{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:R6ABRMJHBSRE5I5LH3UT2N7F6R","short_pith_number":"pith:R6ABRMJH","schema_version":"1.0","canonical_sha256":"8f8018b1270ca24ea3ab3ee93d37e5f474083630616b69731a739d3494c744e9","source":{"kind":"arxiv","id":"1511.00892","version":1},"attestation_state":"computed","paper":{"title":"Controlling synchronous patterns in complex networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.CD","authors_text":"Heping Ying, Huawei Fan, Weijie Lin, Xingang Wang, Ying Wang","submitted_at":"2015-11-03T12:55:47Z","abstract_excerpt":"Although the set of permutation symmetries of a complex network can be very large, few of the symmetries give rise to stable synchronous patterns. Here we present a new framework and develop techniques for controlling synchronization patterns in complex network of coupled chaotic oscillators. Specifically, according to the network permutation symmetry, we design a small-size and weighted network, namely the control network, and use it to control the large-size complex network by means of pinning coupling. We argue mathematically that for \\emph{any} of the network symmetries, there always exist"},"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":"1511.00892","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2015-11-03T12:55:47Z","cross_cats_sorted":[],"title_canon_sha256":"7a4c48be7d7c24bb753c0e92a7133eaa78384b13dbcd85ef69dfcda873f96f66","abstract_canon_sha256":"dd0b0109551f6218436adaaa795e006f540bcaf9d67134127479bdacf9e0e064"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:15:52.102407Z","signature_b64":"MCM+3eLpDBPbVbAaWEmuxwnnDG5pwI1Dn2hjgCzhuc/92qv6CoXYqGROEPUTKPn9zUu2n8XWrVtjJqzI+nsiAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8f8018b1270ca24ea3ab3ee93d37e5f474083630616b69731a739d3494c744e9","last_reissued_at":"2026-05-18T01:15:52.101992Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:15:52.101992Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Controlling synchronous patterns in complex networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.CD","authors_text":"Heping Ying, Huawei Fan, Weijie Lin, Xingang Wang, Ying Wang","submitted_at":"2015-11-03T12:55:47Z","abstract_excerpt":"Although the set of permutation symmetries of a complex network can be very large, few of the symmetries give rise to stable synchronous patterns. Here we present a new framework and develop techniques for controlling synchronization patterns in complex network of coupled chaotic oscillators. Specifically, according to the network permutation symmetry, we design a small-size and weighted network, namely the control network, and use it to control the large-size complex network by means of pinning coupling. We argue mathematically that for \\emph{any} of the network symmetries, there always exist"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.00892","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1511.00892","created_at":"2026-05-18T01:15:52.102056+00:00"},{"alias_kind":"arxiv_version","alias_value":"1511.00892v1","created_at":"2026-05-18T01:15:52.102056+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1511.00892","created_at":"2026-05-18T01:15:52.102056+00:00"},{"alias_kind":"pith_short_12","alias_value":"R6ABRMJHBSRE","created_at":"2026-05-18T12:29:39.896362+00:00"},{"alias_kind":"pith_short_16","alias_value":"R6ABRMJHBSRE5I5L","created_at":"2026-05-18T12:29:39.896362+00:00"},{"alias_kind":"pith_short_8","alias_value":"R6ABRMJH","created_at":"2026-05-18T12:29:39.896362+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/R6ABRMJHBSRE5I5LH3UT2N7F6R","json":"https://pith.science/pith/R6ABRMJHBSRE5I5LH3UT2N7F6R.json","graph_json":"https://pith.science/api/pith-number/R6ABRMJHBSRE5I5LH3UT2N7F6R/graph.json","events_json":"https://pith.science/api/pith-number/R6ABRMJHBSRE5I5LH3UT2N7F6R/events.json","paper":"https://pith.science/paper/R6ABRMJH"},"agent_actions":{"view_html":"https://pith.science/pith/R6ABRMJHBSRE5I5LH3UT2N7F6R","download_json":"https://pith.science/pith/R6ABRMJHBSRE5I5LH3UT2N7F6R.json","view_paper":"https://pith.science/paper/R6ABRMJH","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1511.00892&json=true","fetch_graph":"https://pith.science/api/pith-number/R6ABRMJHBSRE5I5LH3UT2N7F6R/graph.json","fetch_events":"https://pith.science/api/pith-number/R6ABRMJHBSRE5I5LH3UT2N7F6R/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/R6ABRMJHBSRE5I5LH3UT2N7F6R/action/timestamp_anchor","attest_storage":"https://pith.science/pith/R6ABRMJHBSRE5I5LH3UT2N7F6R/action/storage_attestation","attest_author":"https://pith.science/pith/R6ABRMJHBSRE5I5LH3UT2N7F6R/action/author_attestation","sign_citation":"https://pith.science/pith/R6ABRMJHBSRE5I5LH3UT2N7F6R/action/citation_signature","submit_replication":"https://pith.science/pith/R6ABRMJHBSRE5I5LH3UT2N7F6R/action/replication_record"}},"created_at":"2026-05-18T01:15:52.102056+00:00","updated_at":"2026-05-18T01:15:52.102056+00:00"}