{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:NFF6TBM5VB7HBOTFK5U4F75KYG","short_pith_number":"pith:NFF6TBM5","schema_version":"1.0","canonical_sha256":"694be9859da87e70ba655769c2ffaac1aa9dfa89939b1b1d5a36727f6a62f397","source":{"kind":"arxiv","id":"1201.0246","version":1},"attestation_state":"computed","paper":{"title":"Bifurcations of Emergent Bursting in a Neuronal Network","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DS"],"primary_cat":"q-bio.QM","authors_text":"Gareth Leng, Jianfeng Feng, Wei Lin, Wenlian Lu, Yu Wu","submitted_at":"2011-12-31T10:59:56Z","abstract_excerpt":"Currently we routinely develop a complex neuronal network to explain observed but often paradoxical phenomena based upon biological recordings. Here we present a general approach to demonstrate how to mathematically tackle such a complex neuronal network so that we can fully understand the underlying mechanism. Using an oxytocin network developed earlier as an example, we show how we can reduce a complex model with many variables to a tractable model with two variables, while retaining all key qualitative features of the model. The approach enables us to uncover how emergent synchronous bursti"},"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":"1201.0246","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.QM","submitted_at":"2011-12-31T10:59:56Z","cross_cats_sorted":["math.DS"],"title_canon_sha256":"71d275c3767510e836ab816a44b9193dbcd95b949d10ae459e71a5c418309b0b","abstract_canon_sha256":"4219ccc447502880e03c3b0dc53d70043f1e062cf1125ca7b2642b9d4909c0a6"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:58:59.204487Z","signature_b64":"aWVSSO3zpk5a52h9XbDWk13qQj1k+Pz/s2L/M1oAS21niaP0VOBrNFtEVURSReoh+puzxy/yhPtDgrflRQG4CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"694be9859da87e70ba655769c2ffaac1aa9dfa89939b1b1d5a36727f6a62f397","last_reissued_at":"2026-05-18T01:58:59.203862Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:58:59.203862Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Bifurcations of Emergent Bursting in a Neuronal Network","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DS"],"primary_cat":"q-bio.QM","authors_text":"Gareth Leng, Jianfeng Feng, Wei Lin, Wenlian Lu, Yu Wu","submitted_at":"2011-12-31T10:59:56Z","abstract_excerpt":"Currently we routinely develop a complex neuronal network to explain observed but often paradoxical phenomena based upon biological recordings. Here we present a general approach to demonstrate how to mathematically tackle such a complex neuronal network so that we can fully understand the underlying mechanism. Using an oxytocin network developed earlier as an example, we show how we can reduce a complex model with many variables to a tractable model with two variables, while retaining all key qualitative features of the model. The approach enables us to uncover how emergent synchronous bursti"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1201.0246","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":"1201.0246","created_at":"2026-05-18T01:58:59.203964+00:00"},{"alias_kind":"arxiv_version","alias_value":"1201.0246v1","created_at":"2026-05-18T01:58:59.203964+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1201.0246","created_at":"2026-05-18T01:58:59.203964+00:00"},{"alias_kind":"pith_short_12","alias_value":"NFF6TBM5VB7H","created_at":"2026-05-18T12:26:37.096874+00:00"},{"alias_kind":"pith_short_16","alias_value":"NFF6TBM5VB7HBOTF","created_at":"2026-05-18T12:26:37.096874+00:00"},{"alias_kind":"pith_short_8","alias_value":"NFF6TBM5","created_at":"2026-05-18T12:26:37.096874+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/NFF6TBM5VB7HBOTFK5U4F75KYG","json":"https://pith.science/pith/NFF6TBM5VB7HBOTFK5U4F75KYG.json","graph_json":"https://pith.science/api/pith-number/NFF6TBM5VB7HBOTFK5U4F75KYG/graph.json","events_json":"https://pith.science/api/pith-number/NFF6TBM5VB7HBOTFK5U4F75KYG/events.json","paper":"https://pith.science/paper/NFF6TBM5"},"agent_actions":{"view_html":"https://pith.science/pith/NFF6TBM5VB7HBOTFK5U4F75KYG","download_json":"https://pith.science/pith/NFF6TBM5VB7HBOTFK5U4F75KYG.json","view_paper":"https://pith.science/paper/NFF6TBM5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1201.0246&json=true","fetch_graph":"https://pith.science/api/pith-number/NFF6TBM5VB7HBOTFK5U4F75KYG/graph.json","fetch_events":"https://pith.science/api/pith-number/NFF6TBM5VB7HBOTFK5U4F75KYG/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/NFF6TBM5VB7HBOTFK5U4F75KYG/action/timestamp_anchor","attest_storage":"https://pith.science/pith/NFF6TBM5VB7HBOTFK5U4F75KYG/action/storage_attestation","attest_author":"https://pith.science/pith/NFF6TBM5VB7HBOTFK5U4F75KYG/action/author_attestation","sign_citation":"https://pith.science/pith/NFF6TBM5VB7HBOTFK5U4F75KYG/action/citation_signature","submit_replication":"https://pith.science/pith/NFF6TBM5VB7HBOTFK5U4F75KYG/action/replication_record"}},"created_at":"2026-05-18T01:58:59.203964+00:00","updated_at":"2026-05-18T01:58:59.203964+00:00"}