{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:YYKYMEKCLUDQRA5EWEVBHSJSQI","short_pith_number":"pith:YYKYMEKC","schema_version":"1.0","canonical_sha256":"c6158611425d070883a4b12a13c932821fa9cf0ab569af7129da45fa49648a61","source":{"kind":"arxiv","id":"1108.5739","version":1},"attestation_state":"computed","paper":{"title":"Comment on \"Controllability of Complex Networks with Nonlinear Dynamics\"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nlin.CD","physics.data-an","physics.soc-ph"],"primary_cat":"cond-mat.dis-nn","authors_text":"Adilson E. Motter, Jie Sun, Sean P. Cornelius, William L. Kath","submitted_at":"2011-08-29T20:01:08Z","abstract_excerpt":"The recent paper by W.-X. Wang, Y.-C. Lai, J. Ren, B. Li & C. Grebogi [arXiv:1107.2177v1] proposed a method for the control of complex networks with nonlinear dynamics based on linearizing the system around a finite number of local desired states. The authors purport that any bidirectional network with one-dimensional intrinsic node dynamics can be fully controlled by a single driver node, which can be any node in the network, regardless of the network topology. According to this result, a network with an arbitrarily large number of nodes (a million, a billion, or even more) could be controlle"},"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":"1108.5739","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2011-08-29T20:01:08Z","cross_cats_sorted":["nlin.CD","physics.data-an","physics.soc-ph"],"title_canon_sha256":"b53e8d5b8d68fd24793dc180312c1e091fa5c9ba914852d1bd00e7ead5d0e272","abstract_canon_sha256":"62e8c2218d359ce95aa1276319d725fc540ca58d56981d6da80f4b403ffbce4c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:14:27.181460Z","signature_b64":"PRn++gsNU1sd6SL6WDZ7R37SlTcDK8H3W8/k8StzUB80Dm3z6rcigwLCviaXIEzlv8twK8aswXkEi2CStvHADA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c6158611425d070883a4b12a13c932821fa9cf0ab569af7129da45fa49648a61","last_reissued_at":"2026-05-18T04:14:27.180722Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:14:27.180722Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Comment on \"Controllability of Complex Networks with Nonlinear Dynamics\"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nlin.CD","physics.data-an","physics.soc-ph"],"primary_cat":"cond-mat.dis-nn","authors_text":"Adilson E. Motter, Jie Sun, Sean P. Cornelius, William L. Kath","submitted_at":"2011-08-29T20:01:08Z","abstract_excerpt":"The recent paper by W.-X. Wang, Y.-C. Lai, J. Ren, B. Li & C. Grebogi [arXiv:1107.2177v1] proposed a method for the control of complex networks with nonlinear dynamics based on linearizing the system around a finite number of local desired states. The authors purport that any bidirectional network with one-dimensional intrinsic node dynamics can be fully controlled by a single driver node, which can be any node in the network, regardless of the network topology. According to this result, a network with an arbitrarily large number of nodes (a million, a billion, or even more) could be controlle"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1108.5739","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":"1108.5739","created_at":"2026-05-18T04:14:27.180822+00:00"},{"alias_kind":"arxiv_version","alias_value":"1108.5739v1","created_at":"2026-05-18T04:14:27.180822+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1108.5739","created_at":"2026-05-18T04:14:27.180822+00:00"},{"alias_kind":"pith_short_12","alias_value":"YYKYMEKCLUDQ","created_at":"2026-05-18T12:26:47.523578+00:00"},{"alias_kind":"pith_short_16","alias_value":"YYKYMEKCLUDQRA5E","created_at":"2026-05-18T12:26:47.523578+00:00"},{"alias_kind":"pith_short_8","alias_value":"YYKYMEKC","created_at":"2026-05-18T12:26:47.523578+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/YYKYMEKCLUDQRA5EWEVBHSJSQI","json":"https://pith.science/pith/YYKYMEKCLUDQRA5EWEVBHSJSQI.json","graph_json":"https://pith.science/api/pith-number/YYKYMEKCLUDQRA5EWEVBHSJSQI/graph.json","events_json":"https://pith.science/api/pith-number/YYKYMEKCLUDQRA5EWEVBHSJSQI/events.json","paper":"https://pith.science/paper/YYKYMEKC"},"agent_actions":{"view_html":"https://pith.science/pith/YYKYMEKCLUDQRA5EWEVBHSJSQI","download_json":"https://pith.science/pith/YYKYMEKCLUDQRA5EWEVBHSJSQI.json","view_paper":"https://pith.science/paper/YYKYMEKC","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1108.5739&json=true","fetch_graph":"https://pith.science/api/pith-number/YYKYMEKCLUDQRA5EWEVBHSJSQI/graph.json","fetch_events":"https://pith.science/api/pith-number/YYKYMEKCLUDQRA5EWEVBHSJSQI/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/YYKYMEKCLUDQRA5EWEVBHSJSQI/action/timestamp_anchor","attest_storage":"https://pith.science/pith/YYKYMEKCLUDQRA5EWEVBHSJSQI/action/storage_attestation","attest_author":"https://pith.science/pith/YYKYMEKCLUDQRA5EWEVBHSJSQI/action/author_attestation","sign_citation":"https://pith.science/pith/YYKYMEKCLUDQRA5EWEVBHSJSQI/action/citation_signature","submit_replication":"https://pith.science/pith/YYKYMEKCLUDQRA5EWEVBHSJSQI/action/replication_record"}},"created_at":"2026-05-18T04:14:27.180822+00:00","updated_at":"2026-05-18T04:14:27.180822+00:00"}