{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2006:VJ6MHUF3ILXFBTZAAABUJGND2H","short_pith_number":"pith:VJ6MHUF3","canonical_record":{"source":{"id":"nlin/0607023","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"nlin.AO","submitted_at":"2006-07-13T01:08:52Z","cross_cats_sorted":[],"title_canon_sha256":"02ccf6027f55fb5460244802d689ed4d457fbae5836e04440eec7e2696cc11be","abstract_canon_sha256":"defbb83bcbe1f577e204162bcc6fac7e87533dda440d3ca06bf2a3d8c91cd387"},"schema_version":"1.0"},"canonical_sha256":"aa7cc3d0bb42ee50cf2000034499a3d1f25b1103cbecb78ee8f3f76d2eb4e9f4","source":{"kind":"arxiv","id":"nlin/0607023","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"nlin/0607023","created_at":"2026-05-18T00:56:38Z"},{"alias_kind":"arxiv_version","alias_value":"nlin/0607023v2","created_at":"2026-05-18T00:56:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.nlin/0607023","created_at":"2026-05-18T00:56:38Z"},{"alias_kind":"pith_short_12","alias_value":"VJ6MHUF3ILXF","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_16","alias_value":"VJ6MHUF3ILXFBTZA","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_8","alias_value":"VJ6MHUF3","created_at":"2026-05-18T12:25:54Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2006:VJ6MHUF3ILXFBTZAAABUJGND2H","target":"record","payload":{"canonical_record":{"source":{"id":"nlin/0607023","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"nlin.AO","submitted_at":"2006-07-13T01:08:52Z","cross_cats_sorted":[],"title_canon_sha256":"02ccf6027f55fb5460244802d689ed4d457fbae5836e04440eec7e2696cc11be","abstract_canon_sha256":"defbb83bcbe1f577e204162bcc6fac7e87533dda440d3ca06bf2a3d8c91cd387"},"schema_version":"1.0"},"canonical_sha256":"aa7cc3d0bb42ee50cf2000034499a3d1f25b1103cbecb78ee8f3f76d2eb4e9f4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:56:38.536673Z","signature_b64":"so9ElWGp9lYEZLHTM2O9ZrEQ/PIGhQfnK5xLWtKwN7QZCNYkOWTxKxiO+bdu7Kp51bec29jvAdi6kv1tEFmdAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"aa7cc3d0bb42ee50cf2000034499a3d1f25b1103cbecb78ee8f3f76d2eb4e9f4","last_reissued_at":"2026-05-18T00:56:38.535750Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:56:38.535750Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"nlin/0607023","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:56:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0NXjFc1Rk7TWKLqSab2oktwHY8MZh2fcNdrsKn9K0IW0LNXML9XM8Fd4hQFz9b2YFINdb9GLolGQJCbVBD5+Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T12:20:29.200925Z"},"content_sha256":"6120c85012f31ba3b63dbaefe4ca5712940f7293de809072b20db4c89ad065f7","schema_version":"1.0","event_id":"sha256:6120c85012f31ba3b63dbaefe4ca5712940f7293de809072b20db4c89ad065f7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2006:VJ6MHUF3ILXFBTZAAABUJGND2H","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Controlling transitions in a Duffing oscillator by sweeping parameters in time","license":"","headline":"","cross_cats":[],"primary_cat":"nlin.AO","authors_text":"Oleg Kogan","submitted_at":"2006-07-13T01:08:52Z","abstract_excerpt":"We consider a high-$Q$ Duffing oscillator in a weakly non-linear regime with the driving frequency $\\sigma$ varying in time between $\\sigma_i$ and $\\sigma_f$ at a characteristic rate $r$. We found that the frequency sweep can cause controlled transitions between two stable states of the system. Moreover, these transitions are accomplished via a transient that lingers for a long time around the third, unstable fixed point of saddle type. We propose a simple explanation for this phenomenon and find the transient life-time to scale as $-(\\ln{|r-r_c|})/\\lambda_r$ where $r_c$ is the critical rate n"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"nlin/0607023","kind":"arxiv","version":2},"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":"2026-05-18T00:56:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EVqWp1QsFsCynfQgz4DVLJijShmj6c/rKLNWKzYTwXLzdtusDvMaFODXWrowLnEX7zDLRjo6krXm8YhdJDQFCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T12:20:29.201269Z"},"content_sha256":"b28c42701d6ea2a97ea86b9a6add6816817f93c4b4ac28f284d2e9d744afdf48","schema_version":"1.0","event_id":"sha256:b28c42701d6ea2a97ea86b9a6add6816817f93c4b4ac28f284d2e9d744afdf48"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VJ6MHUF3ILXFBTZAAABUJGND2H/bundle.json","state_url":"https