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In this paper, we focus only on objects with a semi-major axis larger than 50 astronomical units (au).\n  Methods. For each resonant object considered, a 500 000-year numerical integration is performed. The output is digitally filtered to get the parameters of the resonant secular model. Their long-term (Giga-year) orbital evolution is then represented by the level curves of th"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1704.05881","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.EP","submitted_at":"2017-04-19T18:20:16Z","cross_cats_sorted":[],"title_canon_sha256":"6d448fcc555bff9ba70a751b991e98718e153d4f7833a3df317beec8f7ca922a","abstract_canon_sha256":"84102b68f965581c7eb37d5a358d2bc02bc961bf2e2b86d91eeb1486c80d2827"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:40:30.165816Z","signature_b64":"O7tdWDjhC4Uc40ddVN32JtXYA1WYtzeI1uGWFnF2GfQnYEj4SEZ6kdwjVUiARz3mF/pxxzIkkRyehfuxXtTJAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c5d7630ab1596c075098ab2ee61d8713cc801bb162fc2d477a6c62c9a8658357","last_reissued_at":"2026-05-18T00:40:30.165174Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:40:30.165174Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The long-term evolution of known resonant trans-Neptunian objects","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.EP","authors_text":"Giacomo Lari, Melaine Saillenfest","submitted_at":"2017-04-19T18:20:16Z","abstract_excerpt":"Aims. 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