{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:SHY2ACH6DOAAKCTJXIDM6LSTT5","short_pith_number":"pith:SHY2ACH6","schema_version":"1.0","canonical_sha256":"91f1a008fe1b80050a69ba06cf2e539f76638fd6d4790b98150f5e53dccd8b65","source":{"kind":"arxiv","id":"1010.4247","version":1},"attestation_state":"computed","paper":{"title":"A Parameterized Centrality Metric for Network Analysis","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.CY","physics.soc-ph"],"primary_cat":"cs.SI","authors_text":"Kristina Lerman, Rumi Ghosh","submitted_at":"2010-10-20T17:01:34Z","abstract_excerpt":"A variety of metrics have been proposed to measure the relative importance of nodes in a network. One of these, alpha-centrality [Bonacich, 2001], measures the number of attenuated paths that exist between nodes. We introduce a normalized version of this metric and use it to study network structure, specifically, to rank nodes and find community structure of the network. Specifically, we extend the modularity-maximization method [Newman and Girvan, 2004] for community detection to use this metric as the measure of node connectivity. Normalized alpha-centrality is a powerful tool for network an"},"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":"1010.4247","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SI","submitted_at":"2010-10-20T17:01:34Z","cross_cats_sorted":["cs.CY","physics.soc-ph"],"title_canon_sha256":"cf68014172a94a34440607749ec601ae8fc7c5ef61a3572eef9c6c0b7c6cad7c","abstract_canon_sha256":"8abfed6dea35ed0d0e29c988886afb14c1b79da718aeba2dfd72e8c8078e1c8a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:49:33.062576Z","signature_b64":"Tf97kmS5d8MzLyYGWYrlbTe8jMVWlYzVK7qoxGqqO/eALq1FdG8O2nFhXeU3bPHP441dtEPUpLZukfFprJNqBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"91f1a008fe1b80050a69ba06cf2e539f76638fd6d4790b98150f5e53dccd8b65","last_reissued_at":"2026-05-18T03:49:33.061847Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:49:33.061847Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A Parameterized Centrality Metric for Network Analysis","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.CY","physics.soc-ph"],"primary_cat":"cs.SI","authors_text":"Kristina Lerman, Rumi Ghosh","submitted_at":"2010-10-20T17:01:34Z","abstract_excerpt":"A variety of metrics have been proposed to measure the relative importance of nodes in a network. One of these, alpha-centrality [Bonacich, 2001], measures the number of attenuated paths that exist between nodes. We introduce a normalized version of this metric and use it to study network structure, specifically, to rank nodes and find community structure of the network. Specifically, we extend the modularity-maximization method [Newman and Girvan, 2004] for community detection to use this metric as the measure of node connectivity. Normalized alpha-centrality is a powerful tool for network an"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1010.4247","kind":"arxiv","version":1},"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":"1010.4247","created_at":"2026-05-18T03:49:33.061965+00:00"},{"alias_kind":"arxiv_version","alias_value":"1010.4247v1","created_at":"2026-05-18T03:49:33.061965+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1010.4247","created_at":"2026-05-18T03:49:33.061965+00:00"},{"alias_kind":"pith_short_12","alias_value":"SHY2ACH6DOAA","created_at":"2026-05-18T12:26:13.927090+00:00"},{"alias_kind":"pith_short_16","alias_value":"SHY2ACH6DOAAKCTJ","created_at":"2026-05-18T12:26:13.927090+00:00"},{"alias_kind":"pith_short_8","alias_value":"SHY2ACH6","created_at":"2026-05-18T12:26:13.927090+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/SHY2ACH6DOAAKCTJXIDM6LSTT5","json":"https://pith.science/pith/SHY2ACH6DOAAKCTJXIDM6LSTT5.json","graph_json":"https://pith.science/api/pith-number/SHY2ACH6DOAAKCTJXIDM6LSTT5/graph.json","events_json":"https://pith.science/api/pith-number/SHY2ACH6DOAAKCTJXIDM6LSTT5/events.json","paper":"https://pith.science/paper/SHY2ACH6"},"agent_actions":{"view_html":"https://pith.science/pith/SHY2ACH6DOAAKCTJXIDM6LSTT5","download_json":"https://pith.science/pith/SHY2ACH6DOAAKCTJXIDM6LSTT5.json","view_paper":"https://pith.science/paper/SHY2ACH6","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1010.4247&json=true","fetch_graph":"https://pith.science/api/pith-number/SHY2ACH6DOAAKCTJXIDM6LSTT5/graph.json","fetch_events":"https://pith.science/api/pith-number/SHY2ACH6DOAAKCTJXIDM6LSTT5/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/SHY2ACH6DOAAKCTJXIDM6LSTT5/action/timestamp_anchor","attest_storage":"https://pith.science/pith/SHY2ACH6DOAAKCTJXIDM6LSTT5/action/storage_attestation","attest_author":"https://pith.science/pith/SHY2ACH6DOAAKCTJXIDM6LSTT5/action/author_attestation","sign_citation":"https://pith.science/pith/SHY2ACH6DOAAKCTJXIDM6LSTT5/action/citation_signature","submit_replication":"https://pith.science/pith/SHY2ACH6DOAAKCTJXIDM6LSTT5/action/replication_record"}},"created_at":"2026-05-18T03:49:33.061965+00:00","updated_at":"2026-05-18T03:49:33.061965+00:00"}