{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:BUONQ53EIDGOQFBLXQVDX3TSI7","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":"7b7dc68e21de85d088862278fd663f3eeba1b53aabd8440ec4f4b0f5b1f5f1ec","cross_cats_sorted":["math-ph","math.CA","math.MP","math.SG","nlin.CD"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2012-02-10T16:54:03Z","title_canon_sha256":"6f224c19c82bc72c7b5f0981114f19b542644982020c48ab1b4bb3102459a396"},"schema_version":"1.0","source":{"id":"1202.2305","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1202.2305","created_at":"2026-05-18T04:02:36Z"},{"alias_kind":"arxiv_version","alias_value":"1202.2305v1","created_at":"2026-05-18T04:02:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1202.2305","created_at":"2026-05-18T04:02:36Z"},{"alias_kind":"pith_short_12","alias_value":"BUONQ53EIDGO","created_at":"2026-05-18T12:27:01Z"},{"alias_kind":"pith_short_16","alias_value":"BUONQ53EIDGOQFBL","created_at":"2026-05-18T12:27:01Z"},{"alias_kind":"pith_short_8","alias_value":"BUONQ53E","created_at":"2026-05-18T12:27:01Z"}],"graph_snapshots":[{"event_id":"sha256:01cc369192e15f9412f841372225d9b01e1bc64efbfaa1fe4c6cbd9036019e6d","target":"graph","created_at":"2026-05-18T04:02:36Z","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 consider a dissipative vector field which is represented by a nearly-integrable Hamiltonian flow to which a non symplectic force is added, so that the phase space volume is not preserved. The vector field depends upon two parameters, namely the perturbing and dissipative parameters, and by a drift function. We study the general case of an l-dimensional, time-dependent vector field. Assuming to start with non-resonant initial conditions, we prove the stability of the variables which are actions of the conservative system (namely, when the dissipative parameter is set to zero) for exponential","authors_text":"Alessandra Celletti, Christoph Lhotka","cross_cats":["math-ph","math.CA","math.MP","math.SG","nlin.CD"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2012-02-10T16:54:03Z","title":"Stability estimates of nearly-integrable systems with dissipation and non-resonant frequency"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1202.2305","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:b2fedd95bddd0ea5b103ffdf4bdf8460ecfa3b68f4aac7e62f10bffc28c47ce8","target":"record","created_at":"2026-05-18T04:02:36Z","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":"7b7dc68e21de85d088862278fd663f3eeba1b53aabd8440ec4f4b0f5b1f5f1ec","cross_cats_sorted":["math-ph","math.CA","math.MP","math.SG","nlin.CD"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2012-02-10T16:54:03Z","title_canon_sha256":"6f224c19c82bc72c7b5f0981114f19b542644982020c48ab1b4bb3102459a396"},"schema_version":"1.0","source":{"id":"1202.2305","kind":"arxiv","version":1}},"canonical_sha256":"0d1cd8776440cce8142bbc2a3bee7247f79e7a586db45c2aa82110223f3dda8b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0d1cd8776440cce8142bbc2a3bee7247f79e7a586db45c2aa82110223f3dda8b","first_computed_at":"2026-05-18T04:02:36.741925Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:02:36.741925Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1/LlQQMggjWY8h9PmKRhL59/yPErxS1RNW7i7qTpXna9/ixWo+jYmsOQCJoDN+Vv/v/WBhIYRYN9AkPCR49OAw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:02:36.742441Z","signed_message":"canonical_sha256_bytes"},"source_id":"1202.2305","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b2fedd95bddd0ea5b103ffdf4bdf8460ecfa3b68f4aac7e62f10bffc28c47ce8","sha256:01cc369192e15f9412f841372225d9b01e1bc64efbfaa1fe4c6cbd9036019e6d"],"state_sha256":"58094ae02b9de8ec9c19b5ee6fcce99affff25c6488aea3d5552d9b675322e6b"}