{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:CZGGETVLSV42BCIYAKDHN6MAAW","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":"177b9accac89755839731aff5b95027156c55c3cd4c0a1bbd7a20d8b52723766","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2010-11-14T20:49:56Z","title_canon_sha256":"39936943caa85af1a2e1343afb42e0d3991873d3b1d1484464e33a347a69920e"},"schema_version":"1.0","source":{"id":"1011.3251","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1011.3251","created_at":"2026-05-18T04:35:56Z"},{"alias_kind":"arxiv_version","alias_value":"1011.3251v1","created_at":"2026-05-18T04:35:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1011.3251","created_at":"2026-05-18T04:35:56Z"},{"alias_kind":"pith_short_12","alias_value":"CZGGETVLSV42","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_16","alias_value":"CZGGETVLSV42BCIY","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_8","alias_value":"CZGGETVL","created_at":"2026-05-18T12:26:06Z"}],"graph_snapshots":[{"event_id":"sha256:bc3315b0ef5190245b6f4534853c67f93c909e6796b284a663eed6a4cdf56640","target":"graph","created_at":"2026-05-18T04:35:56Z","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":"In the history of mechanics, there have been two points of view for studying mechanical systems: Newtonian and Cartesian.\n  According the Descartes point of view, the motion of mechanical systems is described by the first-order differential equations in the N dimensional configuration space .\n  In this paper we develop the Cartesian approach for mechanical systems with constraints which are linear with respect to velocity.","authors_text":"Natalia Sadovskaia, Rafael Ram\\'irez","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2010-11-14T20:49:56Z","title":"Cartesian approach for constrained mechanical systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1011.3251","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:eadafab8cd26608b5f858dbee7375b911a1fc31aecfe1e03a843798685881d40","target":"record","created_at":"2026-05-18T04:35:56Z","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":"177b9accac89755839731aff5b95027156c55c3cd4c0a1bbd7a20d8b52723766","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2010-11-14T20:49:56Z","title_canon_sha256":"39936943caa85af1a2e1343afb42e0d3991873d3b1d1484464e33a347a69920e"},"schema_version":"1.0","source":{"id":"1011.3251","kind":"arxiv","version":1}},"canonical_sha256":"164c624eab9579a08918028676f98005bf424017aa8a0777a6241b94f89ddc7f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"164c624eab9579a08918028676f98005bf424017aa8a0777a6241b94f89ddc7f","first_computed_at":"2026-05-18T04:35:56.248767Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:35:56.248767Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Q1Bu1HCqd8yzE9NcgI06DGPbAefDEUPw4fQ78ptuOJwcpPcbuxHotwK4RPChudBo3W/R6fs+kyFJi98XHm+pBA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:35:56.249133Z","signed_message":"canonical_sha256_bytes"},"source_id":"1011.3251","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:eadafab8cd26608b5f858dbee7375b911a1fc31aecfe1e03a843798685881d40","sha256:bc3315b0ef5190245b6f4534853c67f93c909e6796b284a663eed6a4cdf56640"],"state_sha256":"ca284bb99274c35e459fab76866a3ccc1c893e861f67897bb06f924617089204"}