{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:WRI6WPOTAYGBAJOO7GD22YHB2E","short_pith_number":"pith:WRI6WPOT","schema_version":"1.0","canonical_sha256":"b451eb3dd3060c1025cef987ad60e1d12e985f97a708cd9dac339dc16d334300","source":{"kind":"arxiv","id":"1507.08183","version":1},"attestation_state":"computed","paper":{"title":"Neural networks with excitatory and inhibitory components: direct and inverse problems by a mean-field approach","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["q-bio.NC"],"primary_cat":"cond-mat.dis-nn","authors_text":"A. Vezzani, M. Casartelli, M. di Volo, R. Burioni, R. Livi","submitted_at":"2015-07-29T15:26:48Z","abstract_excerpt":"We study the dynamics of networks with inhibitory and excitatory leaky-integrate-and-fire neurons with short-term synaptic plasticity in the presence of depressive and facilitating mechanisms. The dynamics is analyzed by a Heterogeneous Mean-Field approximation, that allows to keep track of the effects of structural disorder in the network. We describe the complex behavior of different classes of excitatory and inhibitory components, that give rise to a rich dynamical phase-diagram as a function of the fraction of inhibitory neurons. By the same mean field approach, we study and solve a global"},"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":"1507.08183","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2015-07-29T15:26:48Z","cross_cats_sorted":["q-bio.NC"],"title_canon_sha256":"48d3c06150bba5350463467b3aa96c6d678338e7b76ed9d2326f5596abbe02e7","abstract_canon_sha256":"c352dbbf0fc77852ce375b44675393536c23867ed2de091b1f648319a4e30e1b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:22:37.499794Z","signature_b64":"kqlUTwbECtcrOm9r1TKjjTiVXUEVv1d8RwwGfsP1mQ2rF50ydVDcFHfFA8kYTIEr57WWk4I1x49np0I5xcN9DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b451eb3dd3060c1025cef987ad60e1d12e985f97a708cd9dac339dc16d334300","last_reissued_at":"2026-05-18T01:22:37.499420Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:22:37.499420Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Neural networks with excitatory and inhibitory components: direct and inverse problems by a mean-field approach","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["q-bio.NC"],"primary_cat":"cond-mat.dis-nn","authors_text":"A. Vezzani, M. Casartelli, M. di Volo, R. Burioni, R. Livi","submitted_at":"2015-07-29T15:26:48Z","abstract_excerpt":"We study the dynamics of networks with inhibitory and excitatory leaky-integrate-and-fire neurons with short-term synaptic plasticity in the presence of depressive and facilitating mechanisms. The dynamics is analyzed by a Heterogeneous Mean-Field approximation, that allows to keep track of the effects of structural disorder in the network. We describe the complex behavior of different classes of excitatory and inhibitory components, that give rise to a rich dynamical phase-diagram as a function of the fraction of inhibitory neurons. By the same mean field approach, we study and solve a global"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1507.08183","kind":"arxiv","version":1},"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":"1507.08183","created_at":"2026-05-18T01:22:37.499475+00:00"},{"alias_kind":"arxiv_version","alias_value":"1507.08183v1","created_at":"2026-05-18T01:22:37.499475+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1507.08183","created_at":"2026-05-18T01:22:37.499475+00:00"},{"alias_kind":"pith_short_12","alias_value":"WRI6WPOTAYGB","created_at":"2026-05-18T12:29:47.479230+00:00"},{"alias_kind":"pith_short_16","alias_value":"WRI6WPOTAYGBAJOO","created_at":"2026-05-18T12:29:47.479230+00:00"},{"alias_kind":"pith_short_8","alias_value":"WRI6WPOT","created_at":"2026-05-18T12:29:47.479230+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/WRI6WPOTAYGBAJOO7GD22YHB2E","json":"https://pith.science/pith/WRI6WPOTAYGBAJOO7GD22YHB2E.json","graph_json":"https://pith.science/api/pith-number/WRI6WPOTAYGBAJOO7GD22YHB2E/graph.json","events_json":"https://pith.science/api/pith-number/WRI6WPOTAYGBAJOO7GD22YHB2E/events.json","paper":"https://pith.science/paper/WRI6WPOT"},"agent_actions":{"view_html":"https://pith.science/pith/WRI6WPOTAYGBAJOO7GD22YHB2E","download_json":"https://pith.science/pith/WRI6WPOTAYGBAJOO7GD22YHB2E.json","view_paper":"https://pith.science/paper/WRI6WPOT","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1507.08183&json=true","fetch_graph":"https://pith.science/api/pith-number/WRI6WPOTAYGBAJOO7GD22YHB2E/graph.json","fetch_events":"https://pith.science/api/pith-number/WRI6WPOTAYGBAJOO7GD22YHB2E/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/WRI6WPOTAYGBAJOO7GD22YHB2E/action/timestamp_anchor","attest_storage":"https://pith.science/pith/WRI6WPOTAYGBAJOO7GD22YHB2E/action/storage_attestation","attest_author":"https://pith.science/pith/WRI6WPOTAYGBAJOO7GD22YHB2E/action/author_attestation","sign_citation":"https://pith.science/pith/WRI6WPOTAYGBAJOO7GD22YHB2E/action/citation_signature","submit_replication":"https://pith.science/pith/WRI6WPOTAYGBAJOO7GD22YHB2E/action/replication_record"}},"created_at":"2026-05-18T01:22:37.499475+00:00","updated_at":"2026-05-18T01:22:37.499475+00:00"}