{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:UT4J7WVF7BUDDHMYO2VGM7JJ3Z","short_pith_number":"pith:UT4J7WVF","canonical_record":{"source":{"id":"1002.0459","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2010-02-02T13:16:38Z","cross_cats_sorted":[],"title_canon_sha256":"ac1563872bfec4b9ae6a1a8f60a46d66c23f88c1658be7f4420a30208477c824","abstract_canon_sha256":"5afd4401acd7ebb3b7ad325d1a6d1496e3cb886d54208ebece8e4c2e9cfd5ca6"},"schema_version":"1.0"},"canonical_sha256":"a4f89fdaa5f868319d9876aa667d29de5d12f43d1cb82e8bc52ccf9aa2c1500b","source":{"kind":"arxiv","id":"1002.0459","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1002.0459","created_at":"2026-05-18T04:40:00Z"},{"alias_kind":"arxiv_version","alias_value":"1002.0459v2","created_at":"2026-05-18T04:40:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1002.0459","created_at":"2026-05-18T04:40:00Z"},{"alias_kind":"pith_short_12","alias_value":"UT4J7WVF7BUD","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_16","alias_value":"UT4J7WVF7BUDDHMY","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_8","alias_value":"UT4J7WVF","created_at":"2026-05-18T12:26:15Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:UT4J7WVF7BUDDHMYO2VGM7JJ3Z","target":"record","payload":{"canonical_record":{"source":{"id":"1002.0459","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2010-02-02T13:16:38Z","cross_cats_sorted":[],"title_canon_sha256":"ac1563872bfec4b9ae6a1a8f60a46d66c23f88c1658be7f4420a30208477c824","abstract_canon_sha256":"5afd4401acd7ebb3b7ad325d1a6d1496e3cb886d54208ebece8e4c2e9cfd5ca6"},"schema_version":"1.0"},"canonical_sha256":"a4f89fdaa5f868319d9876aa667d29de5d12f43d1cb82e8bc52ccf9aa2c1500b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:40:00.657408Z","signature_b64":"LPFAE/6xnyUdawEZ05XxxAgKkk4H26uJ7fW2UTGKskkDP5rY2Hzer8MEcMVD1NEenODTdCnxmP37jS6wvznXBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a4f89fdaa5f868319d9876aa667d29de5d12f43d1cb82e8bc52ccf9aa2c1500b","last_reissued_at":"2026-05-18T04:40:00.656928Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:40:00.656928Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1002.0459","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":"2026-05-18T04:40:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aPwRSeGPAI0GEjIJqNrnjiV9qHYLF+ohyq4ytlKi8hOb0ydawkfL+CTXX8NjjZopGclmZoy4gAAlAzXufXv8Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T17:32:22.164016Z"},"content_sha256":"b79ec80713878ade40531a213df6bff2d0875217e24a3e6b2932033c8ff811c6","schema_version":"1.0","event_id":"sha256:b79ec80713878ade40531a213df6bff2d0875217e24a3e6b2932033c8ff811c6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:UT4J7WVF7BUDDHMYO2VGM7JJ3Z","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Effective phase dynamics of noise-induced oscillations in excitable systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.CD","authors_text":"Arkady Pikovsky, Justus T. C. Schwabedal","submitted_at":"2010-02-02T13:16:38Z","abstract_excerpt":"We develop an effective description of noise-induced oscillations based on deterministic phase dynamics. The phase equation is constructed to exhibit correct frequency and distribution density of noise-induced oscillations. In the simplest one-dimensional case the effective phase equation is obtained analytically, whereas for more complex situations a simple method of data processing is suggested. As an application an effective coupling function is constructed that quantitatively describes periodically forced noise-induced oscillations."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1002.0459","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":"2026-05-18T04:40:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3RRzj+vFI/fL3eBiLesHWxRoQBd5EvbY+d3UzocsDThkBKf2ZvfbqpZW73PpvLOpHrVSFxkmcMXqdlfLojpNCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T17:32:22.164755Z"},"content_sha256":"fc1de59fdd00f25136a500d043b24f8b8fd71a962ec9b6caa75b0eea532ea3e7","schema_version":"1.0","event_id":"sha256:fc1de59fdd00f25136a500d043b24f8b8fd71a962ec9b6caa75b0eea532ea3e7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UT4J7WVF7BUDDHMYO2VGM7JJ3Z/bundle.json","state_url":"https