://pith.science/pith/VJ6MHUF3ILXFBTZAAABUJGND2H/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VJ6MHUF3ILXFBTZAAABUJGND2H/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":"2026-06-03T12:20:29Z","links":{"resolver":"https://pith.science/pith/VJ6MHUF3ILXFBTZAAABUJGND2H","bundle":"https://pith.science/pith/VJ6MHUF3ILXFBTZAAABUJGND2H/bundle.json","state":"https://pith.science/pith/VJ6MHUF3ILXFBTZAAABUJGND2H/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VJ6MHUF3ILXFBTZAAABUJGND2H/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:VJ6MHUF3ILXFBTZAAABUJGND2H","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":"defbb83bcbe1f577e204162bcc6fac7e87533dda440d3ca06bf2a3d8c91cd387","cross_cats_sorted":[],"license":"","primary_cat":"nlin.AO","submitted_at":"2006-07-13T01:08:52Z","title_canon_sha256":"02ccf6027f55fb5460244802d689ed4d457fbae5836e04440eec7e2696cc11be"},"schema_version":"1.0","source":{"id":"nlin/0607023","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"nlin/0607023","created_at":"2026-05-18T00:56:38Z"},{"alias_kind":"arxiv_version","alias_value":"nlin/0607023v2","created_at":"2026-05-18T00:56:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.nlin/0607023","created_at":"2026-05-18T00:56:38Z"},{"alias_kind":"pith_short_12","alias_value":"VJ6MHUF3ILXF","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_16","alias_value":"VJ6MHUF3ILXFBTZA","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_8","alias_value":"VJ6MHUF3","created_at":"2026-05-18T12:25:54Z"}],"graph_snapshots":[{"event_id":"sha256:b28c42701d6ea2a97ea86b9a6add6816817f93c4b4ac28f284d2e9d744afdf48","target":"graph","created_at":"2026-05-18T00:56:38Z","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 consider a high-$Q$ Duffing oscillator in a weakly non-linear regime with the driving frequency $\\sigma$ varying in time between $\\sigma_i$ and $\\sigma_f$ at a characteristic rate $r$. We found that the frequency sweep can cause controlled transitions between two stable states of the system. Moreover, these transitions are accomplished via a transient that lingers for a long time around the third, unstable fixed point of saddle type. We propose a simple explanation for this phenomenon and find the transient life-time to scale as $-(\\ln{|r-r_c|})/\\lambda_r$ where $r_c$ is the critical rate n","authors_text":"Oleg Kogan","cross_cats":[],"headline":"","license":"","primary_cat":"nlin.AO","submitted_at":"2006-07-13T01:08:52Z","title":"Controlling transitions in a Duffing oscillator by sweeping parameters in time"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"nlin/0607023","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":"sha256:6120c85012f31ba3b63dbaefe4ca5712940f7293de809072b20db4c89ad065f7","target":"record","created_at":"2026-05-18T00:56:38Z","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":"defbb83bcbe1f577e204162bcc6fac7e87533dda440d3ca06bf2a3d8c91cd387","cross_cats_sorted":[],"license":"","primary_cat":"nlin.AO","submitted_at":"2006-07-13T01:08:52Z","title_canon_sha256":"02ccf6027f55fb5460244802d689ed4d457fbae5836e04440eec7e2696cc11be"},"schema_version":"1.0","source":{"id":"nlin/0607023","kind":"arxiv","version":2}},"canonical_sha256":"aa7cc3d0bb42ee50cf2000034499a3d1f25b1103cbecb78ee8f3f76d2eb4e9f4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"aa7cc3d0bb42ee50cf2000034499a3d1f25b1103cbecb78ee8f3f76d2eb4e9f4","first_computed_at":"2026-05-18T00:56:38.535750Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:56:38.535750Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"so9ElWGp9lYEZLHTM2O9ZrEQ/PIGhQfnK5xLWtKwN7QZCNYkOWTxKxiO+bdu7Kp51bec29jvAdi6kv1tEFmdAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:56:38.536673Z","signed_message":"canonical_sha256_bytes"},"source_id":"nlin/0607023","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6120c85012f31ba3b63dbaefe4ca5712940f7293de809072b20db4c89ad065f7","sha256:b28c42701d6ea2a97ea86b9a6add6816817f93c4b4ac28f284d2e9d744afdf48"],"state_sha256":"8eb7f98c9233b5ea17c8ee97cdc1678a02896a2860c0308ba5d3b78c0cc9df3d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"B4Zbgv9fT1RgKqUE5aaxCrMoz5xuPyJnZ+5JaqXKucRDgUHpRbJmeuOfRzDaaWqs4Kia+ew+tjg+h403Bm79DA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T12:20:29.203469Z","bundle_sha256":"feceb989f48906860ee56090d59ed5f67d287a85aa78ffb28ca374204a7bdf63"}}