{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:QKDSYIMU6Z5CLEOQTKTK65FWN4","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":"03e935eb9f8d3272fd64b32f8a9762df4fe0483821854ef2c12f82ef14e1f997","cross_cats_sorted":["cs.MA","nlin.AO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.GN","submitted_at":"2011-03-29T16:29:42Z","title_canon_sha256":"e18943ff1a55c6598f3932e0e7180f653329e97effa646ef9f8d761cfb748410"},"schema_version":"1.0","source":{"id":"1103.5703","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1103.5703","created_at":"2026-05-18T04:21:50Z"},{"alias_kind":"arxiv_version","alias_value":"1103.5703v3","created_at":"2026-05-18T04:21:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1103.5703","created_at":"2026-05-18T04:21:50Z"},{"alias_kind":"pith_short_12","alias_value":"QKDSYIMU6Z5C","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_16","alias_value":"QKDSYIMU6Z5CLEOQ","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_8","alias_value":"QKDSYIMU","created_at":"2026-05-18T12:26:39Z"}],"graph_snapshots":[{"event_id":"sha256:4a538ef1b6c57b9da491913e3e18a554d6b617afab1c9dec39766310b9370f0a","target":"graph","created_at":"2026-05-18T04:21:50Z","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":"In simulations of some economic gas-like models, the asymptotic regime shows an exponential wealth distribution, independently of the initial wealth distribution given to the system. The appearance of this statistical equilibrium for this type of gas-like models is explained in a rigorous analytical way.","authors_text":"Jose-Luis Lopez, Ricardo Lopez-Ruiz, Xavier Calbet","cross_cats":["cs.MA","nlin.AO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.GN","submitted_at":"2011-03-29T16:29:42Z","title":"Exponential wealth distribution in a random market. A rigorous explanation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1103.5703","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:a9f2b6c850ab666c22b9ae0cabb17707dce36440aba27035b6ff7843ed5476f2","target":"record","created_at":"2026-05-18T04:21:50Z","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":"03e935eb9f8d3272fd64b32f8a9762df4fe0483821854ef2c12f82ef14e1f997","cross_cats_sorted":["cs.MA","nlin.AO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.GN","submitted_at":"2011-03-29T16:29:42Z","title_canon_sha256":"e18943ff1a55c6598f3932e0e7180f653329e97effa646ef9f8d761cfb748410"},"schema_version":"1.0","source":{"id":"1103.5703","kind":"arxiv","version":3}},"canonical_sha256":"82872c2194f67a2591d09aa6af74b66f14b39792eee3e9b52d06875a9f804934","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"82872c2194f67a2591d09aa6af74b66f14b39792eee3e9b52d06875a9f804934","first_computed_at":"2026-05-18T04:21:50.369055Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:21:50.369055Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9HxOTVynECK0b+R0RZfSYBtui7foDEDWai7+CYo+nkgHRbQq9qi0foxE5Ha/aJbX3hzZ30E48i+MA3njTg+AAw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:21:50.369696Z","signed_message":"canonical_sha256_bytes"},"source_id":"1103.5703","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a9f2b6c850ab666c22b9ae0cabb17707dce36440aba27035b6ff7843ed5476f2","sha256:4a538ef1b6c57b9da491913e3e18a554d6b617afab1c9dec39766310b9370f0a"],"state_sha256":"aab8bc313288fe9b192e32c4b4ebdadc7a5b5b7054cf61a3ac4c4ca4a91bbe04"}