{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:FZEO7NDOQXHKXEU4GCMWZNNEVF","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"325d2220b7abf4e12b83607660fbcac73ace0403b21676f9c74cd3bd69f05cd2","cross_cats_sorted":["math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.NC","submitted_at":"2012-09-28T08:07:33Z","title_canon_sha256":"3ecdf6e591e3abea91b71adb28dc6d0b46fb28ced2d6299350a859d94fdba641"},"schema_version":"1.0","source":{"id":"1209.6445","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1209.6445","created_at":"2026-05-18T01:54:12Z"},{"alias_kind":"arxiv_version","alias_value":"1209.6445v2","created_at":"2026-05-18T01:54:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1209.6445","created_at":"2026-05-18T01:54:12Z"},{"alias_kind":"pith_short_12","alias_value":"FZEO7NDOQXHK","created_at":"2026-05-18T12:27:06Z"},{"alias_kind":"pith_short_16","alias_value":"FZEO7NDOQXHKXEU4","created_at":"2026-05-18T12:27:06Z"},{"alias_kind":"pith_short_8","alias_value":"FZEO7NDO","created_at":"2026-05-18T12:27:06Z"}],"graph_snapshots":[{"event_id":"sha256:ddafc271628232fed4694f6a129f6c9697f5957e137ee9b9a0ae12899914922b","target":"graph","created_at":"2026-05-18T01:54:12Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We use the qualitative insight of a planar neuronal phase portrait to detect an excitability switch in arbitrary conductance-based models from a simple mathematical condition. The condition expresses a balance between ion channels that provide a negative feedback at resting potential (restorative channels) and those that provide a positive feedback at resting potential (regenerative channels). Geometrically, the condition imposes a transcritical bifurcation that rules the switch of excitability through the variation of a single physiological parameter. Our analysis of six different published c","authors_text":"Alessio Franci, Guillaume Drion, Rodolphe Sepulchre, Vincent Seutin","cross_cats":["math.DS"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.NC","submitted_at":"2012-09-28T08:07:33Z","title":"A Balance Equation Determines a Switch in Neuronal Excitability"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1209.6445","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:7efa8529e68098694b5535fa53f553bbb765e71f27195fb8b79f37219c6e6b05","target":"record","created_at":"2026-05-18T01:54:12Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"325d2220b7abf4e12b83607660fbcac73ace0403b21676f9c74cd3bd69f05cd2","cross_cats_sorted":["math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.NC","submitted_at":"2012-09-28T08:07:33Z","title_canon_sha256":"3ecdf6e591e3abea91b71adb28dc6d0b46fb28ced2d6299350a859d94fdba641"},"schema_version":"1.0","source":{"id":"1209.6445","kind":"arxiv","version":2}},"canonical_sha256":"2e48efb46e85ceab929c30996cb5a4a9545b2250cdf5e194eef6176343bdfc49","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2e48efb46e85ceab929c30996cb5a4a9545b2250cdf5e194eef6176343bdfc49","first_computed_at":"2026-05-18T01:54:12.975269Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:54:12.975269Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Yd4JVv3r42pJDJ/FxBpts2FpkBG3HKW2gjZvqf4M1irsjVz6SqpY9yTlPa4dWfJIQ1koUMh8xKn9vMCdm3d6Aw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:54:12.975736Z","signed_message":"canonical_sha256_bytes"},"source_id":"1209.6445","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7efa8529e68098694b5535fa53f553bbb765e71f27195fb8b79f37219c6e6b05","sha256:ddafc271628232fed4694f6a129f6c9697f5957e137ee9b9a0ae12899914922b"],"state_sha256":"d2b0bce288fba36211e0b59b9fba6c96000badc2ba55f693aaaf62bd04f0b142"}