{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:IVP7YOMFI2ODU2YFE32MSDOCJS","short_pith_number":"pith:IVP7YOMF","schema_version":"1.0","canonical_sha256":"455ffc3985469c3a6b0526f4c90dc24cb699a811edb944564d88b2507f50003e","source":{"kind":"arxiv","id":"1109.2892","version":2},"attestation_state":"computed","paper":{"title":"Kirkwood gaps and diffusion along mean motion resonances in the restricted planar three-body problem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Jacques Fejoz, Marcel Guardia, Pablo Roldan, Vadim Kaloshin","submitted_at":"2011-09-13T19:44:24Z","abstract_excerpt":"We study the dynamics of the restricted planar three-body problem near mean motion resonances, i.e. a resonance involving the Keplerian periods of the two lighter bodies revolving around the most massive one. This problem is often used to model Sun--Jupiter--asteroid systems. For the primaries (Sun and Jupiter), we pick a realistic mass ratio $\\mu=10^{-3}$ and a small eccentricity $e_0>0$. The main result is a construction of a variety of non local diffusing orbits which show a drastic change of the osculating (instant) eccentricity of the asteroid, while the osculating semi major axis is kept"},"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":"1109.2892","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2011-09-13T19:44:24Z","cross_cats_sorted":[],"title_canon_sha256":"9857ff262853c2968e823d556ec978bda0396dc9ca5713b31e103ffa3a2fd6c7","abstract_canon_sha256":"dc1676fc380c0577aec723b27397a5af468e8ca2163059b3569b66e5de4c9b54"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:20:06.794082Z","signature_b64":"TT9xvhCi1MXsl7qF3KjUVjy7hXg7K+VjoNj1Z2l2XWj9ODxxEZD1Re81RR2qLbnCkPwmi/eiL59bUUPZPWc6CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"455ffc3985469c3a6b0526f4c90dc24cb699a811edb944564d88b2507f50003e","last_reissued_at":"2026-05-18T03:20:06.793541Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:20:06.793541Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Kirkwood gaps and diffusion along mean motion resonances in the restricted planar three-body problem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Jacques Fejoz, Marcel Guardia, Pablo Roldan, Vadim Kaloshin","submitted_at":"2011-09-13T19:44:24Z","abstract_excerpt":"We study the dynamics of the restricted planar three-body problem near mean motion resonances, i.e. a resonance involving the Keplerian periods of the two lighter bodies revolving around the most massive one. This problem is often used to model Sun--Jupiter--asteroid systems. For the primaries (Sun and Jupiter), we pick a realistic mass ratio $\\mu=10^{-3}$ and a small eccentricity $e_0>0$. The main result is a construction of a variety of non local diffusing orbits which show a drastic change of the osculating (instant) eccentricity of the asteroid, while the osculating semi major axis is kept"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.2892","kind":"arxiv","version":2},"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":"1109.2892","created_at":"2026-05-18T03:20:06.793627+00:00"},{"alias_kind":"arxiv_version","alias_value":"1109.2892v2","created_at":"2026-05-18T03:20:06.793627+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.2892","created_at":"2026-05-18T03:20:06.793627+00:00"},{"alias_kind":"pith_short_12","alias_value":"IVP7YOMFI2OD","created_at":"2026-05-18T12:26:32.869790+00:00"},{"alias_kind":"pith_short_16","alias_value":"IVP7YOMFI2ODU2YF","created_at":"2026-05-18T12:26:32.869790+00:00"},{"alias_kind":"pith_short_8","alias_value":"IVP7YOMF","created_at":"2026-05-18T12:26:32.869790+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/IVP7YOMFI2ODU2YFE32MSDOCJS","json":"https://pith.science/pith/IVP7YOMFI2ODU2YFE32MSDOCJS.json","graph_json":"https://pith.science/api/pith-number/IVP7YOMFI2ODU2YFE32MSDOCJS/graph.json","events_json":"https://pith.science/api/pith-number/IVP7YOMFI2ODU2YFE32MSDOCJS/events.json","paper":"https://pith.science/paper/IVP7YOMF"},"agent_actions":{"view_html":"https://pith.science/pith/IVP7YOMFI2ODU2YFE32MSDOCJS","download_json":"https://pith.science/pith/IVP7YOMFI2ODU2YFE32MSDOCJS.json","view_paper":"https://pith.science/paper/IVP7YOMF","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1109.2892&json=true","fetch_graph":"https://pith.science/api/pith-number/IVP7YOMFI2ODU2YFE32MSDOCJS/graph.json","fetch_events":"https://pith.science/api/pith-number/IVP7YOMFI2ODU2YFE32MSDOCJS/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/IVP7YOMFI2ODU2YFE32MSDOCJS/action/timestamp_anchor","attest_storage":"https://pith.science/pith/IVP7YOMFI2ODU2YFE32MSDOCJS/action/storage_attestation","attest_author":"https://pith.science/pith/IVP7YOMFI2ODU2YFE32MSDOCJS/action/author_attestation","sign_citation":"https://pith.science/pith/IVP7YOMFI2ODU2YFE32MSDOCJS/action/citation_signature","submit_replication":"https://pith.science/pith/IVP7YOMFI2ODU2YFE32MSDOCJS/action/replication_record"}},"created_at":"2026-05-18T03:20:06.793627+00:00","updated_at":"2026-05-18T03:20:06.793627+00:00"}