{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:54AZJDGZL4FBWO4OEX5XMMLF4Z","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":"f462707bee813eba162ebc31121815e29d2c66afa495cc2537f424cc24a05a00","cross_cats_sorted":["q-bio.NC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-10-10T09:26:21Z","title_canon_sha256":"701e2dbb03a105ef2af314f594bd12d5228e56eda9f5bfa4fac68bfbcfa6fb2f"},"schema_version":"1.0","source":{"id":"1310.2742","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1310.2742","created_at":"2026-05-18T03:10:46Z"},{"alias_kind":"arxiv_version","alias_value":"1310.2742v1","created_at":"2026-05-18T03:10:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.2742","created_at":"2026-05-18T03:10:46Z"},{"alias_kind":"pith_short_12","alias_value":"54AZJDGZL4FB","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_16","alias_value":"54AZJDGZL4FBWO4O","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_8","alias_value":"54AZJDGZ","created_at":"2026-05-18T12:27:34Z"}],"graph_snapshots":[{"event_id":"sha256:c365d725353803488f0f6d3432a045de160d9e86bb7ab5d714042e1a5c516281","target":"graph","created_at":"2026-05-18T03:10:46Z","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":"The voltage-conductance kinetic equation for integrate and fire neurons has been used in neurosciences since a decade and describes the probability density of neurons in a network. It is used when slow conductance receptors are activated and noticeable applications to the visual cortex have been worked-out. In the simplest case, the derivation also uses the assumption of fully excitatory and moderately all-to-all coupled networks; this is the situation we consider here. We study properties of solutions of the kinetic equation for steady states and time evolution and we prove several global a p","authors_text":"Benoit Perthame (LJLL, Delphine Salort (IJM), INRIA Rocquencourt)","cross_cats":["q-bio.NC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-10-10T09:26:21Z","title":"On a voltage-conductance kinetic system for integrate and fire neural networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.2742","kind":"arxiv","version":1},"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":"sha256:6ef2028067328f64318ce367b9d3f90a95bf217f24f5f571afaf3c7ac28a95ca","target":"record","created_at":"2026-05-18T03:10:46Z","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":"f462707bee813eba162ebc31121815e29d2c66afa495cc2537f424cc24a05a00","cross_cats_sorted":["q-bio.NC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-10-10T09:26:21Z","title_canon_sha256":"701e2dbb03a105ef2af314f594bd12d5228e56eda9f5bfa4fac68bfbcfa6fb2f"},"schema_version":"1.0","source":{"id":"1310.2742","kind":"arxiv","version":1}},"canonical_sha256":"ef01948cd95f0a1b3b8e25fb763165e6512a067fa688aafdf4b48e470e8d703c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ef01948cd95f0a1b3b8e25fb763165e6512a067fa688aafdf4b48e470e8d703c","first_computed_at":"2026-05-18T03:10:46.784759Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:10:46.784759Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HZz+UBTGB9CYpl0pYjH6PwJ+r2EVmhDE9tZk/cteARxJlj+tQyWaxwq5SKO5CdkJuyZfPdU/NdXuhMjZV0ZBDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:10:46.785517Z","signed_message":"canonical_sha256_bytes"},"source_id":"1310.2742","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6ef2028067328f64318ce367b9d3f90a95bf217f24f5f571afaf3c7ac28a95ca","sha256:c365d725353803488f0f6d3432a045de160d9e86bb7ab5d714042e1a5c516281"],"state_sha256":"ffdbdb44a38fc59e027b9e3933d00cb8e3784d80db7a58170c0a9616fc539df4"}