{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:54DKMHDCKZ6RKLVFLCBOXAXRYW","short_pith_number":"pith:54DKMHDC","schema_version":"1.0","canonical_sha256":"ef06a61c62567d152ea55882eb82f1c589cf44ff2eb7dc266073e64bc7443d4f","source":{"kind":"arxiv","id":"1506.02414","version":1},"attestation_state":"computed","paper":{"title":"Cross Ranking of Cities and Regions: Population vs. Income","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.soc-ph"],"primary_cat":"q-fin.EC","authors_text":"Marcel Ausloos, Roy Cerqueti","submitted_at":"2015-06-08T09:32:40Z","abstract_excerpt":"This paper explores the relationship between the inner economical structure of communities and their population distribution through a rank-rank analysis of official data, along statistical physics ideas within two techniques. The data is taken on Italian cities. The analysis is performed both at a global (national) and at a more local (regional) level in order to distinguish \"macro\" and \"micro\" aspects. First, the rank-size rule is found not to be a standard power law, as in many other studies, but a doubly decreasing power law. Next, the Kendall and the Spearman rank correlation coefficients"},"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":"1506.02414","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.EC","submitted_at":"2015-06-08T09:32:40Z","cross_cats_sorted":["physics.soc-ph"],"title_canon_sha256":"826db7b70c6f180d4a44afb3889ff6d26fe36dcda211c06fe02bf283be931e86","abstract_canon_sha256":"6cddee60b91d9bdd012e16e86395045f9cd43db52796e3f1ced816a3711548e9"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:35:20.088670Z","signature_b64":"6icf9qSJbiYhJWNOwBV56L0g/tQozHFxcmJ9XkHQBtZ33rrcLsKvtx1y0rCW9LdyyB02R7Y6G2TkLYd8qZBHBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ef06a61c62567d152ea55882eb82f1c589cf44ff2eb7dc266073e64bc7443d4f","last_reissued_at":"2026-05-18T01:35:20.087693Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:35:20.087693Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Cross Ranking of Cities and Regions: Population vs. Income","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.soc-ph"],"primary_cat":"q-fin.EC","authors_text":"Marcel Ausloos, Roy Cerqueti","submitted_at":"2015-06-08T09:32:40Z","abstract_excerpt":"This paper explores the relationship between the inner economical structure of communities and their population distribution through a rank-rank analysis of official data, along statistical physics ideas within two techniques. The data is taken on Italian cities. The analysis is performed both at a global (national) and at a more local (regional) level in order to distinguish \"macro\" and \"micro\" aspects. First, the rank-size rule is found not to be a standard power law, as in many other studies, but a doubly decreasing power law. Next, the Kendall and the Spearman rank correlation coefficients"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.02414","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":"1506.02414","created_at":"2026-05-18T01:35:20.087880+00:00"},{"alias_kind":"arxiv_version","alias_value":"1506.02414v1","created_at":"2026-05-18T01:35:20.087880+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.02414","created_at":"2026-05-18T01:35:20.087880+00:00"},{"alias_kind":"pith_short_12","alias_value":"54DKMHDCKZ6R","created_at":"2026-05-18T12:29:05.191682+00:00"},{"alias_kind":"pith_short_16","alias_value":"54DKMHDCKZ6RKLVF","created_at":"2026-05-18T12:29:05.191682+00:00"},{"alias_kind":"pith_short_8","alias_value":"54DKMHDC","created_at":"2026-05-18T12:29:05.191682+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/54DKMHDCKZ6RKLVFLCBOXAXRYW","json":"https://pith.science/pith/54DKMHDCKZ6RKLVFLCBOXAXRYW.json","graph_json":"https://pith.science/api/pith-number/54DKMHDCKZ6RKLVFLCBOXAXRYW/graph.json","events_json":"https://pith.science/api/pith-number/54DKMHDCKZ6RKLVFLCBOXAXRYW/events.json","paper":"https://pith.science/paper/54DKMHDC"},"agent_actions":{"view_html":"https://pith.science/pith/54DKMHDCKZ6RKLVFLCBOXAXRYW","download_json":"https://pith.science/pith/54DKMHDCKZ6RKLVFLCBOXAXRYW.json","view_paper":"https://pith.science/paper/54DKMHDC","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1506.02414&json=true","fetch_graph":"https://pith.science/api/pith-number/54DKMHDCKZ6RKLVFLCBOXAXRYW/graph.json","fetch_events":"https://pith.science/api/pith-number/54DKMHDCKZ6RKLVFLCBOXAXRYW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/54DKMHDCKZ6RKLVFLCBOXAXRYW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/54DKMHDCKZ6RKLVFLCBOXAXRYW/action/storage_attestation","attest_author":"https://pith.science/pith/54DKMHDCKZ6RKLVFLCBOXAXRYW/action/author_attestation","sign_citation":"https://pith.science/pith/54DKMHDCKZ6RKLVFLCBOXAXRYW/action/citation_signature","submit_replication":"https://pith.science/pith/54DKMHDCKZ6RKLVFLCBOXAXRYW/action/replication_record"}},"created_at":"2026-05-18T01:35:20.087880+00:00","updated_at":"2026-05-18T01:35:20.087880+00:00"}