{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:MQTXJBBWSHE3EDEKNWX47L2LBG","short_pith_number":"pith:MQTXJBBW","schema_version":"1.0","canonical_sha256":"642774843691c9b20c8a6dafcfaf4b09961225999a812361dfb2fa783f131f41","source":{"kind":"arxiv","id":"1507.00189","version":2},"attestation_state":"computed","paper":{"title":"A hybrid model for large neural network description","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DS"],"primary_cat":"q-bio.NC","authors_text":"Anna Cattani, Claudio Canuto, Sergio Solinas","submitted_at":"2015-07-01T11:14:00Z","abstract_excerpt":"The aim of the present paper is to efficiently describe the membrane potential dynamics of neural populations formed by species having a high density difference in specific brain areas. We propose a hybrid model whose main ingredients are a conductance-based model (ODE system) and its continuous counterpart (PDE system) obtained through a limit process in which the number of neurons confined in a bounded region of the brain is sent to infinity. Specifically, in the discrete model each cell of the low-density populations is individually described by a set of time-dependent variables, whereas in"},"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":"1507.00189","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.NC","submitted_at":"2015-07-01T11:14:00Z","cross_cats_sorted":["math.DS"],"title_canon_sha256":"a0406deeb56e9254cca0c0026ed36c56b3d6e87fa0b2f8839b533c91c3030a9a","abstract_canon_sha256":"d738fc11097b29334f22f7bb9ee521e263c32cb6980693db4a4bbb0bf79c0dc9"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:31:10.748535Z","signature_b64":"nWPliY7gG3FI7+mpiTMfICAbIfelvQ4fpAjhiL4wtjCMfGOarnuUr4MskGjrYYfOHNGRVr6uzD5PO97YvW2OBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"642774843691c9b20c8a6dafcfaf4b09961225999a812361dfb2fa783f131f41","last_reissued_at":"2026-05-18T01:31:10.747927Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:31:10.747927Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A hybrid model for large neural network description","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DS"],"primary_cat":"q-bio.NC","authors_text":"Anna Cattani, Claudio Canuto, Sergio Solinas","submitted_at":"2015-07-01T11:14:00Z","abstract_excerpt":"The aim of the present paper is to efficiently describe the membrane potential dynamics of neural populations formed by species having a high density difference in specific brain areas. We propose a hybrid model whose main ingredients are a conductance-based model (ODE system) and its continuous counterpart (PDE system) obtained through a limit process in which the number of neurons confined in a bounded region of the brain is sent to infinity. Specifically, in the discrete model each cell of the low-density populations is individually described by a set of time-dependent variables, whereas in"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1507.00189","kind":"arxiv","version":2},"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":"1507.00189","created_at":"2026-05-18T01:31:10.748012+00:00"},{"alias_kind":"arxiv_version","alias_value":"1507.00189v2","created_at":"2026-05-18T01:31:10.748012+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1507.00189","created_at":"2026-05-18T01:31:10.748012+00:00"},{"alias_kind":"pith_short_12","alias_value":"MQTXJBBWSHE3","created_at":"2026-05-18T12:29:32.376354+00:00"},{"alias_kind":"pith_short_16","alias_value":"MQTXJBBWSHE3EDEK","created_at":"2026-05-18T12:29:32.376354+00:00"},{"alias_kind":"pith_short_8","alias_value":"MQTXJBBW","created_at":"2026-05-18T12:29:32.376354+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/MQTXJBBWSHE3EDEKNWX47L2LBG","json":"https://pith.science/pith/MQTXJBBWSHE3EDEKNWX47L2LBG.json","graph_json":"https://pith.science/api/pith-number/MQTXJBBWSHE3EDEKNWX47L2LBG/graph.json","events_json":"https://pith.science/api/pith-number/MQTXJBBWSHE3EDEKNWX47L2LBG/events.json","paper":"https://pith.science/paper/MQTXJBBW"},"agent_actions":{"view_html":"https://pith.science/pith/MQTXJBBWSHE3EDEKNWX47L2LBG","download_json":"https://pith.science/pith/MQTXJBBWSHE3EDEKNWX47L2LBG.json","view_paper":"https://pith.science/paper/MQTXJBBW","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1507.00189&json=true","fetch_graph":"https://pith.science/api/pith-number/MQTXJBBWSHE3EDEKNWX47L2LBG/graph.json","fetch_events":"https://pith.science/api/pith-number/MQTXJBBWSHE3EDEKNWX47L2LBG/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MQTXJBBWSHE3EDEKNWX47L2LBG/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MQTXJBBWSHE3EDEKNWX47L2LBG/action/storage_attestation","attest_author":"https://pith.science/pith/MQTXJBBWSHE3EDEKNWX47L2LBG/action/author_attestation","sign_citation":"https://pith.science/pith/MQTXJBBWSHE3EDEKNWX47L2LBG/action/citation_signature","submit_replication":"https://pith.science/pith/MQTXJBBWSHE3EDEKNWX47L2LBG/action/replication_record"}},"created_at":"2026-05-18T01:31:10.748012+00:00","updated_at":"2026-05-18T01:31:10.748012+00:00"}