{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2006:EEDAZTGMB7ZOWT5VQTRLPFDCPR","short_pith_number":"pith:EEDAZTGM","schema_version":"1.0","canonical_sha256":"21060ccccc0ff2eb4fb584e2b794627c733d3870f9336a8e0a756a3a8ceabad0","source":{"kind":"arxiv","id":"cond-mat/0605452","version":1},"attestation_state":"computed","paper":{"title":"Transport Processes on Homogeneous Planar Graphs with Scale-Free Loops","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Bosiljka Tadic, Milovan Suvakov","submitted_at":"2006-05-18T09:35:09Z","abstract_excerpt":"We consider the role of network geometry in two types of diffusion processes: transport of constant-density information packets with queuing on nodes, and constant voltage-driven tunneling of electrons. The underlying network is a homogeneous graph with scale-free distribution of loops, which is constrained to a planar geometry and fixed node connectivity $k=3$. We determine properties of noise, flow and return-times statistics for both processes on this graph and relate the observed differences to the microscopic process details. Our main findings are: (i) Through the local interaction betwee"},"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/0605452","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2006-05-18T09:35:09Z","cross_cats_sorted":[],"title_canon_sha256":"de5f6065cea1045fd6c3a7d08b1eadbe41dd06b5c0d549820315fd7c6ceecafa","abstract_canon_sha256":"6e8e0f12f28a4af059f40ac41a296f5adab3e389479ec4d3cb2d47b9f8d8d54b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:39:51.588074Z","signature_b64":"mgyuzuzL1rhULY6gIUk1bh0RkskebEanWv6hvgyyYpOGWmz6TfoNVah/VzEg+jEn8OIQeVV58e1Jw7sriKY+Cw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"21060ccccc0ff2eb4fb584e2b794627c733d3870f9336a8e0a756a3a8ceabad0","last_reissued_at":"2026-05-18T04:39:51.587502Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:39:51.587502Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Transport Processes on Homogeneous Planar Graphs with Scale-Free Loops","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Bosiljka Tadic, Milovan Suvakov","submitted_at":"2006-05-18T09:35:09Z","abstract_excerpt":"We consider the role of network geometry in two types of diffusion processes: transport of constant-density information packets with queuing on nodes, and constant voltage-driven tunneling of electrons. The underlying network is a homogeneous graph with scale-free distribution of loops, which is constrained to a planar geometry and fixed node connectivity $k=3$. We determine properties of noise, flow and return-times statistics for both processes on this graph and relate the observed differences to the microscopic process details. Our main findings are: (i) Through the local interaction betwee"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0605452","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/0605452","created_at":"2026-05-18T04:39:51.587600+00:00"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0605452v1","created_at":"2026-05-18T04:39:51.587600+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0605452","created_at":"2026-05-18T04:39:51.587600+00:00"},{"alias_kind":"pith_short_12","alias_value":"EEDAZTGMB7ZO","created_at":"2026-05-18T12:25:53.939244+00:00"},{"alias_kind":"pith_short_16","alias_value":"EEDAZTGMB7ZOWT5V","created_at":"2026-05-18T12:25:53.939244+00:00"},{"alias_kind":"pith_short_8","alias_value":"EEDAZTGM","created_at":"2026-05-18T12:25:53.939244+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/EEDAZTGMB7ZOWT5VQTRLPFDCPR","json":"https://pith.science/pith/EEDAZTGMB7ZOWT5VQTRLPFDCPR.json","graph_json":"https://pith.science/api/pith-number/EEDAZTGMB7ZOWT5VQTRLPFDCPR/graph.json","events_json":"https://pith.science/api/pith-number/EEDAZTGMB7ZOWT5VQTRLPFDCPR/events.json","paper":"https://pith.science/paper/EEDAZTGM"},"agent_actions":{"view_html":"https://pith.science/pith/EEDAZTGMB7ZOWT5VQTRLPFDCPR","download_json":"https://pith.science/pith/EEDAZTGMB7ZOWT5VQTRLPFDCPR.json","view_paper":"https://pith.science/paper/EEDAZTGM","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=cond-mat/0605452&json=true","fetch_graph":"https://pith.science/api/pith-number/EEDAZTGMB7ZOWT5VQTRLPFDCPR/graph.json","fetch_events":"https://pith.science/api/pith-number/EEDAZTGMB7ZOWT5VQTRLPFDCPR/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/EEDAZTGMB7ZOWT5VQTRLPFDCPR/action/timestamp_anchor","attest_storage":"https://pith.science/pith/EEDAZTGMB7ZOWT5VQTRLPFDCPR/action/storage_attestation","attest_author":"https://pith.science/pith/EEDAZTGMB7ZOWT5VQTRLPFDCPR/action/author_attestation","sign_citation":"https://pith.science/pith/EEDAZTGMB7ZOWT5VQTRLPFDCPR/action/citation_signature","submit_replication":"https://pith.science/pith/EEDAZTGMB7ZOWT5VQTRLPFDCPR/action/replication_record"}},"created_at":"2026-05-18T04:39:51.587600+00:00","updated_at":"2026-05-18T04:39:51.587600+00:00"}