{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2001:OPU3555VFYXL4PRUTD55SVZEHU","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":"8d3b18a1abc5160ed3030def78cebec9eafa4b3defd6acb8c7fba91da8533541","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2001-06-14T13:14:48Z","title_canon_sha256":"639833073064741b3e1c2f7b8a112f1c6105d7602b4149501dcce93cc80007b1"},"schema_version":"1.0","source":{"id":"cond-mat/0106272","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0106272","created_at":"2026-05-18T01:40:07Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0106272v1","created_at":"2026-05-18T01:40:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0106272","created_at":"2026-05-18T01:40:07Z"},{"alias_kind":"pith_short_12","alias_value":"OPU3555VFYXL","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"OPU3555VFYXL4PRU","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"OPU3555V","created_at":"2026-05-18T12:25:50Z"}],"graph_snapshots":[{"event_id":"sha256:7da6314ce7d15440224a25d977093db8ae63b841bbc39541f37d6d126b01ea83","target":"graph","created_at":"2026-05-18T01:40:07Z","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 consider a mean-field dynamical urn model, defined by rules which give the rate at which a ball is drawn from an urn and put in another one, chosen amongst an assembly. At equilibrium, this model possesses a fluid and a condensed phase, separated by a critical line. We present an analytical study of the nonequilibrium properties of the fluctuating number of balls in a given urn, considering successively the temporal evolution of its distribution, of its two-time correlation and response functions, and of the associated \\fd ratio, both along the critical line and in the condensed phase. For ","authors_text":"C. Godreche, J.M. Luck","cross_cats":[],"headline":"","license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2001-06-14T13:14:48Z","title":"Nonequilibrium dynamics of the zeta urn model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0106272","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:bcb5746d360c81f084d6fc0ce691a52d97ff179ee826ac934bdbb9e037bb1289","target":"record","created_at":"2026-05-18T01:40:07Z","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":"8d3b18a1abc5160ed3030def78cebec9eafa4b3defd6acb8c7fba91da8533541","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2001-06-14T13:14:48Z","title_canon_sha256":"639833073064741b3e1c2f7b8a112f1c6105d7602b4149501dcce93cc80007b1"},"schema_version":"1.0","source":{"id":"cond-mat/0106272","kind":"arxiv","version":1}},"canonical_sha256":"73e9bef7b52e2ebe3e3498fbd957243d1212b26238d440dd70fd0bde671fb9be","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"73e9bef7b52e2ebe3e3498fbd957243d1212b26238d440dd70fd0bde671fb9be","first_computed_at":"2026-05-18T01:40:07.184483Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:40:07.184483Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"MWlPN+Ipu0WsLYO/g6DfNEpyoo6PZvgYMTxwsHUKRLVMGoaHeNPrqxOk9BvuW/8AxXiG9fj8QFFiMoPw4gqFCg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:40:07.185135Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/0106272","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bcb5746d360c81f084d6fc0ce691a52d97ff179ee826ac934bdbb9e037bb1289","sha256:7da6314ce7d15440224a25d977093db8ae63b841bbc39541f37d6d126b01ea83"],"state_sha256":"42c7dddc10491cd125048ffbe00b137b26ab4e43f8ff9e18e0096dbb82b572fb"}