{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:6GKCRXO6VYUXMONXPP3UYKHMGS","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":"9673633e055afb3ee0006b3a83a4e906a3e538e67c48da19627f5d655def8fb5","cross_cats_sorted":["cond-mat.dis-nn","math.DS","nlin.CD"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.AO","submitted_at":"2017-12-08T19:01:52Z","title_canon_sha256":"9cf3b1b357fa84bc2c037cf84a390532360556a8e871603acfab45f405521194"},"schema_version":"1.0","source":{"id":"1712.03245","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1712.03245","created_at":"2026-05-18T00:27:56Z"},{"alias_kind":"arxiv_version","alias_value":"1712.03245v1","created_at":"2026-05-18T00:27:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.03245","created_at":"2026-05-18T00:27:56Z"},{"alias_kind":"pith_short_12","alias_value":"6GKCRXO6VYUX","created_at":"2026-05-18T12:31:03Z"},{"alias_kind":"pith_short_16","alias_value":"6GKCRXO6VYUXMONX","created_at":"2026-05-18T12:31:03Z"},{"alias_kind":"pith_short_8","alias_value":"6GKCRXO6","created_at":"2026-05-18T12:31:03Z"}],"graph_snapshots":[{"event_id":"sha256:07b2e8e4b031ebb23c34ee9248e24358aa1629dec4c419e3a5c167e4d8306176","target":"graph","created_at":"2026-05-18T00:27:56Z","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":"An outstanding problem in the study of networks of heterogeneous dynamical units concerns the development of rigorous methods to probe the stability of synchronous states when the differences between the units are not small. Here, we address this problem by presenting a generalization of the master stability formalism that can be applied to heterogeneous oscillators with large mismatches. Our approach is based on the simultaneous block diagonalization of the matrix terms in the variational equation, and it leads to dimension reduction that simplifies the original equation significantly. This n","authors_text":"Adilson E. Motter, Yuanzhao Zhang","cross_cats":["cond-mat.dis-nn","math.DS","nlin.CD"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.AO","submitted_at":"2017-12-08T19:01:52Z","title":"Identical synchronization of nonidentical oscillators: when only birds of different feathers flock together"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.03245","kind":"arxiv","version":1},"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":"sha256:3be01fec9f824486609324f7e3359645f24fb4b0926eef95ba8a5bdaa3e4b58a","target":"record","created_at":"2026-05-18T00:27:56Z","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":"9673633e055afb3ee0006b3a83a4e906a3e538e67c48da19627f5d655def8fb5","cross_cats_sorted":["cond-mat.dis-nn","math.DS","nlin.CD"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.AO","submitted_at":"2017-12-08T19:01:52Z","title_canon_sha256":"9cf3b1b357fa84bc2c037cf84a390532360556a8e871603acfab45f405521194"},"schema_version":"1.0","source":{"id":"1712.03245","kind":"arxiv","version":1}},"canonical_sha256":"f19428dddeae297639b77bf74c28ec34ba023d11ec0f47f1cef8ad6e3d439121","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f19428dddeae297639b77bf74c28ec34ba023d11ec0f47f1cef8ad6e3d439121","first_computed_at":"2026-05-18T00:27:56.710879Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:27:56.710879Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Ec02wWgWVHrMZBMOqXPwAqlbeNP+jZxJATEthht70i0DcJm7gOt9JlBGesXAqFRPT49ZOFV0sVpWKZbhqJesDw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:27:56.711574Z","signed_message":"canonical_sha256_bytes"},"source_id":"1712.03245","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3be01fec9f824486609324f7e3359645f24fb4b0926eef95ba8a5bdaa3e4b58a","sha256:07b2e8e4b031ebb23c34ee9248e24358aa1629dec4c419e3a5c167e4d8306176"],"state_sha256":"61d62be7563287c39ef2cd8b0f7d3cb225e44daf6b8e5aba1d27453c88d6b6b3"}