{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2000:WPJGNBNKEFCNTZQNKCK4BGC27Q","short_pith_number":"pith:WPJGNBNK","schema_version":"1.0","canonical_sha256":"b3d26685aa2144d9e60d5095c0985afc2af2f77384118997c4409676c8310b35","source":{"kind":"arxiv","id":"cs/0012019","version":1},"attestation_state":"computed","paper":{"title":"A Note on Power-Laws of Internet Topology","license":"","headline":"","cross_cats":[],"primary_cat":"cs.NI","authors_text":"Hongsong Chou","submitted_at":"2000-12-21T15:26:19Z","abstract_excerpt":"The three Power-Laws proposed by Faloutsos et al(1999) are important discoveries among many recent works on finding hidden rules in the seemingly chaotic Internet topology. In this note, we want to point out that the first two laws discovered by Faloutsos et al(1999, hereafter, {\\it Faloutsos' Power Laws}) are in fact equivalent. That is, as long as any one of them is true, the other can be derived from it, and {\\it vice versa}. Although these two laws are equivalent, they provide different ways to measure the exponents of their corresponding power law relations. We also show that these two me"},"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/0012019","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cs.NI","submitted_at":"2000-12-21T15:26:19Z","cross_cats_sorted":[],"title_canon_sha256":"b01e5e0dc131ea170352218b6cfb1b824cf5e7383a9c5b996328a9486e7b927c","abstract_canon_sha256":"c2b2b86e7982137f9d66eb2d5a98d16dceb56a056848a5c582f792c4d65b7ca9"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T14:24:06.473396Z","signature_b64":"JEEGl9lT+0PMJVXRKF8h/x1BvjuIomATM5tyeFZoGikb0zJCcPRyw5H8AL085aZls1TkJOtq6zbtYrvTRGjMAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b3d26685aa2144d9e60d5095c0985afc2af2f77384118997c4409676c8310b35","last_reissued_at":"2026-07-04T14:24:06.472993Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T14:24:06.472993Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A Note on Power-Laws of Internet Topology","license":"","headline":"","cross_cats":[],"primary_cat":"cs.NI","authors_text":"Hongsong Chou","submitted_at":"2000-12-21T15:26:19Z","abstract_excerpt":"The three Power-Laws proposed by Faloutsos et al(1999) are important discoveries among many recent works on finding hidden rules in the seemingly chaotic Internet topology. In this note, we want to point out that the first two laws discovered by Faloutsos et al(1999, hereafter, {\\it Faloutsos' Power Laws}) are in fact equivalent. That is, as long as any one of them is true, the other can be derived from it, and {\\it vice versa}. Although these two laws are equivalent, they provide different ways to measure the exponents of their corresponding power law relations. We also show that these two me"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cs/0012019","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/cs/0012019/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/0012019","created_at":"2026-07-04T14:24:06.473058+00:00"},{"alias_kind":"arxiv_version","alias_value":"cs/0012019v1","created_at":"2026-07-04T14:24:06.473058+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cs/0012019","created_at":"2026-07-04T14:24:06.473058+00:00"},{"alias_kind":"pith_short_12","alias_value":"WPJGNBNKEFCN","created_at":"2026-07-04T14:24:06.473058+00:00"},{"alias_kind":"pith_short_16","alias_value":"WPJGNBNKEFCNTZQN","created_at":"2026-07-04T14:24:06.473058+00:00"},{"alias_kind":"pith_short_8","alias_value":"WPJGNBNK","created_at":"2026-07-04T14:24:06.473058+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/WPJGNBNKEFCNTZQNKCK4BGC27Q","json":"https://pith.science/pith/WPJGNBNKEFCNTZQNKCK4BGC27Q.json","graph_json":"https://pith.science/api/pith-number/WPJGNBNKEFCNTZQNKCK4BGC27Q/graph.json","events_json":"https://pith.science/api/pith-number/WPJGNBNKEFCNTZQNKCK4BGC27Q/events.json","paper":"https://pith.science/paper/WPJGNBNK"},"agent_actions":{"view_html":"https://pith.science/pith/WPJGNBNKEFCNTZQNKCK4BGC27Q","download_json":"https://pith.science/pith/WPJGNBNKEFCNTZQNKCK4BGC27Q.json","view_paper":"https://pith.science/paper/WPJGNBNK","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=cs/0012019&json=true","fetch_graph":"https://pith.science/api/pith-number/WPJGNBNKEFCNTZQNKCK4BGC27Q/graph.json","fetch_events":"https://pith.science/api/pith-number/WPJGNBNKEFCNTZQNKCK4BGC27Q/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/WPJGNBNKEFCNTZQNKCK4BGC27Q/action/timestamp_anchor","attest_storage":"https://pith.science/pith/WPJGNBNKEFCNTZQNKCK4BGC27Q/action/storage_attestation","attest_author":"https://pith.science/pith/WPJGNBNKEFCNTZQNKCK4BGC27Q/action/author_attestation","sign_citation":"https://pith.science/pith/WPJGNBNKEFCNTZQNKCK4BGC27Q/action/citation_signature","submit_replication":"https://pith.science/pith/WPJGNBNKEFCNTZQNKCK4BGC27Q/action/replication_record"}},"created_at":"2026-07-04T14:24:06.473058+00:00","updated_at":"2026-07-04T14:24:06.473058+00:00"}