{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:5ETYJJ7352I4XHMFH4NFQQ6EEG","short_pith_number":"pith:5ETYJJ73","schema_version":"1.0","canonical_sha256":"e92784a7fbee91cb9d853f1a5843c4219ed7ff1d73c4150aebfab616f66a5b2d","source":{"kind":"arxiv","id":"1211.6636","version":2},"attestation_state":"computed","paper":{"title":"Edge Balance Ratio: Power Law from Vertices to Edges in Directed Complex Network","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.soc-ph"],"primary_cat":"cs.SI","authors_text":"Pengfei Liu, Xiaohan Wang, Yuantao Gu, Zhaoqun Chen","submitted_at":"2012-11-28T15:37:53Z","abstract_excerpt":"Power law distribution is common in real-world networks including online social networks. Many studies on complex networks focus on the characteristics of vertices, which are always proved to follow the power law. However, few researches have been done on edges in directed networks. In this paper, edge balance ratio is firstly proposed to measure the balance property of edges in directed networks. Based on edge balance ratio, balance profile and positivity are put forward to describe the balance level of the whole network. Then the distribution of edge balance ratio is theoretically analyzed. "},"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":"1211.6636","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SI","submitted_at":"2012-11-28T15:37:53Z","cross_cats_sorted":["physics.soc-ph"],"title_canon_sha256":"c0edb24db677bffdf7204a8f5af15906ccddaa2697b2d52a15d58359f0857022","abstract_canon_sha256":"c130ddad0acdfd04d46531cae8d8dcbd1aeb3ac658e3f40f68ff179c133cc92b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:52:53.868166Z","signature_b64":"R/5jlIpZUYgWDXcwObClN/3biqyCWlsw7ruuswfS9NO1oszPoJcVIFnwFd0qK/aOuiKUp3AThFeUjAya+WEvCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e92784a7fbee91cb9d853f1a5843c4219ed7ff1d73c4150aebfab616f66a5b2d","last_reissued_at":"2026-05-18T01:52:53.867538Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:52:53.867538Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Edge Balance Ratio: Power Law from Vertices to Edges in Directed Complex Network","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.soc-ph"],"primary_cat":"cs.SI","authors_text":"Pengfei Liu, Xiaohan Wang, Yuantao Gu, Zhaoqun Chen","submitted_at":"2012-11-28T15:37:53Z","abstract_excerpt":"Power law distribution is common in real-world networks including online social networks. Many studies on complex networks focus on the characteristics of vertices, which are always proved to follow the power law. However, few researches have been done on edges in directed networks. In this paper, edge balance ratio is firstly proposed to measure the balance property of edges in directed networks. Based on edge balance ratio, balance profile and positivity are put forward to describe the balance level of the whole network. Then the distribution of edge balance ratio is theoretically analyzed. "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.6636","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":""},"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":"1211.6636","created_at":"2026-05-18T01:52:53.867650+00:00"},{"alias_kind":"arxiv_version","alias_value":"1211.6636v2","created_at":"2026-05-18T01:52:53.867650+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.6636","created_at":"2026-05-18T01:52:53.867650+00:00"},{"alias_kind":"pith_short_12","alias_value":"5ETYJJ7352I4","created_at":"2026-05-18T12:26:53.410803+00:00"},{"alias_kind":"pith_short_16","alias_value":"5ETYJJ7352I4XHMF","created_at":"2026-05-18T12:26:53.410803+00:00"},{"alias_kind":"pith_short_8","alias_value":"5ETYJJ73","created_at":"2026-05-18T12:26:53.410803+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/5ETYJJ7352I4XHMFH4NFQQ6EEG","json":"https://pith.science/pith/5ETYJJ7352I4XHMFH4NFQQ6EEG.json","graph_json":"https://pith.science/api/pith-number/5ETYJJ7352I4XHMFH4NFQQ6EEG/graph.json","events_json":"https://pith.science/api/pith-number/5ETYJJ7352I4XHMFH4NFQQ6EEG/events.json","paper":"https://pith.science/paper/5ETYJJ73"},"agent_actions":{"view_html":"https://pith.science/pith/5ETYJJ7352I4XHMFH4NFQQ6EEG","download_json":"https://pith.science/pith/5ETYJJ7352I4XHMFH4NFQQ6EEG.json","view_paper":"https://pith.science/paper/5ETYJJ73","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1211.6636&json=true","fetch_graph":"https://pith.science/api/pith-number/5ETYJJ7352I4XHMFH4NFQQ6EEG/graph.json","fetch_events":"https://pith.science/api/pith-number/5ETYJJ7352I4XHMFH4NFQQ6EEG/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/5ETYJJ7352I4XHMFH4NFQQ6EEG/action/timestamp_anchor","attest_storage":"https://pith.science/pith/5ETYJJ7352I4XHMFH4NFQQ6EEG/action/storage_attestation","attest_author":"https://pith.science/pith/5ETYJJ7352I4XHMFH4NFQQ6EEG/action/author_attestation","sign_citation":"https://pith.science/pith/5ETYJJ7352I4XHMFH4NFQQ6EEG/action/citation_signature","submit_replication":"https://pith.science/pith/5ETYJJ7352I4XHMFH4NFQQ6EEG/action/replication_record"}},"created_at":"2026-05-18T01:52:53.867650+00:00","updated_at":"2026-05-18T01:52:53.867650+00:00"}