{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2003:THAOBEW52LTHJXUUA24G4DU4IA","short_pith_number":"pith:THAOBEW5","schema_version":"1.0","canonical_sha256":"99c0e092ddd2e674de9406b86e0e9c402ebc38305df0bacc98fa32608d0535fe","source":{"kind":"arxiv","id":"cs/0308036","version":2},"attestation_state":"computed","paper":{"title":"The Rich-Club Phenomenon In The Internet Topology","license":"","headline":"","cross_cats":[],"primary_cat":"cs.NI","authors_text":"Raul J Mondragon, Shi Zhou","submitted_at":"2003-08-21T11:05:19Z","abstract_excerpt":"We show that the Internet topology at the Autonomous System (AS) level has a rich--club phenomenon. The rich nodes, which are a small number of nodes with large numbers of links, are very well connected to each other. The rich--club is a core tier that we measured using the rich--club connectivity and the node--node link distribution. We obtained this core tier without any heuristic assumption between the ASes. The rich--club phenomenon is a simple qualitative way to differentiate between power law topologies and provides a criterion for new network models. To show this, we compared the measur"},"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":"cs/0308036","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"cs.NI","submitted_at":"2003-08-21T11:05:19Z","cross_cats_sorted":[],"title_canon_sha256":"0fb420ad9081a380a4454d46068a6420570aa7dd2e792a5f1b6a8abb94b69f9d","abstract_canon_sha256":"7a1e9211a9d31a72a0ca3f94390f0ef0161893a6c9183ca300d85a52429fb6b6"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T14:48:11.516122Z","signature_b64":"suDo4zYWRqd3QUzywIAwqBOAkcPsGA0WNtJEwgdAGVHxH5MB8tEAs404WcPu2lMDrcWVa4pHLRrF5tgX2oY6Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"99c0e092ddd2e674de9406b86e0e9c402ebc38305df0bacc98fa32608d0535fe","last_reissued_at":"2026-07-04T14:48:11.515691Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T14:48:11.515691Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Rich-Club Phenomenon In The Internet Topology","license":"","headline":"","cross_cats":[],"primary_cat":"cs.NI","authors_text":"Raul J Mondragon, Shi Zhou","submitted_at":"2003-08-21T11:05:19Z","abstract_excerpt":"We show that the Internet topology at the Autonomous System (AS) level has a rich--club phenomenon. The rich nodes, which are a small number of nodes with large numbers of links, are very well connected to each other. The rich--club is a core tier that we measured using the rich--club connectivity and the node--node link distribution. We obtained this core tier without any heuristic assumption between the ASes. The rich--club phenomenon is a simple qualitative way to differentiate between power law topologies and provides a criterion for new network models. To show this, we compared the measur"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cs/0308036","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/cs/0308036/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"cs/0308036","created_at":"2026-07-04T14:48:11.515742+00:00"},{"alias_kind":"arxiv_version","alias_value":"cs/0308036v2","created_at":"2026-07-04T14:48:11.515742+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cs/0308036","created_at":"2026-07-04T14:48:11.515742+00:00"},{"alias_kind":"pith_short_12","alias_value":"THAOBEW52LTH","created_at":"2026-07-04T14:48:11.515742+00:00"},{"alias_kind":"pith_short_16","alias_value":"THAOBEW52LTHJXUU","created_at":"2026-07-04T14:48:11.515742+00:00"},{"alias_kind":"pith_short_8","alias_value":"THAOBEW5","created_at":"2026-07-04T14:48:11.515742+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/THAOBEW52LTHJXUUA24G4DU4IA","json":"https://pith.science/pith/THAOBEW52LTHJXUUA24G4DU4IA.json","graph_json":"https://pith.science/api/pith-number/THAOBEW52LTHJXUUA24G4DU4IA/graph.json","events_json":"https://pith.science/api/pith-number/THAOBEW52LTHJXUUA24G4DU4IA/events.json","paper":"https://pith.science/paper/THAOBEW5"},"agent_actions":{"view_html":"https://pith.science/pith/THAOBEW52LTHJXUUA24G4DU4IA","download_json":"https://pith.science/pith/THAOBEW52LTHJXUUA24G4DU4IA.json","view_paper":"https://pith.science/paper/THAOBEW5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=cs/0308036&json=true","fetch_graph":"https://pith.science/api/pith-number/THAOBEW52LTHJXUUA24G4DU4IA/graph.json","fetch_events":"https://pith.science/api/pith-number/THAOBEW52LTHJXUUA24G4DU4IA/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/THAOBEW52LTHJXUUA24G4DU4IA/action/timestamp_anchor","attest_storage":"https://pith.science/pith/THAOBEW52LTHJXUUA24G4DU4IA/action/storage_attestation","attest_author":"https://pith.science/pith/THAOBEW52LTHJXUUA24G4DU4IA/action/author_attestation","sign_citation":"https://pith.science/pith/THAOBEW52LTHJXUUA24G4DU4IA/action/citation_signature","submit_replication":"https://pith.science/pith/THAOBEW52LTHJXUUA24G4DU4IA/action/replication_record"}},"created_at":"2026-07-04T14:48:11.515742+00:00","updated_at":"2026-07-04T14:48:11.515742+00:00"}