{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:ACIILC4DRF2D7SP67OETBWDKI5","short_pith_number":"pith:ACIILC4D","canonical_record":{"source":{"id":"1305.3146","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SI","submitted_at":"2013-05-14T13:05:43Z","cross_cats_sorted":["physics.soc-ph"],"title_canon_sha256":"b0df7272d983541457f0db38b92e1153ac8146b16509f52482727321963100c5","abstract_canon_sha256":"5f064e18d5937394ec5bdee34e3e44f0a32c59a115ef7d7954f27ca5be2d6ff0"},"schema_version":"1.0"},"canonical_sha256":"0090858b8389743fc9fefb8930d86a4749a8a512987318bd4819c105f548849c","source":{"kind":"arxiv","id":"1305.3146","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.3146","created_at":"2026-05-18T03:25:44Z"},{"alias_kind":"arxiv_version","alias_value":"1305.3146v1","created_at":"2026-05-18T03:25:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.3146","created_at":"2026-05-18T03:25:44Z"},{"alias_kind":"pith_short_12","alias_value":"ACIILC4DRF2D","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_16","alias_value":"ACIILC4DRF2D7SP6","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_8","alias_value":"ACIILC4D","created_at":"2026-05-18T12:27:38Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:ACIILC4DRF2D7SP67OETBWDKI5","target":"record","payload":{"canonical_record":{"source":{"id":"1305.3146","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SI","submitted_at":"2013-05-14T13:05:43Z","cross_cats_sorted":["physics.soc-ph"],"title_canon_sha256":"b0df7272d983541457f0db38b92e1153ac8146b16509f52482727321963100c5","abstract_canon_sha256":"5f064e18d5937394ec5bdee34e3e44f0a32c59a115ef7d7954f27ca5be2d6ff0"},"schema_version":"1.0"},"canonical_sha256":"0090858b8389743fc9fefb8930d86a4749a8a512987318bd4819c105f548849c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:25:44.656588Z","signature_b64":"wqXyR+OJN85T+a535kgkGBKR4ExbRsQpRKxB9vjIODqcIQaiGP2g2otIqJeIDHEvcKIGju8bsD6X2s6Cd+I3DA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0090858b8389743fc9fefb8930d86a4749a8a512987318bd4819c105f548849c","last_reissued_at":"2026-05-18T03:25:44.655930Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:25:44.655930Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1305.3146","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":"2026-05-18T03:25:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5dqIfO3S/QI5xQs5ykXNHjFDJGSFDQU5kIe4urIiLrP8apiuN22sGPgefbU+8UxLtCMREGt9mk1BI7IFuhL5Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-21T03:01:13.659264Z"},"content_sha256":"394caff2217001d9ecd8d96588351938cf1bd08ee6ed5d861c5d446e241902ad","schema_version":"1.0","event_id":"sha256:394caff2217001d9ecd8d96588351938cf1bd08ee6ed5d861c5d446e241902ad"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:ACIILC4DRF2D7SP67OETBWDKI5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Discriminating Power of Centrality Measures","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.soc-ph"],"primary_cat":"cs.SI","authors_text":"Mason A. Porter, M. Puck Rombach","submitted_at":"2013-05-14T13:05:43Z","abstract_excerpt":"The calculation of centrality measures is common practice in the study of networks, as they attempt to quantify the importance of individual vertices, edges, or other components. Different centralities attempt to measure importance in different ways. In this paper, we examine a conjecture posed by E. Estrada regarding the ability of several measures to distinguish the vertices of networks. Estrada conjectured that if all vertices of a graph have the same subgraph centrality, then all vertices must also have the same degree, eigenvector, closeness, and betweenness centralities. We provide a cou"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.3146","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":"2026-05-18T03:25:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZZ2TSHykd5C6fXsJLkP9RDY+jaF67wOa+UjcIeHUn6E/s/DRh0mwuvclZnXA60wVppuqQAZqPzpv05SCHrdjBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-21T03:01:13.659653Z"},"content_sha256":"24e2240d86a506abead4bc1861564541640c7a1e67a728f1e93fff53bc18bd28","schema_version":"1.0","event_id":"sha256:24e2240d86a506abead4bc1861564541640c7a1e67a728f1e93fff53bc18bd28"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ACIILC4DRF2D7SP67OETBWDKI5/bundle.json","state_url":"https://pith.science/pith/ACIILC4DRF