{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:AJO552YI7GDHJZZFLOHULA36VC","short_pith_number":"pith:AJO552YI","canonical_record":{"source":{"id":"1403.0041","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2014-03-01T02:47:43Z","cross_cats_sorted":["cs.SI","physics.soc-ph"],"title_canon_sha256":"3d3b2f4e1d8dfc6aa1633103d0c39009e1f9c865cb4e04f268b7e2ea9ad5f6cc","abstract_canon_sha256":"cc1cd2fca0afaf58dda5dc6af823ca810eaf8c9c6e3b05f602dbc7fb86a4ca58"},"schema_version":"1.0"},"canonical_sha256":"025ddeeb08f98674e7255b8f45837ea8b465d00f3d8e1ed89ccb6e630f929ce8","source":{"kind":"arxiv","id":"1403.0041","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.0041","created_at":"2026-05-18T02:46:04Z"},{"alias_kind":"arxiv_version","alias_value":"1403.0041v2","created_at":"2026-05-18T02:46:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.0041","created_at":"2026-05-18T02:46:04Z"},{"alias_kind":"pith_short_12","alias_value":"AJO552YI7GDH","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_16","alias_value":"AJO552YI7GDHJZZF","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_8","alias_value":"AJO552YI","created_at":"2026-05-18T12:28:19Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:AJO552YI7GDHJZZFLOHULA36VC","target":"record","payload":{"canonical_record":{"source":{"id":"1403.0041","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2014-03-01T02:47:43Z","cross_cats_sorted":["cs.SI","physics.soc-ph"],"title_canon_sha256":"3d3b2f4e1d8dfc6aa1633103d0c39009e1f9c865cb4e04f268b7e2ea9ad5f6cc","abstract_canon_sha256":"cc1cd2fca0afaf58dda5dc6af823ca810eaf8c9c6e3b05f602dbc7fb86a4ca58"},"schema_version":"1.0"},"canonical_sha256":"025ddeeb08f98674e7255b8f45837ea8b465d00f3d8e1ed89ccb6e630f929ce8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:46:04.406975Z","signature_b64":"Ic9Ki37J0f9061/snCBYAPEXuBpnI+JwtvhghLswU7odANvXcuZ7UgESw47hj3WyC/0/wDVIf2dHJwQQb4bSBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"025ddeeb08f98674e7255b8f45837ea8b465d00f3d8e1ed89ccb6e630f929ce8","last_reissued_at":"2026-05-18T02:46:04.406463Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:46:04.406463Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1403.0041","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:46:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"H5qbtMx8fctdlICnZSa/MBzdiXHaXL2Vg06CMXtLlN5WqMrBbFfmDOpjEFyjp2UZb7Phbadc1RUbL3GIwojpBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T10:41:13.843290Z"},"content_sha256":"a62f48a9a64c2dbf2f610800afe091d88d216cebe1fc218ba1765ef85894eb5b","schema_version":"1.0","event_id":"sha256:a62f48a9a64c2dbf2f610800afe091d88d216cebe1fc218ba1765ef85894eb5b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:AJO552YI7GDHJZZFLOHULA36VC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Individual dynamics induces symmetry in network controllability","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.SI","physics.soc-ph"],"primary_cat":"math.OC","authors_text":"Chen Zhao, Jean-Jacques Slotine, Wen-Xu Wang, Yang-Yu Liu","submitted_at":"2014-03-01T02:47:43Z","abstract_excerpt":"Controlling complex networked systems to a desired state is a key research goal in contemporary science. Despite recent advances in studying the impact of network topology on controllability, a comprehensive understanding of the synergistic effect of network topology and individual dynamics on controllability is still lacking. Here we offer a theoretical study with particular interest in the diversity of dynamic units characterized by different types of individual dynamics. Interestingly, we find a global symmetry accounting for the invariance of controllability with respect to exchanging the "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.0041","kind":"arxiv","version":2},"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":"2026-05-18T02:46:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MyuNwS03ThPKMAQXzMkV8si2NRdVPf3EW4XpwuRTf+0CXbq7CPtSSllsbO3YuG3OXn5p7iIU9m0m/JJDtb2BDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T10:41:13.843666Z"},"content_sha256":"46bd6ee4a8cc92b88b2acf10b9cf66514420f4c4b56c0d8d1f1ed6485bee06b9","schema_version":"1.0","event_id":"sha256:46bd6ee4a8cc92b88b2acf10b9cf66514420f4c4b56c0d8d1f1ed6485bee06b9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/AJO552YI7GDHJZZFLOHULA36VC/bundle.json","state_url":"https://pith.science/pith/AJO