{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:X22JSJJ3CZVZZHSQGCSZWOIPDM","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":"2b3630c3207584487ff1340c0e96a4dad8f4924fe11e24863f2106ca3c55576f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2017-09-29T18:52:50Z","title_canon_sha256":"674fce780a685349166893fbe0e7f871604fb62fc3e34924d9dd1721462ab1b6"},"schema_version":"1.0","source":{"id":"1710.00029","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.00029","created_at":"2026-05-18T00:17:54Z"},{"alias_kind":"arxiv_version","alias_value":"1710.00029v2","created_at":"2026-05-18T00:17:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.00029","created_at":"2026-05-18T00:17:54Z"},{"alias_kind":"pith_short_12","alias_value":"X22JSJJ3CZVZ","created_at":"2026-05-18T12:31:53Z"},{"alias_kind":"pith_short_16","alias_value":"X22JSJJ3CZVZZHSQ","created_at":"2026-05-18T12:31:53Z"},{"alias_kind":"pith_short_8","alias_value":"X22JSJJ3","created_at":"2026-05-18T12:31:53Z"}],"graph_snapshots":[{"event_id":"sha256:2a9257cd5e03ba83d0443b7014827f57fb74363405e3887793a4a9d7d14f1f2b","target":"graph","created_at":"2026-05-18T00:17:54Z","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 prove that for any non-trivial perturbation depending on any two independent harmonics of a pendulum and a rotor there is global instability. The proof is based on the geometrical method and relies on the concrete computation of several scattering maps. A complete description of the different kinds of scattering maps taking place as well as the existence of piecewise smooth global scattering maps is also provided.","authors_text":"Amadeu Delshams, Rodrigo G. Schaefer","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2017-09-29T18:52:50Z","title":"Arnold diffusion for a complete family of perturbations with two independent harmonics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.00029","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":"sha256:11aa01032254a6cf7d423230536d6d3f0e432f8bb571146e402cc4633798caf1","target":"record","created_at":"2026-05-18T00:17:54Z","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":"2b3630c3207584487ff1340c0e96a4dad8f4924fe11e24863f2106ca3c55576f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2017-09-29T18:52:50Z","title_canon_sha256":"674fce780a685349166893fbe0e7f871604fb62fc3e34924d9dd1721462ab1b6"},"schema_version":"1.0","source":{"id":"1710.00029","kind":"arxiv","version":2}},"canonical_sha256":"beb499253b166b9c9e5030a59b390f1b2416a2228e7729a41797dcc1a2e9d562","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"beb499253b166b9c9e5030a59b390f1b2416a2228e7729a41797dcc1a2e9d562","first_computed_at":"2026-05-18T00:17:54.377836Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:17:54.377836Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"s9CAYuKGwWp1cbZ4sLFMWAz6JflE3gYQh1w6fJ76yxKl7LGl+Svc7DdOz9dNAdVKUgtaIfdX8AZ6v/1OQVDfAg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:17:54.378324Z","signed_message":"canonical_sha256_bytes"},"source_id":"1710.00029","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:11aa01032254a6cf7d423230536d6d3f0e432f8bb571146e402cc4633798caf1","sha256:2a9257cd5e03ba83d0443b7014827f57fb74363405e3887793a4a9d7d14f1f2b"],"state_sha256":"0fce8113202dd1b37746987660d5e8b99d274873bde4f1afc7d8d5844bd802f4"}