{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:UUQLPXPIK2OZSBOGYP64KNIBZO","short_pith_number":"pith:UUQLPXPI","canonical_record":{"source":{"id":"1407.7447","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.AO","submitted_at":"2014-07-28T15:34:33Z","cross_cats_sorted":["q-fin.GN"],"title_canon_sha256":"08e58a4f4ffee1a29ba03e2710332aed95360c78ddc4e5eee7f33b24d009e8bf","abstract_canon_sha256":"8910ba1fa975fc4704f3556de56c0378b4e2f7b6355690ed0fb2e101c019e5a9"},"schema_version":"1.0"},"canonical_sha256":"a520b7dde8569d9905c6c3fdc53501cba3167397c8c572e2691ec25a73ad34c0","source":{"kind":"arxiv","id":"1407.7447","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1407.7447","created_at":"2026-05-18T02:46:23Z"},{"alias_kind":"arxiv_version","alias_value":"1407.7447v1","created_at":"2026-05-18T02:46:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.7447","created_at":"2026-05-18T02:46:23Z"},{"alias_kind":"pith_short_12","alias_value":"UUQLPXPIK2OZ","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_16","alias_value":"UUQLPXPIK2OZSBOG","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_8","alias_value":"UUQLPXPI","created_at":"2026-05-18T12:28:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:UUQLPXPIK2OZSBOGYP64KNIBZO","target":"record","payload":{"canonical_record":{"source":{"id":"1407.7447","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.AO","submitted_at":"2014-07-28T15:34:33Z","cross_cats_sorted":["q-fin.GN"],"title_canon_sha256":"08e58a4f4ffee1a29ba03e2710332aed95360c78ddc4e5eee7f33b24d009e8bf","abstract_canon_sha256":"8910ba1fa975fc4704f3556de56c0378b4e2f7b6355690ed0fb2e101c019e5a9"},"schema_version":"1.0"},"canonical_sha256":"a520b7dde8569d9905c6c3fdc53501cba3167397c8c572e2691ec25a73ad34c0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:46:23.142587Z","signature_b64":"+wMjExW8Pf0QJzgy4cyJrLxH1sGoqKreiCPPE27C8Wizg+OiQ9dBqC8vnGd63g5p2opvmpscvGf3g424lZoWDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a520b7dde8569d9905c6c3fdc53501cba3167397c8c572e2691ec25a73ad34c0","last_reissued_at":"2026-05-18T02:46:23.142179Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:46:23.142179Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1407.7447","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":"2026-05-18T02:46:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"i+bepMeDdfCJoCc8d09icgZxSADVKsZuai8n88FFDEP0NcPKygPasSy10CGpx1f6xFo1rIRhlr0mTtma8KqyDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T15:51:41.475337Z"},"content_sha256":"3edcda2925e0fdb19ff8972d54d24be3ece2b594e0d5b88960ccd83fe9f50880","schema_version":"1.0","event_id":"sha256:3edcda2925e0fdb19ff8972d54d24be3ece2b594e0d5b88960ccd83fe9f50880"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:UUQLPXPIK2OZSBOGYP64KNIBZO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Study of a model for the distribution of wealth","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["q-fin.GN"],"primary_cat":"nlin.AO","authors_text":"Ricardo Lopez-Ruiz, Yves Pomeau","submitted_at":"2014-07-28T15:34:33Z","abstract_excerpt":"An equation for the evolution of the distribution of wealth in a population of economic agents making binary transactions with a constant total amount of \"money\" has recently been proposed by one of us (RLR). This equation takes the form of an iterated nonlinear map of the distribution of wealth. The equilibrium distribution is known and takes a rather simple form. If this distribution is such that, at some time, the higher momenta of the distribution exist, one can find exactly their law of evolution. A seemingly simple extension of the laws of exchange yields also explicit iteration formulae"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.7447","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":"2026-05-18T02:46:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"j1DYtm4IIK5Qu3tiWaRpJnxTjVX8sVUOXdbo3sUJrkVlMpatLEZ9Ji/s8L9UCvKVBVp0NpPdwfpRxBYVRtCeBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T15:51:41.475690Z"},"content_sha256":"a8047ff4a1e4c1565a1d700b1068ca089883aaf88eef03fe92e6e22e3f10a86d","schema_version":"1.0","event_id":"sha256:a8047ff4a1e4c1565a1d700b1068ca089883aaf88eef03fe92e6e22e3f10a86d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UUQLPXPIK2OZSBOGYP64KNIBZO/bundle.json","state_url":"https://pith.science/pith/UUQLPXPIK2OZSBOGYP64KNIBZO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UUQLPXPIK2OZSBOGYP64KNIBZO/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":"2026-06-01T15:51:41Z","links":{"resolver":"https://pith.science/pith/UUQLPXPIK2OZSBOGYP64KNIBZO","bundle":"https://pith.science/pith/UUQLPXPIK2OZSBOGYP64KNIBZO/bundle.json","state":"https://pith.science/pith/UUQLPXPIK2OZSBOGYP64KNIBZO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UUQLPXPIK2OZSBOGYP64KNIBZO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:UUQLPXPIK2OZSBOGYP64KNIBZO","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":"8910ba1fa975fc4704f3556de56c0378b4e2f7b6355690ed0fb2e101c019e5a9","cross_cats_sorted":["q-fin.GN"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.AO","submitted_at":"2014-07-28T15:34:33Z","title_canon_sha256":"08e58a4f4ffee1a29ba03e2710332aed95360c78ddc4e5eee7f33b24d009e8bf"},"schema_version":"1.0","source":{"id":"1407.7447","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1407.7447","created_at":"2026-05-18T02:46:23Z"},{"alias_kind":"arxiv_version","alias_value":"1407.7447v1","created_at":"2026-05-18T02:46:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.7447","created_at":"2026-05-18T02:46:23Z"},{"alias_kind":"pith_short_12","alias_value":"UUQLPXPIK2OZ","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_16","alias_value":"UUQLPXPIK2OZSBOG","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_8","alias_value":"UUQLPXPI","created_at":"2026-05-18T12:28:52Z"}],"graph_snapshots":[{"event_id":"sha256:a8047ff4a1e4c1565a1d700b1068ca089883aaf88eef03fe92e6e22e3f10a86d","target":"graph","created_at":"2026-05-18T02:46:23Z","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":"An equation for the evolution of the distribution of wealth in a population of economic agents making binary transactions with a constant total amount of \"money\" has recently been proposed by one of us (RLR). This equation takes the form of an iterated nonlinear map of the distribution of wealth. The equilibrium distribution is known and takes a rather simple form. If this distribution is such that, at some time, the higher momenta of the distribution exist, one can find exactly their law of evolution. A seemingly simple extension of the laws of exchange yields also explicit iteration formulae","authors_text":"Ricardo Lopez-Ruiz, Yves Pomeau","cross_cats":["q-fin.GN"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.AO","submitted_at":"2014-07-28T15:34:33Z","title":"Study of a model for the distribution of wealth"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.7447","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":"sha256:3edcda2925e0fdb19ff8972d54d24be3ece2b594e0d5b88960ccd83fe9f50880","target":"record","created_at":"2026-05-18T02:46:23Z","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":"8910ba1fa975fc4704f3556de56c0378b4e2f7b6355690ed0fb2e101c019e5a9","cross_cats_sorted":["q-fin.GN"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.AO","submitted_at":"2014-07-28T15:34:33Z","title_canon_sha256":"08e58a4f4ffee1a29ba03e2710332aed95360c78ddc4e5eee7f33b24d009e8bf"},"schema_version":"1.0","source":{"id":"1407.7447","kind":"arxiv","version":1}},"canonical_sha256":"a520b7dde8569d9905c6c3fdc53501cba3167397c8c572e2691ec25a73ad34c0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a520b7dde8569d9905c6c3fdc53501cba3167397c8c572e2691ec25a73ad34c0","first_computed_at":"2026-05-18T02:46:23.142179Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:46:23.142179Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+wMjExW8Pf0QJzgy4cyJrLxH1sGoqKreiCPPE27C8Wizg+OiQ9dBqC8vnGd63g5p2opvmpscvGf3g424lZoWDg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:46:23.142587Z","signed_message":"canonical_sha256_bytes"},"source_id":"1407.7447","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3edcda2925e0fdb19ff8972d54d24be3ece2b594e0d5b88960ccd83fe9f50880","sha256:a8047ff4a1e4c1565a1d700b1068ca089883aaf88eef03fe92e6e22e3f10a86d"],"state_sha256":"c7ce3553d4a97c73393754aa5f2aa76b580c520c371a64e33b1a875d40187d37"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oRkHYb8t2iBbyT0Wd8J6Y9VbTb1QaRif53aGGgVCdSOFbvo14nDxDUKUpRh2xhxx/vqIdFZmcwBQpa/MIrPdCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T15:51:41.477622Z","bundle_sha256":"6f92260a810cdee2e2bac9efe6c4bea72a45d8df9be7739559bca0033a23167b"}}