{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:VF4I5IAQXGPNPLOQH5Y4YZZAVE","short_pith_number":"pith:VF4I5IAQ","canonical_record":{"source":{"id":"1502.05830","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2015-02-20T11:15:23Z","cross_cats_sorted":[],"title_canon_sha256":"bf8775bafc1939465747bae0c29b798d50c8157054a44d20921a472d1cf2c56c","abstract_canon_sha256":"f8a4a896f363a7e726b3701415ca262830b0ec16e91120d156aa6c6fde2c1731"},"schema_version":"1.0"},"canonical_sha256":"a9788ea010b99ed7add03f71cc6720a91570cf7f25131080ea11b3e1c7296175","source":{"kind":"arxiv","id":"1502.05830","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1502.05830","created_at":"2026-05-18T02:26:44Z"},{"alias_kind":"arxiv_version","alias_value":"1502.05830v1","created_at":"2026-05-18T02:26:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.05830","created_at":"2026-05-18T02:26:44Z"},{"alias_kind":"pith_short_12","alias_value":"VF4I5IAQXGPN","created_at":"2026-05-18T12:29:44Z"},{"alias_kind":"pith_short_16","alias_value":"VF4I5IAQXGPNPLOQ","created_at":"2026-05-18T12:29:44Z"},{"alias_kind":"pith_short_8","alias_value":"VF4I5IAQ","created_at":"2026-05-18T12:29:44Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:VF4I5IAQXGPNPLOQH5Y4YZZAVE","target":"record","payload":{"canonical_record":{"source":{"id":"1502.05830","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2015-02-20T11:15:23Z","cross_cats_sorted":[],"title_canon_sha256":"bf8775bafc1939465747bae0c29b798d50c8157054a44d20921a472d1cf2c56c","abstract_canon_sha256":"f8a4a896f363a7e726b3701415ca262830b0ec16e91120d156aa6c6fde2c1731"},"schema_version":"1.0"},"canonical_sha256":"a9788ea010b99ed7add03f71cc6720a91570cf7f25131080ea11b3e1c7296175","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:26:44.669611Z","signature_b64":"C4A0zIKCeOb5bvfKquoKGI/8M+InXGcKa4NoDKdKX7pcki0s3sTbLgh0T4y35W9XvxvU+yAdBzg3cpU0fjPSAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a9788ea010b99ed7add03f71cc6720a91570cf7f25131080ea11b3e1c7296175","last_reissued_at":"2026-05-18T02:26:44.669150Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:26:44.669150Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1502.05830","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:26:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fYNbws4tRcKpNAcSLUZENCdCA8gfCfU9B6+dBzQt/NgNa4rdrTY39BpLHq0hnHtaOCYYBuC8AH2r6St/ndgJDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T16:17:43.667019Z"},"content_sha256":"8a51334040f0a38c54843532d57e577b0a15d94b7ba8e39d69615b40cfab84cd","schema_version":"1.0","event_id":"sha256:8a51334040f0a38c54843532d57e577b0a15d94b7ba8e39d69615b40cfab84cd"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:VF4I5IAQXGPNPLOQH5Y4YZZAVE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Impact of leader on cluster synchronization","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.CD","authors_text":"Aradhana Singh, J. Kurths, Sarika Jalan, Suman Acharya","submitted_at":"2015-02-20T11:15:23Z","abstract_excerpt":"We study the mechanisms of frequency synchronized cluster formation in coupled non-identical oscillators and investigate the impact of presence of a leader on the cluster synchronization. We find that the introduction of a leader, node having large parameter mismatch, induces a profound change in the cluster pattern as well as in the mechanism of the cluster formation. The emergence of a leader generates a transition from the driven to the mixed cluster state. The frequency mismatch turns out to be responsible for this transition. Additionally, for a chaotic evolution, the driven mechanism sta"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.05830","kind":"arxiv","version":1},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:26:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4kVup+qrkLlcvojbbNSZL26IN21XJ2j9ZOOKOHs55QnZa/0j09GFBJvOoXFO/WpFyMKIrcr00AVZx9NhiArfBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T16:17:43.667378Z"},"content_sha256":"1653d301afe6bcc2e7103132266821429f980e4d344d254553763db1dd56c424","schema_version":"1.0","event_id":"sha256:1653d301afe6bcc2e7103132266821429f980e4d344d254553763db1dd56c424"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VF4I5IAQXGPNPLOQH5Y4YZZAVE/bundle.json","state_url":"https