{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:364KRSV6KCHOQKPVBTJOVHZQXT","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":"1505020d2a6acad120f5a37076d24a4c5e534cd8dc98c16e2cdbb68f767201a6","cross_cats_sorted":["cond-mat.stat-mech","physics.soc-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SI","submitted_at":"2014-01-20T21:22:40Z","title_canon_sha256":"030a14fae3557f8943bbd5a56230fb40f947226d7ab20bd48216ee573444cafc"},"schema_version":"1.0","source":{"id":"1401.5093","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1401.5093","created_at":"2026-05-18T02:30:08Z"},{"alias_kind":"arxiv_version","alias_value":"1401.5093v2","created_at":"2026-05-18T02:30:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.5093","created_at":"2026-05-18T02:30:08Z"},{"alias_kind":"pith_short_12","alias_value":"364KRSV6KCHO","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_16","alias_value":"364KRSV6KCHOQKPV","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_8","alias_value":"364KRSV6","created_at":"2026-05-18T12:28:11Z"}],"graph_snapshots":[{"event_id":"sha256:cbc6c113a130ee9a3c273eb5fb837f14b90f8d709e7d865c6edf03bc8290677b","target":"graph","created_at":"2026-05-18T02:30:08Z","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":"Eigenvector centrality is a common measure of the importance of nodes in a network. Here we show that under common conditions the eigenvector centrality displays a localization transition that causes most of the weight of the centrality to concentrate on a small number of nodes in the network. In this regime the measure is no longer useful for distinguishing among the remaining nodes and its efficacy as a network metric is impaired. As a remedy, we propose an alternative centrality measure based on the nonbacktracking matrix, which gives results closely similar to the standard eigenvector cent","authors_text":"M. E. J. Newman, Travis Martin, Xiao Zhang","cross_cats":["cond-mat.stat-mech","physics.soc-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SI","submitted_at":"2014-01-20T21:22:40Z","title":"Localization and centrality in networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.5093","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:cf4be2c0c807d694d56fe1755d6fdc429baac3c19833d6a1dcb30af62fa5c8a8","target":"record","created_at":"2026-05-18T02:30:08Z","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":"1505020d2a6acad120f5a37076d24a4c5e534cd8dc98c16e2cdbb68f767201a6","cross_cats_sorted":["cond-mat.stat-mech","physics.soc-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SI","submitted_at":"2014-01-20T21:22:40Z","title_canon_sha256":"030a14fae3557f8943bbd5a56230fb40f947226d7ab20bd48216ee573444cafc"},"schema_version":"1.0","source":{"id":"1401.5093","kind":"arxiv","version":2}},"canonical_sha256":"dfb8a8cabe508ee829f50cd2ea9f30bcfcff9c66581fb443ed7969c12930eec2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dfb8a8cabe508ee829f50cd2ea9f30bcfcff9c66581fb443ed7969c12930eec2","first_computed_at":"2026-05-18T02:30:08.499891Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:30:08.499891Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"o7RiJncxbSG1VtmtywsA1ECPlREwlTTcWl57ZHbsFyNuFOY0lQnFjoyY3y1nuJemcwR7U192w2xbgfjQ0AtHCw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:30:08.500462Z","signed_message":"canonical_sha256_bytes"},"source_id":"1401.5093","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cf4be2c0c807d694d56fe1755d6fdc429baac3c19833d6a1dcb30af62fa5c8a8","sha256:cbc6c113a130ee9a3c273eb5fb837f14b90f8d709e7d865c6edf03bc8290677b"],"state_sha256":"ef2651cea5b3b967afdcf5a0a5ad4a02a0d143b9fce200c881eafadad815c208"}