{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2009:AFZSQKWAYRUDFNGT6QLWO2XPLF","short_pith_number":"pith:AFZSQKWA","schema_version":"1.0","canonical_sha256":"0173282ac0c46832b4d3f417676aef596c450f9fa1074ca574b223bfd43e0863","source":{"kind":"arxiv","id":"0902.3160","version":6},"attestation_state":"computed","paper":{"title":"Traffic Fluctuations on Weighted Networks","license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","headline":"","cross_cats":["cond-mat.dis-nn"],"primary_cat":"cond-mat.stat-mech","authors_text":"Guanrong Chen, Jihong Guan, Shi Zhou, Shuigeng Zhou, Yichao Zhang, Zhongzhi Zhang","submitted_at":"2009-02-18T15:01:32Z","abstract_excerpt":"Traffic fluctuation has so far been studied on unweighted networks. However many real traffic systems are better represented as weighted networks, where nodes and links are assigned a weight value representing their physical properties such as capacity and delay. Here we introduce a general random diffusion (GRD) model to investigate the traffic fluctuation in weighted networks, where a random walk's choice of route is affected not only by the number of links a node has, but also by the weight of individual links. We obtain analytical solutions that characterise the relation between the averag"},"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":"0902.3160","kind":"arxiv","version":6},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2009-02-18T15:01:32Z","cross_cats_sorted":["cond-mat.dis-nn"],"title_canon_sha256":"dc0eec23a83f9cca7931f6385a16fd16549bbdd7e904dde76236ba220bf40504","abstract_canon_sha256":"7fe73f4d550537b89fbeaa9236c6b35b4249b5128d4724c7c623fcd72c29c1f5"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:08:35.046794Z","signature_b64":"c4TJkEXevl8bo8G9P3HGWS14NUvWexoOpPoPBNywJr3wvjQG35pCeil54RFEmBLXwjtWT2ZTmS6WXXuWt/DhCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0173282ac0c46832b4d3f417676aef596c450f9fa1074ca574b223bfd43e0863","last_reissued_at":"2026-05-18T04:08:35.046309Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:08:35.046309Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Traffic Fluctuations on Weighted Networks","license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","headline":"","cross_cats":["cond-mat.dis-nn"],"primary_cat":"cond-mat.stat-mech","authors_text":"Guanrong Chen, Jihong Guan, Shi Zhou, Shuigeng Zhou, Yichao Zhang, Zhongzhi Zhang","submitted_at":"2009-02-18T15:01:32Z","abstract_excerpt":"Traffic fluctuation has so far been studied on unweighted networks. However many real traffic systems are better represented as weighted networks, where nodes and links are assigned a weight value representing their physical properties such as capacity and delay. Here we introduce a general random diffusion (GRD) model to investigate the traffic fluctuation in weighted networks, where a random walk's choice of route is affected not only by the number of links a node has, but also by the weight of individual links. We obtain analytical solutions that characterise the relation between the averag"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0902.3160","kind":"arxiv","version":6},"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":"0902.3160","created_at":"2026-05-18T04:08:35.046395+00:00"},{"alias_kind":"arxiv_version","alias_value":"0902.3160v6","created_at":"2026-05-18T04:08:35.046395+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0902.3160","created_at":"2026-05-18T04:08:35.046395+00:00"},{"alias_kind":"pith_short_12","alias_value":"AFZSQKWAYRUD","created_at":"2026-05-18T12:25:58.837520+00:00"},{"alias_kind":"pith_short_16","alias_value":"AFZSQKWAYRUDFNGT","created_at":"2026-05-18T12:25:58.837520+00:00"},{"alias_kind":"pith_short_8","alias_value":"AFZSQKWA","created_at":"2026-05-18T12:25:58.837520+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/AFZSQKWAYRUDFNGT6QLWO2XPLF","json":"https://pith.science/pith/AFZSQKWAYRUDFNGT6QLWO2XPLF.json","graph_json":"https://pith.science/api/pith-number/AFZSQKWAYRUDFNGT6QLWO2XPLF/graph.json","events_json":"https://pith.science/api/pith-number/AFZSQKWAYRUDFNGT6QLWO2XPLF/events.json","paper":"https://pith.science/paper/AFZSQKWA"},"agent_actions":{"view_html":"https://pith.science/pith/AFZSQKWAYRUDFNGT6QLWO2XPLF","download_json":"https://pith.science/pith/AFZSQKWAYRUDFNGT6QLWO2XPLF.json","view_paper":"https://pith.science/paper/AFZSQKWA","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0902.3160&json=true","fetch_graph":"https://pith.science/api/pith-number/AFZSQKWAYRUDFNGT6QLWO2XPLF/graph.json","fetch_events":"https://pith.science/api/pith-number/AFZSQKWAYRUDFNGT6QLWO2XPLF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/AFZSQKWAYRUDFNGT6QLWO2XPLF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/AFZSQKWAYRUDFNGT6QLWO2XPLF/action/storage_attestation","attest_author":"https://pith.science/pith/AFZSQKWAYRUDFNGT6QLWO2XPLF/action/author_attestation","sign_citation":"https://pith.science/pith/AFZSQKWAYRUDFNGT6QLWO2XPLF/action/citation_signature","submit_replication":"https://pith.science/pith/AFZSQKWAYRUDFNGT6QLWO2XPLF/action/replication_record"}},"created_at":"2026-05-18T04:08:35.046395+00:00","updated_at":"2026-05-18T04:08:35.046395+00:00"}