://pith.science/pith/VF4I5IAQXGPNPLOQH5Y4YZZAVE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VF4I5IAQXGPNPLOQH5Y4YZZAVE/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-03T16:17:43Z","links":{"resolver":"https://pith.science/pith/VF4I5IAQXGPNPLOQH5Y4YZZAVE","bundle":"https://pith.science/pith/VF4I5IAQXGPNPLOQH5Y4YZZAVE/bundle.json","state":"https://pith.science/pith/VF4I5IAQXGPNPLOQH5Y4YZZAVE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VF4I5IAQXGPNPLOQH5Y4YZZAVE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:VF4I5IAQXGPNPLOQH5Y4YZZAVE","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":"f8a4a896f363a7e726b3701415ca262830b0ec16e91120d156aa6c6fde2c1731","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2015-02-20T11:15:23Z","title_canon_sha256":"bf8775bafc1939465747bae0c29b798d50c8157054a44d20921a472d1cf2c56c"},"schema_version":"1.0","source":{"id":"1502.05830","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1502.05830","created_at":"2026-05-18T02:26:44Z"},{"alias_kind":"arxiv_version","alias_value":"1502.05830v1","created_at":"2026-05-18T02:26:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.05830","created_at":"2026-05-18T02:26:44Z"},{"alias_kind":"pith_short_12","alias_value":"VF4I5IAQXGPN","created_at":"2026-05-18T12:29:44Z"},{"alias_kind":"pith_short_16","alias_value":"VF4I5IAQXGPNPLOQ","created_at":"2026-05-18T12:29:44Z"},{"alias_kind":"pith_short_8","alias_value":"VF4I5IAQ","created_at":"2026-05-18T12:29:44Z"}],"graph_snapshots":[{"event_id":"sha256:1653d301afe6bcc2e7103132266821429f980e4d344d254553763db1dd56c424","target":"graph","created_at":"2026-05-18T02:26:44Z","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 mechanisms of frequency synchronized cluster formation in coupled non-identical oscillators and investigate the impact of presence of a leader on the cluster synchronization. We find that the introduction of a leader, node having large parameter mismatch, induces a profound change in the cluster pattern as well as in the mechanism of the cluster formation. The emergence of a leader generates a transition from the driven to the mixed cluster state. The frequency mismatch turns out to be responsible for this transition. Additionally, for a chaotic evolution, the driven mechanism sta","authors_text":"Aradhana Singh, J. Kurths, Sarika Jalan, Suman Acharya","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2015-02-20T11:15:23Z","title":"Impact of leader on cluster synchronization"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.05830","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":"sha256:8a51334040f0a38c54843532d57e577b0a15d94b7ba8e39d69615b40cfab84cd","target":"record","created_at":"2026-05-18T02:26:44Z","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":"f8a4a896f363a7e726b3701415ca262830b0ec16e91120d156aa6c6fde2c1731","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2015-02-20T11:15:23Z","title_canon_sha256":"bf8775bafc1939465747bae0c29b798d50c8157054a44d20921a472d1cf2c56c"},"schema_version":"1.0","source":{"id":"1502.05830","kind":"arxiv","version":1}},"canonical_sha256":"a9788ea010b99ed7add03f71cc6720a91570cf7f25131080ea11b3e1c7296175","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a9788ea010b99ed7add03f71cc6720a91570cf7f25131080ea11b3e1c7296175","first_computed_at":"2026-05-18T02:26:44.669150Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:26:44.669150Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"C4A0zIKCeOb5bvfKquoKGI/8M+InXGcKa4NoDKdKX7pcki0s3sTbLgh0T4y35W9XvxvU+yAdBzg3cpU0fjPSAw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:26:44.669611Z","signed_message":"canonical_sha256_bytes"},"source_id":"1502.05830","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8a51334040f0a38c54843532d57e577b0a15d94b7ba8e39d69615b40cfab84cd","sha256:1653d301afe6bcc2e7103132266821429f980e4d344d254553763db1dd56c424"],"state_sha256":"0cdf4a2d8362cedf86ffe2de4738caa68dfb77d82fab0da939dbe2b5b458cc5d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HBEo6ZDPHBn0gCm5BqdARBmm8kujQC5N5+ZHIcmugCj4eDh1hJBDsi9NtLahMISBGsDPDpkHN4QW45tR/8trDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T16:17:43.669331Z","bundle_sha256":"ee9ccce3ff66316ed9a09f126ce58d498370a93638be68aba7a2d9f203220125"}}