{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2002:YN7TEG7I7KWHP4VGOEV7VWMWUU","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":"e59b1dc7c54533df39aaeb7f2fbfda6b6a4134469a4c2fdf3eb4b3186d5485ae","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.dis-nn","submitted_at":"2002-09-12T10:16:10Z","title_canon_sha256":"7dc2600d8a6fd25b101cbc6df530a9fbdfd501d78ef04efb6062c89ed4832e6c"},"schema_version":"1.0","source":{"id":"cond-mat/0209282","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0209282","created_at":"2026-05-18T01:40:02Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0209282v1","created_at":"2026-05-18T01:40:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0209282","created_at":"2026-05-18T01:40:02Z"},{"alias_kind":"pith_short_12","alias_value":"YN7TEG7I7KWH","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_16","alias_value":"YN7TEG7I7KWHP4VG","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_8","alias_value":"YN7TEG7I","created_at":"2026-05-18T12:25:51Z"}],"graph_snapshots":[{"event_id":"sha256:89bbd307551083928a01ad3b5e0d121de340a6737e7cc502a26e37d0f4d18680","target":"graph","created_at":"2026-05-18T01:40:02Z","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":"The average length and average relaxation time of attractors in sequence processing neural networks are investigated. The simulation results show that a critical point of $\\alpha $, the loading ratio, is found. Below the turning point, the average length is equal to the number of stored patterns; conversely, the ratio of length and numbers of stored patterns, grow with an exponential dependence $\\exp (A\\alpha) $. Moreover, we find that the logarithm of average relaxation time is only linearly associated with $\\alpha $ and the turning point of coupling degree is located for examining robustness","authors_text":"Kong Qing Yang, Ying Hai Wang, Yong Chen","cross_cats":[],"headline":"","license":"","primary_cat":"cond-mat.dis-nn","submitted_at":"2002-09-12T10:16:10Z","title":"The attractors in sequence processing neural networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0209282","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:a8754bbc67b3ee75c390d1cf8f1e8b4cad8843fb934023e18992c797dfdae373","target":"record","created_at":"2026-05-18T01:40:02Z","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":"e59b1dc7c54533df39aaeb7f2fbfda6b6a4134469a4c2fdf3eb4b3186d5485ae","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.dis-nn","submitted_at":"2002-09-12T10:16:10Z","title_canon_sha256":"7dc2600d8a6fd25b101cbc6df530a9fbdfd501d78ef04efb6062c89ed4832e6c"},"schema_version":"1.0","source":{"id":"cond-mat/0209282","kind":"arxiv","version":1}},"canonical_sha256":"c37f321be8faac77f2a6712bfad996a51aacb020191fad128f71c314b9d91e14","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c37f321be8faac77f2a6712bfad996a51aacb020191fad128f71c314b9d91e14","first_computed_at":"2026-05-18T01:40:02.954350Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:40:02.954350Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"uh9y9MExAp0k2+MNVuBerlOBuXdE94tyfqM6X4dgdDm6Fz+Q0zgjMGj0m0h51kPhH0Mkn6PhplHZBBR5XYBcBg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:40:02.955059Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/0209282","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a8754bbc67b3ee75c390d1cf8f1e8b4cad8843fb934023e18992c797dfdae373","sha256:89bbd307551083928a01ad3b5e0d121de340a6737e7cc502a26e37d0f4d18680"],"state_sha256":"5f8d2b8efaaef73331d0104cb4f1f94c463a593b6c057187acc8ffff7aa7c649"}