{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:KHVONKOSM3IKD3HLCDLQILLVIA","short_pith_number":"pith:KHVONKOS","schema_version":"1.0","canonical_sha256":"51eae6a9d266d0a1eceb10d7042d7540029b2e9cf5b6458cc142f2dac682c27f","source":{"kind":"arxiv","id":"1901.11092","version":1},"attestation_state":"computed","paper":{"title":"Hamiltonisation, measure preservation and first integrals of the multi-dimensional rubber Routh sphere","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"nlin.SI","authors_text":"Luis C. Garc\\'ia-Naranjo","submitted_at":"2019-01-30T20:42:00Z","abstract_excerpt":"We consider the multi-dimensional generalisation of the problem of a sphere, with axi-symmetric mass distribution, that rolls without slipping or spinning over a plane. Using recent results from Garc\\'ia-Naranjo (arXiv: 1805:06393) and Garc\\'ia-Naranjo and Marrero (arXiv: 1812.01422), we show that the reduced equations of motion possess an invariant measure and may be represented in Hamiltonian form by Chaplygin's reducing multiplier method. We also prove a general result on the existence of first integrals for certain Hamiltonisable Chaplygin systems with internal symmetries that is used to d"},"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":"1901.11092","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2019-01-30T20:42:00Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"a824fa86fce55468696f9119ece5fb54603cf453b3d060e081dfe7a1879d9a72","abstract_canon_sha256":"c089f1aee98c79bdaf5c2000e20ca2979d6f1dd9c4ce9f10bceea9242e135b94"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:39:47.133912Z","signature_b64":"AaCGpoMtYmKxb9qfCub9j1OQPljUWbY14/t7ZIqWFSz2QpYjqfEx1LpSO4gy99xfDQ0N1SbUun28ygFRwN7wDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"51eae6a9d266d0a1eceb10d7042d7540029b2e9cf5b6458cc142f2dac682c27f","last_reissued_at":"2026-05-17T23:39:47.133219Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:39:47.133219Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Hamiltonisation, measure preservation and first integrals of the multi-dimensional rubber Routh sphere","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"nlin.SI","authors_text":"Luis C. Garc\\'ia-Naranjo","submitted_at":"2019-01-30T20:42:00Z","abstract_excerpt":"We consider the multi-dimensional generalisation of the problem of a sphere, with axi-symmetric mass distribution, that rolls without slipping or spinning over a plane. Using recent results from Garc\\'ia-Naranjo (arXiv: 1805:06393) and Garc\\'ia-Naranjo and Marrero (arXiv: 1812.01422), we show that the reduced equations of motion possess an invariant measure and may be represented in Hamiltonian form by Chaplygin's reducing multiplier method. We also prove a general result on the existence of first integrals for certain Hamiltonisable Chaplygin systems with internal symmetries that is used to d"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1901.11092","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":"1901.11092","created_at":"2026-05-17T23:39:47.133338+00:00"},{"alias_kind":"arxiv_version","alias_value":"1901.11092v1","created_at":"2026-05-17T23:39:47.133338+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1901.11092","created_at":"2026-05-17T23:39:47.133338+00:00"},{"alias_kind":"pith_short_12","alias_value":"KHVONKOSM3IK","created_at":"2026-05-18T12:33:21.387695+00:00"},{"alias_kind":"pith_short_16","alias_value":"KHVONKOSM3IKD3HL","created_at":"2026-05-18T12:33:21.387695+00:00"},{"alias_kind":"pith_short_8","alias_value":"KHVONKOS","created_at":"2026-05-18T12:33:21.387695+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/KHVONKOSM3IKD3HLCDLQILLVIA","json":"https://pith.science/pith/KHVONKOSM3IKD3HLCDLQILLVIA.json","graph_json":"https://pith.science/api/pith-number/KHVONKOSM3IKD3HLCDLQILLVIA/graph.json","events_json":"https://pith.science/api/pith-number/KHVONKOSM3IKD3HLCDLQILLVIA/events.json","paper":"https://pith.science/paper/KHVONKOS"},"agent_actions":{"view_html":"https://pith.science/pith/KHVONKOSM3IKD3HLCDLQILLVIA","download_json":"https://pith.science/pith/KHVONKOSM3IKD3HLCDLQILLVIA.json","view_paper":"https://pith.science/paper/KHVONKOS","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1901.11092&json=true","fetch_graph":"https://pith.science/api/pith-number/KHVONKOSM3IKD3HLCDLQILLVIA/graph.json","fetch_events":"https://pith.science/api/pith-number/KHVONKOSM3IKD3HLCDLQILLVIA/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/KHVONKOSM3IKD3HLCDLQILLVIA/action/timestamp_anchor","attest_storage":"https://pith.science/pith/KHVONKOSM3IKD3HLCDLQILLVIA/action/storage_attestation","attest_author":"https://pith.science/pith/KHVONKOSM3IKD3HLCDLQILLVIA/action/author_attestation","sign_citation":"https://pith.science/pith/KHVONKOSM3IKD3HLCDLQILLVIA/action/citation_signature","submit_replication":"https://pith.science/pith/KHVONKOSM3IKD3HLCDLQILLVIA/action/replication_record"}},"created_at":"2026-05-17T23:39:47.133338+00:00","updated_at":"2026-05-17T23:39:47.133338+00:00"}