{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:CI7E2HAFWMJNMTAH6CLY5PBRRR","short_pith_number":"pith:CI7E2HAF","canonical_record":{"source":{"id":"1905.12994","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.AO","submitted_at":"2019-05-30T12:17:05Z","cross_cats_sorted":[],"title_canon_sha256":"fe535ef5d0d1188b139f6fb5a84816f33266c3cc5275cc65224eb1925b0195c4","abstract_canon_sha256":"ac1abd3be3c357c47e988402d8cd6e458f9479642c3c31721918457b61a2b177"},"schema_version":"1.0"},"canonical_sha256":"123e4d1c05b312d64c07f0978ebc318c4908055fb8b46806e549599662b68a9b","source":{"kind":"arxiv","id":"1905.12994","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1905.12994","created_at":"2026-05-17T23:44:39Z"},{"alias_kind":"arxiv_version","alias_value":"1905.12994v1","created_at":"2026-05-17T23:44:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1905.12994","created_at":"2026-05-17T23:44:39Z"},{"alias_kind":"pith_short_12","alias_value":"CI7E2HAFWMJN","created_at":"2026-05-18T12:33:12Z"},{"alias_kind":"pith_short_16","alias_value":"CI7E2HAFWMJNMTAH","created_at":"2026-05-18T12:33:12Z"},{"alias_kind":"pith_short_8","alias_value":"CI7E2HAF","created_at":"2026-05-18T12:33:12Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:CI7E2HAFWMJNMTAH6CLY5PBRRR","target":"record","payload":{"canonical_record":{"source":{"id":"1905.12994","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.AO","submitted_at":"2019-05-30T12:17:05Z","cross_cats_sorted":[],"title_canon_sha256":"fe535ef5d0d1188b139f6fb5a84816f33266c3cc5275cc65224eb1925b0195c4","abstract_canon_sha256":"ac1abd3be3c357c47e988402d8cd6e458f9479642c3c31721918457b61a2b177"},"schema_version":"1.0"},"canonical_sha256":"123e4d1c05b312d64c07f0978ebc318c4908055fb8b46806e549599662b68a9b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:44:39.182300Z","signature_b64":"Yz8Gforhv/fX3c9w5msdCA42m7kmu6Vqq9p25S9ctlCwCbWOIzdhdrNz2KT5nuq9+vmK5/D3vWfbSlj2CrPSBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"123e4d1c05b312d64c07f0978ebc318c4908055fb8b46806e549599662b68a9b","last_reissued_at":"2026-05-17T23:44:39.181809Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:44:39.181809Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1905.12994","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":"2026-05-17T23:44:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WwHUESeolX9bVjPjBvCJ+I07AVCEtMO1WXBe04rGiRXMcUSkSnlfJ46ARR1eO9Q2Wo2lkS8lM9ECwbLqNfLTCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T12:44:18.732409Z"},"content_sha256":"382a58319059f5cec5e4295f185a8f6c5539208496771b6a0f6c2dc8fcbf7f92","schema_version":"1.0","event_id":"sha256:382a58319059f5cec5e4295f185a8f6c5539208496771b6a0f6c2dc8fcbf7f92"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:CI7E2HAFWMJNMTAH6CLY5PBRRR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Colored noise in oscillators. Phase-amplitude analysis and a method to avoid the Ito-Stratonovich dilemma","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.AO","authors_text":"Fabio Traversa, Fabrizio Bonani, Michele Bonnin","submitted_at":"2019-05-30T12:17:05Z","abstract_excerpt":"We investigate the effect of time-correlated noise on the phase fluctuations of nonlinear oscillators. The analysis is based on a methodology that transforms a system subject to colored noise, modeled as an Ornstein-Uhlenbeck process, into an equivalent system subject to white Gaussian noise. A description in terms of phase and amplitude deviation is given for the transformed system. Using stochastic averaging technique, the equations are reduced to a phase model that can be analyzed to characterize phase noise. We find that phase noise is a drift-diffusion process, with a noise-induced freque"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1905.12994","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":"2026-05-17T23:44:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7ouoK0667OpNEscAN+gFOzp3KINZqjpxMOt9iCoXYK3vby+B3DGU2zQuvLbZQx4gv72ac0uH6+PzBNf9uVopAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T12:44:18.732763Z"},"content_sha256":"106915bc34cf2f88e81b739024387709dc271a9ade957493935a9f14edf3e73b","schema_version":"1.0","event_id":"sha256:106915bc34cf2f88e81b739024387709dc271a9ade957493935a9f14edf3e73b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CI7E2HAFWMJNMTAH6CLY5PBRRR/bundle.json","state_url":"https://pith