{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:SHY2ACH6DOAAKCTJXIDM6LSTT5","short_pith_number":"pith:SHY2ACH6","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"},"canonical_sha256":"91f1a008fe1b80050a69ba06cf2e539f76638fd6d4790b98150f5e53dccd8b65","source":{"kind":"arxiv","id":"1010.4247","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1010.4247","created_at":"2026-05-18T03:49:33Z"},{"alias_kind":"arxiv_version","alias_value":"1010.4247v1","created_at":"2026-05-18T03:49:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1010.4247","created_at":"2026-05-18T03:49:33Z"},{"alias_kind":"pith_short_12","alias_value":"SHY2ACH6DOAA","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_16","alias_value":"SHY2ACH6DOAAKCTJ","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_8","alias_value":"SHY2ACH6","created_at":"2026-05-18T12:26:13Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:SHY2ACH6DOAAKCTJXIDM6LSTT5","target":"record","payload":{"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"},"canonical_sha256":"91f1a008fe1b80050a69ba06cf2e539f76638fd6d4790b98150f5e53dccd8b65","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"},"source_kind":"arxiv","source_id":"1010.4247","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:49:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jqa/DRrL/vSWsb99eNMrQf+OzQTg6oU8QwbqqCzATpJ7MhuyVxnHHYTRFnXhQGTceVnFac1r3waeIG92YL/TBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T02:27:54.471762Z"},"content_sha256":"f2f359487a2100c62048a05e870363b9eb73d35b7f5fecbc1bd3a9d66519edb7","schema_version":"1.0","event_id":"sha256:f2f359487a2100c62048a05e870363b9eb73d35b7f5fecbc1bd3a9d66519edb7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:SHY2ACH6DOAAKCTJXIDM6LSTT5","target":"graph","payload":{"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:49:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BisX65TdTPgcv5V+kRoHWacfiLWPhm3bwhBh6l/CNhQkHQxQB4JcaAlwWUsXVwHC4EmOnDuUUAR6Xl7xHFXPDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T02:27:54.472106Z"},"content_sha256":"c0f8d6484cca91acbfcfc6bf42732bdd922b4f6808360d16a8eacf40cba6fe63","schema_version":"1.0","event_id":"sha256:c0f8d6484cca91acbfcfc6bf42732bdd922b4f6808360d16a8eacf40cba6fe63"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SHY2ACH6DOAAKCTJXIDM6LSTT5/bundle.json","state_url":"https://pith.science/pith/SHY2ACH6DOAAKCTJXIDM6LSTT5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SHY2ACH6DOAAKCTJXIDM6LSTT5/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":"2026-06-02T02:27:54Z","links":{"resolver":"https://pith.science/pith/SHY2ACH6DOAAKCTJXIDM6LSTT5","bundle":"https://pith.science/pith/SHY2ACH6DOAAKCTJXIDM6LSTT5/bundle.json","state":"https://pith.science/pith/SHY2ACH6DOAAKCTJXIDM6LSTT5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SHY2ACH6DOAAKCTJXIDM6LSTT5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:SHY2ACH6DOAAKCTJXIDM6LSTT5","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":"8abfed6dea35ed0d0e29c988886afb14c1b79da718aeba2dfd72e8c8078e1c8a","cross_cats_sorted":["cs.CY","physics.soc-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SI","submitted_at":"2010-10-20T17:01:34Z","title_canon_sha256":"cf68014172a94a34440607749ec601ae8fc7c5ef61a3572eef9c6c0b7c6cad7c"},"schema_version":"1.0","source":{"id":"1010.4247","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1010.4247","created_at":"2026-05-18T03:49:33Z"},{"alias_kind":"arxiv_version","alias_value":"1010.4247v1","created_at":"2026-05-18T03:49:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1010.4247","created_at":"2026-05-18T03:49:33Z"},{"alias_kind":"pith_short_12","alias_value":"SHY2ACH6DOAA","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_16","alias_value":"SHY2ACH6DOAAKCTJ","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_8","alias_value":"SHY2ACH6","created_at":"2026-05-18T12:26:13Z"}],"graph_snapshots":[{"event_id":"sha256:c0f8d6484cca91acbfcfc6bf42732bdd922b4f6808360d16a8eacf40cba6fe63","target":"graph","created_at":"2026-05-18T03:49:33Z","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":"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","authors_text":"Kristina Lerman, Rumi Ghosh","cross_cats":["cs.CY","physics.soc-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SI","submitted_at":"2010-10-20T17:01:34Z","title":"A Parameterized Centrality Metric for Network Analysis"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1010.4247","kind":"arxiv","version":1},"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:f2f359487a2100c62048a05e870363b9eb73d35b7f5fecbc1bd3a9d66519edb7","target":"record","created_at":"2026-05-18T03:49:33Z","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":"8abfed6dea35ed0d0e29c988886afb14c1b79da718aeba2dfd72e8c8078e1c8a","cross_cats_sorted":["cs.CY","physics.soc-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SI","submitted_at":"2010-10-20T17:01:34Z","title_canon_sha256":"cf68014172a94a34440607749ec601ae8fc7c5ef61a3572eef9c6c0b7c6cad7c"},"schema_version":"1.0","source":{"id":"1010.4247","kind":"arxiv","version":1}},"canonical_sha256":"91f1a008fe1b80050a69ba06cf2e539f76638fd6d4790b98150f5e53dccd8b65","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"91f1a008fe1b80050a69ba06cf2e539f76638fd6d4790b98150f5e53dccd8b65","first_computed_at":"2026-05-18T03:49:33.061847Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:49:33.061847Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Tf97kmS5d8MzLyYGWYrlbTe8jMVWlYzVK7qoxGqqO/eALq1FdG8O2nFhXeU3bPHP441dtEPUpLZukfFprJNqBA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:49:33.062576Z","signed_message":"canonical_sha256_bytes"},"source_id":"1010.4247","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f2f359487a2100c62048a05e870363b9eb73d35b7f5fecbc1bd3a9d66519edb7","sha256:c0f8d6484cca91acbfcfc6bf42732bdd922b4f6808360d16a8eacf40cba6fe63"],"state_sha256":"1dab591ae8f808a9cf3d5103f0c8434bd39dc71727f69bc7a75e9c37df03fc0c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"COHKv0EcLStt5VtEUVKJ/LohcsFTiWC+bIZDkhFBr4kYjAKRpYa+v7OezEt2BBD7yTlKbl2e90HXaDnvKD8ZCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T02:27:54.474214Z","bundle_sha256":"48ad602d3680105d651302d22be4c891a1acc25e3b49992318ca461b2a54dc7e"}}