{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:ESXX7GHSH35GI3IN7IQNY7LI5A","short_pith_number":"pith:ESXX7GHS","schema_version":"1.0","canonical_sha256":"24af7f98f23efa646d0dfa20dc7d68e829fe61d3d25fbfdc7919796127b3a200","source":{"kind":"arxiv","id":"1805.10610","version":2},"attestation_state":"computed","paper":{"title":"Nonholonomic connections, time reparametrizations, and integrability of the rolling ball over a sphere","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DG","math.MP"],"primary_cat":"math-ph","authors_text":"Borislav Gajic, Bozidar Jovanovic","submitted_at":"2018-05-27T11:28:03Z","abstract_excerpt":"We study a time reparametrisation of the Newton type equations on Riemannian manifolds slightly modifying the Chaplygin multiplier method, allowing us to consider the Chaplygin method and the Maupertuis principle within a unified framework. As an example, the reduced nonholonomic problem of rolling without slipping and twisting of an $n$-dimensional balanced ball over a fixed sphere is considered. For a special inertia operator (depending on $n$ parameters) we prove complete integrability when the radius of the ball is twice the radius of the sphere. In the case of $SO(l)\\times SO(n-l)$ symmet"},"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":"1805.10610","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2018-05-27T11:28:03Z","cross_cats_sorted":["math.DG","math.MP"],"title_canon_sha256":"316a1097e555a5fcdc63a187d43964b3c3dac5638b920259b9ca7e7614bfbab9","abstract_canon_sha256":"1c91ec916408a36fa876e26ebf456e61e85ae0321249e29cad647d433fd44156"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:45:38.362036Z","signature_b64":"7GOY8WeY5EnMLAcUR5wJs5hZG6hCJBm4dIccigaLSg1T8+7SxQO8DW5woV98xnldIZ3CCw//sxrPBEQHoKvZDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"24af7f98f23efa646d0dfa20dc7d68e829fe61d3d25fbfdc7919796127b3a200","last_reissued_at":"2026-05-17T23:45:38.361298Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:45:38.361298Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Nonholonomic connections, time reparametrizations, and integrability of the rolling ball over a sphere","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DG","math.MP"],"primary_cat":"math-ph","authors_text":"Borislav Gajic, Bozidar Jovanovic","submitted_at":"2018-05-27T11:28:03Z","abstract_excerpt":"We study a time reparametrisation of the Newton type equations on Riemannian manifolds slightly modifying the Chaplygin multiplier method, allowing us to consider the Chaplygin method and the Maupertuis principle within a unified framework. As an example, the reduced nonholonomic problem of rolling without slipping and twisting of an $n$-dimensional balanced ball over a fixed sphere is considered. For a special inertia operator (depending on $n$ parameters) we prove complete integrability when the radius of the ball is twice the radius of the sphere. In the case of $SO(l)\\times SO(n-l)$ symmet"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.10610","kind":"arxiv","version":2},"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":"1805.10610","created_at":"2026-05-17T23:45:38.361458+00:00"},{"alias_kind":"arxiv_version","alias_value":"1805.10610v2","created_at":"2026-05-17T23:45:38.361458+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.10610","created_at":"2026-05-17T23:45:38.361458+00:00"},{"alias_kind":"pith_short_12","alias_value":"ESXX7GHSH35G","created_at":"2026-05-18T12:32:22.470017+00:00"},{"alias_kind":"pith_short_16","alias_value":"ESXX7GHSH35GI3IN","created_at":"2026-05-18T12:32:22.470017+00:00"},{"alias_kind":"pith_short_8","alias_value":"ESXX7GHS","created_at":"2026-05-18T12:32:22.470017+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/ESXX7GHSH35GI3IN7IQNY7LI5A","json":"https://pith.science/pith/ESXX7GHSH35GI3IN7IQNY7LI5A.json","graph_json":"https://pith.science/api/pith-number/ESXX7GHSH35GI3IN7IQNY7LI5A/graph.json","events_json":"https://pith.science/api/pith-number/ESXX7GHSH35GI3IN7IQNY7LI5A/events.json","paper":"https://pith.science/paper/ESXX7GHS"},"agent_actions":{"view_html":"https://pith.science/pith/ESXX7GHSH35GI3IN7IQNY7LI5A","download_json":"https://pith.science/pith/ESXX7GHSH35GI3IN7IQNY7LI5A.json","view_paper":"https://pith.science/paper/ESXX7GHS","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1805.10610&json=true","fetch_graph":"https://pith.science/api/pith-number/ESXX7GHSH35GI3IN7IQNY7LI5A/graph.json","fetch_events":"https://pith.science/api/pith-number/ESXX7GHSH35GI3IN7IQNY7LI5A/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ESXX7GHSH35GI3IN7IQNY7LI5A/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ESXX7GHSH35GI3IN7IQNY7LI5A/action/storage_attestation","attest_author":"https://pith.science/pith/ESXX7GHSH35GI3IN7IQNY7LI5A/action/author_attestation","sign_citation":"https://pith.science/pith/ESXX7GHSH35GI3IN7IQNY7LI5A/action/citation_signature","submit_replication":"https://pith.science/pith/ESXX7GHSH35GI3IN7IQNY7LI5A/action/replication_record"}},"created_at":"2026-05-17T23:45:38.361458+00:00","updated_at":"2026-05-17T23:45:38.361458+00:00"}