2D7SP67OETBWDKI5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ACIILC4DRF2D7SP67OETBWDKI5/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":"2026-05-21T03:01:13Z","links":{"resolver":"https://pith.science/pith/ACIILC4DRF2D7SP67OETBWDKI5","bundle":"https://pith.science/pith/ACIILC4DRF2D7SP67OETBWDKI5/bundle.json","state":"https://pith.science/pith/ACIILC4DRF2D7SP67OETBWDKI5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ACIILC4DRF2D7SP67OETBWDKI5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:ACIILC4DRF2D7SP67OETBWDKI5","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":"5f064e18d5937394ec5bdee34e3e44f0a32c59a115ef7d7954f27ca5be2d6ff0","cross_cats_sorted":["physics.soc-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SI","submitted_at":"2013-05-14T13:05:43Z","title_canon_sha256":"b0df7272d983541457f0db38b92e1153ac8146b16509f52482727321963100c5"},"schema_version":"1.0","source":{"id":"1305.3146","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.3146","created_at":"2026-05-18T03:25:44Z"},{"alias_kind":"arxiv_version","alias_value":"1305.3146v1","created_at":"2026-05-18T03:25:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.3146","created_at":"2026-05-18T03:25:44Z"},{"alias_kind":"pith_short_12","alias_value":"ACIILC4DRF2D","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_16","alias_value":"ACIILC4DRF2D7SP6","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_8","alias_value":"ACIILC4D","created_at":"2026-05-18T12:27:38Z"}],"graph_snapshots":[{"event_id":"sha256:24e2240d86a506abead4bc1861564541640c7a1e67a728f1e93fff53bc18bd28","target":"graph","created_at":"2026-05-18T03:25:44Z","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":"The calculation of centrality measures is common practice in the study of networks, as they attempt to quantify the importance of individual vertices, edges, or other components. Different centralities attempt to measure importance in different ways. In this paper, we examine a conjecture posed by E. Estrada regarding the ability of several measures to distinguish the vertices of networks. Estrada conjectured that if all vertices of a graph have the same subgraph centrality, then all vertices must also have the same degree, eigenvector, closeness, and betweenness centralities. We provide a cou","authors_text":"Mason A. Porter, M. Puck Rombach","cross_cats":["physics.soc-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SI","submitted_at":"2013-05-14T13:05:43Z","title":"Discriminating Power of Centrality Measures"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.3146","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":"sha256:394caff2217001d9ecd8d96588351938cf1bd08ee6ed5d861c5d446e241902ad","target":"record","created_at":"2026-05-18T03:25:44Z","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":"5f064e18d5937394ec5bdee34e3e44f0a32c59a115ef7d7954f27ca5be2d6ff0","cross_cats_sorted":["physics.soc-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SI","submitted_at":"2013-05-14T13:05:43Z","title_canon_sha256":"b0df7272d983541457f0db38b92e1153ac8146b16509f52482727321963100c5"},"schema_version":"1.0","source":{"id":"1305.3146","kind":"arxiv","version":1}},"canonical_sha256":"0090858b8389743fc9fefb8930d86a4749a8a512987318bd4819c105f548849c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0090858b8389743fc9fefb8930d86a4749a8a512987318bd4819c105f548849c","first_computed_at":"2026-05-18T03:25:44.655930Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:25:44.655930Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wqXyR+OJN85T+a535kgkGBKR4ExbRsQpRKxB9vjIODqcIQaiGP2g2otIqJeIDHEvcKIGju8bsD6X2s6Cd+I3DA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:25:44.656588Z","signed_message":"canonical_sha256_bytes"},"source_id":"1305.3146","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:394caff2217001d9ecd8d96588351938cf1bd08ee6ed5d861c5d446e241902ad","sha256:24e2240d86a506abead4bc1861564541640c7a1e67a728f1e93fff53bc18bd28"],"state_sha256":"b91a836d8368892bd5f7b3f9e329079342c4af976d8cbd7e906de70a888bb923"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9r2itBXoWm7mX4oF6ct03L+/jN4LtNqxfQCgD2xyhVAJ15gooORaOtqHvn8BxgqqCT8+J/bO8vlLmf28XLaLCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-21T03:01:13.661648Z","bundle_sha256":"4a9b334f1bea84c9bdd75639bc156c4639eb842f08e50ebf4d72d5a8a80dfc55"}}