{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:A2WU3P3E5CEB6KFO3TAZTEMVVJ","short_pith_number":"pith:A2WU3P3E","schema_version":"1.0","canonical_sha256":"06ad4dbf64e8881f28aedcc1999195aa5fffbae4ec3c7a4680aa160d0cd3e83e","source":{"kind":"arxiv","id":"1312.7470","version":1},"attestation_state":"computed","paper":{"title":"Key bifurcations of bursting polyrhythms in 3-cell central pattern generators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DS","q-bio.NC"],"primary_cat":"nlin.CD","authors_text":"Andrey L. Shilnikov, Jeremy Wojcik, Justus Schwabedal, Robert Clewley","submitted_at":"2013-12-28T20:15:32Z","abstract_excerpt":"We identify and describe the key qualitative rhythmic states in various 3-cell network motifs of a multifunctional central pattern generator (CPG). Such CPGs are neural microcircuits of cells whose synergetic interactions produce multiple states with distinct phase-locked patterns of bursting activity. To study biologically plausible CPG models, we develop a suite of computational tools that reduce the problem of stability and existence of rhythmic patterns in networks to the bifurcation analysis of fixed points and invariant curves of a Poincar\\'e return maps for phase lags between cells.\n  W"},"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":"1312.7470","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2013-12-28T20:15:32Z","cross_cats_sorted":["math.DS","q-bio.NC"],"title_canon_sha256":"c95de6ee2e163a706c5510f1878e984c6c6a3b74410371e92879b2bf2dd6807f","abstract_canon_sha256":"879d9c1cf329257b89b9a09e53b1f5f8fda2b3ada3889000eaf96a761f8f60bb"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:45:35.447776Z","signature_b64":"VRdSeRqYKZpbA822sPsk1tl+zawsZRhgYSN5wmAylKjR91qHpX0caOFr7KCWhYiT44Dcn0hkZicJTvKQY1U7CQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"06ad4dbf64e8881f28aedcc1999195aa5fffbae4ec3c7a4680aa160d0cd3e83e","last_reissued_at":"2026-05-18T01:45:35.447208Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:45:35.447208Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Key bifurcations of bursting polyrhythms in 3-cell central pattern generators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DS","q-bio.NC"],"primary_cat":"nlin.CD","authors_text":"Andrey L. Shilnikov, Jeremy Wojcik, Justus Schwabedal, Robert Clewley","submitted_at":"2013-12-28T20:15:32Z","abstract_excerpt":"We identify and describe the key qualitative rhythmic states in various 3-cell network motifs of a multifunctional central pattern generator (CPG). Such CPGs are neural microcircuits of cells whose synergetic interactions produce multiple states with distinct phase-locked patterns of bursting activity. To study biologically plausible CPG models, we develop a suite of computational tools that reduce the problem of stability and existence of rhythmic patterns in networks to the bifurcation analysis of fixed points and invariant curves of a Poincar\\'e return maps for phase lags between cells.\n  W"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.7470","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":"1312.7470","created_at":"2026-05-18T01:45:35.447301+00:00"},{"alias_kind":"arxiv_version","alias_value":"1312.7470v1","created_at":"2026-05-18T01:45:35.447301+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.7470","created_at":"2026-05-18T01:45:35.447301+00:00"},{"alias_kind":"pith_short_12","alias_value":"A2WU3P3E5CEB","created_at":"2026-05-18T12:27:38.830355+00:00"},{"alias_kind":"pith_short_16","alias_value":"A2WU3P3E5CEB6KFO","created_at":"2026-05-18T12:27:38.830355+00:00"},{"alias_kind":"pith_short_8","alias_value":"A2WU3P3E","created_at":"2026-05-18T12:27:38.830355+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/A2WU3P3E5CEB6KFO3TAZTEMVVJ","json":"https://pith.science/pith/A2WU3P3E5CEB6KFO3TAZTEMVVJ.json","graph_json":"https://pith.science/api/pith-number/A2WU3P3E5CEB6KFO3TAZTEMVVJ/graph.json","events_json":"https://pith.science/api/pith-number/A2WU3P3E5CEB6KFO3TAZTEMVVJ/events.json","paper":"https://pith.science/paper/A2WU3P3E"},"agent_actions":{"view_html":"https://pith.science/pith/A2WU3P3E5CEB6KFO3TAZTEMVVJ","download_json":"https://pith.science/pith/A2WU3P3E5CEB6KFO3TAZTEMVVJ.json","view_paper":"https://pith.science/paper/A2WU3P3E","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1312.7470&json=true","fetch_graph":"https://pith.science/api/pith-number/A2WU3P3E5CEB6KFO3TAZTEMVVJ/graph.json","fetch_events":"https://pith.science/api/pith-number/A2WU3P3E5CEB6KFO3TAZTEMVVJ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/A2WU3P3E5CEB6KFO3TAZTEMVVJ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/A2WU3P3E5CEB6KFO3TAZTEMVVJ/action/storage_attestation","attest_author":"https://pith.science/pith/A2WU3P3E5CEB6KFO3TAZTEMVVJ/action/author_attestation","sign_citation":"https://pith.science/pith/A2WU3P3E5CEB6KFO3TAZTEMVVJ/action/citation_signature","submit_replication":"https://pith.science/pith/A2WU3P3E5CEB6KFO3TAZTEMVVJ/action/replication_record"}},"created_at":"2026-05-18T01:45:35.447301+00:00","updated_at":"2026-05-18T01:45:35.447301+00:00"}