{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:63W5WHSQUTONZMVFPYWWIV2UPG","short_pith_number":"pith:63W5WHSQ","schema_version":"1.0","canonical_sha256":"f6eddb1e50a4dcdcb2a57e2d64575479bc190d4d26afd08227d50d021765b40c","source":{"kind":"arxiv","id":"1504.01376","version":1},"attestation_state":"computed","paper":{"title":"Comment on \"Asymptotic Phase for Stochastic Oscillators\"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.CD","authors_text":"Benjamin Lindner, Peter J. Thomas","submitted_at":"2015-04-06T02:17:47Z","abstract_excerpt":"In his Comment [arXiv:1501.02126 (2015)] on our recent paper [Phys. Rev. Lett., v. 113, 254101 (2014)], Pikovsky compares two methods for defining the \"phase\" of a stochastic oscillator. We reply to his Comment by showing that neither method can unambiguously identify a unique system of isochrons, when multiple oscillations coexist in the same system."},"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":"1504.01376","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2015-04-06T02:17:47Z","cross_cats_sorted":[],"title_canon_sha256":"04f309971d35436d5ba77c3359237924364ffdee928fd8111a08320c1861668d","abstract_canon_sha256":"2ff2a45dc862935e1718e835c585a3623fd887a0526d9906ff084280e784125d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:19:27.365732Z","signature_b64":"VvtCPTiGMsTD8cQLzE9w4ZdoOpx7pg7qka18OzKicadB19q1JmB2BzebVL56IhzEYV1q2fJWF27MPjFXu2eFBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f6eddb1e50a4dcdcb2a57e2d64575479bc190d4d26afd08227d50d021765b40c","last_reissued_at":"2026-05-18T02:19:27.364967Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:19:27.364967Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Comment on \"Asymptotic Phase for Stochastic Oscillators\"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.CD","authors_text":"Benjamin Lindner, Peter J. Thomas","submitted_at":"2015-04-06T02:17:47Z","abstract_excerpt":"In his Comment [arXiv:1501.02126 (2015)] on our recent paper [Phys. Rev. Lett., v. 113, 254101 (2014)], Pikovsky compares two methods for defining the \"phase\" of a stochastic oscillator. We reply to his Comment by showing that neither method can unambiguously identify a unique system of isochrons, when multiple oscillations coexist in the same system."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.01376","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":"1504.01376","created_at":"2026-05-18T02:19:27.365073+00:00"},{"alias_kind":"arxiv_version","alias_value":"1504.01376v1","created_at":"2026-05-18T02:19:27.365073+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.01376","created_at":"2026-05-18T02:19:27.365073+00:00"},{"alias_kind":"pith_short_12","alias_value":"63W5WHSQUTON","created_at":"2026-05-18T12:29:07.941421+00:00"},{"alias_kind":"pith_short_16","alias_value":"63W5WHSQUTONZMVF","created_at":"2026-05-18T12:29:07.941421+00:00"},{"alias_kind":"pith_short_8","alias_value":"63W5WHSQ","created_at":"2026-05-18T12:29:07.941421+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/63W5WHSQUTONZMVFPYWWIV2UPG","json":"https://pith.science/pith/63W5WHSQUTONZMVFPYWWIV2UPG.json","graph_json":"https://pith.science/api/pith-number/63W5WHSQUTONZMVFPYWWIV2UPG/graph.json","events_json":"https://pith.science/api/pith-number/63W5WHSQUTONZMVFPYWWIV2UPG/events.json","paper":"https://pith.science/paper/63W5WHSQ"},"agent_actions":{"view_html":"https://pith.science/pith/63W5WHSQUTONZMVFPYWWIV2UPG","download_json":"https://pith.science/pith/63W5WHSQUTONZMVFPYWWIV2UPG.json","view_paper":"https://pith.science/paper/63W5WHSQ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1504.01376&json=true","fetch_graph":"https://pith.science/api/pith-number/63W5WHSQUTONZMVFPYWWIV2UPG/graph.json","fetch_events":"https://pith.science/api/pith-number/63W5WHSQUTONZMVFPYWWIV2UPG/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/63W5WHSQUTONZMVFPYWWIV2UPG/action/timestamp_anchor","attest_storage":"https://pith.science/pith/63W5WHSQUTONZMVFPYWWIV2UPG/action/storage_attestation","attest_author":"https://pith.science/pith/63W5WHSQUTONZMVFPYWWIV2UPG/action/author_attestation","sign_citation":"https://pith.science/pith/63W5WHSQUTONZMVFPYWWIV2UPG/action/citation_signature","submit_replication":"https://pith.science/pith/63W5WHSQUTONZMVFPYWWIV2UPG/action/replication_record"}},"created_at":"2026-05-18T02:19:27.365073+00:00","updated_at":"2026-05-18T02:19:27.365073+00:00"}