{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:RHBWV4SCU73CF6UFOC2WUFGKAN","short_pith_number":"pith:RHBWV4SC","canonical_record":{"source":{"id":"0912.0133","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2009-12-01T12:08:53Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"55265f71a4926c3e99848baaa5f73c955a4720dbf8a2bbfba3c25be7ae3e6d3c","abstract_canon_sha256":"f90236febd716f0551b943e7a5be507162dbe291e4f9a59e4f2bd3c694a8392c"},"schema_version":"1.0"},"canonical_sha256":"89c36af242a7f622fa8570b56a14ca03681689e2d5bcee4103965503b163922c","source":{"kind":"arxiv","id":"0912.0133","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0912.0133","created_at":"2026-05-18T02:10:35Z"},{"alias_kind":"arxiv_version","alias_value":"0912.0133v1","created_at":"2026-05-18T02:10:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0912.0133","created_at":"2026-05-18T02:10:35Z"},{"alias_kind":"pith_short_12","alias_value":"RHBWV4SCU73C","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_16","alias_value":"RHBWV4SCU73CF6UF","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_8","alias_value":"RHBWV4SC","created_at":"2026-05-18T12:26:01Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:RHBWV4SCU73CF6UFOC2WUFGKAN","target":"record","payload":{"canonical_record":{"source":{"id":"0912.0133","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2009-12-01T12:08:53Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"55265f71a4926c3e99848baaa5f73c955a4720dbf8a2bbfba3c25be7ae3e6d3c","abstract_canon_sha256":"f90236febd716f0551b943e7a5be507162dbe291e4f9a59e4f2bd3c694a8392c"},"schema_version":"1.0"},"canonical_sha256":"89c36af242a7f622fa8570b56a14ca03681689e2d5bcee4103965503b163922c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:10:35.245924Z","signature_b64":"RXS5pw+qygse19ps+8UfgE2SzGkX2OoRNuEpQdcnErjEc7uISZLAR4oad/77W0LRlQ+J2lGtKpLhWaWtOadOAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"89c36af242a7f622fa8570b56a14ca03681689e2d5bcee4103965503b163922c","last_reissued_at":"2026-05-18T02:10:35.245187Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:10:35.245187Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0912.0133","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:10:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6punXHIikSei0oqbghwcvNwns4O4jACPgQUzJC171H6JoKpBzmgaHZoBXthPjPyg9KNLkIhaHl99rD8yYE2hBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T09:53:48.102118Z"},"content_sha256":"cb10cdb9fb96d8fdc73ce8de90bd8559ab16d80353616f02bf5eae380e0bce17","schema_version":"1.0","event_id":"sha256:cb10cdb9fb96d8fdc73ce8de90bd8559ab16d80353616f02bf5eae380e0bce17"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:RHBWV4SCU73CF6UFOC2WUFGKAN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Autoresonance in a Dissipative System","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Nikolai Tarkhanov, Oleg Kiselev, Sergei Glebov","submitted_at":"2009-12-01T12:08:53Z","abstract_excerpt":"We study the autoresonant solution of Duffing's equation in the presence of dissipation. This solution is proved to be an attracting set. We evaluate the maximal amplitude of the autoresonant solution and the time of transition from autoresonant growth of the amplitude to the mode of fast oscillations. Analytical results are illustrated by numerical simulations."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0912.0133","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:10:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZqDEmUSqzbH1o1wHM2SqJT/Bz7EK3UeRxAfmMux5+x3flAVFI+BlMwm0D1zf4Zs+UacHjCQDKdKx7FiEVwZ9Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T09:53:48.102475Z"},"content_sha256":"df0c5276bb11f19e1ee20fec73701ced6580ab52018dcd64ffae28332a333e29","schema_version":"1.0","event_id":"sha256:df0c5276bb11f19e1ee20fec73701ced6580ab52018dcd64ffae28332a333e29"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RHBWV4SCU73CF6UFOC2WUFGKAN/bundle.json","state_url":"https://pith.science/pith/