{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:O5K2BQPUVXE27RL4Y7IMULJMUJ","short_pith_number":"pith:O5K2BQPU","schema_version":"1.0","canonical_sha256":"7755a0c1f4adc9afc57cc7d0ca2d2ca2736901d32b5cee4d56eef357b2c8cf87","source":{"kind":"arxiv","id":"1605.02666","version":2},"attestation_state":"computed","paper":{"title":"The geometric discretisation of the Suslov problem: a case study of consistency for nonholonomic integrators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.DS","math.MP"],"primary_cat":"math.NA","authors_text":"Fernando Jimenez, Luis C. Garcia-Naranjo","submitted_at":"2016-05-09T17:32:48Z","abstract_excerpt":"Geometric integrators for nonholonomic systems were introduced by Cort\\'es and Mart\\'inez in [Nonholonomic integrators, Nonlinearity, 14, 2001] by proposing a discrete Lagrange-D'Alembert principle. Their approach is based on the definition of a discrete Lagrangian $L_d$ and a discrete constraint space $D_d$. There is no recipe to construct these objects and the performance of the integrator is sensitive to their choice.\n  Cort\\'es and Mart\\'inez claim that choosing $L_d$ and $D_d$ in a consistent manner with respect to a finite difference map is necessary to guarantee an approximation of the "},"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":"1605.02666","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-05-09T17:32:48Z","cross_cats_sorted":["math-ph","math.DS","math.MP"],"title_canon_sha256":"d7ba98e1193b73077756390c4d7d1eea4adf83711f45ccd83bda809ee8c16ca6","abstract_canon_sha256":"79a80bfe06290f207c5675acdcb6cdd5d7cd3b93382a7033201db3bb4ecf7858"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:19:04.590716Z","signature_b64":"Pq+tX1mhvAJeHmC3WMniYmkW69tpntUc9PKhogiUoKJQOY1QQdLz2lE2/4funPhvOD4RD3tEHSmwFKWkVDe0Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7755a0c1f4adc9afc57cc7d0ca2d2ca2736901d32b5cee4d56eef357b2c8cf87","last_reissued_at":"2026-05-18T00:19:04.590122Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:19:04.590122Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The geometric discretisation of the Suslov problem: a case study of consistency for nonholonomic integrators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.DS","math.MP"],"primary_cat":"math.NA","authors_text":"Fernando Jimenez, Luis C. Garcia-Naranjo","submitted_at":"2016-05-09T17:32:48Z","abstract_excerpt":"Geometric integrators for nonholonomic systems were introduced by Cort\\'es and Mart\\'inez in [Nonholonomic integrators, Nonlinearity, 14, 2001] by proposing a discrete Lagrange-D'Alembert principle. Their approach is based on the definition of a discrete Lagrangian $L_d$ and a discrete constraint space $D_d$. There is no recipe to construct these objects and the performance of the integrator is sensitive to their choice.\n  Cort\\'es and Mart\\'inez claim that choosing $L_d$ and $D_d$ in a consistent manner with respect to a finite difference map is necessary to guarantee an approximation of the "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.02666","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":"1605.02666","created_at":"2026-05-18T00:19:04.590209+00:00"},{"alias_kind":"arxiv_version","alias_value":"1605.02666v2","created_at":"2026-05-18T00:19:04.590209+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.02666","created_at":"2026-05-18T00:19:04.590209+00:00"},{"alias_kind":"pith_short_12","alias_value":"O5K2BQPUVXE2","created_at":"2026-05-18T12:30:36.002864+00:00"},{"alias_kind":"pith_short_16","alias_value":"O5K2BQPUVXE27RL4","created_at":"2026-05-18T12:30:36.002864+00:00"},{"alias_kind":"pith_short_8","alias_value":"O5K2BQPU","created_at":"2026-05-18T12:30:36.002864+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/O5K2BQPUVXE27RL4Y7IMULJMUJ","json":"https://pith.science/pith/O5K2BQPUVXE27RL4Y7IMULJMUJ.json","graph_json":"https://pith.science/api/pith-number/O5K2BQPUVXE27RL4Y7IMULJMUJ/graph.json","events_json":"https://pith.science/api/pith-number/O5K2BQPUVXE27RL4Y7IMULJMUJ/events.json","paper":"https://pith.science/paper/O5K2BQPU"},"agent_actions":{"view_html":"https://pith.science/pith/O5K2BQPUVXE27RL4Y7IMULJMUJ","download_json":"https://pith.science/pith/O5K2BQPUVXE27RL4Y7IMULJMUJ.json","view_paper":"https://pith.science/paper/O5K2BQPU","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1605.02666&json=true","fetch_graph":"https://pith.science/api/pith-number/O5K2BQPUVXE27RL4Y7IMULJMUJ/graph.json","fetch_events":"https://pith.science/api/pith-number/O5K2BQPUVXE27RL4Y7IMULJMUJ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/O5K2BQPUVXE27RL4Y7IMULJMUJ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/O5K2BQPUVXE27RL4Y7IMULJMUJ/action/storage_attestation","attest_author":"https://pith.science/pith/O5K2BQPUVXE27RL4Y7IMULJMUJ/action/author_attestation","sign_citation":"https://pith.science/pith/O5K2BQPUVXE27RL4Y7IMULJMUJ/action/citation_signature","submit_replication":"https://pith.science/pith/O5K2BQPUVXE27RL4Y7IMULJMUJ/action/replication_record"}},"created_at":"2026-05-18T00:19:04.590209+00:00","updated_at":"2026-05-18T00:19:04.590209+00:00"}