{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:QA45EM7U4GL2TQXMCN5VGWRKMB","short_pith_number":"pith:QA45EM7U","schema_version":"1.0","canonical_sha256":"8039d233f4e197a9c2ec137b535a2a60493d54d0ba7ef86e35c6633669476fe1","source":{"kind":"arxiv","id":"1301.3779","version":2},"attestation_state":"computed","paper":{"title":"Optimal system size for complex dynamics in random neural networks near criticality","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.dis-nn","authors_text":"Gilles Wainrib, Luis Carlos Garc\\'ia del Molino","submitted_at":"2013-01-16T18:10:35Z","abstract_excerpt":"In this Letter, we consider a model of dynamical agents coupled through a random connectivity matrix, as introduced in [Sompolinsky et. al, 1988] in the context of random neural networks. It is known that increasing the disorder parameter induces a phase transition leading to chaotic dynamics. We observe and investigate here a novel phenomenon in the subcritical regime : the probability of observing complex dynamics is maximal for an intermediate system size when the disorder is close enough to criticality. We give a more general explanation of this type of system size resonance in the framewo"},"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":"1301.3779","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2013-01-16T18:10:35Z","cross_cats_sorted":[],"title_canon_sha256":"201589f4baf08c524a920bed3e399630f30af6debbc7bb70a5d2e67046a6c087","abstract_canon_sha256":"9c2134b7f7736785cdc91ea8e082575efa3053c5c416b108dfaae8b0067b3765"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:52:06.541533Z","signature_b64":"OiTyv8bVUMCrxyuJzmVFRHktzUPJGv+I7G5FbbZv54hzA+dQsNLspCRaGSZk6loX2/wapiZIf8taxmot2zNsBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8039d233f4e197a9c2ec137b535a2a60493d54d0ba7ef86e35c6633669476fe1","last_reissued_at":"2026-05-18T01:52:06.541150Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:52:06.541150Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Optimal system size for complex dynamics in random neural networks near criticality","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.dis-nn","authors_text":"Gilles Wainrib, Luis Carlos Garc\\'ia del Molino","submitted_at":"2013-01-16T18:10:35Z","abstract_excerpt":"In this Letter, we consider a model of dynamical agents coupled through a random connectivity matrix, as introduced in [Sompolinsky et. al, 1988] in the context of random neural networks. It is known that increasing the disorder parameter induces a phase transition leading to chaotic dynamics. We observe and investigate here a novel phenomenon in the subcritical regime : the probability of observing complex dynamics is maximal for an intermediate system size when the disorder is close enough to criticality. We give a more general explanation of this type of system size resonance in the framewo"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.3779","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":"1301.3779","created_at":"2026-05-18T01:52:06.541210+00:00"},{"alias_kind":"arxiv_version","alias_value":"1301.3779v2","created_at":"2026-05-18T01:52:06.541210+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.3779","created_at":"2026-05-18T01:52:06.541210+00:00"},{"alias_kind":"pith_short_12","alias_value":"QA45EM7U4GL2","created_at":"2026-05-18T12:27:57.521954+00:00"},{"alias_kind":"pith_short_16","alias_value":"QA45EM7U4GL2TQXM","created_at":"2026-05-18T12:27:57.521954+00:00"},{"alias_kind":"pith_short_8","alias_value":"QA45EM7U","created_at":"2026-05-18T12:27:57.521954+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/QA45EM7U4GL2TQXMCN5VGWRKMB","json":"https://pith.science/pith/QA45EM7U4GL2TQXMCN5VGWRKMB.json","graph_json":"https://pith.science/api/pith-number/QA45EM7U4GL2TQXMCN5VGWRKMB/graph.json","events_json":"https://pith.science/api/pith-number/QA45EM7U4GL2TQXMCN5VGWRKMB/events.json","paper":"https://pith.science/paper/QA45EM7U"},"agent_actions":{"view_html":"https://pith.science/pith/QA45EM7U4GL2TQXMCN5VGWRKMB","download_json":"https://pith.science/pith/QA45EM7U4GL2TQXMCN5VGWRKMB.json","view_paper":"https://pith.science/paper/QA45EM7U","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1301.3779&json=true","fetch_graph":"https://pith.science/api/pith-number/QA45EM7U4GL2TQXMCN5VGWRKMB/graph.json","fetch_events":"https://pith.science/api/pith-number/QA45EM7U4GL2TQXMCN5VGWRKMB/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QA45EM7U4GL2TQXMCN5VGWRKMB/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QA45EM7U4GL2TQXMCN5VGWRKMB/action/storage_attestation","attest_author":"https://pith.science/pith/QA45EM7U4GL2TQXMCN5VGWRKMB/action/author_attestation","sign_citation":"https://pith.science/pith/QA45EM7U4GL2TQXMCN5VGWRKMB/action/citation_signature","submit_replication":"https://pith.science/pith/QA45EM7U4GL2TQXMCN5VGWRKMB/action/replication_record"}},"created_at":"2026-05-18T01:52:06.541210+00:00","updated_at":"2026-05-18T01:52:06.541210+00:00"}