RHBWV4SCU73CF6UFOC2WUFGKAN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RHBWV4SCU73CF6UFOC2WUFGKAN/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-22T09:53:48Z","links":{"resolver":"https://pith.science/pith/RHBWV4SCU73CF6UFOC2WUFGKAN","bundle":"https://pith.science/pith/RHBWV4SCU73CF6UFOC2WUFGKAN/bundle.json","state":"https://pith.science/pith/RHBWV4SCU73CF6UFOC2WUFGKAN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RHBWV4SCU73CF6UFOC2WUFGKAN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:RHBWV4SCU73CF6UFOC2WUFGKAN","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":"f90236febd716f0551b943e7a5be507162dbe291e4f9a59e4f2bd3c694a8392c","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2009-12-01T12:08:53Z","title_canon_sha256":"55265f71a4926c3e99848baaa5f73c955a4720dbf8a2bbfba3c25be7ae3e6d3c"},"schema_version":"1.0","source":{"id":"0912.0133","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0912.0133","created_at":"2026-05-18T02:10:35Z"},{"alias_kind":"arxiv_version","alias_value":"0912.0133v1","created_at":"2026-05-18T02:10:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0912.0133","created_at":"2026-05-18T02:10:35Z"},{"alias_kind":"pith_short_12","alias_value":"RHBWV4SCU73C","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_16","alias_value":"RHBWV4SCU73CF6UF","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_8","alias_value":"RHBWV4SC","created_at":"2026-05-18T12:26:01Z"}],"graph_snapshots":[{"event_id":"sha256:df0c5276bb11f19e1ee20fec73701ced6580ab52018dcd64ffae28332a333e29","target":"graph","created_at":"2026-05-18T02:10:35Z","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 autoresonant solution of Duffing's equation in the presence of dissipation. This solution is proved to be an attracting set. We evaluate the maximal amplitude of the autoresonant solution and the time of transition from autoresonant growth of the amplitude to the mode of fast oscillations. Analytical results are illustrated by numerical simulations.","authors_text":"Nikolai Tarkhanov, Oleg Kiselev, Sergei Glebov","cross_cats":["math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2009-12-01T12:08:53Z","title":"Autoresonance in a Dissipative System"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0912.0133","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:cb10cdb9fb96d8fdc73ce8de90bd8559ab16d80353616f02bf5eae380e0bce17","target":"record","created_at":"2026-05-18T02:10:35Z","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":"f90236febd716f0551b943e7a5be507162dbe291e4f9a59e4f2bd3c694a8392c","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2009-12-01T12:08:53Z","title_canon_sha256":"55265f71a4926c3e99848baaa5f73c955a4720dbf8a2bbfba3c25be7ae3e6d3c"},"schema_version":"1.0","source":{"id":"0912.0133","kind":"arxiv","version":1}},"canonical_sha256":"89c36af242a7f622fa8570b56a14ca03681689e2d5bcee4103965503b163922c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"89c36af242a7f622fa8570b56a14ca03681689e2d5bcee4103965503b163922c","first_computed_at":"2026-05-18T02:10:35.245187Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:10:35.245187Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"RXS5pw+qygse19ps+8UfgE2SzGkX2OoRNuEpQdcnErjEc7uISZLAR4oad/77W0LRlQ+J2lGtKpLhWaWtOadOAg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:10:35.245924Z","signed_message":"canonical_sha256_bytes"},"source_id":"0912.0133","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cb10cdb9fb96d8fdc73ce8de90bd8559ab16d80353616f02bf5eae380e0bce17","sha256:df0c5276bb11f19e1ee20fec73701ced6580ab52018dcd64ffae28332a333e29"],"state_sha256":"28e550a25952198b63a0a36260f49039d651cc9d7505c91496e8ff72f328a6dd"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Hdm1gOBKwkEcd5jhXBvi66zCTiN3zx+U0C32cZ9h1z5+sPA4lFA4c+IvE9Hh98uqY2TrUrfC1KPOzYnJWXfGDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-22T09:53:48.104436Z","bundle_sha256":"3c7c23cfb4cb64b45a8ccc709e3145378e18dc1a271b622026dead1976200d8f"}}