{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:5M3RFDCPKUDG3RUYH7F4PZW3NE","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":"7204416f702205de89a0b5220087c69662cb6b38b05f0c1d64f85229147ebae2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2019-01-18T02:18:11Z","title_canon_sha256":"68188e7ad50127ac1410c841c6db85650b3b62909e4bf8d662fd002cf9afd568"},"schema_version":"1.0","source":{"id":"1901.06059","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1901.06059","created_at":"2026-05-17T23:55:38Z"},{"alias_kind":"arxiv_version","alias_value":"1901.06059v2","created_at":"2026-05-17T23:55:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1901.06059","created_at":"2026-05-17T23:55:38Z"},{"alias_kind":"pith_short_12","alias_value":"5M3RFDCPKUDG","created_at":"2026-05-18T12:33:10Z"},{"alias_kind":"pith_short_16","alias_value":"5M3RFDCPKUDG3RUY","created_at":"2026-05-18T12:33:10Z"},{"alias_kind":"pith_short_8","alias_value":"5M3RFDCP","created_at":"2026-05-18T12:33:10Z"}],"graph_snapshots":[{"event_id":"sha256:147de7a8c83f21e9553206c5be728f3adf3192893309e90ccd650ef36eebd5ef","target":"graph","created_at":"2026-05-17T23:55:38Z","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 investigate the existence of whiskered tori in some dissipative systems, called \\sl conformally symplectic \\rm systems, having the property that they transform the symplectic form into a multiple of itself. We consider a family $f_\\mu$ of conformally symplectic maps which depend on a drift parameter $\\mu$.\n  We fix a Diophantine frequency of the torus and we assume to have a drift $\\mu_0$ and an embedding of the torus $K_0$, which satisfy approximately the invariance equation $f_{\\mu_0} \\circ K_0 - K_0 \\circ T_\\omega$ (where $T_\\omega$ denotes the shift by $\\omega$). We also assume to have ","authors_text":"Alessandra Celletti, Rafael de la Llave, Renato C. Calleja","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2019-01-18T02:18:11Z","title":"Whiskered KAM Tori of Conformally Symplectic Systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1901.06059","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:fb3b8feb78ec1c59e2a5c5766d53664c0c51d4107d57c4a9309f402a113ee960","target":"record","created_at":"2026-05-17T23:55:38Z","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":"7204416f702205de89a0b5220087c69662cb6b38b05f0c1d64f85229147ebae2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2019-01-18T02:18:11Z","title_canon_sha256":"68188e7ad50127ac1410c841c6db85650b3b62909e4bf8d662fd002cf9afd568"},"schema_version":"1.0","source":{"id":"1901.06059","kind":"arxiv","version":2}},"canonical_sha256":"eb37128c4f55066dc6983fcbc7e6db6923f0a107dec23f541ac3c719a2ff3130","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"eb37128c4f55066dc6983fcbc7e6db6923f0a107dec23f541ac3c719a2ff3130","first_computed_at":"2026-05-17T23:55:38.100388Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:55:38.100388Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"umCZvdHjc5acsdOd9ehFCyIbrhuikjMzRdSXOh+ZfzvX1IzAC6yI8qGUlhsaWC3UQc2kvMnYxa/jtZUpkPX6Ag==","signature_status":"signed_v1","signed_at":"2026-05-17T23:55:38.100764Z","signed_message":"canonical_sha256_bytes"},"source_id":"1901.06059","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fb3b8feb78ec1c59e2a5c5766d53664c0c51d4107d57c4a9309f402a113ee960","sha256:147de7a8c83f21e9553206c5be728f3adf3192893309e90ccd650ef36eebd5ef"],"state_sha256":"2eaa588d78178507fc0769ae38c65c16bb386416b1a33a720f4e82dae003d06a"}