1ab1217","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-12-28T15:36:39Z","title_canon_sha256":"f834c24a25a72196b4203aa78a3de193f4ede80822365e1be13c374762262c35"},"schema_version":"1.0","source":{"id":"1712.09898","kind":"arxiv","version":1}},"canonical_sha256":"ca5f4e3ff70b3992a711e8c5c4b0e2b15bb779553ef00538ce4c613d3be8e1e4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ca5f4e3ff70b3992a711e8c5c4b0e2b15bb779553ef00538ce4c613d3be8e1e4","first_computed_at":"2026-05-18T00:08:03.168793Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:08:03.168793Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"QxemJPLAxWWQfvQdR+I+9igRrqOgsa/N6nv8L47OqNXbWKpddv7b4NX9EkFdihgbYwiqhyH7Wx9GNeqliwfgDw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:08:03.169361Z","signed_message":"canonical_sha256_bytes"},"source_id":"1712.09898","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3babc8a1323e525d0d08ed937fe6823e67c0d9acbb5184deb2317727c967c6c5","sha256:f6ed3eb1c35627e73513a233b780adb2a09d0d76217f53bf5449bd9002edf872"],"state_sha256":"811786cde5210f3a846a413f25b5f16e8d8b0a2407ddc4a9dd9d6796be89ca12"}