{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:E6CMGTG3BQGWEPVO3YYVZAVLY4","short_pith_number":"pith:E6CMGTG3","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"},"canonical_sha256":"2784c34cdb0c0d623eaede315c82abc72ca1ca0a63f9b9375f18ceff81b9a8c5","source":{"kind":"arxiv","id":"1312.2722","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1312.2722","created_at":"2026-05-18T03:05:09Z"},{"alias_kind":"arxiv_version","alias_value":"1312.2722v1","created_at":"2026-05-18T03:05:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.2722","created_at":"2026-05-18T03:05:09Z"},{"alias_kind":"pith_short_12","alias_value":"E6CMGTG3BQGW","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_16","alias_value":"E6CMGTG3BQGWEPVO","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_8","alias_value":"E6CMGTG3","created_at":"2026-05-18T12:27:43Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:E6CMGTG3BQGWEPVO3YYVZAVLY4","target":"record","payload":{"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"},"canonical_sha256":"2784c34cdb0c0d623eaede315c82abc72ca1ca0a63f9b9375f18ceff81b9a8c5","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"},"source_kind":"arxiv","source_id":"1312.2722","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:05:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oUeT4VHRHKHqKg8WJVijzIBrygkuHt+XoPt3nLTlo1fZkVXCYjMUvH4eMzqAeEiHSexLUbnAMORZxqzv20TYBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T21:30:38.521898Z"},"content_sha256":"d79a45d3acaf8a10ef6ad3b2659a3c8823bc40a012771c3b866dc38e656d6d6b","schema_version":"1.0","event_id":"sha256:d79a45d3acaf8a10ef6ad3b2659a3c8823bc40a012771c3b866dc38e656d6d6b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:E6CMGTG3BQGWEPVO3YYVZAVLY4","target":"graph","payload":{"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:05:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"l3gj0echqAzzv2Fiio/c3Mzts4cNZ4jcwlpE2lIHGPEpqY0tuc7DSkQhmZ5jjVZcTmhwPuFIpNPDk5xmW+wuAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T21:30:38.522230Z"},"content_sha256":"6af77701d787963ed65806ef71483d23014f17c31cb0673a77e88ec0c52028bb","schema_version":"1.0","event_id":"sha256:6af77701d787963ed65806ef71483d23014f17c31cb0673a77e88ec0c52028bb"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/E6CMGTG3BQGWEPVO3YYVZAVLY4/bundle.json","state_url":"https://pith.science/pith/E6CMGTG3BQGWEPVO3YYVZAVLY4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/E6CMGTG3BQGWEPVO3YYVZAVLY4/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-29T21:30:38Z","links":{"resolver":"https://pith.science/pith/E6CMGTG3BQGWEPVO3YYVZAVLY4","bundle":"https://pith.science/pith/E6CMGTG3BQGWEPVO3YYVZAVLY4/bundle.json","state":"https://pith.science/pith/E6CMGTG3BQGWEPVO3YYVZAVLY4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/E6CMGTG3BQGWEPVO3YYVZAVLY4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:E6CMGTG3BQGWEPVO3YYVZAVLY4","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":"23c2b982ada597775ed3d8a37552af2452efac43cafd5808facc33e4aeea9dda","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.GN","submitted_at":"2013-12-10T09:27:05Z","title_canon_sha256":"dc87407f40e3c8ad8170d611fb0b3d1ebb477365996f82750d3a9e40017154b8"},"schema_version":"1.0","source":{"id":"1312.2722","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1312.2722","created_at":"2026-05-18T03:05:09Z"},{"alias_kind":"arxiv_version","alias_value":"1312.2722v1","created_at":"2026-05-18T03:05:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.2722","created_at":"2026-05-18T03:05:09Z"},{"alias_kind":"pith_short_12","alias_value":"E6CMGTG3BQGW","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_16","alias_value":"E6CMGTG3BQGWEPVO","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_8","alias_value":"E6CMGTG3","created_at":"2026-05-18T12:27:43Z"}],"graph_snapshots":[{"event_id":"sha256:6af77701d787963ed65806ef71483d23014f17c31cb0673a77e88ec0c52028bb","target":"graph","created_at":"2026-05-18T03:05:09Z","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":"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.","authors_text":"Maciej Jagielski, Ryszard Kutner","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.GN","submitted_at":"2013-12-10T09:27:05Z","title":"Modelling of the European Union income distribution by extended Yakovenko formula"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.2722","kind":"arxiv","version":1},"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:d79a45d3acaf8a10ef6ad3b2659a3c8823bc40a012771c3b866dc38e656d6d6b","target":"record","created_at":"2026-05-18T03:05:09Z","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":"23c2b982ada597775ed3d8a37552af2452efac43cafd5808facc33e4aeea9dda","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.GN","submitted_at":"2013-12-10T09:27:05Z","title_canon_sha256":"dc87407f40e3c8ad8170d611fb0b3d1ebb477365996f82750d3a9e40017154b8"},"schema_version":"1.0","source":{"id":"1312.2722","kind":"arxiv","version":1}},"canonical_sha256":"2784c34cdb0c0d623eaede315c82abc72ca1ca0a63f9b9375f18ceff81b9a8c5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2784c34cdb0c0d623eaede315c82abc72ca1ca0a63f9b9375f18ceff81b9a8c5","first_computed_at":"2026-05-18T03:05:09.011864Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:05:09.011864Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"aRU7t91RYP74SGbGkEwqced3svvKGDf2VghsqKwlt+AaJRuXIp+d4uCQpU7v6eJbVTeayeI4TWy17Zj4MoNkCg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:05:09.012502Z","signed_message":"canonical_sha256_bytes"},"source_id":"1312.2722","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d79a45d3acaf8a10ef6ad3b2659a3c8823bc40a012771c3b866dc38e656d6d6b","sha256:6af77701d787963ed65806ef71483d23014f17c31cb0673a77e88ec0c52028bb"],"state_sha256":"5d7cf3fc95c2766267f3b2585fb75aef61a2536484f3f3cfdcb7e0dbc1754013"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1+M0CfgXZXAL3hM6WFesUBJ1kfm+k28xxcSmqGqS282IUYqQbpdY30ZFmy+SmNvz6YJQJedbZhFArDayOzQ1BA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-29T21:30:38.524020Z","bundle_sha256":"9c7d2a2a773a647ea7fe82891e5a6754f86f4fe96e607fc46786ad7a75ca0329"}}