{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:TKWP23F5ESMRBOTWRAZNPSWXD6","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":"d6050b724a5d986fa3d11398fb1ec04261d32221314bfaafbc2c8f33b22cd52f","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.GN","submitted_at":"2011-09-02T12:06:58Z","title_canon_sha256":"0b159822abf724168f6270444d052de85149eccb4d23c1ee3231daf8b1fa0f23"},"schema_version":"1.0","source":{"id":"1109.0891","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1109.0891","created_at":"2026-05-18T03:51:47Z"},{"alias_kind":"arxiv_version","alias_value":"1109.0891v3","created_at":"2026-05-18T03:51:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.0891","created_at":"2026-05-18T03:51:47Z"},{"alias_kind":"pith_short_12","alias_value":"TKWP23F5ESMR","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_16","alias_value":"TKWP23F5ESMRBOTW","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_8","alias_value":"TKWP23F5","created_at":"2026-05-18T12:26:42Z"}],"graph_snapshots":[{"event_id":"sha256:5c94418ec12683904d595bec8b33dcf0ea96ee9380c8252acba8634ee4a2b1a2","target":"graph","created_at":"2026-05-18T03:51:47Z","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 build a statistical ensemble representation of two economic models describing respectively, in simplified terms, a payment system and a credit market. To this purpose we adopt the Boltzmann-Gibbs distribution where the role of the Hamiltonian is taken by the total money supply (i.e. including money created from debt) of a set of interacting economic agents. As a result, we can read the main thermodynamic quantities in terms of monetary ones. In particular, we define for the credit market model a work term which is related to the impact of monetary policy on credit creation. Furthermore, wit","authors_text":"Andrea Lionetto, Leonardo Bargigli, Michele Longo, Stefano Viaggiu","cross_cats":["cond-mat.stat-mech"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.GN","submitted_at":"2011-09-02T12:06:58Z","title":"Statistical ensembles for money and debt"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.0891","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":"sha256:34022ae33ce960fb042d63f3fcbd02efe02a05ee44e103104819580120a12951","target":"record","created_at":"2026-05-18T03:51:47Z","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":"d6050b724a5d986fa3d11398fb1ec04261d32221314bfaafbc2c8f33b22cd52f","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.GN","submitted_at":"2011-09-02T12:06:58Z","title_canon_sha256":"0b159822abf724168f6270444d052de85149eccb4d23c1ee3231daf8b1fa0f23"},"schema_version":"1.0","source":{"id":"1109.0891","kind":"arxiv","version":3}},"canonical_sha256":"9aacfd6cbd249910ba768832d7cad71fbd13312677663849962d4c85c583df72","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9aacfd6cbd249910ba768832d7cad71fbd13312677663849962d4c85c583df72","first_computed_at":"2026-05-18T03:51:47.290012Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:51:47.290012Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"GWecqI0orLAeZYWV8sTZwNQID6r0M/B3Rltz6f35IDDy8Jv3sDbTyZ7r9832/DPbVH0OZ3B2v8QDqA6h9UKxAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:51:47.290432Z","signed_message":"canonical_sha256_bytes"},"source_id":"1109.0891","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:34022ae33ce960fb042d63f3fcbd02efe02a05ee44e103104819580120a12951","sha256:5c94418ec12683904d595bec8b33dcf0ea96ee9380c8252acba8634ee4a2b1a2"],"state_sha256":"d7a098584addd5f5801db195aa056fb8afa7a33f12bd81448d9f80a10e95c600"}