{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1998:OKVH4WXYSLG52KY66YLIUGVFLH","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":"640b5f15f03e8ceaa98551cfd8a48a3ecc6dd6bafc0113f4b143844d3f815a5e","cross_cats_sorted":["cond-mat.mes-hall"],"license":"","primary_cat":"cond-mat.dis-nn","submitted_at":"1998-10-22T07:10:54Z","title_canon_sha256":"ae3f663215a5a4b34a3e19207bd25010e4b74a45fe831fd9ae973c4b1cf334fb"},"schema_version":"1.0","source":{"id":"cond-mat/9810286","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/9810286","created_at":"2026-05-18T00:34:17Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/9810286v1","created_at":"2026-05-18T00:34:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/9810286","created_at":"2026-05-18T00:34:17Z"},{"alias_kind":"pith_short_12","alias_value":"OKVH4WXYSLG5","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"OKVH4WXYSLG52KY6","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"OKVH4WXY","created_at":"2026-05-18T12:25:49Z"}],"graph_snapshots":[{"event_id":"sha256:c8e2f08254318f90ac0ac232e0298035a7e31a297272644406cac5b466268789","target":"graph","created_at":"2026-05-18T00:34:17Z","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 level spacing distribution is numerically calculated at the disorder-induced metal--insulator transition for dimensionality d=4 by applying the Lanczos diagonalisation. The critical level statistics are shown to deviate stronger from the result of the random matrix theory compared to those of d=3 and to become closer to the Poisson limit of uncorrelated spectra. Using the finite size scaling analysis for the probability distribution Q_n(E) of having n levels in a given energy interval E we find the critical disorder W_c = 34.5 \\pm 0.5, the correlation length exponent \\nu = 1.1 \\pm 0.2 and ","authors_text":"B. Kramer (University of Hamburg), I. Kh. Zharekeshev","cross_cats":["cond-mat.mes-hall"],"headline":"","license":"","primary_cat":"cond-mat.dis-nn","submitted_at":"1998-10-22T07:10:54Z","title":"Critical level statistics at the Anderson transition in four-dimensional disordered systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/9810286","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":"sha256:0fd9b7d6d52e5adec334e500f626eb698c66c8a71771914aeee52e4e43bc57d9","target":"record","created_at":"2026-05-18T00:34:17Z","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":"640b5f15f03e8ceaa98551cfd8a48a3ecc6dd6bafc0113f4b143844d3f815a5e","cross_cats_sorted":["cond-mat.mes-hall"],"license":"","primary_cat":"cond-mat.dis-nn","submitted_at":"1998-10-22T07:10:54Z","title_canon_sha256":"ae3f663215a5a4b34a3e19207bd25010e4b74a45fe831fd9ae973c4b1cf334fb"},"schema_version":"1.0","source":{"id":"cond-mat/9810286","kind":"arxiv","version":1}},"canonical_sha256":"72aa7e5af892cddd2b1ef6168a1aa559fb41ba041266c5fac1cde58eef65374c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"72aa7e5af892cddd2b1ef6168a1aa559fb41ba041266c5fac1cde58eef65374c","first_computed_at":"2026-05-18T00:34:17.022085Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:34:17.022085Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7R7gAwWLm9HPIqniRybFvz9L6zcXfgHI5/lh//tWx+CmuxKVU1A5i2d5Cevc01cdqoxtJo8CA0MtlTdEqjfxCg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:34:17.022776Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/9810286","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0fd9b7d6d52e5adec334e500f626eb698c66c8a71771914aeee52e4e43bc57d9","sha256:c8e2f08254318f90ac0ac232e0298035a7e31a297272644406cac5b466268789"],"state_sha256":"0c86d41e7ed1d3a117f44d2f799c63ce1c76824fe4a02936e73b3bfc25e3e99c"}