{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:6JB5E5DMAROJHFPF7PL5MPSHTO","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":"4ab8b19e35ecd3be6898d6816447f21c2d7c6f1e36080d7fb8a3826e1d03f9eb","cross_cats_sorted":["physics.soc-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SI","submitted_at":"2017-07-03T03:08:17Z","title_canon_sha256":"3312dac3f2c8257dadf3ef14f6b4c56cf180d537310a49521f3ff4fe4f3fd06a"},"schema_version":"1.0","source":{"id":"1707.00386","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1707.00386","created_at":"2026-05-18T00:16:45Z"},{"alias_kind":"arxiv_version","alias_value":"1707.00386v2","created_at":"2026-05-18T00:16:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.00386","created_at":"2026-05-18T00:16:45Z"},{"alias_kind":"pith_short_12","alias_value":"6JB5E5DMAROJ","created_at":"2026-05-18T12:31:03Z"},{"alias_kind":"pith_short_16","alias_value":"6JB5E5DMAROJHFPF","created_at":"2026-05-18T12:31:03Z"},{"alias_kind":"pith_short_8","alias_value":"6JB5E5DM","created_at":"2026-05-18T12:31:03Z"}],"graph_snapshots":[{"event_id":"sha256:3502ffbdd8b4da319b2d569234530a4113c7fa17788810eaa186aadb6287c362","target":"graph","created_at":"2026-05-18T00:16:45Z","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":"When analyzing the statistical and topological characteristics of complex networks, an effective and convenient way is to compute the centralities for recognizing influential and significant nodes or structures, yet most of them are restricted to local environment or some specific configurations. In this paper we propose a new centrality for nodes based on the von Neumann entropy, which allows us to investigate the importance of nodes in the view of spectrum eigenvalues distribution. By presenting the performances of this centrality with network examples in reality, it is shown that the von Ne","authors_text":"Jiannan Wang, Wei Wei, Xiangnan Feng, Ying Shi, Zhiming Zheng","cross_cats":["physics.soc-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SI","submitted_at":"2017-07-03T03:08:17Z","title":"Exploring the Node Importance Based on von Neumann Entropy"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.00386","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":"sha256:539b4fb9439df4b5ed6ef2a864569d0c6bde7a0e4d70f86bfc75ef6f87142db4","target":"record","created_at":"2026-05-18T00:16:45Z","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":"4ab8b19e35ecd3be6898d6816447f21c2d7c6f1e36080d7fb8a3826e1d03f9eb","cross_cats_sorted":["physics.soc-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SI","submitted_at":"2017-07-03T03:08:17Z","title_canon_sha256":"3312dac3f2c8257dadf3ef14f6b4c56cf180d537310a49521f3ff4fe4f3fd06a"},"schema_version":"1.0","source":{"id":"1707.00386","kind":"arxiv","version":2}},"canonical_sha256":"f243d2746c045c9395e5fbd7d63e479b895cddec2bd429eae77a94640471fe15","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f243d2746c045c9395e5fbd7d63e479b895cddec2bd429eae77a94640471fe15","first_computed_at":"2026-05-18T00:16:45.220122Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:16:45.220122Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7O868HaaTd8Popa1bMJUquBq83uJN+SSLwzQXEAF8HvwkWNtnUFMhYxFvyVNkbztGXimotzXmL/+bxs+pSKNAw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:16:45.220613Z","signed_message":"canonical_sha256_bytes"},"source_id":"1707.00386","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:539b4fb9439df4b5ed6ef2a864569d0c6bde7a0e4d70f86bfc75ef6f87142db4","sha256:3502ffbdd8b4da319b2d569234530a4113c7fa17788810eaa186aadb6287c362"],"state_sha256":"f616e7686ff075e3335f498187083c975164cbe6bfc3ba03b470073a2462a087"}