.science/pith/CI7E2HAFWMJNMTAH6CLY5PBRRR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CI7E2HAFWMJNMTAH6CLY5PBRRR/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":"2026-06-03T12:44:18Z","links":{"resolver":"https://pith.science/pith/CI7E2HAFWMJNMTAH6CLY5PBRRR","bundle":"https://pith.science/pith/CI7E2HAFWMJNMTAH6CLY5PBRRR/bundle.json","state":"https://pith.science/pith/CI7E2HAFWMJNMTAH6CLY5PBRRR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CI7E2HAFWMJNMTAH6CLY5PBRRR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:CI7E2HAFWMJNMTAH6CLY5PBRRR","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":"ac1abd3be3c357c47e988402d8cd6e458f9479642c3c31721918457b61a2b177","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.AO","submitted_at":"2019-05-30T12:17:05Z","title_canon_sha256":"fe535ef5d0d1188b139f6fb5a84816f33266c3cc5275cc65224eb1925b0195c4"},"schema_version":"1.0","source":{"id":"1905.12994","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1905.12994","created_at":"2026-05-17T23:44:39Z"},{"alias_kind":"arxiv_version","alias_value":"1905.12994v1","created_at":"2026-05-17T23:44:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1905.12994","created_at":"2026-05-17T23:44:39Z"},{"alias_kind":"pith_short_12","alias_value":"CI7E2HAFWMJN","created_at":"2026-05-18T12:33:12Z"},{"alias_kind":"pith_short_16","alias_value":"CI7E2HAFWMJNMTAH","created_at":"2026-05-18T12:33:12Z"},{"alias_kind":"pith_short_8","alias_value":"CI7E2HAF","created_at":"2026-05-18T12:33:12Z"}],"graph_snapshots":[{"event_id":"sha256:106915bc34cf2f88e81b739024387709dc271a9ade957493935a9f14edf3e73b","target":"graph","created_at":"2026-05-17T23:44:39Z","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 effect of time-correlated noise on the phase fluctuations of nonlinear oscillators. The analysis is based on a methodology that transforms a system subject to colored noise, modeled as an Ornstein-Uhlenbeck process, into an equivalent system subject to white Gaussian noise. A description in terms of phase and amplitude deviation is given for the transformed system. Using stochastic averaging technique, the equations are reduced to a phase model that can be analyzed to characterize phase noise. We find that phase noise is a drift-diffusion process, with a noise-induced freque","authors_text":"Fabio Traversa, Fabrizio Bonani, Michele Bonnin","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.AO","submitted_at":"2019-05-30T12:17:05Z","title":"Colored noise in oscillators. Phase-amplitude analysis and a method to avoid the Ito-Stratonovich dilemma"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1905.12994","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":"sha256:382a58319059f5cec5e4295f185a8f6c5539208496771b6a0f6c2dc8fcbf7f92","target":"record","created_at":"2026-05-17T23:44:39Z","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":"ac1abd3be3c357c47e988402d8cd6e458f9479642c3c31721918457b61a2b177","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.AO","submitted_at":"2019-05-30T12:17:05Z","title_canon_sha256":"fe535ef5d0d1188b139f6fb5a84816f33266c3cc5275cc65224eb1925b0195c4"},"schema_version":"1.0","source":{"id":"1905.12994","kind":"arxiv","version":1}},"canonical_sha256":"123e4d1c05b312d64c07f0978ebc318c4908055fb8b46806e549599662b68a9b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"123e4d1c05b312d64c07f0978ebc318c4908055fb8b46806e549599662b68a9b","first_computed_at":"2026-05-17T23:44:39.181809Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:44:39.181809Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Yz8Gforhv/fX3c9w5msdCA42m7kmu6Vqq9p25S9ctlCwCbWOIzdhdrNz2KT5nuq9+vmK5/D3vWfbSlj2CrPSBQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:44:39.182300Z","signed_message":"canonical_sha256_bytes"},"source_id":"1905.12994","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:382a58319059f5cec5e4295f185a8f6c5539208496771b6a0f6c2dc8fcbf7f92","sha256:106915bc34cf2f88e81b739024387709dc271a9ade957493935a9f14edf3e73b"],"state_sha256":"84f31d4c15cdc62884933e5becc963d77e536baa0cc6c2ee3f17aed76ccf9ca1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Id6TREVVxdyo9Jwh/8sOSniCH7NVQ6XFUjMgAM4SLBNi2+Fj0+N0hSXq6GAe7xRYREq13NZJywKtQ0oshgKiCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T12:44:18.734711Z","bundle_sha256":"47593bd15427b7813579f023aa7fa42c7699555777eea813b8952ee221c79840"}}