{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:V43PLCCV2JLQSTR4QM33MNWU5J","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":"f0295935ca5db3305248e2bf69ee638ec72e35d36909502691a7901a8f14d26e","cross_cats_sorted":["physics.soc-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.GN","submitted_at":"2010-12-09T09:07:36Z","title_canon_sha256":"a22ad99e044936beacd4a928647b17dfc3411d016318dbf3ffc0e92406176f72"},"schema_version":"1.0","source":{"id":"1012.2279","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1012.2279","created_at":"2026-05-18T04:25:02Z"},{"alias_kind":"arxiv_version","alias_value":"1012.2279v3","created_at":"2026-05-18T04:25:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1012.2279","created_at":"2026-05-18T04:25:02Z"},{"alias_kind":"pith_short_12","alias_value":"V43PLCCV2JLQ","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_16","alias_value":"V43PLCCV2JLQSTR4","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_8","alias_value":"V43PLCCV","created_at":"2026-05-18T12:26:15Z"}],"graph_snapshots":[{"event_id":"sha256:da680ab22809ee7f5bd3ba24a6bb6246359cac301ddb1f6443ae4870a2a66a9e","target":"graph","created_at":"2026-05-18T04:25:02Z","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":"This paper highlights the size-dependency of income distributions, i.e. the income distribution curves versus the population of a country systematically. By using the generalized Lotka-Volterra model to fit the empirical income data in the United States during 1996-2007, we found an important parameter $\\lambda$ can scale with a $\\beta$ power of the size (population) of U.S. in that year. We pointed out that the size-dependency of the income distributions, which is a very important property but seldom addressed by previous studies, has two non-trivial implications: (1) the allometric growth pa","authors_text":"Jiang Zhang, You-Gui Wang","cross_cats":["physics.soc-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.GN","submitted_at":"2010-12-09T09:07:36Z","title":"Size-Dependency of Income Distributions and Its Implications"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1012.2279","kind":"arxiv","version":3},"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":"sha256:846489fa4fac046c1528800782562b63a7ae728ed36acd049da155aa197595c4","target":"record","created_at":"2026-05-18T04:25:02Z","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":"f0295935ca5db3305248e2bf69ee638ec72e35d36909502691a7901a8f14d26e","cross_cats_sorted":["physics.soc-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.GN","submitted_at":"2010-12-09T09:07:36Z","title_canon_sha256":"a22ad99e044936beacd4a928647b17dfc3411d016318dbf3ffc0e92406176f72"},"schema_version":"1.0","source":{"id":"1012.2279","kind":"arxiv","version":3}},"canonical_sha256":"af36f58855d257094e3c8337b636d4ea51a2fe1d0e195e87d9d6ca62cdf4948f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"af36f58855d257094e3c8337b636d4ea51a2fe1d0e195e87d9d6ca62cdf4948f","first_computed_at":"2026-05-18T04:25:02.916023Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:25:02.916023Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"QlpXNhxa+WT3ZkVSgHdrmJ4DhZQZxw5mTV3r0CCJJ8yxA+RxUNCerdvot20PMvRIEVOPNs45Qt217FMC4Vz+BQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:25:02.916550Z","signed_message":"canonical_sha256_bytes"},"source_id":"1012.2279","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:846489fa4fac046c1528800782562b63a7ae728ed36acd049da155aa197595c4","sha256:da680ab22809ee7f5bd3ba24a6bb6246359cac301ddb1f6443ae4870a2a66a9e"],"state_sha256":"1bed3f8922fe092aea91344370f1036018705fa39791fe27bbca4ff03764c199"}