{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2006:JBOBDJWX62M4ZZ6RPPUAS6OWED","short_pith_number":"pith:JBOBDJWX","schema_version":"1.0","canonical_sha256":"485c11a6d7f699cce7d17be80979d620cf383ef42a41afb9bcb8c2f66ce1e077","source":{"kind":"arxiv","id":"cond-mat/0611564","version":1},"attestation_state":"computed","paper":{"title":"Anomalous electrical and frictionless flow conductance in complex networks","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat.dis-nn","authors_text":"Eduardo L\\'opez, H. Eugene Stanley, Sergey V. Buldyrev, Shai Carmi, Shlomo Havlin","submitted_at":"2006-11-21T17:24:01Z","abstract_excerpt":"We study transport properties such as electrical and frictionless flow conductance on scale-free and Erdos-Renyi networks. We consider the conductance G between two arbitrarily chosen nodes where each link has the same unit resistance. Our theoretical analysis for scale-free networks predicts a broad range of values of G, with a power-law tail distribution \\Phi_{SF}(G) \\sim G^{g_G}, where g_G = 2\\lambda - 1, where \\lambda is the decay exponent for the scale-free network degree distribution. We confirm our predictions by simulations of scale-free networks solving the Kirchhoff equations for the"},"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":"cond-mat/0611564","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.dis-nn","submitted_at":"2006-11-21T17:24:01Z","cross_cats_sorted":[],"title_canon_sha256":"13581e8d29067561330c34bbbca79585b6b178ad581abfcb200ce4a7ce37d67f","abstract_canon_sha256":"c20fda8a2ff0733a63979f77ea564269a3a2abaa43875b8575ca291d9e77f0c0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:08:55.309742Z","signature_b64":"5lDl682Ny11ceVfR8vEtQ9dQP2ejttNtECrqDlIfDbQwSefA7kAZF8jORQXypKxjZc28WxecQciGLwX5UbmBBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"485c11a6d7f699cce7d17be80979d620cf383ef42a41afb9bcb8c2f66ce1e077","last_reissued_at":"2026-05-18T01:08:55.309171Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:08:55.309171Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Anomalous electrical and frictionless flow conductance in complex networks","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat.dis-nn","authors_text":"Eduardo L\\'opez, H. Eugene Stanley, Sergey V. Buldyrev, Shai Carmi, Shlomo Havlin","submitted_at":"2006-11-21T17:24:01Z","abstract_excerpt":"We study transport properties such as electrical and frictionless flow conductance on scale-free and Erdos-Renyi networks. We consider the conductance G between two arbitrarily chosen nodes where each link has the same unit resistance. Our theoretical analysis for scale-free networks predicts a broad range of values of G, with a power-law tail distribution \\Phi_{SF}(G) \\sim G^{g_G}, where g_G = 2\\lambda - 1, where \\lambda is the decay exponent for the scale-free network degree distribution. We confirm our predictions by simulations of scale-free networks solving the Kirchhoff equations for the"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0611564","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":""},"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":"cond-mat/0611564","created_at":"2026-05-18T01:08:55.309261+00:00"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0611564v1","created_at":"2026-05-18T01:08:55.309261+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0611564","created_at":"2026-05-18T01:08:55.309261+00:00"},{"alias_kind":"pith_short_12","alias_value":"JBOBDJWX62M4","created_at":"2026-05-18T12:25:54.717736+00:00"},{"alias_kind":"pith_short_16","alias_value":"JBOBDJWX62M4ZZ6R","created_at":"2026-05-18T12:25:54.717736+00:00"},{"alias_kind":"pith_short_8","alias_value":"JBOBDJWX","created_at":"2026-05-18T12:25:54.717736+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/JBOBDJWX62M4ZZ6RPPUAS6OWED","json":"https://pith.science/pith/JBOBDJWX62M4ZZ6RPPUAS6OWED.json","graph_json":"https://pith.science/api/pith-number/JBOBDJWX62M4ZZ6RPPUAS6OWED/graph.json","events_json":"https://pith.science/api/pith-number/JBOBDJWX62M4ZZ6RPPUAS6OWED/events.json","paper":"https://pith.science/paper/JBOBDJWX"},"agent_actions":{"view_html":"https://pith.science/pith/JBOBDJWX62M4ZZ6RPPUAS6OWED","download_json":"https://pith.science/pith/JBOBDJWX62M4ZZ6RPPUAS6OWED.json","view_paper":"https://pith.science/paper/JBOBDJWX","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=cond-mat/0611564&json=true","fetch_graph":"https://pith.science/api/pith-number/JBOBDJWX62M4ZZ6RPPUAS6OWED/graph.json","fetch_events":"https://pith.science/api/pith-number/JBOBDJWX62M4ZZ6RPPUAS6OWED/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/JBOBDJWX62M4ZZ6RPPUAS6OWED/action/timestamp_anchor","attest_storage":"https://pith.science/pith/JBOBDJWX62M4ZZ6RPPUAS6OWED/action/storage_attestation","attest_author":"https://pith.science/pith/JBOBDJWX62M4ZZ6RPPUAS6OWED/action/author_attestation","sign_citation":"https://pith.science/pith/JBOBDJWX62M4ZZ6RPPUAS6OWED/action/citation_signature","submit_replication":"https://pith.science/pith/JBOBDJWX62M4ZZ6RPPUAS6OWED/action/replication_record"}},"created_at":"2026-05-18T01:08:55.309261+00:00","updated_at":"2026-05-18T01:08:55.309261+00:00"}