{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2000:W2UNDW5OSQ63N4HQEQUAC4GAHM","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":"4c7e3365309418123f95f5bade8fd0d420fc2464eb737e2e5dbdcb3034b02ac8","cross_cats_sorted":["cond-mat.stat-mech"],"license":"","primary_cat":"cond-mat.dis-nn","submitted_at":"2000-03-07T13:36:17Z","title_canon_sha256":"b7274a1d0dda2d1677236d033314234f03b2467d3fb17144233bd37ae8fd2bd9"},"schema_version":"1.0","source":{"id":"cond-mat/0003098","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0003098","created_at":"2026-07-04T16:18:11Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0003098v1","created_at":"2026-07-04T16:18:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0003098","created_at":"2026-07-04T16:18:11Z"},{"alias_kind":"pith_short_12","alias_value":"W2UNDW5OSQ63","created_at":"2026-07-04T16:18:11Z"},{"alias_kind":"pith_short_16","alias_value":"W2UNDW5OSQ63N4HQ","created_at":"2026-07-04T16:18:11Z"},{"alias_kind":"pith_short_8","alias_value":"W2UNDW5O","created_at":"2026-07-04T16:18:11Z"}],"graph_snapshots":[{"event_id":"sha256:49edb96744fd21c736e54cda4fb331a7c1967bdb01bb1afe52359fd52d69a9ea","target":"graph","created_at":"2026-07-04T16:18:11Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/cond-mat/0003098/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We consider the problems of error-correcting codes and image restoration with multiple stages of dynamics. Information extracted from the former stage can be used selectively to improve the performance of the latter one. Analytic results were derived for the mean-field systems using the cavity method. We find that it has the advantage of being tolerant to uncertainties in hyperparameter estimation, as confirmed by simulations.","authors_text":"Hidetoshi Nishimori, K. Y. Michael Wong","cross_cats":["cond-mat.stat-mech"],"headline":"","license":"","primary_cat":"cond-mat.dis-nn","submitted_at":"2000-03-07T13:36:17Z","title":"Error-correcting codes and image restoration with multiple stages of dynamics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0003098","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:b8c7b92140668297fcc968e08d40553ede28d88b9e015e079885e335cf78657f","target":"record","created_at":"2026-07-04T16:18:11Z","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":"4c7e3365309418123f95f5bade8fd0d420fc2464eb737e2e5dbdcb3034b02ac8","cross_cats_sorted":["cond-mat.stat-mech"],"license":"","primary_cat":"cond-mat.dis-nn","submitted_at":"2000-03-07T13:36:17Z","title_canon_sha256":"b7274a1d0dda2d1677236d033314234f03b2467d3fb17144233bd37ae8fd2bd9"},"schema_version":"1.0","source":{"id":"cond-mat/0003098","kind":"arxiv","version":1}},"canonical_sha256":"b6a8d1dbae943db6f0f024280170c03b1345136a7006f069b8d2f3f339e5aae3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b6a8d1dbae943db6f0f024280170c03b1345136a7006f069b8d2f3f339e5aae3","first_computed_at":"2026-07-04T16:18:11.066652Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:18:11.066652Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gdi8odpOlNPv5ksWY0uKokeNWraXBpeGaQLosMQ14IDDurHoa9KOtXBDFm7xxJV+AO+IE5zGluQlIqBSzIqSAA==","signature_status":"signed_v1","signed_at":"2026-07-04T16:18:11.067047Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/0003098","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b8c7b92140668297fcc968e08d40553ede28d88b9e015e079885e335cf78657f","sha256:49edb96744fd21c736e54cda4fb331a7c1967bdb01bb1afe52359fd52d69a9ea"],"state_sha256":"c8a3bfbabcaabb2a0014daf4fe8e585886e7e8b46ef0a190fb12d5de93d63272"}