{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:E6CMGTG3BQGWEPVO3YYVZAVLY4","short_pith_number":"pith:E6CMGTG3","schema_version":"1.0","canonical_sha256":"2784c34cdb0c0d623eaede315c82abc72ca1ca0a63f9b9375f18ceff81b9a8c5","source":{"kind":"arxiv","id":"1312.2722","version":1},"attestation_state":"computed","paper":{"title":"Modelling of the European Union income distribution by extended Yakovenko formula","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"q-fin.GN","authors_text":"Maciej Jagielski, Ryszard Kutner","submitted_at":"2013-12-10T09:27:05Z","abstract_excerpt":"We found a unified formula for description of the household incomes of all society classes, for instance, for the European Union in years 2005-2010. The formula is more general than well known that of Yakovenko et al. because, it satisfactorily describes not only the household incomes of low- and medium-income society classes but also the household incomes of the high-income society class. As a striking result, we found that the high-income society class almost disappeared in year 2009, in opposite to situation in remaining years, where this class played a significant role."},"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":"1312.2722","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.GN","submitted_at":"2013-12-10T09:27:05Z","cross_cats_sorted":[],"title_canon_sha256":"dc87407f40e3c8ad8170d611fb0b3d1ebb477365996f82750d3a9e40017154b8","abstract_canon_sha256":"23c2b982ada597775ed3d8a37552af2452efac43cafd5808facc33e4aeea9dda"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:05:09.012502Z","signature_b64":"aRU7t91RYP74SGbGkEwqced3svvKGDf2VghsqKwlt+AaJRuXIp+d4uCQpU7v6eJbVTeayeI4TWy17Zj4MoNkCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2784c34cdb0c0d623eaede315c82abc72ca1ca0a63f9b9375f18ceff81b9a8c5","last_reissued_at":"2026-05-18T03:05:09.011864Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:05:09.011864Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Modelling of the European Union income distribution by extended Yakovenko formula","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"q-fin.GN","authors_text":"Maciej Jagielski, Ryszard Kutner","submitted_at":"2013-12-10T09:27:05Z","abstract_excerpt":"We found a unified formula for description of the household incomes of all society classes, for instance, for the European Union in years 2005-2010. The formula is more general than well known that of Yakovenko et al. because, it satisfactorily describes not only the household incomes of low- and medium-income society classes but also the household incomes of the high-income society class. As a striking result, we found that the high-income society class almost disappeared in year 2009, in opposite to situation in remaining years, where this class played a significant role."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.2722","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":"1312.2722","created_at":"2026-05-18T03:05:09.011965+00:00"},{"alias_kind":"arxiv_version","alias_value":"1312.2722v1","created_at":"2026-05-18T03:05:09.011965+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.2722","created_at":"2026-05-18T03:05:09.011965+00:00"},{"alias_kind":"pith_short_12","alias_value":"E6CMGTG3BQGW","created_at":"2026-05-18T12:27:43.054852+00:00"},{"alias_kind":"pith_short_16","alias_value":"E6CMGTG3BQGWEPVO","created_at":"2026-05-18T12:27:43.054852+00:00"},{"alias_kind":"pith_short_8","alias_value":"E6CMGTG3","created_at":"2026-05-18T12:27:43.054852+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/E6CMGTG3BQGWEPVO3YYVZAVLY4","json":"https://pith.science/pith/E6CMGTG3BQGWEPVO3YYVZAVLY4.json","graph_json":"https://pith.science/api/pith-number/E6CMGTG3BQGWEPVO3YYVZAVLY4/graph.json","events_json":"https://pith.science/api/pith-number/E6CMGTG3BQGWEPVO3YYVZAVLY4/events.json","paper":"https://pith.science/paper/E6CMGTG3"},"agent_actions":{"view_html":"https://pith.science/pith/E6CMGTG3BQGWEPVO3YYVZAVLY4","download_json":"https://pith.science/pith/E6CMGTG3BQGWEPVO3YYVZAVLY4.json","view_paper":"https://pith.science/paper/E6CMGTG3","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1312.2722&json=true","fetch_graph":"https://pith.science/api/pith-number/E6CMGTG3BQGWEPVO3YYVZAVLY4/graph.json","fetch_events":"https://pith.science/api/pith-number/E6CMGTG3BQGWEPVO3YYVZAVLY4/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/E6CMGTG3BQGWEPVO3YYVZAVLY4/action/timestamp_anchor","attest_storage":"https://pith.science/pith/E6CMGTG3BQGWEPVO3YYVZAVLY4/action/storage_attestation","attest_author":"https://pith.science/pith/E6CMGTG3BQGWEPVO3YYVZAVLY4/action/author_attestation","sign_citation":"https://pith.science/pith/E6CMGTG3BQGWEPVO3YYVZAVLY4/action/citation_signature","submit_replication":"https://pith.science/pith/E6CMGTG3BQGWEPVO3YYVZAVLY4/action/replication_record"}},"created_at":"2026-05-18T03:05:09.011965+00:00","updated_at":"2026-05-18T03:05:09.011965+00:00"}