{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2001:3UV22TRQ7PCHUONHCLYALKSB3I","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":"d4daec5e048797bcce8066ad594d28f1c518fa02f62850bcd8f0539bdb6f8804","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2001-05-29T14:31:21Z","title_canon_sha256":"053bd2f6df208500e3e990c21bb591301a0cbfe045087b6905245862ebf78bee"},"schema_version":"1.0","source":{"id":"hep-th/0105289","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0105289","created_at":"2026-05-18T02:36:12Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0105289v2","created_at":"2026-05-18T02:36:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0105289","created_at":"2026-05-18T02:36:12Z"},{"alias_kind":"pith_short_12","alias_value":"3UV22TRQ7PCH","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"3UV22TRQ7PCHUONH","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"3UV22TRQ","created_at":"2026-05-18T12:25:50Z"}],"graph_snapshots":[{"event_id":"sha256:a268e0c157da8c91769222bbd7ee5ac1d9f435ad55624bcd07345e98e3962af7","target":"graph","created_at":"2026-05-18T02:36:12Z","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 consider the associativity (or WDVV) equations in the form they appear in Seiberg-Witten theory and prove that they are covariant under generic electric-magnetic duality transformations. We discuss the consequences of this covariance from various perspectives.","authors_text":"A. Marshakov, B. de Wit","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2001-05-29T14:31:21Z","title":"Electric-Magnetic Duality and WDVV Equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0105289","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":"sha256:7940e03a5addd86ba4dd661e33743a25c4ff3ee6d1057075f9804e8bceba451d","target":"record","created_at":"2026-05-18T02:36:12Z","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":"d4daec5e048797bcce8066ad594d28f1c518fa02f62850bcd8f0539bdb6f8804","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2001-05-29T14:31:21Z","title_canon_sha256":"053bd2f6df208500e3e990c21bb591301a0cbfe045087b6905245862ebf78bee"},"schema_version":"1.0","source":{"id":"hep-th/0105289","kind":"arxiv","version":2}},"canonical_sha256":"dd2bad4e30fbc47a39a712f005aa41da3f67ef4dbb6cc1e3ff4b0091bc4af0e9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dd2bad4e30fbc47a39a712f005aa41da3f67ef4dbb6cc1e3ff4b0091bc4af0e9","first_computed_at":"2026-05-18T02:36:12.082072Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:36:12.082072Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"bPT2Hb0Ln105rF52KSsP/Z3anJdcnKhx4/sHr8dR11+YAkcScMMo39N1TWjWLUgTebYpYFHw+CJUbAZZ8tUGAw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:36:12.082657Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0105289","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7940e03a5addd86ba4dd661e33743a25c4ff3ee6d1057075f9804e8bceba451d","sha256:a268e0c157da8c91769222bbd7ee5ac1d9f435ad55624bcd07345e98e3962af7"],"state_sha256":"ff3562b21d06f0bb6a28de0fb37d4f89806cd31a262ed113614587e4cea787c9"}