{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:PLAVC2ELT5R35GXDJWYQ5FURVI","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":"b0719061fd22caf9d89a1416ea4dffae7a2c1ba4c87c37fe87bec731965df3a5","cross_cats_sorted":["cs.NA"],"license":"","primary_cat":"math.NA","submitted_at":"2006-11-03T14:23:36Z","title_canon_sha256":"7df090b28db840026394806226d7236b8ce1e27b50b5cd7847ff8cf19b08afd2"},"schema_version":"1.0","source":{"id":"math/0611078","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0611078","created_at":"2026-06-03T22:06:21Z"},{"alias_kind":"arxiv_version","alias_value":"math/0611078v1","created_at":"2026-06-03T22:06:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0611078","created_at":"2026-06-03T22:06:21Z"},{"alias_kind":"pith_short_12","alias_value":"PLAVC2ELT5R3","created_at":"2026-06-03T22:06:21Z"},{"alias_kind":"pith_short_16","alias_value":"PLAVC2ELT5R35GXD","created_at":"2026-06-03T22:06:21Z"},{"alias_kind":"pith_short_8","alias_value":"PLAVC2EL","created_at":"2026-06-03T22:06:21Z"}],"graph_snapshots":[{"event_id":"sha256:4b6be97d440a2b7175dabe0f091fc0308d3bfb65a9f7e870904850fbbd2b5769","target":"graph","created_at":"2026-06-03T22:06:21Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/math/0611078/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We use Lagrangian formalism and jet spaces to derive a computational model to simulate multibody dynamics with holonomic constraints. Our approach avoids the traditional problems of drift-off and spurious oscillations. Hence even long simulations remain physically relevant. We illustrate our method with several numerical examples.","authors_text":"Jukka Tuomela, Teijo Arponen, Villesamuli Normi","cross_cats":["cs.NA"],"headline":"","license":"","primary_cat":"math.NA","submitted_at":"2006-11-03T14:23:36Z","title":"On the simulation of multibody systems with holonomic constraints"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0611078","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:e700d5ee34234415447d1bd6d64466e10a66a1ffb09e6665ff42c6928f5fa653","target":"record","created_at":"2026-06-03T22:06:21Z","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":"b0719061fd22caf9d89a1416ea4dffae7a2c1ba4c87c37fe87bec731965df3a5","cross_cats_sorted":["cs.NA"],"license":"","primary_cat":"math.NA","submitted_at":"2006-11-03T14:23:36Z","title_canon_sha256":"7df090b28db840026394806226d7236b8ce1e27b50b5cd7847ff8cf19b08afd2"},"schema_version":"1.0","source":{"id":"math/0611078","kind":"arxiv","version":1}},"canonical_sha256":"7ac151688b9f63be9ae34db10e9691aa0a7919a9e0b5ae7259af062a9f65e816","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7ac151688b9f63be9ae34db10e9691aa0a7919a9e0b5ae7259af062a9f65e816","first_computed_at":"2026-06-03T22:06:21.063513Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-03T22:06:21.063513Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Mq8OpUA43BgGfqHMkGfUwHKdw+yMPlNpPnVg6CFMcMv4393z8X2/BEcm4/RtDY1ciwOFWtPQZA6jFDHeRzNBBA==","signature_status":"signed_v1","signed_at":"2026-06-03T22:06:21.063918Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/0611078","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e700d5ee34234415447d1bd6d64466e10a66a1ffb09e6665ff42c6928f5fa653","sha256:4b6be97d440a2b7175dabe0f091fc0308d3bfb65a9f7e870904850fbbd2b5769"],"state_sha256":"467e2d7f49c7706aaa27d974b3942e511b192badbe6d976b868321dd071b6551"}