552YI7GDHJZZFLOHULA36VC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/AJO552YI7GDHJZZFLOHULA36VC/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":"2026-06-01T10:41:13Z","links":{"resolver":"https://pith.science/pith/AJO552YI7GDHJZZFLOHULA36VC","bundle":"https://pith.science/pith/AJO552YI7GDHJZZFLOHULA36VC/bundle.json","state":"https://pith.science/pith/AJO552YI7GDHJZZFLOHULA36VC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/AJO552YI7GDHJZZFLOHULA36VC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:AJO552YI7GDHJZZFLOHULA36VC","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":"cc1cd2fca0afaf58dda5dc6af823ca810eaf8c9c6e3b05f602dbc7fb86a4ca58","cross_cats_sorted":["cs.SI","physics.soc-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2014-03-01T02:47:43Z","title_canon_sha256":"3d3b2f4e1d8dfc6aa1633103d0c39009e1f9c865cb4e04f268b7e2ea9ad5f6cc"},"schema_version":"1.0","source":{"id":"1403.0041","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.0041","created_at":"2026-05-18T02:46:04Z"},{"alias_kind":"arxiv_version","alias_value":"1403.0041v2","created_at":"2026-05-18T02:46:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.0041","created_at":"2026-05-18T02:46:04Z"},{"alias_kind":"pith_short_12","alias_value":"AJO552YI7GDH","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_16","alias_value":"AJO552YI7GDHJZZF","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_8","alias_value":"AJO552YI","created_at":"2026-05-18T12:28:19Z"}],"graph_snapshots":[{"event_id":"sha256:46bd6ee4a8cc92b88b2acf10b9cf66514420f4c4b56c0d8d1f1ed6485bee06b9","target":"graph","created_at":"2026-05-18T02:46:04Z","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":"Controlling complex networked systems to a desired state is a key research goal in contemporary science. Despite recent advances in studying the impact of network topology on controllability, a comprehensive understanding of the synergistic effect of network topology and individual dynamics on controllability is still lacking. Here we offer a theoretical study with particular interest in the diversity of dynamic units characterized by different types of individual dynamics. Interestingly, we find a global symmetry accounting for the invariance of controllability with respect to exchanging the ","authors_text":"Chen Zhao, Jean-Jacques Slotine, Wen-Xu Wang, Yang-Yu Liu","cross_cats":["cs.SI","physics.soc-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2014-03-01T02:47:43Z","title":"Individual dynamics induces symmetry in network controllability"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.0041","kind":"arxiv","version":2},"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:a62f48a9a64c2dbf2f610800afe091d88d216cebe1fc218ba1765ef85894eb5b","target":"record","created_at":"2026-05-18T02:46:04Z","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":"cc1cd2fca0afaf58dda5dc6af823ca810eaf8c9c6e3b05f602dbc7fb86a4ca58","cross_cats_sorted":["cs.SI","physics.soc-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2014-03-01T02:47:43Z","title_canon_sha256":"3d3b2f4e1d8dfc6aa1633103d0c39009e1f9c865cb4e04f268b7e2ea9ad5f6cc"},"schema_version":"1.0","source":{"id":"1403.0041","kind":"arxiv","version":2}},"canonical_sha256":"025ddeeb08f98674e7255b8f45837ea8b465d00f3d8e1ed89ccb6e630f929ce8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"025ddeeb08f98674e7255b8f45837ea8b465d00f3d8e1ed89ccb6e630f929ce8","first_computed_at":"2026-05-18T02:46:04.406463Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:46:04.406463Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Ic9Ki37J0f9061/snCBYAPEXuBpnI+JwtvhghLswU7odANvXcuZ7UgESw47hj3WyC/0/wDVIf2dHJwQQb4bSBA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:46:04.406975Z","signed_message":"canonical_sha256_bytes"},"source_id":"1403.0041","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a62f48a9a64c2dbf2f610800afe091d88d216cebe1fc218ba1765ef85894eb5b","sha256:46bd6ee4a8cc92b88b2acf10b9cf66514420f4c4b56c0d8d1f1ed6485bee06b9"],"state_sha256":"63edc6f887dcff662b3eeae5aba2eb69733aae127b7c6470d5ab0e9a9c34fb74"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pU/k1DS4UIRWjWlU38j3aWbOxKsyZNlv6LKea59c9QrKFfRkBipjtwTUodkLbstw21uv+icL8DxABLd1yHmwDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T10:41:13.845870Z","bundle_sha256":"f9fa8e983ed54a8776a38894be134702dce3c2d50a96f3a82b95bca8bfcfe946"}}