{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2006:7KWLP5OUD5UINGUSPAOKRHTUGN","short_pith_number":"pith:7KWLP5OU","schema_version":"1.0","canonical_sha256":"faacb7f5d41f68869a92781ca89e74337efe9e3af30c23bcd298c8bb8614c3fa","source":{"kind":"arxiv","id":"math/0610305","version":1},"attestation_state":"computed","paper":{"title":"On the analytic non-integrability of the Rattleback problem","license":"","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.DS","authors_text":"Alexei Tsygvintsev, Holger R. Dullin","submitted_at":"2006-10-10T00:04:12Z","abstract_excerpt":"We establish the analytic non-integrability of the nonholonomic ellipsoidal rattleback model for a large class of parameter values. Our approach is based on the study of the monodromy group of the normal variational equations around a particular orbit. The embedding of the equations of the heavy rigid body into the rattleback model is discussed."},"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":"math/0610305","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.DS","submitted_at":"2006-10-10T00:04:12Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"2a12285627b4fa85cf7dc60f068bd1993af2e3c589d55a94e70e7e7840c0e96e","abstract_canon_sha256":"bce6d81eca8aa693c7d9331e088635c20a7c966eedd5b09948a2e038f1970402"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:20:07.003355Z","signature_b64":"3OdOT+AVV38L6DRfrnH9zz9mdOE76ujdSx0Hq4L4XMRy8vNGapYOtb1ZUX3isZclycbGFdPdrUccaT8V8FL4Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"faacb7f5d41f68869a92781ca89e74337efe9e3af30c23bcd298c8bb8614c3fa","last_reissued_at":"2026-05-18T03:20:07.002427Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:20:07.002427Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the analytic non-integrability of the Rattleback problem","license":"","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.DS","authors_text":"Alexei Tsygvintsev, Holger R. Dullin","submitted_at":"2006-10-10T00:04:12Z","abstract_excerpt":"We establish the analytic non-integrability of the nonholonomic ellipsoidal rattleback model for a large class of parameter values. Our approach is based on the study of the monodromy group of the normal variational equations around a particular orbit. The embedding of the equations of the heavy rigid body into the rattleback model is discussed."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0610305","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":"math/0610305","created_at":"2026-05-18T03:20:07.002589+00:00"},{"alias_kind":"arxiv_version","alias_value":"math/0610305v1","created_at":"2026-05-18T03:20:07.002589+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0610305","created_at":"2026-05-18T03:20:07.002589+00:00"},{"alias_kind":"pith_short_12","alias_value":"7KWLP5OUD5UI","created_at":"2026-05-18T12:25:53.939244+00:00"},{"alias_kind":"pith_short_16","alias_value":"7KWLP5OUD5UINGUS","created_at":"2026-05-18T12:25:53.939244+00:00"},{"alias_kind":"pith_short_8","alias_value":"7KWLP5OU","created_at":"2026-05-18T12:25:53.939244+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/7KWLP5OUD5UINGUSPAOKRHTUGN","json":"https://pith.science/pith/7KWLP5OUD5UINGUSPAOKRHTUGN.json","graph_json":"https://pith.science/api/pith-number/7KWLP5OUD5UINGUSPAOKRHTUGN/graph.json","events_json":"https://pith.science/api/pith-number/7KWLP5OUD5UINGUSPAOKRHTUGN/events.json","paper":"https://pith.science/paper/7KWLP5OU"},"agent_actions":{"view_html":"https://pith.science/pith/7KWLP5OUD5UINGUSPAOKRHTUGN","download_json":"https://pith.science/pith/7KWLP5OUD5UINGUSPAOKRHTUGN.json","view_paper":"https://pith.science/paper/7KWLP5OU","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=math/0610305&json=true","fetch_graph":"https://pith.science/api/pith-number/7KWLP5OUD5UINGUSPAOKRHTUGN/graph.json","fetch_events":"https://pith.science/api/pith-number/7KWLP5OUD5UINGUSPAOKRHTUGN/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/7KWLP5OUD5UINGUSPAOKRHTUGN/action/timestamp_anchor","attest_storage":"https://pith.science/pith/7KWLP5OUD5UINGUSPAOKRHTUGN/action/storage_attestation","attest_author":"https://pith.science/pith/7KWLP5OUD5UINGUSPAOKRHTUGN/action/author_attestation","sign_citation":"https://pith.science/pith/7KWLP5OUD5UINGUSPAOKRHTUGN/action/citation_signature","submit_replication":"https://pith.science/pith/7KWLP5OUD5UINGUSPAOKRHTUGN/action/replication_record"}},"created_at":"2026-05-18T03:20:07.002589+00:00","updated_at":"2026-05-18T03:20:07.002589+00:00"}