{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:NHLVNJNC4I76G4SNFEO4CBCCLB","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":"0a40630ed79a66b2859f25eefa95c463726cce6943108d2f5c73b3fe9893929b","cross_cats_sorted":["math.PR","physics.bio-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.NC","submitted_at":"2015-04-15T18:08:49Z","title_canon_sha256":"3089a0b85daa51058c2fc5ea3a0fa783bb569fc738e1980f4877e02ce3c628be"},"schema_version":"1.0","source":{"id":"1504.03983","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1504.03983","created_at":"2026-05-18T02:16:19Z"},{"alias_kind":"arxiv_version","alias_value":"1504.03983v2","created_at":"2026-05-18T02:16:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.03983","created_at":"2026-05-18T02:16:19Z"},{"alias_kind":"pith_short_12","alias_value":"NHLVNJNC4I76","created_at":"2026-05-18T12:29:32Z"},{"alias_kind":"pith_short_16","alias_value":"NHLVNJNC4I76G4SN","created_at":"2026-05-18T12:29:32Z"},{"alias_kind":"pith_short_8","alias_value":"NHLVNJNC","created_at":"2026-05-18T12:29:32Z"}],"graph_snapshots":[{"event_id":"sha256:01a4911844dd73e8471846651ad3f2f73a9ab71d0992d8259910e087b5fc3418","target":"graph","created_at":"2026-05-18T02:16:19Z","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 consider a leaky integrate-and-fire neuron with deterministic subthreshold dynamics and a firing threshold that evolves as an Ornstein-Uhlenbeck process. The formulation of this minimal model is motivated by the experimentally observed widespread variation of neural firing thresholds. We show numerically that the mean first passage time can depend non-monotonically on the noise amplitude. For sufficiently large values of the correlation time of the stochastic threshold the mean first passage time is maximal for non-vanishing noise. We provide an explanation for this effect by analytically t","authors_text":"Paul C. Matthews, R\\\"udiger Thul, Wilhelm Braun","cross_cats":["math.PR","physics.bio-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.NC","submitted_at":"2015-04-15T18:08:49Z","title":"First passage times in integrate-and-fire neurons with stochastic thresholds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.03983","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":"sha256:6f7df8e5d555e60c0c81db0b1b475f9acf23682b56f5cd3e0aeb9bc6a9076756","target":"record","created_at":"2026-05-18T02:16:19Z","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":"0a40630ed79a66b2859f25eefa95c463726cce6943108d2f5c73b3fe9893929b","cross_cats_sorted":["math.PR","physics.bio-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.NC","submitted_at":"2015-04-15T18:08:49Z","title_canon_sha256":"3089a0b85daa51058c2fc5ea3a0fa783bb569fc738e1980f4877e02ce3c628be"},"schema_version":"1.0","source":{"id":"1504.03983","kind":"arxiv","version":2}},"canonical_sha256":"69d756a5a2e23fe3724d291dc104425859c311e0e709975640fac2dfeb36877a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"69d756a5a2e23fe3724d291dc104425859c311e0e709975640fac2dfeb36877a","first_computed_at":"2026-05-18T02:16:19.979249Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:16:19.979249Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"KSIXTCN0EvJYU7b64kMwS1zwFdP6xNnAbUrLfPxqRv/ope27/7+b7iJsZbDh6fA6mBvjvZx+cvBheej7aWkFDA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:16:19.979884Z","signed_message":"canonical_sha256_bytes"},"source_id":"1504.03983","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6f7df8e5d555e60c0c81db0b1b475f9acf23682b56f5cd3e0aeb9bc6a9076756","sha256:01a4911844dd73e8471846651ad3f2f73a9ab71d0992d8259910e087b5fc3418"],"state_sha256":"2e1828d4e33eb16baa8e38874eed7d0a00f07d6b4829595f6ce39052eead2223"}