{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:EA2MSBRTWKDKHIOHLMBZPSNI7E","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"31c4e5e3ecac9aeb27b3261eeacdd4ef2d4a12a1550958b01e38f1da85cbca5a","cross_cats_sorted":["cond-mat.stat-mech","nlin.CD","physics.bio-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2014-04-28T13:54:03Z","title_canon_sha256":"5d581a09a46eb7df34b8b2d591909082fac1c8dc5c634418343ce2835c56ce27"},"schema_version":"1.0","source":{"id":"1404.6980","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1404.6980","created_at":"2026-05-18T02:45:12Z"},{"alias_kind":"arxiv_version","alias_value":"1404.6980v3","created_at":"2026-05-18T02:45:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.6980","created_at":"2026-05-18T02:45:12Z"},{"alias_kind":"pith_short_12","alias_value":"EA2MSBRTWKDK","created_at":"2026-05-18T12:28:25Z"},{"alias_kind":"pith_short_16","alias_value":"EA2MSBRTWKDKHIOH","created_at":"2026-05-18T12:28:25Z"},{"alias_kind":"pith_short_8","alias_value":"EA2MSBRT","created_at":"2026-05-18T12:28:25Z"}],"graph_snapshots":[{"event_id":"sha256:5f9fb50b31b5fcbee63888858ca70c7abc294f6c7e5127eef2e26502f3fa07de","target":"graph","created_at":"2026-05-18T02:45:12Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We study the collective dynamics of noise-driven excitable elements, so-called active rotators. Crucially here, the natural frequencies and the individual coupling strengths are drawn from some joint probability distribution. Combining a mean-field treatment with a Gaussian approximation allows us to find examples where the infinite-dimensional system is reduced to a few ordinary differential equations. Our focus lies in the cooperative behavior in a population consisting of two parts, where one is composed of excitable elements, while the other one contains only self-oscillatory units. Surpri","authors_text":"Bernard Sonnenschein, Francisco A. Rodrigues, J\\\"urgen Kurths, Lutz Schimansky-Geier, Thomas K. DM. Peron","cross_cats":["cond-mat.stat-mech","nlin.CD","physics.bio-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2014-04-28T13:54:03Z","title":"Cooperative behavior between oscillatory and excitable units: the peculiar role of positive coupling-frequency correlations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.6980","kind":"arxiv","version":3},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:5168450310dc287e2e398d619994d66036cb6bf3e86299adebd027c2f83ef11c","target":"record","created_at":"2026-05-18T02:45:12Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"31c4e5e3ecac9aeb27b3261eeacdd4ef2d4a12a1550958b01e38f1da85cbca5a","cross_cats_sorted":["cond-mat.stat-mech","nlin.CD","physics.bio-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2014-04-28T13:54:03Z","title_canon_sha256":"5d581a09a46eb7df34b8b2d591909082fac1c8dc5c634418343ce2835c56ce27"},"schema_version":"1.0","source":{"id":"1404.6980","kind":"arxiv","version":3}},"canonical_sha256":"2034c90633b286a3a1c75b0397c9a8f91577c98ed22f5934e38b5626e742ab9a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2034c90633b286a3a1c75b0397c9a8f91577c98ed22f5934e38b5626e742ab9a","first_computed_at":"2026-05-18T02:45:12.384064Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:45:12.384064Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XB8SXHqJ3m1x4zTs2qYm0wCCJJE55Tzzl1+GNVIq7WlzDMajsGJqT2VvkKjF2skwT3VkD8wcE06W956x5xmrAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:45:12.384771Z","signed_message":"canonical_sha256_bytes"},"source_id":"1404.6980","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5168450310dc287e2e398d619994d66036cb6bf3e86299adebd027c2f83ef11c","sha256:5f9fb50b31b5fcbee63888858ca70c7abc294f6c7e5127eef2e26502f3fa07de"],"state_sha256":"a060bdda0a8811bc8ac5ab62b9b9496d503241330ae44b06f0ba4395f8704fa8"}