{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:AFQFUEVTRAMGKANEL5EA6SCELD","short_pith_number":"pith:AFQFUEVT","canonical_record":{"source":{"id":"1803.02171","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2018-03-06T13:46:34Z","cross_cats_sorted":["econ.GN","math.OC","q-fin.EC","q-fin.GN"],"title_canon_sha256":"0078f9bf735399ba0036815bdf1583878a9331a5735dc6b25dc00ac30f213cde","abstract_canon_sha256":"06c3714e4432c0d87e813798e1cd8a3b7ae5decfc9bf2a0c07d2209ce8eaa090"},"schema_version":"1.0"},"canonical_sha256":"01605a12b388186501a45f480f484458f8aa28ab217a73c8ca886ecc7a640f8d","source":{"kind":"arxiv","id":"1803.02171","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1803.02171","created_at":"2026-05-18T00:02:27Z"},{"alias_kind":"arxiv_version","alias_value":"1803.02171v2","created_at":"2026-05-18T00:02:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.02171","created_at":"2026-05-18T00:02:27Z"},{"alias_kind":"pith_short_12","alias_value":"AFQFUEVTRAMG","created_at":"2026-05-18T12:32:13Z"},{"alias_kind":"pith_short_16","alias_value":"AFQFUEVTRAMGKANE","created_at":"2026-05-18T12:32:13Z"},{"alias_kind":"pith_short_8","alias_value":"AFQFUEVT","created_at":"2026-05-18T12:32:13Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:AFQFUEVTRAMGKANEL5EA6SCELD","target":"record","payload":{"canonical_record":{"source":{"id":"1803.02171","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2018-03-06T13:46:34Z","cross_cats_sorted":["econ.GN","math.OC","q-fin.EC","q-fin.GN"],"title_canon_sha256":"0078f9bf735399ba0036815bdf1583878a9331a5735dc6b25dc00ac30f213cde","abstract_canon_sha256":"06c3714e4432c0d87e813798e1cd8a3b7ae5decfc9bf2a0c07d2209ce8eaa090"},"schema_version":"1.0"},"canonical_sha256":"01605a12b388186501a45f480f484458f8aa28ab217a73c8ca886ecc7a640f8d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:02:27.946619Z","signature_b64":"h7ni4GCCeTOh7MRJZmXJnRM5AuKV5e3J/oIxY16jlY8AGJOI+K6lsxwZKFeR5/e9EDZNOFaZupWzbsgSD1dBDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"01605a12b388186501a45f480f484458f8aa28ab217a73c8ca886ecc7a640f8d","last_reissued_at":"2026-05-18T00:02:27.945929Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:02:27.945929Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1803.02171","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:02:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hsmFIR8ktarKR93JT5Lx892nS88KVc3ppPVC8pizbNOmN/roseqv8XhoakWPE2XxIcGRm+pGVbOSgKknTiEECQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T13:46:54.123847Z"},"content_sha256":"65bacdd56396a7468cf46ebd2c8c2ed95d17e98ff64fea23477cb92885359897","schema_version":"1.0","event_id":"sha256:65bacdd56396a7468cf46ebd2c8c2ed95d17e98ff64fea23477cb92885359897"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:AFQFUEVTRAMGKANEL5EA6SCELD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Kinetic models for optimal control of wealth inequalities","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["econ.GN","math.OC","q-fin.EC","q-fin.GN"],"primary_cat":"physics.soc-ph","authors_text":"Bertram D\\\"uring, Giuseppe Toscani, Lorenzo Pareschi","submitted_at":"2018-03-06T13:46:34Z","abstract_excerpt":"We introduce and discuss optimal control strategies for kinetic models for wealth distribution in a simple market economy, acting to minimize the variance of the wealth density among the population. Our analysis is based on a finite time horizon approximation, or model predictive control, of the corresponding control problem for the microscopic agents' dynamic and results in an alternative theoretical approach to the taxation and redistribution policy at a global level. It is shown that in general the control is able to modify the Pareto index of the stationary solution of the corresponding Bo"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.02171","kind":"arxiv","version":2},"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":"2026-05-18T00:02:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XdY0OgbiAEXxn+9aPTOFu1c+KNSrEkxs8ZYDQ9e66wBosZPjHsbjJzVdGPvBI31ofAMqx1rM9pOUu0XmIc1tAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T13:46:54.124196Z"},"content_sha256":"f445ac0c5d3471e3f83da3c066b1b265eb4e7615993de965796ac92546a1744a","schema_version":"1.0","event_id":"sha256:f445ac0c5d3471e3f83da3c066b1b265eb4e7615993de965796ac92546a1744a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/AFQFUEVTRAMGKANEL5EA6SCELD/bundle.json","state_url":"https://pith.science/pith/AFQFUEVTRAMGKANEL5EA6SCELD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/AFQFUEVTRAMGKANEL5EA6SCELD/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":"2026-05-28T13:46:54Z","links":{"resolver":"https://pith.science/pith/AFQFUEVTRAMGKANEL5EA6SCELD","bundle":"https://pith.science/pith/AFQFUEVTRAMGKANEL5EA6SCELD/bundle.json","state":"https://pith.science/pith/AFQFUEVTRAMGKANEL5EA6SCELD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/AFQFUEVTRAMGKANEL5EA6SCELD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:AFQFUEVTRAMGKANEL5EA6SCELD","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":"06c3714e4432c0d87e813798e1cd8a3b7ae5decfc9bf2a0c07d2209ce8eaa090","cross_cats_sorted":["econ.GN","math.OC","q-fin.EC","q-fin.GN"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2018-03-06T13:46:34Z","title_canon_sha256":"0078f9bf735399ba0036815bdf1583878a9331a5735dc6b25dc00ac30f213cde"},"schema_version":"1.0","source":{"id":"1803.02171","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1803.02171","created_at":"2026-05-18T00:02:27Z"},{"alias_kind":"arxiv_version","alias_value":"1803.02171v2","created_at":"2026-05-18T00:02:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.02171","created_at":"2026-05-18T00:02:27Z"},{"alias_kind":"pith_short_12","alias_value":"AFQFUEVTRAMG","created_at":"2026-05-18T12:32:13Z"},{"alias_kind":"pith_short_16","alias_value":"AFQFUEVTRAMGKANE","created_at":"2026-05-18T12:32:13Z"},{"alias_kind":"pith_short_8","alias_value":"AFQFUEVT","created_at":"2026-05-18T12:32:13Z"}],"graph_snapshots":[{"event_id":"sha256:f445ac0c5d3471e3f83da3c066b1b265eb4e7615993de965796ac92546a1744a","target":"graph","created_at":"2026-05-18T00:02:27Z","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 introduce and discuss optimal control strategies for kinetic models for wealth distribution in a simple market economy, acting to minimize the variance of the wealth density among the population. Our analysis is based on a finite time horizon approximation, or model predictive control, of the corresponding control problem for the microscopic agents' dynamic and results in an alternative theoretical approach to the taxation and redistribution policy at a global level. It is shown that in general the control is able to modify the Pareto index of the stationary solution of the corresponding Bo","authors_text":"Bertram D\\\"uring, Giuseppe Toscani, Lorenzo Pareschi","cross_cats":["econ.GN","math.OC","q-fin.EC","q-fin.GN"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2018-03-06T13:46:34Z","title":"Kinetic models for optimal control of wealth inequalities"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.02171","kind":"arxiv","version":2},"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":"sha256:65bacdd56396a7468cf46ebd2c8c2ed95d17e98ff64fea23477cb92885359897","target":"record","created_at":"2026-05-18T00:02:27Z","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":"06c3714e4432c0d87e813798e1cd8a3b7ae5decfc9bf2a0c07d2209ce8eaa090","cross_cats_sorted":["econ.GN","math.OC","q-fin.EC","q-fin.GN"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2018-03-06T13:46:34Z","title_canon_sha256":"0078f9bf735399ba0036815bdf1583878a9331a5735dc6b25dc00ac30f213cde"},"schema_version":"1.0","source":{"id":"1803.02171","kind":"arxiv","version":2}},"canonical_sha256":"01605a12b388186501a45f480f484458f8aa28ab217a73c8ca886ecc7a640f8d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"01605a12b388186501a45f480f484458f8aa28ab217a73c8ca886ecc7a640f8d","first_computed_at":"2026-05-18T00:02:27.945929Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:02:27.945929Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"h7ni4GCCeTOh7MRJZmXJnRM5AuKV5e3J/oIxY16jlY8AGJOI+K6lsxwZKFeR5/e9EDZNOFaZupWzbsgSD1dBDg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:02:27.946619Z","signed_message":"canonical_sha256_bytes"},"source_id":"1803.02171","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:65bacdd56396a7468cf46ebd2c8c2ed95d17e98ff64fea23477cb92885359897","sha256:f445ac0c5d3471e3f83da3c066b1b265eb4e7615993de965796ac92546a1744a"],"state_sha256":"4c2270441017e51d03c5f7698699b545531b4322112747c05d8c470d340f98dd"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CBzWu9bvOzD5dAs5GOMGNqvTUn9JDhRhHzNxAxH814PD+9xL1wdyEU4+kS9Ea54w4qWGS6zR9VumyOpP9xGsAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T13:46:54.126230Z","bundle_sha256":"2b563ae2dc3c3ff61c243b3f741d26c7740d19b347e602614c614c6f5716895f"}}