{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:2SE52CPYNAAEAOSF7UEHQ3LXC3","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":"8873bcb1285059baa276d0eecabde7e9cd7bc305e76633db3ac5bf70cdbf79de","cross_cats_sorted":["cond-mat.dis-nn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2010-01-28T23:04:07Z","title_canon_sha256":"d9aa6831f5be7080a89cca098e326eb6ed9be1183c068368c39a35fedffc27f7"},"schema_version":"1.0","source":{"id":"1001.5289","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1001.5289","created_at":"2026-05-18T01:18:15Z"},{"alias_kind":"arxiv_version","alias_value":"1001.5289v2","created_at":"2026-05-18T01:18:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1001.5289","created_at":"2026-05-18T01:18:15Z"},{"alias_kind":"pith_short_12","alias_value":"2SE52CPYNAAE","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_16","alias_value":"2SE52CPYNAAEAOSF","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_8","alias_value":"2SE52CPY","created_at":"2026-05-18T12:26:03Z"}],"graph_snapshots":[{"event_id":"sha256:9110f94e455102a8887d89b935a09b8a1f346f8ab0ef9801e8f9e2d1e7db6346","target":"graph","created_at":"2026-05-18T01:18:15Z","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":"The distribution of the population of cities has attracted a great deal of attention, in part because it sharply constrains models of local growth. However, to this day, there is no consensus on the distribution below the very upper tail, because available data need to rely on the \"legal\" rather than \"economic\" definition of cities for medium and small cities. To remedy this difficulty, in this work we construct cities \"from the bottom up\" by clustering populated areas obtained from high-resolution data. This method allows us to investigate the population and area of cities for urban agglomera","authors_text":"Diego Rybski, Hernan A. Makse, Hernan Rozenfeld, Xavier Gabaix","cross_cats":["cond-mat.dis-nn"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2010-01-28T23:04:07Z","title":"The Area and Population of Cities: New Insights from a Different Perspective on Cities"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1001.5289","kind":"arxiv","version":2},"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":"sha256:0ee18d8d95e5bb7e0745c3e190a75375347135d14ccca5a294eb750905247a0d","target":"record","created_at":"2026-05-18T01:18:15Z","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":"8873bcb1285059baa276d0eecabde7e9cd7bc305e76633db3ac5bf70cdbf79de","cross_cats_sorted":["cond-mat.dis-nn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2010-01-28T23:04:07Z","title_canon_sha256":"d9aa6831f5be7080a89cca098e326eb6ed9be1183c068368c39a35fedffc27f7"},"schema_version":"1.0","source":{"id":"1001.5289","kind":"arxiv","version":2}},"canonical_sha256":"d489dd09f86800403a45fd08786d7716fdbf87fcb0888d57e04e427b681d69e7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d489dd09f86800403a45fd08786d7716fdbf87fcb0888d57e04e427b681d69e7","first_computed_at":"2026-05-18T01:18:15.565248Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:18:15.565248Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"eMqF2wJ0kbqrVHHY5c4WIEu8D7B6OfhbaDvbHqm7VuoSWsvjDUf6RY6mPIJFcS7+b38bfMHaPw7LMLtXNBdmDw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:18:15.565999Z","signed_message":"canonical_sha256_bytes"},"source_id":"1001.5289","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0ee18d8d95e5bb7e0745c3e190a75375347135d14ccca5a294eb750905247a0d","sha256:9110f94e455102a8887d89b935a09b8a1f346f8ab0ef9801e8f9e2d1e7db6346"],"state_sha256":"974fccfe642124c1fa7cca8695e85af4d74c9b516461551115a1a9cfebf41389"}