{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:BSJXBKLDEOAYYDVI3DM4CEE2ES","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":"8fe24f0f9ecdff184952c4eea64a73371f1f1ae88394336ca6c1239ea3295d77","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2010-10-08T15:56:49Z","title_canon_sha256":"3e82e89a608988a757b694e238ece8cde4e442ec727e85ec6cbfc468784a54ab"},"schema_version":"1.0","source":{"id":"1010.1724","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1010.1724","created_at":"2026-05-18T04:39:39Z"},{"alias_kind":"arxiv_version","alias_value":"1010.1724v1","created_at":"2026-05-18T04:39:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1010.1724","created_at":"2026-05-18T04:39:39Z"},{"alias_kind":"pith_short_12","alias_value":"BSJXBKLDEOAY","created_at":"2026-05-18T12:26:05Z"},{"alias_kind":"pith_short_16","alias_value":"BSJXBKLDEOAYYDVI","created_at":"2026-05-18T12:26:05Z"},{"alias_kind":"pith_short_8","alias_value":"BSJXBKLD","created_at":"2026-05-18T12:26:05Z"}],"graph_snapshots":[{"event_id":"sha256:292d776ee4304c68ae560cfe570398c90f554cbd1396c161ccdf7d02b4156413","target":"graph","created_at":"2026-05-18T04:39:39Z","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":"This paper presents an analytical model and a geometric numerical integrator for a tethered spacecraft model that is composed of two rigid bodies connected by an elastic tether. This model includes important dynamic characteristics of tethered spacecraft in orbit, namely the nonlinear coupling between deformations of tether, rotational dynamics of rigid bodies, a reeling mechanism, and orbital dynamics. A geometric numerical integrator, referred to as a Lie group variational integrator, is developed to numerically preserve the Hamiltonian structure of the presented model and its Lie group conf","authors_text":"Melvin Leok, N. Harris McClamroch, Taeyoung Lee","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2010-10-08T15:56:49Z","title":"Geometric Numerical Integration for Complex Dynamics of Tethered Spacecraft"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1010.1724","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":"sha256:3d8d1bd11cedd8f6490cd58860d0c08fce4a208a236e732cdf96da8474c3ba2b","target":"record","created_at":"2026-05-18T04:39:39Z","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":"8fe24f0f9ecdff184952c4eea64a73371f1f1ae88394336ca6c1239ea3295d77","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2010-10-08T15:56:49Z","title_canon_sha256":"3e82e89a608988a757b694e238ece8cde4e442ec727e85ec6cbfc468784a54ab"},"schema_version":"1.0","source":{"id":"1010.1724","kind":"arxiv","version":1}},"canonical_sha256":"0c9370a96323818c0ea8d8d9c1109a24b88fbdbac7420da60bac831841e435ff","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0c9370a96323818c0ea8d8d9c1109a24b88fbdbac7420da60bac831841e435ff","first_computed_at":"2026-05-18T04:39:39.793982Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:39:39.793982Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"eVkWl2CsAjaOaPOMJU20qMRAzKwe9DxCsN0AZ9nNhCwAjd8o5GfJGOsBJ+4R/rUD4jtbK1DFnSKkM1cFvyH3Ag==","signature_status":"signed_v1","signed_at":"2026-05-18T04:39:39.794485Z","signed_message":"canonical_sha256_bytes"},"source_id":"1010.1724","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3d8d1bd11cedd8f6490cd58860d0c08fce4a208a236e732cdf96da8474c3ba2b","sha256:292d776ee4304c68ae560cfe570398c90f554cbd1396c161ccdf7d02b4156413"],"state_sha256":"38c6f2a5973878b34795e85602c5a6193ca17ec5a7ab68035c604cf4d32bd27a"}