{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:2XVGL2UOZQC32XJV37X6UTXEG7","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":"d686e121a29b29c8cf56da4b57f029b4b446f860d7522939420316318bba96e4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.EP","submitted_at":"2017-08-09T08:53:16Z","title_canon_sha256":"6de0be6d3b86f957fb7d2efaf944f0586ebe33270674f70d9a90aa48125b8f34"},"schema_version":"1.0","source":{"id":"1708.02761","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1708.02761","created_at":"2026-05-18T00:38:19Z"},{"alias_kind":"arxiv_version","alias_value":"1708.02761v1","created_at":"2026-05-18T00:38:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.02761","created_at":"2026-05-18T00:38:19Z"},{"alias_kind":"pith_short_12","alias_value":"2XVGL2UOZQC3","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_16","alias_value":"2XVGL2UOZQC32XJV","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_8","alias_value":"2XVGL2UO","created_at":"2026-05-18T12:30:55Z"}],"graph_snapshots":[{"event_id":"sha256:2f0b4fdd4c4182fa08545005f139039ec714a11da810750923b295d40daf76fa","target":"graph","created_at":"2026-05-18T00:38:19Z","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 spatial circular restricted three-body problem librational motion around the Lagrangian points $L_4$ and $L_5$ exists up to high inclinations of the massless object. We report the results of numerical investigations on the stability of this librational motion for systematic variations in the inclination of the Trojan and the mass-ratio $\\mu$ of the two massive bodies. We show that stable motion prevails for inclinations below 60 degrees and mass-ratios $\\mu < 0.04$ for typical integration times up to $10^6$ revolution periods. At even higher mass-ratios -- beyond the critical mass-ratio","authors_text":"\\'Akos Bazs\\'o, B\\'alint \\'Erdi, Barbara Funk, Richard Schwarz","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.EP","submitted_at":"2017-08-09T08:53:16Z","title":"Stability of librational motion in the spatial circular restricted three-body problem for high inclinations and mass ratios"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.02761","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:f27ead883d6f857c922263be932b4269d93c9c066500b39f4e7b773999ae1aba","target":"record","created_at":"2026-05-18T00:38:19Z","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":"d686e121a29b29c8cf56da4b57f029b4b446f860d7522939420316318bba96e4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.EP","submitted_at":"2017-08-09T08:53:16Z","title_canon_sha256":"6de0be6d3b86f957fb7d2efaf944f0586ebe33270674f70d9a90aa48125b8f34"},"schema_version":"1.0","source":{"id":"1708.02761","kind":"arxiv","version":1}},"canonical_sha256":"d5ea65ea8ecc05bd5d35dfefea4ee437fea0d242e6e13d95733b24a656b2eaa6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d5ea65ea8ecc05bd5d35dfefea4ee437fea0d242e6e13d95733b24a656b2eaa6","first_computed_at":"2026-05-18T00:38:19.641926Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:38:19.641926Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"RG2zgnDo3xk/xV79REmtK2T+CjScxo09DCb1paawQhmOPTML8xak+wpeAA7+KHDL92bcbsCQfat/9Ay7xu/1CA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:38:19.642560Z","signed_message":"canonical_sha256_bytes"},"source_id":"1708.02761","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f27ead883d6f857c922263be932b4269d93c9c066500b39f4e7b773999ae1aba","sha256:2f0b4fdd4c4182fa08545005f139039ec714a11da810750923b295d40daf76fa"],"state_sha256":"ea14f1056b19460c276f7c462f3b42bc3d6d94488bc4b82b75274d342aa6286a"}