{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:OJYKYSWLFGPPYXCQLGDZS5GDAE","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":"bfe3d5e50ac2f3989f832873412c38bb2e2fb39b61af91c45d33680814d4e9be","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2011-01-13T13:07:37Z","title_canon_sha256":"f2891e79621d8002353aa12a913165f00a3dd256026cdbaa8d485b8bcbb53544"},"schema_version":"1.0","source":{"id":"1101.2551","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1101.2551","created_at":"2026-05-18T04:23:21Z"},{"alias_kind":"arxiv_version","alias_value":"1101.2551v1","created_at":"2026-05-18T04:23:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1101.2551","created_at":"2026-05-18T04:23:21Z"},{"alias_kind":"pith_short_12","alias_value":"OJYKYSWLFGPP","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_16","alias_value":"OJYKYSWLFGPPYXCQ","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_8","alias_value":"OJYKYSWL","created_at":"2026-05-18T12:26:37Z"}],"graph_snapshots":[{"event_id":"sha256:761a32ad1ca32a0335e11d13705514cdb495fd36722c2f5337bc66f8dbf1f6dd","target":"graph","created_at":"2026-05-18T04:23:21Z","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":"We analyze two reduction methods for nonholonomic systems that are invariant under the action of a Lie group on the configuration space. Our approach for obtaining the reduced equations is entirely based on the observation that the dynamics can be represented by a second-order differential equations vector field and that in both cases the reduced dynamics can be described by expressing that vector field in terms of an appropriately chosen anholonomic frame.","authors_text":"M. Crampin, T. Mestdag","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2011-01-13T13:07:37Z","title":"Reduction of invariant constrained systems using anholonomic frames"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1101.2551","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":"sha256:57c18a4bab250eab81907bb79b9dd4afaab71ca5f62d6305c0038a75907765b6","target":"record","created_at":"2026-05-18T04:23:21Z","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":"bfe3d5e50ac2f3989f832873412c38bb2e2fb39b61af91c45d33680814d4e9be","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2011-01-13T13:07:37Z","title_canon_sha256":"f2891e79621d8002353aa12a913165f00a3dd256026cdbaa8d485b8bcbb53544"},"schema_version":"1.0","source":{"id":"1101.2551","kind":"arxiv","version":1}},"canonical_sha256":"7270ac4acb299efc5c5059879974c30108b1a5a46aa0c1a2b9010be7b6cb27be","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7270ac4acb299efc5c5059879974c30108b1a5a46aa0c1a2b9010be7b6cb27be","first_computed_at":"2026-05-18T04:23:21.059470Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:23:21.059470Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jcUFXgBKBUYj/UBo1MxpcZIu46J6fmhnkUl4NMDfXJSJXSpM9k6IXd60eCYyeM9DdOZmj8O6wfxP8aiOboaxAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:23:21.060049Z","signed_message":"canonical_sha256_bytes"},"source_id":"1101.2551","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:57c18a4bab250eab81907bb79b9dd4afaab71ca5f62d6305c0038a75907765b6","sha256:761a32ad1ca32a0335e11d13705514cdb495fd36722c2f5337bc66f8dbf1f6dd"],"state_sha256":"e863fa98bf79ca0c9453dab048c2a71e9595d8bb77042445d5d03e1fc1d9b6f4"}