{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2002:RCJRV7UJDFNQDJZLIC6YU4NOU6","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":"964fe6a930018fc469bbffdd360d0d07ab2efc6dc33e51d5db911fbf872cf6f3","cross_cats_sorted":["hep-th","math.QA"],"license":"","primary_cat":"nlin.SI","submitted_at":"2002-02-20T07:00:48Z","title_canon_sha256":"e56871d0843cbbf51306f1544abd3ddf37ed1b7a4261a172da98b867072cb25f"},"schema_version":"1.0","source":{"id":"nlin/0202042","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"nlin/0202042","created_at":"2026-05-18T01:38:21Z"},{"alias_kind":"arxiv_version","alias_value":"nlin/0202042v2","created_at":"2026-05-18T01:38:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.nlin/0202042","created_at":"2026-05-18T01:38:21Z"},{"alias_kind":"pith_short_12","alias_value":"RCJRV7UJDFNQ","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_16","alias_value":"RCJRV7UJDFNQDJZL","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_8","alias_value":"RCJRV7UJ","created_at":"2026-05-18T12:25:51Z"}],"graph_snapshots":[{"event_id":"sha256:0662cab7f6f84365bf72554cd8263db4e969c5d9df2c5960c9ff8d037a130573","target":"graph","created_at":"2026-05-18T01:38:21Z","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 study several integrable Hamiltonian systems on the moduli spaces of meromorphic functions on Riemann surfaces (the Riemann sphere, a cylinder and a torus). The action-angle variables and the separated variables (in Sklyanin's sense) are related via a canonical transformation, the generating function of which is the Abel-Jacobi type integral of the Seiberg-Witten differential over the spectral curve.","authors_text":"Kanehisa Takasaki, Takashi Takebe","cross_cats":["hep-th","math.QA"],"headline":"","license":"","primary_cat":"nlin.SI","submitted_at":"2002-02-20T07:00:48Z","title":"An integrable system on the moduli space of rational functions and its variants"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"nlin/0202042","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":"sha256:482291865cccefce157d97e4dd8028ce95bf9bc9b5f9dde8361cd4feb5fbba6e","target":"record","created_at":"2026-05-18T01:38:21Z","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":"964fe6a930018fc469bbffdd360d0d07ab2efc6dc33e51d5db911fbf872cf6f3","cross_cats_sorted":["hep-th","math.QA"],"license":"","primary_cat":"nlin.SI","submitted_at":"2002-02-20T07:00:48Z","title_canon_sha256":"e56871d0843cbbf51306f1544abd3ddf37ed1b7a4261a172da98b867072cb25f"},"schema_version":"1.0","source":{"id":"nlin/0202042","kind":"arxiv","version":2}},"canonical_sha256":"88931afe89195b01a72b40bd8a71aea7b8bc42ebdf706ddd50279985eda20a3a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"88931afe89195b01a72b40bd8a71aea7b8bc42ebdf706ddd50279985eda20a3a","first_computed_at":"2026-05-18T01:38:21.515720Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:38:21.515720Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"H9qTki/7OrS/cSaNVihZwexxYq93CPdau2N0ypru46SCrITjrectkxW41irc4DDUSWGo2P5JUNJ5f5MtlwcqCA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:38:21.516333Z","signed_message":"canonical_sha256_bytes"},"source_id":"nlin/0202042","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:482291865cccefce157d97e4dd8028ce95bf9bc9b5f9dde8361cd4feb5fbba6e","sha256:0662cab7f6f84365bf72554cd8263db4e969c5d9df2c5960c9ff8d037a130573"],"state_sha256":"eff29e5f184ee84de6da6deb98115ffe1bf47987715f38b7a4d32425e9dbb3b2"}