{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:CVW7ACXKDNQPDXMR352ITZQSNS","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":"9de942f2322bbc0a3a543e90fcee53bd197c25b3ead524481ea9f6cc515e4712","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2012-06-15T14:07:43Z","title_canon_sha256":"af694afbda8fa681dbe969db47113d0417c9491d08e6ea83b8cabe70c90de29a"},"schema_version":"1.0","source":{"id":"1206.3475","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1206.3475","created_at":"2026-05-18T03:53:30Z"},{"alias_kind":"arxiv_version","alias_value":"1206.3475v1","created_at":"2026-05-18T03:53:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1206.3475","created_at":"2026-05-18T03:53:30Z"},{"alias_kind":"pith_short_12","alias_value":"CVW7ACXKDNQP","created_at":"2026-05-18T12:27:01Z"},{"alias_kind":"pith_short_16","alias_value":"CVW7ACXKDNQPDXMR","created_at":"2026-05-18T12:27:01Z"},{"alias_kind":"pith_short_8","alias_value":"CVW7ACXK","created_at":"2026-05-18T12:27:01Z"}],"graph_snapshots":[{"event_id":"sha256:e9e24670982167e6d57b84907ecd5cbb9876e1d91e07d41e0005e412e7eb581c","target":"graph","created_at":"2026-05-18T03:53:30Z","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 2004, F\\'ejoz [D\\'emonstration du 'th\\'eor\\'eme d'Arnold' sur la stabilit\\'e du syst\\`eme plan\\'etaire (d'apr\\`es M. Herman). Ergod. Th. & Dynam. Sys. 24(5) (2004), 1521-1582], completing investigations of Herman's [D\\'emonstration d'un th\\'eor\\'eme de V.I. Arnold. S\\'eminaire de Syst\\'emes Dynamiques et manuscripts, 1998], gave a complete proof of 'Arnold's Theorem' [V. I. Arnol'd. Small denominators and problems of stability of motion in classical and celestial mechanics. Uspekhi Mat. Nauk. 18(6(114)) (1963), 91-192] on the planetary many-body problem, establishing, in particular, the exi","authors_text":"Fabio Pusateri, Luigi Chierchia","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2012-06-15T14:07:43Z","title":"Analytic Lagrangian tori for the planetary many-body problem"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1206.3475","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":"sha256:7816a60d36cbf9f0e5eaf1657e434661e56fd93b52668c57728cd7f2c8f591e6","target":"record","created_at":"2026-05-18T03:53:30Z","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":"9de942f2322bbc0a3a543e90fcee53bd197c25b3ead524481ea9f6cc515e4712","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2012-06-15T14:07:43Z","title_canon_sha256":"af694afbda8fa681dbe969db47113d0417c9491d08e6ea83b8cabe70c90de29a"},"schema_version":"1.0","source":{"id":"1206.3475","kind":"arxiv","version":1}},"canonical_sha256":"156df00aea1b60f1dd91df7489e6126cb8622ee16b2852b89e99074044b78787","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"156df00aea1b60f1dd91df7489e6126cb8622ee16b2852b89e99074044b78787","first_computed_at":"2026-05-18T03:53:30.162343Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:53:30.162343Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rKHuImI9SXDUy6gQjvHFlSGMD24YaHoDCn0ywtNtOW5s/hthCQaEz0OwcJyWwH1kTDQHRjEN56Qm7p2U/as1Bg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:53:30.163021Z","signed_message":"canonical_sha256_bytes"},"source_id":"1206.3475","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7816a60d36cbf9f0e5eaf1657e434661e56fd93b52668c57728cd7f2c8f591e6","sha256:e9e24670982167e6d57b84907ecd5cbb9876e1d91e07d41e0005e412e7eb581c"],"state_sha256":"0c9ac905da50bf64d641662eddea6ce9238a3f8f3a4eecc340a6960eaa2b1c6b"}