{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:TFB2XSA7M4MPLHGES4ZKZBRLLH","short_pith_number":"pith:TFB2XSA7","schema_version":"1.0","canonical_sha256":"9943abc81f6718f59cc49732ac862b59df9be86dc68b9489e14df459190598ec","source":{"kind":"arxiv","id":"1505.00418","version":1},"attestation_state":"computed","paper":{"title":"Uni-directional synchronization and frequency difference locking induced by a heteroclinic ratchet","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nlin.CD"],"primary_cat":"nlin.AO","authors_text":"\\\"Ozkan Karabacak","submitted_at":"2015-05-03T10:25:54Z","abstract_excerpt":"A system of four coupled oscillators that exhibits unusual synchronization phenomena has been ana- lyzed. Existence of a one-way heteroclinic network, called heteroclinic ratchet, gives rise to uni-directional (de)synchronization between certain groups of cells. Moreover, we show that locking in frequency differ- ences occur when a small white noise is added to the dynamics of oscillators."},"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":"1505.00418","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.AO","submitted_at":"2015-05-03T10:25:54Z","cross_cats_sorted":["nlin.CD"],"title_canon_sha256":"350102f92dce19a2f3c069ac5f4eef092c86dfbe66c613c558b9544c5a91fa29","abstract_canon_sha256":"f4e49a53a6732e92b1beaaba55f6108c412bb808ab1cd7e0847f0ecd115beebd"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:17:03.128730Z","signature_b64":"/ryco4N7X24TGIc8+5BuDbKeA+hNgZy/k9F+0JSkOA9zmexUYVkOh1q/yuq+wihjfk27Y4wsLIU65y2ykD+BAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9943abc81f6718f59cc49732ac862b59df9be86dc68b9489e14df459190598ec","last_reissued_at":"2026-05-18T02:17:03.127977Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:17:03.127977Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Uni-directional synchronization and frequency difference locking induced by a heteroclinic ratchet","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nlin.CD"],"primary_cat":"nlin.AO","authors_text":"\\\"Ozkan Karabacak","submitted_at":"2015-05-03T10:25:54Z","abstract_excerpt":"A system of four coupled oscillators that exhibits unusual synchronization phenomena has been ana- lyzed. Existence of a one-way heteroclinic network, called heteroclinic ratchet, gives rise to uni-directional (de)synchronization between certain groups of cells. Moreover, we show that locking in frequency differ- ences occur when a small white noise is added to the dynamics of oscillators."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.00418","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":"1505.00418","created_at":"2026-05-18T02:17:03.128092+00:00"},{"alias_kind":"arxiv_version","alias_value":"1505.00418v1","created_at":"2026-05-18T02:17:03.128092+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.00418","created_at":"2026-05-18T02:17:03.128092+00:00"},{"alias_kind":"pith_short_12","alias_value":"TFB2XSA7M4MP","created_at":"2026-05-18T12:29:42.218222+00:00"},{"alias_kind":"pith_short_16","alias_value":"TFB2XSA7M4MPLHGE","created_at":"2026-05-18T12:29:42.218222+00:00"},{"alias_kind":"pith_short_8","alias_value":"TFB2XSA7","created_at":"2026-05-18T12:29:42.218222+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/TFB2XSA7M4MPLHGES4ZKZBRLLH","json":"https://pith.science/pith/TFB2XSA7M4MPLHGES4ZKZBRLLH.json","graph_json":"https://pith.science/api/pith-number/TFB2XSA7M4MPLHGES4ZKZBRLLH/graph.json","events_json":"https://pith.science/api/pith-number/TFB2XSA7M4MPLHGES4ZKZBRLLH/events.json","paper":"https://pith.science/paper/TFB2XSA7"},"agent_actions":{"view_html":"https://pith.science/pith/TFB2XSA7M4MPLHGES4ZKZBRLLH","download_json":"https://pith.science/pith/TFB2XSA7M4MPLHGES4ZKZBRLLH.json","view_paper":"https://pith.science/paper/TFB2XSA7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1505.00418&json=true","fetch_graph":"https://pith.science/api/pith-number/TFB2XSA7M4MPLHGES4ZKZBRLLH/graph.json","fetch_events":"https://pith.science/api/pith-number/TFB2XSA7M4MPLHGES4ZKZBRLLH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/TFB2XSA7M4MPLHGES4ZKZBRLLH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/TFB2XSA7M4MPLHGES4ZKZBRLLH/action/storage_attestation","attest_author":"https://pith.science/pith/TFB2XSA7M4MPLHGES4ZKZBRLLH/action/author_attestation","sign_citation":"https://pith.science/pith/TFB2XSA7M4MPLHGES4ZKZBRLLH/action/citation_signature","submit_replication":"https://pith.science/pith/TFB2XSA7M4MPLHGES4ZKZBRLLH/action/replication_record"}},"created_at":"2026-05-18T02:17:03.128092+00:00","updated_at":"2026-05-18T02:17:03.128092+00:00"}