{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:TGMVCVYDLIPH6LGVETA6TLQQB4","short_pith_number":"pith:TGMVCVYD","schema_version":"1.0","canonical_sha256":"99995157035a1e7f2cd524c1e9ae100f2de5b2e92094be8849d76748dd129172","source":{"kind":"arxiv","id":"1310.8560","version":1},"attestation_state":"computed","paper":{"title":"Synchrony and Periodicity in an Excitable Stochastic Neural Network with Multiple Subpopulations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CA"],"primary_cat":"math.DS","authors_text":"Lee DeVille, Yi Zeng","submitted_at":"2013-10-31T15:53:15Z","abstract_excerpt":"We consider a fully stochastic excitatory neuronal network with a number of subpopulations with different firing rates. We show that as network size goes to infinity, this limits on a deterministic hybrid model whose trajectories are discontinuous. The jumps in the limit correspond to large synchronous events that involve a large proportion of the network. We also perform a rigorous analysis of the limiting deterministic system in certain cases, and show that it displays synchrony and periodicity in a large region of parameter space."},"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":"1310.8560","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2013-10-31T15:53:15Z","cross_cats_sorted":["math.CA"],"title_canon_sha256":"d903d919801fc8b46d6bcbc19ded5ae0a2c453df98d33c2b69182d93cd0c2476","abstract_canon_sha256":"cc4e70b5c4be6bd8f1967c8792112aa61c2e2a7aa589e323c2dbc896c430ad04"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:08:16.640039Z","signature_b64":"zuzgx9VWLb623DKcfOnzDIyP5nDZWbQrk44d3LMNUP1jWP67Sx81UW2bG75+cbTnozOunqoCF+bVH10Gvq9uCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"99995157035a1e7f2cd524c1e9ae100f2de5b2e92094be8849d76748dd129172","last_reissued_at":"2026-05-18T03:08:16.639346Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:08:16.639346Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Synchrony and Periodicity in an Excitable Stochastic Neural Network with Multiple Subpopulations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CA"],"primary_cat":"math.DS","authors_text":"Lee DeVille, Yi Zeng","submitted_at":"2013-10-31T15:53:15Z","abstract_excerpt":"We consider a fully stochastic excitatory neuronal network with a number of subpopulations with different firing rates. We show that as network size goes to infinity, this limits on a deterministic hybrid model whose trajectories are discontinuous. The jumps in the limit correspond to large synchronous events that involve a large proportion of the network. We also perform a rigorous analysis of the limiting deterministic system in certain cases, and show that it displays synchrony and periodicity in a large region of parameter space."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.8560","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":"1310.8560","created_at":"2026-05-18T03:08:16.639445+00:00"},{"alias_kind":"arxiv_version","alias_value":"1310.8560v1","created_at":"2026-05-18T03:08:16.639445+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.8560","created_at":"2026-05-18T03:08:16.639445+00:00"},{"alias_kind":"pith_short_12","alias_value":"TGMVCVYDLIPH","created_at":"2026-05-18T12:28:02.375192+00:00"},{"alias_kind":"pith_short_16","alias_value":"TGMVCVYDLIPH6LGV","created_at":"2026-05-18T12:28:02.375192+00:00"},{"alias_kind":"pith_short_8","alias_value":"TGMVCVYD","created_at":"2026-05-18T12:28:02.375192+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/TGMVCVYDLIPH6LGVETA6TLQQB4","json":"https://pith.science/pith/TGMVCVYDLIPH6LGVETA6TLQQB4.json","graph_json":"https://pith.science/api/pith-number/TGMVCVYDLIPH6LGVETA6TLQQB4/graph.json","events_json":"https://pith.science/api/pith-number/TGMVCVYDLIPH6LGVETA6TLQQB4/events.json","paper":"https://pith.science/paper/TGMVCVYD"},"agent_actions":{"view_html":"https://pith.science/pith/TGMVCVYDLIPH6LGVETA6TLQQB4","download_json":"https://pith.science/pith/TGMVCVYDLIPH6LGVETA6TLQQB4.json","view_paper":"https://pith.science/paper/TGMVCVYD","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1310.8560&json=true","fetch_graph":"https://pith.science/api/pith-number/TGMVCVYDLIPH6LGVETA6TLQQB4/graph.json","fetch_events":"https://pith.science/api/pith-number/TGMVCVYDLIPH6LGVETA6TLQQB4/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/TGMVCVYDLIPH6LGVETA6TLQQB4/action/timestamp_anchor","attest_storage":"https://pith.science/pith/TGMVCVYDLIPH6LGVETA6TLQQB4/action/storage_attestation","attest_author":"https://pith.science/pith/TGMVCVYDLIPH6LGVETA6TLQQB4/action/author_attestation","sign_citation":"https://pith.science/pith/TGMVCVYDLIPH6LGVETA6TLQQB4/action/citation_signature","submit_replication":"https://pith.science/pith/TGMVCVYDLIPH6LGVETA6TLQQB4/action/replication_record"}},"created_at":"2026-05-18T03:08:16.639445+00:00","updated_at":"2026-05-18T03:08:16.639445+00:00"}