{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2005:5E2GT3NEFZ4VD7R4YPEIHWJ3XG","short_pith_number":"pith:5E2GT3NE","schema_version":"1.0","canonical_sha256":"e93469eda42e7951fe3cc3c883d93bb9828a03956211e66c587aad5ceeadf4ce","source":{"kind":"arxiv","id":"nlin/0507024","version":1},"attestation_state":"computed","paper":{"title":"The Transition from Regular to Irregular Motions, Explained as Travel on Riemann Surfaces","license":"","headline":"","cross_cats":["math.DS","nlin.CD"],"primary_cat":"nlin.SI","authors_text":"D. Gomez-Ullate, F. Calogero, M. Sommacal, P. M. Santini","submitted_at":"2005-07-13T11:05:59Z","abstract_excerpt":"We introduce and discuss a simple Hamiltonian dynamical system, interpretable as a 3-body problem in the complex plane and providing the prototype of a mechanism explaining the transition from regular to irregular motions as travel on Riemann surfaces. The interest of this phenomenology -- illustrating the onset in a deterministic context of irregular motions -- is underlined by its generality, suggesting its eventual relevance to understand natural phenomena and experimental investigations. Here only some of our main findings are reported, without detailing their proofs: a more complete prese"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"nlin/0507024","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"nlin.SI","submitted_at":"2005-07-13T11:05:59Z","cross_cats_sorted":["math.DS","nlin.CD"],"title_canon_sha256":"39fb46dff8a9543097c956bd084081d05e90752b3c4ed4992995dc64b7ecbc0f","abstract_canon_sha256":"1c07ae4538637d200b9c3573da98ae6cd724c917f6c1785fb6e0b022433bb088"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:24:35.621309Z","signature_b64":"gwXmR1bM+/9enuOJSJaMe1LbWv/OErtQGt+tKDvSTSuyTLlzH52Zmp4tkcRaR2AZp/sWvQxzXTbiKjqE55QBDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e93469eda42e7951fe3cc3c883d93bb9828a03956211e66c587aad5ceeadf4ce","last_reissued_at":"2026-05-18T04:24:35.620802Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:24:35.620802Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Transition from Regular to Irregular Motions, Explained as Travel on Riemann Surfaces","license":"","headline":"","cross_cats":["math.DS","nlin.CD"],"primary_cat":"nlin.SI","authors_text":"D. Gomez-Ullate, F. Calogero, M. Sommacal, P. M. Santini","submitted_at":"2005-07-13T11:05:59Z","abstract_excerpt":"We introduce and discuss a simple Hamiltonian dynamical system, interpretable as a 3-body problem in the complex plane and providing the prototype of a mechanism explaining the transition from regular to irregular motions as travel on Riemann surfaces. The interest of this phenomenology -- illustrating the onset in a deterministic context of irregular motions -- is underlined by its generality, suggesting its eventual relevance to understand natural phenomena and experimental investigations. Here only some of our main findings are reported, without detailing their proofs: a more complete prese"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"nlin/0507024","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"nlin/0507024","created_at":"2026-05-18T04:24:35.620890+00:00"},{"alias_kind":"arxiv_version","alias_value":"nlin/0507024v1","created_at":"2026-05-18T04:24:35.620890+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.nlin/0507024","created_at":"2026-05-18T04:24:35.620890+00:00"},{"alias_kind":"pith_short_12","alias_value":"5E2GT3NEFZ4V","created_at":"2026-05-18T12:25:53.335082+00:00"},{"alias_kind":"pith_short_16","alias_value":"5E2GT3NEFZ4VD7R4","created_at":"2026-05-18T12:25:53.335082+00:00"},{"alias_kind":"pith_short_8","alias_value":"5E2GT3NE","created_at":"2026-05-18T12:25:53.335082+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/5E2GT3NEFZ4VD7R4YPEIHWJ3XG","json":"https://pith.science/pith/5E2GT3NEFZ4VD7R4YPEIHWJ3XG.json","graph_json":"https://pith.science/api/pith-number/5E2GT3NEFZ4VD7R4YPEIHWJ3XG/graph.json","events_json":"https://pith.science/api/pith-number/5E2GT3NEFZ4VD7R4YPEIHWJ3XG/events.json","paper":"https://pith.science/paper/5E2GT3NE"},"agent_actions":{"view_html":"https://pith.science/pith/5E2GT3NEFZ4VD7R4YPEIHWJ3XG","download_json":"https://pith.science/pith/5E2GT3NEFZ4VD7R4YPEIHWJ3XG.json","view_paper":"https://pith.science/paper/5E2GT3NE","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=nlin/0507024&json=true","fetch_graph":"https://pith.science/api/pith-number/5E2GT3NEFZ4VD7R4YPEIHWJ3XG/graph.json","fetch_events":"https://pith.science/api/pith-number/5E2GT3NEFZ4VD7R4YPEIHWJ3XG/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/5E2GT3NEFZ4VD7R4YPEIHWJ3XG/action/timestamp_anchor","attest_storage":"https://pith.science/pith/5E2GT3NEFZ4VD7R4YPEIHWJ3XG/action/storage_attestation","attest_author":"https://pith.science/pith/5E2GT3NEFZ4VD7R4YPEIHWJ3XG/action/author_attestation","sign_citation":"https://pith.science/pith/5E2GT3NEFZ4VD7R4YPEIHWJ3XG/action/citation_signature","submit_replication":"https://pith.science/pith/5E2GT3NEFZ4VD7R4YPEIHWJ3XG/action/replication_record"}},"created_at":"2026-05-18T04:24:35.620890+00:00","updated_at":"2026-05-18T04:24:35.620890+00:00"}