{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:VTVEDSYI2VYQ35XQM5XJAC4QRT","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":"244a43de806476c0ef2cc88ae04df55f7292225431270814376159c74df6ac5f","cross_cats_sorted":["nlin.SI"],"license":"","primary_cat":"nlin.CD","submitted_at":"2006-07-14T09:52:42Z","title_canon_sha256":"3f3afe44a84d76c627d411b3b05633913cbc4969b545cbe31828473dbfdc61c0"},"schema_version":"1.0","source":{"id":"nlin/0607028","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"nlin/0607028","created_at":"2026-05-18T04:24:35Z"},{"alias_kind":"arxiv_version","alias_value":"nlin/0607028v1","created_at":"2026-05-18T04:24:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.nlin/0607028","created_at":"2026-05-18T04:24:35Z"},{"alias_kind":"pith_short_12","alias_value":"VTVEDSYI2VYQ","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_16","alias_value":"VTVEDSYI2VYQ35XQ","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_8","alias_value":"VTVEDSYI","created_at":"2026-05-18T12:25:54Z"}],"graph_snapshots":[{"event_id":"sha256:ba4cdf640033d0399f92a21e58e59990b4d382def0849331dab811d8f8dd0159","target":"graph","created_at":"2026-05-18T04:24:35Z","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":"This paper is part of a program that aims to understand the connection between the emergence of chaotic behaviour in dynamical systems in relation with the multi-valuedness of the solutions as functions of complex time $\\tau$. In this work we consider a family of systems whose solutions can be expressed as the inversion of a single hyperelliptic integral. The associated Riemann surface ${\\mathcal R}$ is known to be an infinitely sheeted covering of the complex time plane, ramified at an infinite set of points whose projection in the $\\tau$-plane is dense. The main novelty of this paper is that","authors_text":"David Gomez-Ullate, Yuri N. Fedorov","cross_cats":["nlin.SI"],"headline":"","license":"","primary_cat":"nlin.CD","submitted_at":"2006-07-14T09:52:42Z","title":"Dynamical systems on infinitely sheeted Riemann surfaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"nlin/0607028","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":"sha256:4718469c36c8841e1af2200f5106a70a6a8cf5158e2d43c9d1aa3883b8403e55","target":"record","created_at":"2026-05-18T04:24:35Z","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":"244a43de806476c0ef2cc88ae04df55f7292225431270814376159c74df6ac5f","cross_cats_sorted":["nlin.SI"],"license":"","primary_cat":"nlin.CD","submitted_at":"2006-07-14T09:52:42Z","title_canon_sha256":"3f3afe44a84d76c627d411b3b05633913cbc4969b545cbe31828473dbfdc61c0"},"schema_version":"1.0","source":{"id":"nlin/0607028","kind":"arxiv","version":1}},"canonical_sha256":"acea41cb08d5710df6f0676e900b908cfaae572de9e75bae1c1aff5188a2bc58","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"acea41cb08d5710df6f0676e900b908cfaae572de9e75bae1c1aff5188a2bc58","first_computed_at":"2026-05-18T04:24:35.613471Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:24:35.613471Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"uwLG8GWUTTE9w8cpBAgAAqu8lzU/KWPvHYT4NCNKYK56/A4aJOKeNU6L8N5+XiYbvUmX0QNQjP/MMlup8+/pBw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:24:35.613973Z","signed_message":"canonical_sha256_bytes"},"source_id":"nlin/0607028","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4718469c36c8841e1af2200f5106a70a6a8cf5158e2d43c9d1aa3883b8403e55","sha256:ba4cdf640033d0399f92a21e58e59990b4d382def0849331dab811d8f8dd0159"],"state_sha256":"0ea97e966212812f545c6b9204455eb34a63902b322152d4c131a9c0d8e0812e"}