{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:O5K2BQPUVXE27RL4Y7IMULJMUJ","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"79a80bfe06290f207c5675acdcb6cdd5d7cd3b93382a7033201db3bb4ecf7858","cross_cats_sorted":["math-ph","math.DS","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-05-09T17:32:48Z","title_canon_sha256":"d7ba98e1193b73077756390c4d7d1eea4adf83711f45ccd83bda809ee8c16ca6"},"schema_version":"1.0","source":{"id":"1605.02666","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1605.02666","created_at":"2026-05-18T00:19:04Z"},{"alias_kind":"arxiv_version","alias_value":"1605.02666v2","created_at":"2026-05-18T00:19:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.02666","created_at":"2026-05-18T00:19:04Z"},{"alias_kind":"pith_short_12","alias_value":"O5K2BQPUVXE2","created_at":"2026-05-18T12:30:36Z"},{"alias_kind":"pith_short_16","alias_value":"O5K2BQPUVXE27RL4","created_at":"2026-05-18T12:30:36Z"},{"alias_kind":"pith_short_8","alias_value":"O5K2BQPU","created_at":"2026-05-18T12:30:36Z"}],"graph_snapshots":[{"event_id":"sha256:d9fec09681371cf0d42ed6883daa8f86f91ad9a3a93798a3e6afff4791333c73","target":"graph","created_at":"2026-05-18T00:19:04Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"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 ","authors_text":"Fernando Jimenez, Luis C. Garcia-Naranjo","cross_cats":["math-ph","math.DS","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-05-09T17:32:48Z","title":"The geometric discretisation of the Suslov problem: a case study of consistency for nonholonomic integrators"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.02666","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:60b3148833fc1ed8231e3f1eb6423fef6239602cfe371c6847a49951d3b6030c","target":"record","created_at":"2026-05-18T00:19:04Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"79a80bfe06290f207c5675acdcb6cdd5d7cd3b93382a7033201db3bb4ecf7858","cross_cats_sorted":["math-ph","math.DS","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-05-09T17:32:48Z","title_canon_sha256":"d7ba98e1193b73077756390c4d7d1eea4adf83711f45ccd83bda809ee8c16ca6"},"schema_version":"1.0","source":{"id":"1605.02666","kind":"arxiv","version":2}},"canonical_sha256":"7755a0c1f4adc9afc57cc7d0ca2d2ca2736901d32b5cee4d56eef357b2c8cf87","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7755a0c1f4adc9afc57cc7d0ca2d2ca2736901d32b5cee4d56eef357b2c8cf87","first_computed_at":"2026-05-18T00:19:04.590122Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:19:04.590122Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Pq+tX1mhvAJeHmC3WMniYmkW69tpntUc9PKhogiUoKJQOY1QQdLz2lE2/4funPhvOD4RD3tEHSmwFKWkVDe0Dw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:19:04.590716Z","signed_message":"canonical_sha256_bytes"},"source_id":"1605.02666","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:60b3148833fc1ed8231e3f1eb6423fef6239602cfe371c6847a49951d3b6030c","sha256:d9fec09681371cf0d42ed6883daa8f86f91ad9a3a93798a3e6afff4791333c73"],"state_sha256":"3574e1e16f19e653481f5810daaa528d8fe4fe508e95a64e3b32519a03f723b6"}