{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:IVP7YOMFI2ODU2YFE32MSDOCJS","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":"dc1676fc380c0577aec723b27397a5af468e8ca2163059b3569b66e5de4c9b54","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2011-09-13T19:44:24Z","title_canon_sha256":"9857ff262853c2968e823d556ec978bda0396dc9ca5713b31e103ffa3a2fd6c7"},"schema_version":"1.0","source":{"id":"1109.2892","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1109.2892","created_at":"2026-05-18T03:20:06Z"},{"alias_kind":"arxiv_version","alias_value":"1109.2892v2","created_at":"2026-05-18T03:20:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.2892","created_at":"2026-05-18T03:20:06Z"},{"alias_kind":"pith_short_12","alias_value":"IVP7YOMFI2OD","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_16","alias_value":"IVP7YOMFI2ODU2YF","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_8","alias_value":"IVP7YOMF","created_at":"2026-05-18T12:26:32Z"}],"graph_snapshots":[{"event_id":"sha256:be1af0fde51650193af971538760fb5ccade7f09d1924fe4e0d6129ecc93d5f7","target":"graph","created_at":"2026-05-18T03:20:06Z","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":"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","authors_text":"Jacques Fejoz, Marcel Guardia, Pablo Roldan, Vadim Kaloshin","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2011-09-13T19:44:24Z","title":"Kirkwood gaps and diffusion along mean motion resonances in the restricted planar three-body problem"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.2892","kind":"arxiv","version":2},"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":"sha256:87f370e7434068362ca6f0dc5574e4bb867ab48a49cb7cae289c0533e80ab370","target":"record","created_at":"2026-05-18T03:20:06Z","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":"dc1676fc380c0577aec723b27397a5af468e8ca2163059b3569b66e5de4c9b54","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2011-09-13T19:44:24Z","title_canon_sha256":"9857ff262853c2968e823d556ec978bda0396dc9ca5713b31e103ffa3a2fd6c7"},"schema_version":"1.0","source":{"id":"1109.2892","kind":"arxiv","version":2}},"canonical_sha256":"455ffc3985469c3a6b0526f4c90dc24cb699a811edb944564d88b2507f50003e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"455ffc3985469c3a6b0526f4c90dc24cb699a811edb944564d88b2507f50003e","first_computed_at":"2026-05-18T03:20:06.793541Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:20:06.793541Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"TT9xvhCi1MXsl7qF3KjUVjy7hXg7K+VjoNj1Z2l2XWj9ODxxEZD1Re81RR2qLbnCkPwmi/eiL59bUUPZPWc6CA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:20:06.794082Z","signed_message":"canonical_sha256_bytes"},"source_id":"1109.2892","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:87f370e7434068362ca6f0dc5574e4bb867ab48a49cb7cae289c0533e80ab370","sha256:be1af0fde51650193af971538760fb5ccade7f09d1924fe4e0d6129ecc93d5f7"],"state_sha256":"e241b4ff74dbefc388eb67f5eb9757095f7ecab8887e5f32834386ddd1462af7"}