{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:QHEBC5BMP3HZ4SO5GDY5PB7CO5","short_pith_number":"pith:QHEBC5BM","schema_version":"1.0","canonical_sha256":"81c811742c7ecf9e49dd30f1d787e277402b19c0aea54b6924fd0123c3a964a6","source":{"kind":"arxiv","id":"1807.10824","version":1},"attestation_state":"computed","paper":{"title":"Mixed mode oscillations and phase locking in coupled FitzHugh-Nagumo model neurons","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Biswadip Dey, Elizabeth N. Davison, Naomi Ehrich Leonard, Zahra Aminzare","submitted_at":"2018-07-27T20:16:45Z","abstract_excerpt":"We study the dynamics of a low-dimensional system of coupled model neurons as a step towards understanding the vastly complex network of neurons in the brain. We analyze the bifurcation structure of a system of two model neurons with unidirectional coupling as a function of two physiologically relevant parameters: the external current input only to the first neuron and the strength of the coupling from the first to the second neuron. Leveraging a timescale separation, we prove necessary conditions for multiple timescale phenomena observed in the coupled system, including canard solutions and m"},"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":"1807.10824","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2018-07-27T20:16:45Z","cross_cats_sorted":[],"title_canon_sha256":"67f1de2b1724f0a34a2467485c496cfa1e9708a49693efb2b8fda1ebf6015bdc","abstract_canon_sha256":"9a759359f2db5f9f6192ed166bb44cad80e34c99d5e84faa5c8f577804a0ee5f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:50:12.990138Z","signature_b64":"4j+mmjaIHfgRBVgCPy3BV3b3FhfN8T2bqft17mVcssLsAmvomdZQ7hriVp8C20SzzxPDnp6Ok/wZTKAnKzPNCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"81c811742c7ecf9e49dd30f1d787e277402b19c0aea54b6924fd0123c3a964a6","last_reissued_at":"2026-05-17T23:50:12.989532Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:50:12.989532Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Mixed mode oscillations and phase locking in coupled FitzHugh-Nagumo model neurons","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Biswadip Dey, Elizabeth N. Davison, Naomi Ehrich Leonard, Zahra Aminzare","submitted_at":"2018-07-27T20:16:45Z","abstract_excerpt":"We study the dynamics of a low-dimensional system of coupled model neurons as a step towards understanding the vastly complex network of neurons in the brain. We analyze the bifurcation structure of a system of two model neurons with unidirectional coupling as a function of two physiologically relevant parameters: the external current input only to the first neuron and the strength of the coupling from the first to the second neuron. Leveraging a timescale separation, we prove necessary conditions for multiple timescale phenomena observed in the coupled system, including canard solutions and m"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.10824","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":"1807.10824","created_at":"2026-05-17T23:50:12.989616+00:00"},{"alias_kind":"arxiv_version","alias_value":"1807.10824v1","created_at":"2026-05-17T23:50:12.989616+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.10824","created_at":"2026-05-17T23:50:12.989616+00:00"},{"alias_kind":"pith_short_12","alias_value":"QHEBC5BMP3HZ","created_at":"2026-05-18T12:32:46.962924+00:00"},{"alias_kind":"pith_short_16","alias_value":"QHEBC5BMP3HZ4SO5","created_at":"2026-05-18T12:32:46.962924+00:00"},{"alias_kind":"pith_short_8","alias_value":"QHEBC5BM","created_at":"2026-05-18T12:32:46.962924+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/QHEBC5BMP3HZ4SO5GDY5PB7CO5","json":"https://pith.science/pith/QHEBC5BMP3HZ4SO5GDY5PB7CO5.json","graph_json":"https://pith.science/api/pith-number/QHEBC5BMP3HZ4SO5GDY5PB7CO5/graph.json","events_json":"https://pith.science/api/pith-number/QHEBC5BMP3HZ4SO5GDY5PB7CO5/events.json","paper":"https://pith.science/paper/QHEBC5BM"},"agent_actions":{"view_html":"https://pith.science/pith/QHEBC5BMP3HZ4SO5GDY5PB7CO5","download_json":"https://pith.science/pith/QHEBC5BMP3HZ4SO5GDY5PB7CO5.json","view_paper":"https://pith.science/paper/QHEBC5BM","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1807.10824&json=true","fetch_graph":"https://pith.science/api/pith-number/QHEBC5BMP3HZ4SO5GDY5PB7CO5/graph.json","fetch_events":"https://pith.science/api/pith-number/QHEBC5BMP3HZ4SO5GDY5PB7CO5/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QHEBC5BMP3HZ4SO5GDY5PB7CO5/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QHEBC5BMP3HZ4SO5GDY5PB7CO5/action/storage_attestation","attest_author":"https://pith.science/pith/QHEBC5BMP3HZ4SO5GDY5PB7CO5/action/author_attestation","sign_citation":"https://pith.science/pith/QHEBC5BMP3HZ4SO5GDY5PB7CO5/action/citation_signature","submit_replication":"https://pith.science/pith/QHEBC5BMP3HZ4SO5GDY5PB7CO5/action/replication_record"}},"created_at":"2026-05-17T23:50:12.989616+00:00","updated_at":"2026-05-17T23:50:12.989616+00:00"}