{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:OWF7N7EZ23VHPUIFLTIETVDPG3","short_pith_number":"pith:OWF7N7EZ","schema_version":"1.0","canonical_sha256":"758bf6fc99d6ea77d1055cd049d46f36ccbd94600b8fe866be8df8149831466d","source":{"kind":"arxiv","id":"1603.07660","version":5},"attestation_state":"computed","paper":{"title":"Energy Scaling of Targeted Optimal Control of Complex Networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.soc-ph"],"primary_cat":"cs.SY","authors_text":"Afroza Shirin, Francesco Sorrentino, Isaac S. Klickstein","submitted_at":"2016-03-23T00:47:54Z","abstract_excerpt":"Recently it has been shown that the control energy required to control a dynamical complex network is prohibitively large when there are only a few control inputs. Most methods to reduce the control energy have focused on where, in the network, to place additional control inputs. Here, in contrast, we show that by controlling the states of a subset of the nodes of a network, rather than the state of every node, while holding the number of control signals constant, the required energy to control a portion of the network can be reduced substantially. The energy requirements exponentially decay w"},"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":"1603.07660","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2016-03-23T00:47:54Z","cross_cats_sorted":["physics.soc-ph"],"title_canon_sha256":"c8c04a8215d7fae3c18e58af11e67235bfa996c53aee35112930e34a2843144d","abstract_canon_sha256":"f4abc6e345a774e009adb5fb234a2a309a8c6f22d2dd27b0384d70b1d3937a0d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:44:01.340476Z","signature_b64":"5tPg06PYNuEFQLqr4s870Vmr00e51QvPlINtTlupWCG6RIcsqIsSxPh4vF/swk9ETFvVS5+MH116LlWoS1nYAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"758bf6fc99d6ea77d1055cd049d46f36ccbd94600b8fe866be8df8149831466d","last_reissued_at":"2026-05-18T00:44:01.339868Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:44:01.339868Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Energy Scaling of Targeted Optimal Control of Complex Networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.soc-ph"],"primary_cat":"cs.SY","authors_text":"Afroza Shirin, Francesco Sorrentino, Isaac S. Klickstein","submitted_at":"2016-03-23T00:47:54Z","abstract_excerpt":"Recently it has been shown that the control energy required to control a dynamical complex network is prohibitively large when there are only a few control inputs. Most methods to reduce the control energy have focused on where, in the network, to place additional control inputs. Here, in contrast, we show that by controlling the states of a subset of the nodes of a network, rather than the state of every node, while holding the number of control signals constant, the required energy to control a portion of the network can be reduced substantially. The energy requirements exponentially decay w"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.07660","kind":"arxiv","version":5},"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":"1603.07660","created_at":"2026-05-18T00:44:01.339950+00:00"},{"alias_kind":"arxiv_version","alias_value":"1603.07660v5","created_at":"2026-05-18T00:44:01.339950+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.07660","created_at":"2026-05-18T00:44:01.339950+00:00"},{"alias_kind":"pith_short_12","alias_value":"OWF7N7EZ23VH","created_at":"2026-05-18T12:30:36.002864+00:00"},{"alias_kind":"pith_short_16","alias_value":"OWF7N7EZ23VHPUIF","created_at":"2026-05-18T12:30:36.002864+00:00"},{"alias_kind":"pith_short_8","alias_value":"OWF7N7EZ","created_at":"2026-05-18T12:30:36.002864+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/OWF7N7EZ23VHPUIFLTIETVDPG3","json":"https://pith.science/pith/OWF7N7EZ23VHPUIFLTIETVDPG3.json","graph_json":"https://pith.science/api/pith-number/OWF7N7EZ23VHPUIFLTIETVDPG3/graph.json","events_json":"https://pith.science/api/pith-number/OWF7N7EZ23VHPUIFLTIETVDPG3/events.json","paper":"https://pith.science/paper/OWF7N7EZ"},"agent_actions":{"view_html":"https://pith.science/pith/OWF7N7EZ23VHPUIFLTIETVDPG3","download_json":"https://pith.science/pith/OWF7N7EZ23VHPUIFLTIETVDPG3.json","view_paper":"https://pith.science/paper/OWF7N7EZ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1603.07660&json=true","fetch_graph":"https://pith.science/api/pith-number/OWF7N7EZ23VHPUIFLTIETVDPG3/graph.json","fetch_events":"https://pith.science/api/pith-number/OWF7N7EZ23VHPUIFLTIETVDPG3/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/OWF7N7EZ23VHPUIFLTIETVDPG3/action/timestamp_anchor","attest_storage":"https://pith.science/pith/OWF7N7EZ23VHPUIFLTIETVDPG3/action/storage_attestation","attest_author":"https://pith.science/pith/OWF7N7EZ23VHPUIFLTIETVDPG3/action/author_attestation","sign_citation":"https://pith.science/pith/OWF7N7EZ23VHPUIFLTIETVDPG3/action/citation_signature","submit_replication":"https://pith.science/pith/OWF7N7EZ23VHPUIFLTIETVDPG3/action/replication_record"}},"created_at":"2026-05-18T00:44:01.339950+00:00","updated_at":"2026-05-18T00:44:01.339950+00:00"}