{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:3XIN63MFFOU6WTD2FBGGQRNQCQ","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":"3d9e3630052d2470ab8e78d58b3e121600e30d186f170e3771f5bcf457b18f4f","cross_cats_sorted":["q-bio.NC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.AO","submitted_at":"2016-06-21T01:12:09Z","title_canon_sha256":"055ff47769ac12e776ce90f4a86ef8b666914a36e7a1e53987e13d144999d764"},"schema_version":"1.0","source":{"id":"1606.06391","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1606.06391","created_at":"2026-05-18T01:03:05Z"},{"alias_kind":"arxiv_version","alias_value":"1606.06391v2","created_at":"2026-05-18T01:03:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.06391","created_at":"2026-05-18T01:03:05Z"},{"alias_kind":"pith_short_12","alias_value":"3XIN63MFFOU6","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_16","alias_value":"3XIN63MFFOU6WTD2","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_8","alias_value":"3XIN63MF","created_at":"2026-05-18T12:29:58Z"}],"graph_snapshots":[{"event_id":"sha256:ed3f0d85278b00f61c79b64cc83b51708cde5186aa2949ac86cdc973a39dc15a","target":"graph","created_at":"2026-05-18T01:03:05Z","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":"Phase transitions and critical behavior are crucial issues both in theoretical and experimental neuroscience. We report analytic and computational results about phase transitions and self-organized criticality (SOC) in networks with general stochastic neurons. The stochastic neuron has a firing probability given by a smooth monotonic function $\\Phi(V)$ of the membrane potential $V$, rather than a sharp firing threshold. We find that such networks can operate in several dynamic regimes (phases) depending on the average synaptic weight and the shape of the firing function $\\Phi$. In particular, ","authors_text":"A.A. Costa, A.C. Roque, J. Stolfi, L. Brochini, M. Abadi, O. Kinouchi","cross_cats":["q-bio.NC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.AO","submitted_at":"2016-06-21T01:12:09Z","title":"Phase transitions and self-organized criticality in networks of stochastic spiking neurons"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.06391","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":"sha256:54e49da5deeb29e1498522e1840a4d9d9855a7a5847f9bdc1792dd04fffd04c3","target":"record","created_at":"2026-05-18T01:03:05Z","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":"3d9e3630052d2470ab8e78d58b3e121600e30d186f170e3771f5bcf457b18f4f","cross_cats_sorted":["q-bio.NC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.AO","submitted_at":"2016-06-21T01:12:09Z","title_canon_sha256":"055ff47769ac12e776ce90f4a86ef8b666914a36e7a1e53987e13d144999d764"},"schema_version":"1.0","source":{"id":"1606.06391","kind":"arxiv","version":2}},"canonical_sha256":"ddd0df6d852ba9eb4c7a284c6845b014110d40fb0e906edff4291c7bae57f6d5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ddd0df6d852ba9eb4c7a284c6845b014110d40fb0e906edff4291c7bae57f6d5","first_computed_at":"2026-05-18T01:03:05.913145Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:03:05.913145Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"uWmD/3n/86YzJ8FS3sSDgZpLQvBzfvqGx/uji2X0upGWUp8Raz377uq/DQsu0ozFIdZCrx5eDGJVyQ1raIxIBA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:03:05.913648Z","signed_message":"canonical_sha256_bytes"},"source_id":"1606.06391","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:54e49da5deeb29e1498522e1840a4d9d9855a7a5847f9bdc1792dd04fffd04c3","sha256:ed3f0d85278b00f61c79b64cc83b51708cde5186aa2949ac86cdc973a39dc15a"],"state_sha256":"eeef6daf159c4eb2e53d9a30efda390441305aa5c17a7915f9311f77301698a4"}