{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1999:KOVH47UZP43IUWOJYOIYDERHCE","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":"859dc962cd40d2ccd7bf1d44dacc2e72b272ede42c45c28a02d1b8c6c764c91f","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"1999-06-29T16:06:09Z","title_canon_sha256":"77702abc58876221bdfb8be6e81c5e86b57bdb373ae428483698284f0aacbb1a"},"schema_version":"1.0","source":{"id":"hep-th/9906235","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9906235","created_at":"2026-07-04T16:14:53Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9906235v4","created_at":"2026-07-04T16:14:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9906235","created_at":"2026-07-04T16:14:53Z"},{"alias_kind":"pith_short_12","alias_value":"KOVH47UZP43I","created_at":"2026-07-04T16:14:53Z"},{"alias_kind":"pith_short_16","alias_value":"KOVH47UZP43IUWOJ","created_at":"2026-07-04T16:14:53Z"},{"alias_kind":"pith_short_8","alias_value":"KOVH47UZ","created_at":"2026-07-04T16:14:53Z"}],"graph_snapshots":[{"event_id":"sha256:5be2563f7a276da787cc2c68fedbb8250729deac2f836cdde3950204509c15f9","target":"graph","created_at":"2026-07-04T16:14:53Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/hep-th/9906235/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We discuss various dualities, relating integrable systems and show that these dualities are explained in the framework of Hamiltonian and Poisson reductions. The dualities we study shed some light on the known integrable systems as well as allow to construct new ones, double elliptic among them. We also discuss applications to the (supersymmetric) gauge theories in various dimensions.","authors_text":"A. Gorsky, N. Nekrasov, V. Fock, V. Rubtsov","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"1999-06-29T16:06:09Z","title":"Duality in Integrable Systems and Gauge Theories"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9906235","kind":"arxiv","version":4},"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:d91138017a5a1dd1f8f035021b0ad7ecc816b64e1b9ef033ca411cfbfa2590a9","target":"record","created_at":"2026-07-04T16:14:53Z","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":"859dc962cd40d2ccd7bf1d44dacc2e72b272ede42c45c28a02d1b8c6c764c91f","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"1999-06-29T16:06:09Z","title_canon_sha256":"77702abc58876221bdfb8be6e81c5e86b57bdb373ae428483698284f0aacbb1a"},"schema_version":"1.0","source":{"id":"hep-th/9906235","kind":"arxiv","version":4}},"canonical_sha256":"53aa7e7e997f368a59c9c391819227111c45bf05800e8921ce5e081674af1610","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"53aa7e7e997f368a59c9c391819227111c45bf05800e8921ce5e081674af1610","first_computed_at":"2026-07-04T16:14:53.675401Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:14:53.675401Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jxsbRRmKZc01/1WMfnmMD74Mv2OjuoXhPNjhlPX9quODIBv+4d8CyVqfPu07GG6418i0ghhHMrHPXgHWJYqBCg==","signature_status":"signed_v1","signed_at":"2026-07-04T16:14:53.675825Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/9906235","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d91138017a5a1dd1f8f035021b0ad7ecc816b64e1b9ef033ca411cfbfa2590a9","sha256:5be2563f7a276da787cc2c68fedbb8250729deac2f836cdde3950204509c15f9"],"state_sha256":"4363a0663120bffaf738eaa26f063e8d6a839866741d797eef09e741c684b010"}