{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:24XQNP4B42YGTVHGCQJAXCTYUH","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":"c9ee9229ba073e3b8bab6f1ee57077bc36f2fe14eca86769d9ad9c778279d5a4","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2015-03-31T15:53:49Z","title_canon_sha256":"101527bd7b42dd20ee140b557d0ab958f3af4e297f13f9ed44081712198aa28f"},"schema_version":"1.0","source":{"id":"1503.09100","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1503.09100","created_at":"2026-05-18T01:20:46Z"},{"alias_kind":"arxiv_version","alias_value":"1503.09100v3","created_at":"2026-05-18T01:20:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.09100","created_at":"2026-05-18T01:20:46Z"},{"alias_kind":"pith_short_12","alias_value":"24XQNP4B42YG","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_16","alias_value":"24XQNP4B42YGTVHG","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_8","alias_value":"24XQNP4B","created_at":"2026-05-18T12:28:59Z"}],"graph_snapshots":[{"event_id":"sha256:f34867ab4b31edbc18a61e67ca8a1e060212523578b7e02c57e3a80aafb4a3f3","target":"graph","created_at":"2026-05-18T01:20:46Z","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":"The controllability of a network is a theoretical problem of relevance in a variety of contexts ranging from financial markets to the brain. Until now, network controllability has been characterized only on isolated networks, while the vast majority of complex systems are formed by multilayer networks. Here we build a theoretical framework for the linear controllability of multilayer networks by mapping the problem into a combinatorial matching problem. We found that correlating the external signals in the different layers can significantly reduce the multiplex network robustness to node remov","authors_text":"Ginestra Bianconi, Giulia Menichetti, Luca Dall'Asta","cross_cats":["cond-mat.stat-mech"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2015-03-31T15:53:49Z","title":"Control of Multilayer Networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.09100","kind":"arxiv","version":3},"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":"sha256:7ae511b79ca3d2ee134796cee84486c1face141bb0bf1f26a42e0c781554c78b","target":"record","created_at":"2026-05-18T01:20:46Z","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":"c9ee9229ba073e3b8bab6f1ee57077bc36f2fe14eca86769d9ad9c778279d5a4","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2015-03-31T15:53:49Z","title_canon_sha256":"101527bd7b42dd20ee140b557d0ab958f3af4e297f13f9ed44081712198aa28f"},"schema_version":"1.0","source":{"id":"1503.09100","kind":"arxiv","version":3}},"canonical_sha256":"d72f06bf81e6b069d4e614120b8a78a1ca853b17ab28df3aa5bedd1662110131","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d72f06bf81e6b069d4e614120b8a78a1ca853b17ab28df3aa5bedd1662110131","first_computed_at":"2026-05-18T01:20:46.683446Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:20:46.683446Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"uMTsDYus7OPCfHpnj4rHqu3eYQP7EvL/fT6hwnt52z/0uI3b1r2tGoHoKI8nezfnnmgF2/xHq91QwBhZBRJhDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:20:46.684108Z","signed_message":"canonical_sha256_bytes"},"source_id":"1503.09100","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7ae511b79ca3d2ee134796cee84486c1face141bb0bf1f26a42e0c781554c78b","sha256:f34867ab4b31edbc18a61e67ca8a1e060212523578b7e02c57e3a80aafb4a3f3"],"state_sha256":"341e66fc624d213773ab32a45a6fd14d732123b36d4b79686950fb2b6022b043"}