{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:GCYXIOUOTLGRIRKDQDMJRRTXX5","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":"8a652494c673e80fbaa313a2d7e3c088d7f730328004f7168ea6a973338e3f58","cross_cats_sorted":["physics.soc-ph"],"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"cs.NI","submitted_at":"2011-09-04T11:35:03Z","title_canon_sha256":"83a956c133170c84c315aac4c52e713a11c39b1587dfa4abf18d629578de29f5"},"schema_version":"1.0","source":{"id":"1109.0697","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1109.0697","created_at":"2026-05-18T02:00:40Z"},{"alias_kind":"arxiv_version","alias_value":"1109.0697v1","created_at":"2026-05-18T02:00:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.0697","created_at":"2026-05-18T02:00:40Z"},{"alias_kind":"pith_short_12","alias_value":"GCYXIOUOTLGR","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_16","alias_value":"GCYXIOUOTLGRIRKD","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_8","alias_value":"GCYXIOUO","created_at":"2026-05-18T12:26:28Z"}],"graph_snapshots":[{"event_id":"sha256:db34d8f48e389a870f1e91311e4ab99e81f0a299e922a0ad45e0aab564cefb06","target":"graph","created_at":"2026-05-18T02:00:40Z","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":"We propose a limited packet-delivering capacity model for traffic dynamics in scale-free networks. In this model, the total node's packet-delivering capacity is fixed, and the allocation of packet-delivering capacity on node $i$ is proportional to $k_{i}^{\\phi}$, where $k_{i}$ is the degree of node $i$ and $\\phi$ is a adjustable parameter. We have applied this model on the shortest path routing strategy as well as the local routing strategy, and found that there exists an optimal value of parameter $\\phi$ leading to the maximal network capacity under both routing strategies. We provide some ex","authors_text":"Bing-Hong Wang, Han-Xin Yang, Wen-Xu Wang, Zhi-Xi Wu","cross_cats":["physics.soc-ph"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"cs.NI","submitted_at":"2011-09-04T11:35:03Z","title":"Traffic dynamics in scale-free networks with limited packet-delivering capacity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.0697","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":"sha256:19c3d86d74cc04281021cca9233942ec444ad63f33a740a0fd01aada0114c871","target":"record","created_at":"2026-05-18T02:00:40Z","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":"8a652494c673e80fbaa313a2d7e3c088d7f730328004f7168ea6a973338e3f58","cross_cats_sorted":["physics.soc-ph"],"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"cs.NI","submitted_at":"2011-09-04T11:35:03Z","title_canon_sha256":"83a956c133170c84c315aac4c52e713a11c39b1587dfa4abf18d629578de29f5"},"schema_version":"1.0","source":{"id":"1109.0697","kind":"arxiv","version":1}},"canonical_sha256":"30b1743a8e9acd14454380d898c677bf65a227f33c6d3ca423684b2b295f7587","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"30b1743a8e9acd14454380d898c677bf65a227f33c6d3ca423684b2b295f7587","first_computed_at":"2026-05-18T02:00:40.250344Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:00:40.250344Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"NNY08shueapS0D80P2hX2NaFULL3OvHQD2JynU9/DQezUMlb+iIPr/bFq9UsDKOYG2iOpBGB+Is5INPs8wTBDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:00:40.251023Z","signed_message":"canonical_sha256_bytes"},"source_id":"1109.0697","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:19c3d86d74cc04281021cca9233942ec444ad63f33a740a0fd01aada0114c871","sha256:db34d8f48e389a870f1e91311e4ab99e81f0a299e922a0ad45e0aab564cefb06"],"state_sha256":"971f280428749f48f21bc53f464e71475fb36db44c3b1debf94b5b438e3ee1f4"}