{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:U5WCAA76WWOO4ENX3ENVI33TX2","short_pith_number":"pith:U5WCAA76","schema_version":"1.0","canonical_sha256":"a76c2003feb59cee11b7d91b546f73be8ab418519e82ba127397721740f66c4e","source":{"kind":"arxiv","id":"1510.00591","version":4},"attestation_state":"computed","paper":{"title":"Arnold diffusion in the planar elliptic restricted three-body problem: mechanism and numerical verification","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Maciej J. Capinski, Marian Gidea, Rafael de la Llave","submitted_at":"2015-10-02T13:29:31Z","abstract_excerpt":"We present a diffusion mechanism for time-dependent perturbations of autonomous Hamiltonian systems introduced in [25]. This mechanism is based on shadowing of pseudo-orbits generated by two dynamics: an `outer dynamics', given by homoclinic trajectories to a normally hyperbolic invariant manifold, and an `inner dynamics', given by the restriction to that manifold. On the inner dynamics the only assumption is that it preserves area. Unlike other approaches, [25] does not rely on the KAM theory and/or Aubry-Mather theory to establish the existence of diffusion. Moreover, it does not require to "},"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":"1510.00591","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2015-10-02T13:29:31Z","cross_cats_sorted":[],"title_canon_sha256":"2519ce58bf805b8a104e8eacf83402894fb6cce48723676f82d7863bb775fb50","abstract_canon_sha256":"e8ea5f671e1c656a42e788c6dbcdd21a7d7a9cef3e2690500bce18374d459c69"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:54:48.126622Z","signature_b64":"9P2HMT+Q6sTC+HEe5m6+IfAaZhMMmVDImqePHHIJoLPaVhe542cRVjR7Ov1npbRTjdbSRp5OvX6pI9KA33bXCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a76c2003feb59cee11b7d91b546f73be8ab418519e82ba127397721740f66c4e","last_reissued_at":"2026-05-18T00:54:48.125888Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:54:48.125888Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Arnold diffusion in the planar elliptic restricted three-body problem: mechanism and numerical verification","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Maciej J. Capinski, Marian Gidea, Rafael de la Llave","submitted_at":"2015-10-02T13:29:31Z","abstract_excerpt":"We present a diffusion mechanism for time-dependent perturbations of autonomous Hamiltonian systems introduced in [25]. This mechanism is based on shadowing of pseudo-orbits generated by two dynamics: an `outer dynamics', given by homoclinic trajectories to a normally hyperbolic invariant manifold, and an `inner dynamics', given by the restriction to that manifold. On the inner dynamics the only assumption is that it preserves area. Unlike other approaches, [25] does not rely on the KAM theory and/or Aubry-Mather theory to establish the existence of diffusion. Moreover, it does not require to "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.00591","kind":"arxiv","version":4},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1510.00591","created_at":"2026-05-18T00:54:48.125994+00:00"},{"alias_kind":"arxiv_version","alias_value":"1510.00591v4","created_at":"2026-05-18T00:54:48.125994+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.00591","created_at":"2026-05-18T00:54:48.125994+00:00"},{"alias_kind":"pith_short_12","alias_value":"U5WCAA76WWOO","created_at":"2026-05-18T12:29:44.643036+00:00"},{"alias_kind":"pith_short_16","alias_value":"U5WCAA76WWOO4ENX","created_at":"2026-05-18T12:29:44.643036+00:00"},{"alias_kind":"pith_short_8","alias_value":"U5WCAA76","created_at":"2026-05-18T12:29:44.643036+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/U5WCAA76WWOO4ENX3ENVI33TX2","json":"https://pith.science/pith/U5WCAA76WWOO4ENX3ENVI33TX2.json","graph_json":"https://pith.science/api/pith-number/U5WCAA76WWOO4ENX3ENVI33TX2/graph.json","events_json":"https://pith.science/api/pith-number/U5WCAA76WWOO4ENX3ENVI33TX2/events.json","paper":"https://pith.science/paper/U5WCAA76"},"agent_actions":{"view_html":"https://pith.science/pith/U5WCAA76WWOO4ENX3ENVI33TX2","download_json":"https://pith.science/pith/U5WCAA76WWOO4ENX3ENVI33TX2.json","view_paper":"https://pith.science/paper/U5WCAA76","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1510.00591&json=true","fetch_graph":"https://pith.science/api/pith-number/U5WCAA76WWOO4ENX3ENVI33TX2/graph.json","fetch_events":"https://pith.science/api/pith-number/U5WCAA76WWOO4ENX3ENVI33TX2/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/U5WCAA76WWOO4ENX3ENVI33TX2/action/timestamp_anchor","attest_storage":"https://pith.science/pith/U5WCAA76WWOO4ENX3ENVI33TX2/action/storage_attestation","attest_author":"https://pith.science/pith/U5WCAA76WWOO4ENX3ENVI33TX2/action/author_attestation","sign_citation":"https://pith.science/pith/U5WCAA76WWOO4ENX3ENVI33TX2/action/citation_signature","submit_replication":"https://pith.science/pith/U5WCAA76WWOO4ENX3ENVI33TX2/action/replication_record"}},"created_at":"2026-05-18T00:54:48.125994+00:00","updated_at":"2026-05-18T00:54:48.125994+00:00"}