{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:757O5D2EWBVO3CNUAO62FI4OMQ","short_pith_number":"pith:757O5D2E","schema_version":"1.0","canonical_sha256":"ff7eee8f44b06aed89b403bda2a38e640deea6cfaf80960983023daeed006532","source":{"kind":"arxiv","id":"1605.07977","version":2},"attestation_state":"computed","paper":{"title":"Instability to a heterogeneous oscillatory state in randomly connected recurrent networks with delayed interactions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["q-bio.NC"],"primary_cat":"cond-mat.dis-nn","authors_text":"C\\'elian Bimbard, Erwan Ledoux, Srdjan Ostojic","submitted_at":"2016-05-25T17:39:36Z","abstract_excerpt":"Oscillatory dynamics are ubiquitous in biological networks. Possible sources of oscillations are well understood in low-dimensional systems, but have not been fully explored in high-dimensional networks. Here we study large networks consisting of randomly coupled rate units. We identify a novel type of bifurcation in which a continuous part of the eigenvalue spectrum of the linear stability matrix crosses the instability line at non-zero-frequency. This bifurcation occurs when the interactions are delayed and partially anti-symmetric, and leads to a heterogeneous oscillatory state in which osc"},"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":"1605.07977","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2016-05-25T17:39:36Z","cross_cats_sorted":["q-bio.NC"],"title_canon_sha256":"a461a0f767c225c6ae14bf73bd056f34ae6f212b73a2e2a1886ec9c3ca44cc9b","abstract_canon_sha256":"8e5732562a3882f2d4621211d74033a4ebca47c353d022d03b71f74c3f796046"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:54:20.355582Z","signature_b64":"1p2e/7fSLbA2XYlgzuvVsQCBPfTK0QLtNFI/rntbdyx2dBO2OeOBQnUSj1iOtJpjj/bfAMP8OojJYOsJ5pHKDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ff7eee8f44b06aed89b403bda2a38e640deea6cfaf80960983023daeed006532","last_reissued_at":"2026-05-18T00:54:20.355228Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:54:20.355228Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Instability to a heterogeneous oscillatory state in randomly connected recurrent networks with delayed interactions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["q-bio.NC"],"primary_cat":"cond-mat.dis-nn","authors_text":"C\\'elian Bimbard, Erwan Ledoux, Srdjan Ostojic","submitted_at":"2016-05-25T17:39:36Z","abstract_excerpt":"Oscillatory dynamics are ubiquitous in biological networks. Possible sources of oscillations are well understood in low-dimensional systems, but have not been fully explored in high-dimensional networks. Here we study large networks consisting of randomly coupled rate units. We identify a novel type of bifurcation in which a continuous part of the eigenvalue spectrum of the linear stability matrix crosses the instability line at non-zero-frequency. This bifurcation occurs when the interactions are delayed and partially anti-symmetric, and leads to a heterogeneous oscillatory state in which osc"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.07977","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":"1605.07977","created_at":"2026-05-18T00:54:20.355281+00:00"},{"alias_kind":"arxiv_version","alias_value":"1605.07977v2","created_at":"2026-05-18T00:54:20.355281+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.07977","created_at":"2026-05-18T00:54:20.355281+00:00"},{"alias_kind":"pith_short_12","alias_value":"757O5D2EWBVO","created_at":"2026-05-18T12:30:04.600751+00:00"},{"alias_kind":"pith_short_16","alias_value":"757O5D2EWBVO3CNU","created_at":"2026-05-18T12:30:04.600751+00:00"},{"alias_kind":"pith_short_8","alias_value":"757O5D2E","created_at":"2026-05-18T12:30:04.600751+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/757O5D2EWBVO3CNUAO62FI4OMQ","json":"https://pith.science/pith/757O5D2EWBVO3CNUAO62FI4OMQ.json","graph_json":"https://pith.science/api/pith-number/757O5D2EWBVO3CNUAO62FI4OMQ/graph.json","events_json":"https://pith.science/api/pith-number/757O5D2EWBVO3CNUAO62FI4OMQ/events.json","paper":"https://pith.science/paper/757O5D2E"},"agent_actions":{"view_html":"https://pith.science/pith/757O5D2EWBVO3CNUAO62FI4OMQ","download_json":"https://pith.science/pith/757O5D2EWBVO3CNUAO62FI4OMQ.json","view_paper":"https://pith.science/paper/757O5D2E","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1605.07977&json=true","fetch_graph":"https://pith.science/api/pith-number/757O5D2EWBVO3CNUAO62FI4OMQ/graph.json","fetch_events":"https://pith.science/api/pith-number/757O5D2EWBVO3CNUAO62FI4OMQ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/757O5D2EWBVO3CNUAO62FI4OMQ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/757O5D2EWBVO3CNUAO62FI4OMQ/action/storage_attestation","attest_author":"https://pith.science/pith/757O5D2EWBVO3CNUAO62FI4OMQ/action/author_attestation","sign_citation":"https://pith.science/pith/757O5D2EWBVO3CNUAO62FI4OMQ/action/citation_signature","submit_replication":"https://pith.science/pith/757O5D2EWBVO3CNUAO62FI4OMQ/action/replication_record"}},"created_at":"2026-05-18T00:54:20.355281+00:00","updated_at":"2026-05-18T00:54:20.355281+00:00"}