{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:6FRGSHHWUJTM3ENYWEM66FMA3Z","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":"0626f1a9bae0e565b49c023043f43dae5269c02c70eed02977a4721b801dd436","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2008-06-06T09:50:14Z","title_canon_sha256":"ab290b4623e26ee31d374569ac0246449e69797e87492ee51641c3b1a1a44551"},"schema_version":"1.0","source":{"id":"0806.1117","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0806.1117","created_at":"2026-05-18T04:08:04Z"},{"alias_kind":"arxiv_version","alias_value":"0806.1117v1","created_at":"2026-05-18T04:08:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0806.1117","created_at":"2026-05-18T04:08:04Z"},{"alias_kind":"pith_short_12","alias_value":"6FRGSHHWUJTM","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_16","alias_value":"6FRGSHHWUJTM3ENY","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_8","alias_value":"6FRGSHHW","created_at":"2026-05-18T12:25:56Z"}],"graph_snapshots":[{"event_id":"sha256:6d7b05f52d062149be7516992ebeea18ea2af27da15ba3458d843d66ee7729ea","target":"graph","created_at":"2026-05-18T04:08:04Z","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":"The purpose of this paper is to show that, at least for Lagrangians of mechanical type, nonholonomic Euler-Lagrange equations for a nonholonomic linear constraint D may be viewed as non-constrained Euler-Lagrange equations but on a new (generally not Lie) algebroid structure on D. The proposed novel formalism allows us to treat in a unified way a variety of situations in nonholonomic mechanics and gives rise to a version of Neoether Theorem producing actual first integrals in case of symmetries.","authors_text":"D. Martin de Diego, J. C. Marrero, J. Grabowski, M. de Leon","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2008-06-06T09:50:14Z","title":"Nonholonomic Constraints: a New Viewpoint"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0806.1117","kind":"arxiv","version":1},"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":"sha256:27366a622e46e719984ee8896d94ad05f65abd7cbb52021cb5e8310b772b000f","target":"record","created_at":"2026-05-18T04:08:04Z","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":"0626f1a9bae0e565b49c023043f43dae5269c02c70eed02977a4721b801dd436","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2008-06-06T09:50:14Z","title_canon_sha256":"ab290b4623e26ee31d374569ac0246449e69797e87492ee51641c3b1a1a44551"},"schema_version":"1.0","source":{"id":"0806.1117","kind":"arxiv","version":1}},"canonical_sha256":"f162691cf6a266cd91b8b119ef1580de7f1a8aede23899ad1f4be23d71fbdb69","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f162691cf6a266cd91b8b119ef1580de7f1a8aede23899ad1f4be23d71fbdb69","first_computed_at":"2026-05-18T04:08:04.295796Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:08:04.295796Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"97rb4wX40g//tzdedd+3nXDNcnIDGGBA49GqDOZFz1bR8CKD/JNDeG06JPjUckap+3B7dUZeozYtBy/ctCArCg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:08:04.296310Z","signed_message":"canonical_sha256_bytes"},"source_id":"0806.1117","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:27366a622e46e719984ee8896d94ad05f65abd7cbb52021cb5e8310b772b000f","sha256:6d7b05f52d062149be7516992ebeea18ea2af27da15ba3458d843d66ee7729ea"],"state_sha256":"3c98480d4d1a0756e3a183286b2cd067b5a5faebf945cb7a647b7550fe5628eb"}