{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:JQCCWGCU7ISQQSG4IRLPEPJIZF","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":"452ec83f0b9baa9413fcc251c1a05ca423264efd2a8930e44e40debea5c3fa24","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2010-05-17T02:38:03Z","title_canon_sha256":"a3441b15c1a8ba46f423b1f2c90b74a62a678f0eba45c321e4bb0e8c7851f7c3"},"schema_version":"1.0","source":{"id":"1005.2799","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1005.2799","created_at":"2026-05-18T02:07:18Z"},{"alias_kind":"arxiv_version","alias_value":"1005.2799v1","created_at":"2026-05-18T02:07:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1005.2799","created_at":"2026-05-18T02:07:18Z"},{"alias_kind":"pith_short_12","alias_value":"JQCCWGCU7ISQ","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_16","alias_value":"JQCCWGCU7ISQQSG4","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_8","alias_value":"JQCCWGCU","created_at":"2026-05-18T12:26:09Z"}],"graph_snapshots":[{"event_id":"sha256:d52b5bd1e077adf50c97cca5a1637b9131e0fda1f383fc6ed71afbcb21fa1951","target":"graph","created_at":"2026-05-18T02:07:18Z","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":"It is shown that the synchronization behavior of a system of chaotic maps subject to either an external forcing or a coupling function of their internal variables can be inferred from the behavior of a single element in the system, which can be seen as a single drive-response map. From the conditions for stable synchronization in this single driven-map model with minimal ingredients, we find minimal conditions for the emergence of complete and generalized chaos synchronization in both driven and autonomous associated systems. Our results show that the presence of a common drive or a coupling f","authors_text":"G. Paredes, M. G. Cosenza, O. Alvarez-Llamoza","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2010-05-17T02:38:03Z","title":"Equivalent synchronization of chaos in driven and in autonomous systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1005.2799","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":"sha256:2b796109c19c73ab9d14970213451cae632be0e93302089283364d711dbf4fb1","target":"record","created_at":"2026-05-18T02:07:18Z","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":"452ec83f0b9baa9413fcc251c1a05ca423264efd2a8930e44e40debea5c3fa24","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2010-05-17T02:38:03Z","title_canon_sha256":"a3441b15c1a8ba46f423b1f2c90b74a62a678f0eba45c321e4bb0e8c7851f7c3"},"schema_version":"1.0","source":{"id":"1005.2799","kind":"arxiv","version":1}},"canonical_sha256":"4c042b1854fa250848dc4456f23d28c94bc6994b12838507f400bf5383080f8c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4c042b1854fa250848dc4456f23d28c94bc6994b12838507f400bf5383080f8c","first_computed_at":"2026-05-18T02:07:18.459559Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:07:18.459559Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8v2DM8S/mHpABv0+MuGrS7BEppCnG9KmpicVCzjCYQwNtb9JBGfka0RKn6POSt/uZBAPP4uWEPvWahx9xBGcBg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:07:18.460098Z","signed_message":"canonical_sha256_bytes"},"source_id":"1005.2799","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2b796109c19c73ab9d14970213451cae632be0e93302089283364d711dbf4fb1","sha256:d52b5bd1e077adf50c97cca5a1637b9131e0fda1f383fc6ed71afbcb21fa1951"],"state_sha256":"744219071bd0a89fd348911038f09fa2d803b0bab9828bc7fb13c86ccad77bd7"}