{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:2POADMJ3EOGSUI5K352S6NTBEL","short_pith_number":"pith:2POADMJ3","schema_version":"1.0","canonical_sha256":"d3dc01b13b238d2a23aadf752f366122eaf1b4d3d6d181bf561f3c6893543a5b","source":{"kind":"arxiv","id":"1106.3425","version":1},"attestation_state":"computed","paper":{"title":"Optimal phase response curves for stochastic synchronization of limit-cycle oscillators by common Poisson noise","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.AO","authors_text":"Hiroya Nakao, Kensuke Arai, Roberto F. Gal\\'an, Shigefumi Hata","submitted_at":"2011-06-17T09:37:41Z","abstract_excerpt":"We consider optimization of phase response curves for stochastic synchronization of non-interacting limit-cycle oscillators by common Poisson impulsive signals. The optimal functional shape for sufficiently weak signals is sinusoidal, but can differ for stronger signals. By solving the Euler-Lagrange equation associated with the minimization of the Lyapunov exponent characterizing synchronization efficiency, the optimal phase response curve is obtained. We show that the optimal shape mutates from a sinusoid to a sawtooth as the constraint on its squared amplitude is varied."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1106.3425","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.AO","submitted_at":"2011-06-17T09:37:41Z","cross_cats_sorted":[],"title_canon_sha256":"7b2dfb0cdf7d0f2af34e8b3180d384c738d66995ceda9f1395c6c82dfa39ee51","abstract_canon_sha256":"fbb97a6bf0aeb55ae0a7999bf3314c91cedf37f45b8d86279d0e9ab3ebc39de8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:01:35.816143Z","signature_b64":"QWxIkhYY5aFisH5Sdi4AMTbXbiv6sMZNunWBqcIOyDjRoc4QimHy9KEo6v5TGCKGhso3bk+Zcub6Bt8+ab2cDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d3dc01b13b238d2a23aadf752f366122eaf1b4d3d6d181bf561f3c6893543a5b","last_reissued_at":"2026-05-18T02:01:35.815494Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:01:35.815494Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Optimal phase response curves for stochastic synchronization of limit-cycle oscillators by common Poisson noise","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.AO","authors_text":"Hiroya Nakao, Kensuke Arai, Roberto F. Gal\\'an, Shigefumi Hata","submitted_at":"2011-06-17T09:37:41Z","abstract_excerpt":"We consider optimization of phase response curves for stochastic synchronization of non-interacting limit-cycle oscillators by common Poisson impulsive signals. The optimal functional shape for sufficiently weak signals is sinusoidal, but can differ for stronger signals. By solving the Euler-Lagrange equation associated with the minimization of the Lyapunov exponent characterizing synchronization efficiency, the optimal phase response curve is obtained. We show that the optimal shape mutates from a sinusoid to a sawtooth as the constraint on its squared amplitude is varied."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1106.3425","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1106.3425","created_at":"2026-05-18T02:01:35.815618+00:00"},{"alias_kind":"arxiv_version","alias_value":"1106.3425v1","created_at":"2026-05-18T02:01:35.815618+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1106.3425","created_at":"2026-05-18T02:01:35.815618+00:00"},{"alias_kind":"pith_short_12","alias_value":"2POADMJ3EOGS","created_at":"2026-05-18T12:26:18.847500+00:00"},{"alias_kind":"pith_short_16","alias_value":"2POADMJ3EOGSUI5K","created_at":"2026-05-18T12:26:18.847500+00:00"},{"alias_kind":"pith_short_8","alias_value":"2POADMJ3","created_at":"2026-05-18T12:26:18.847500+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/2POADMJ3EOGSUI5K352S6NTBEL","json":"https://pith.science/pith/2POADMJ3EOGSUI5K352S6NTBEL.json","graph_json":"https://pith.science/api/pith-number/2POADMJ3EOGSUI5K352S6NTBEL/graph.json","events_json":"https://pith.science/api/pith-number/2POADMJ3EOGSUI5K352S6NTBEL/events.json","paper":"https://pith.science/paper/2POADMJ3"},"agent_actions":{"view_html":"https://pith.science/pith/2POADMJ3EOGSUI5K352S6NTBEL","download_json":"https://pith.science/pith/2POADMJ3EOGSUI5K352S6NTBEL.json","view_paper":"https://pith.science/paper/2POADMJ3","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1106.3425&json=true","fetch_graph":"https://pith.science/api/pith-number/2POADMJ3EOGSUI5K352S6NTBEL/graph.json","fetch_events":"https://pith.science/api/pith-number/2POADMJ3EOGSUI5K352S6NTBEL/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/2POADMJ3EOGSUI5K352S6NTBEL/action/timestamp_anchor","attest_storage":"https://pith.science/pith/2POADMJ3EOGSUI5K352S6NTBEL/action/storage_attestation","attest_author":"https://pith.science/pith/2POADMJ3EOGSUI5K352S6NTBEL/action/author_attestation","sign_citation":"https://pith.science/pith/2POADMJ3EOGSUI5K352S6NTBEL/action/citation_signature","submit_replication":"https://pith.science/pith/2POADMJ3EOGSUI5K352S6NTBEL/action/replication_record"}},"created_at":"2026-05-18T02:01:35.815618+00:00","updated_at":"2026-05-18T02:01:35.815618+00:00"}