{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:ZQUQGG6NHGMWC4T4IMKPPV3AJL","short_pith_number":"pith:ZQUQGG6N","schema_version":"1.0","canonical_sha256":"cc29031bcd399961727c4314f7d7604ae0a6911960e90543ada3a0d570906dd5","source":{"kind":"arxiv","id":"1611.00294","version":3},"attestation_state":"computed","paper":{"title":"Towards a theory of cortical columns: From spiking neurons to interacting neural populations of finite size","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"q-bio.NC","authors_text":"Moritz Deger, Tilo Schwalger, Wulfram Gerstner","submitted_at":"2016-11-01T16:56:09Z","abstract_excerpt":"Neural population equations such as neural mass or field models are widely used to study brain activity on a large scale. However, the relation of these models to the properties of single neurons is unclear. Here we derive an equation for several interacting populations at the mesoscopic scale starting from a microscopic model of randomly connected generalized integrate-and-fire neuron models. Each population consists of 50 -- 2000 neurons of the same type but different populations account for different neuron types. The stochastic population equations that we find reveal how spike-history eff"},"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":"1611.00294","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.NC","submitted_at":"2016-11-01T16:56:09Z","cross_cats_sorted":[],"title_canon_sha256":"157ea25dd6a476abf4ce41f62e7d1b376dc67f5b0b88aca1e042ca8c6ddee7f4","abstract_canon_sha256":"52ca269a23e6b691d2ccc3a8e1ca06fda9ffbe6f359bce9146dc492f83992494"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:46:02.423842Z","signature_b64":"NxBSjbWF9ikjlTHcbZMyabvWJkswerI7sNYGrkbi4a7urmbMQepCujKAG5PKrXj0kVK4BvHH+PMdvNbBC4kcCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cc29031bcd399961727c4314f7d7604ae0a6911960e90543ada3a0d570906dd5","last_reissued_at":"2026-05-18T00:46:02.423289Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:46:02.423289Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Towards a theory of cortical columns: From spiking neurons to interacting neural populations of finite size","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"q-bio.NC","authors_text":"Moritz Deger, Tilo Schwalger, Wulfram Gerstner","submitted_at":"2016-11-01T16:56:09Z","abstract_excerpt":"Neural population equations such as neural mass or field models are widely used to study brain activity on a large scale. However, the relation of these models to the properties of single neurons is unclear. Here we derive an equation for several interacting populations at the mesoscopic scale starting from a microscopic model of randomly connected generalized integrate-and-fire neuron models. Each population consists of 50 -- 2000 neurons of the same type but different populations account for different neuron types. The stochastic population equations that we find reveal how spike-history eff"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.00294","kind":"arxiv","version":3},"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":"1611.00294","created_at":"2026-05-18T00:46:02.423373+00:00"},{"alias_kind":"arxiv_version","alias_value":"1611.00294v3","created_at":"2026-05-18T00:46:02.423373+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.00294","created_at":"2026-05-18T00:46:02.423373+00:00"},{"alias_kind":"pith_short_12","alias_value":"ZQUQGG6NHGMW","created_at":"2026-05-18T12:30:55.937587+00:00"},{"alias_kind":"pith_short_16","alias_value":"ZQUQGG6NHGMWC4T4","created_at":"2026-05-18T12:30:55.937587+00:00"},{"alias_kind":"pith_short_8","alias_value":"ZQUQGG6N","created_at":"2026-05-18T12:30:55.937587+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/ZQUQGG6NHGMWC4T4IMKPPV3AJL","json":"https://pith.science/pith/ZQUQGG6NHGMWC4T4IMKPPV3AJL.json","graph_json":"https://pith.science/api/pith-number/ZQUQGG6NHGMWC4T4IMKPPV3AJL/graph.json","events_json":"https://pith.science/api/pith-number/ZQUQGG6NHGMWC4T4IMKPPV3AJL/events.json","paper":"https://pith.science/paper/ZQUQGG6N"},"agent_actions":{"view_html":"https://pith.science/pith/ZQUQGG6NHGMWC4T4IMKPPV3AJL","download_json":"https://pith.science/pith/ZQUQGG6NHGMWC4T4IMKPPV3AJL.json","view_paper":"https://pith.science/paper/ZQUQGG6N","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1611.00294&json=true","fetch_graph":"https://pith.science/api/pith-number/ZQUQGG6NHGMWC4T4IMKPPV3AJL/graph.json","fetch_events":"https://pith.science/api/pith-number/ZQUQGG6NHGMWC4T4IMKPPV3AJL/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ZQUQGG6NHGMWC4T4IMKPPV3AJL/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ZQUQGG6NHGMWC4T4IMKPPV3AJL/action/storage_attestation","attest_author":"https://pith.science/pith/ZQUQGG6NHGMWC4T4IMKPPV3AJL/action/author_attestation","sign_citation":"https://pith.science/pith/ZQUQGG6NHGMWC4T4IMKPPV3AJL/action/citation_signature","submit_replication":"https://pith.science/pith/ZQUQGG6NHGMWC4T4IMKPPV3AJL/action/replication_record"}},"created_at":"2026-05-18T00:46:02.423373+00:00","updated_at":"2026-05-18T00:46:02.423373+00:00"}