://pith.science/pith/UT4J7WVF7BUDDHMYO2VGM7JJ3Z/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UT4J7WVF7BUDDHMYO2VGM7JJ3Z/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":"2026-05-25T17:32:22Z","links":{"resolver":"https://pith.science/pith/UT4J7WVF7BUDDHMYO2VGM7JJ3Z","bundle":"https://pith.science/pith/UT4J7WVF7BUDDHMYO2VGM7JJ3Z/bundle.json","state":"https://pith.science/pith/UT4J7WVF7BUDDHMYO2VGM7JJ3Z/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UT4J7WVF7BUDDHMYO2VGM7JJ3Z/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:UT4J7WVF7BUDDHMYO2VGM7JJ3Z","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":"5afd4401acd7ebb3b7ad325d1a6d1496e3cb886d54208ebece8e4c2e9cfd5ca6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2010-02-02T13:16:38Z","title_canon_sha256":"ac1563872bfec4b9ae6a1a8f60a46d66c23f88c1658be7f4420a30208477c824"},"schema_version":"1.0","source":{"id":"1002.0459","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1002.0459","created_at":"2026-05-18T04:40:00Z"},{"alias_kind":"arxiv_version","alias_value":"1002.0459v2","created_at":"2026-05-18T04:40:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1002.0459","created_at":"2026-05-18T04:40:00Z"},{"alias_kind":"pith_short_12","alias_value":"UT4J7WVF7BUD","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_16","alias_value":"UT4J7WVF7BUDDHMY","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_8","alias_value":"UT4J7WVF","created_at":"2026-05-18T12:26:15Z"}],"graph_snapshots":[{"event_id":"sha256:fc1de59fdd00f25136a500d043b24f8b8fd71a962ec9b6caa75b0eea532ea3e7","target":"graph","created_at":"2026-05-18T04:40:00Z","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 develop an effective description of noise-induced oscillations based on deterministic phase dynamics. The phase equation is constructed to exhibit correct frequency and distribution density of noise-induced oscillations. In the simplest one-dimensional case the effective phase equation is obtained analytically, whereas for more complex situations a simple method of data processing is suggested. As an application an effective coupling function is constructed that quantitatively describes periodically forced noise-induced oscillations.","authors_text":"Arkady Pikovsky, Justus T. C. Schwabedal","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2010-02-02T13:16:38Z","title":"Effective phase dynamics of noise-induced oscillations in excitable systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1002.0459","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:b79ec80713878ade40531a213df6bff2d0875217e24a3e6b2932033c8ff811c6","target":"record","created_at":"2026-05-18T04:40:00Z","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":"5afd4401acd7ebb3b7ad325d1a6d1496e3cb886d54208ebece8e4c2e9cfd5ca6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2010-02-02T13:16:38Z","title_canon_sha256":"ac1563872bfec4b9ae6a1a8f60a46d66c23f88c1658be7f4420a30208477c824"},"schema_version":"1.0","source":{"id":"1002.0459","kind":"arxiv","version":2}},"canonical_sha256":"a4f89fdaa5f868319d9876aa667d29de5d12f43d1cb82e8bc52ccf9aa2c1500b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a4f89fdaa5f868319d9876aa667d29de5d12f43d1cb82e8bc52ccf9aa2c1500b","first_computed_at":"2026-05-18T04:40:00.656928Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:40:00.656928Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LPFAE/6xnyUdawEZ05XxxAgKkk4H26uJ7fW2UTGKskkDP5rY2Hzer8MEcMVD1NEenODTdCnxmP37jS6wvznXBw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:40:00.657408Z","signed_message":"canonical_sha256_bytes"},"source_id":"1002.0459","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b79ec80713878ade40531a213df6bff2d0875217e24a3e6b2932033c8ff811c6","sha256:fc1de59fdd00f25136a500d043b24f8b8fd71a962ec9b6caa75b0eea532ea3e7"],"state_sha256":"a36b2649a6e22beb83fb4f96f9b9e74ede8b25fbced5320d4762de28c6788012"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"s2xMFk5DhEmlk/Ot+E0FpKEvC7oL6A3pBcyNaPlkSZPnV94XPGkqRnmXGdaCECr9pEI+92Jx+rVaa7rSH559Cw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T17:32:22.169031Z","bundle_sha256":"163a7fa43b2add78d4ec109d6516df47b841c57a4b884c20c737ae82f39dd686"}}