{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1998:U5CJYFNMLPJMVT3PDTG6HIVT6V","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":"48907eda38545c62fff740e67210d3b4b87cf76fe0317300fd572b54e359caf5","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat","submitted_at":"1998-08-03T17:02:06Z","title_canon_sha256":"796c9ab2393b48009ca5d97831820f4e96e69a70bde266e0f4e9c3a529a7fce2"},"schema_version":"1.0","source":{"id":"cond-mat/9808024","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/9808024","created_at":"2026-07-04T16:08:10Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/9808024v1","created_at":"2026-07-04T16:08:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/9808024","created_at":"2026-07-04T16:08:10Z"},{"alias_kind":"pith_short_12","alias_value":"U5CJYFNMLPJM","created_at":"2026-07-04T16:08:10Z"},{"alias_kind":"pith_short_16","alias_value":"U5CJYFNMLPJMVT3P","created_at":"2026-07-04T16:08:10Z"},{"alias_kind":"pith_short_8","alias_value":"U5CJYFNM","created_at":"2026-07-04T16:08:10Z"}],"graph_snapshots":[{"event_id":"sha256:5bccb44e64ded44a0f69d23825f69c8e7737193cac982b975bcee24cc629293c","target":"graph","created_at":"2026-07-04T16:08:10Z","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/9808024/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study spectral statistics of lattice modes in a disordered crystal and in a crystal with a complex unit cell. The correlations of the eigenmode frequencies of a block of a disordered solid is found to obey the GOE Wigner-Dyson statistics. In contrast, the set of eigenfrequencies of a crystal with a complex unit cell taken at the same point ${\\bf Q}\\not=0$ in the Brillouin zone exhibit correlations specific to the GUE universality class.","authors_text":"C.J. Lambert, G. Fagas, Vladimir I. Fal'ko","cross_cats":[],"headline":"","license":"","primary_cat":"cond-mat","submitted_at":"1998-08-03T17:02:06Z","title":"Universal correlations in vibrational spectra of complex crystals"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/9808024","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:e3c1494ad0e7954856b0dcbf2140d280b6e9ab3bedc8fd3edbca6f42ca8e5f1c","target":"record","created_at":"2026-07-04T16:08:10Z","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":"48907eda38545c62fff740e67210d3b4b87cf76fe0317300fd572b54e359caf5","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat","submitted_at":"1998-08-03T17:02:06Z","title_canon_sha256":"796c9ab2393b48009ca5d97831820f4e96e69a70bde266e0f4e9c3a529a7fce2"},"schema_version":"1.0","source":{"id":"cond-mat/9808024","kind":"arxiv","version":1}},"canonical_sha256":"a7449c15ac5bd2cacf6f1ccde3a2b3f56be48ea7a7b196be40ee0f225af38a4e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a7449c15ac5bd2cacf6f1ccde3a2b3f56be48ea7a7b196be40ee0f225af38a4e","first_computed_at":"2026-07-04T16:08:10.932549Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:08:10.932549Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lu9EFBniSPz7Ryr8Xujqx8IBhPN/Y/KLGy5OpYxX3V752li0Y/mClzIXDrxSpVceELm1l38XgDiPiSamjHqVBg==","signature_status":"signed_v1","signed_at":"2026-07-04T16:08:10.932893Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/9808024","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e3c1494ad0e7954856b0dcbf2140d280b6e9ab3bedc8fd3edbca6f42ca8e5f1c","sha256:5bccb44e64ded44a0f69d23825f69c8e7737193cac982b975bcee24cc629293c"],"state_sha256":"e4dba045a06e3db47ebc93e52accbfb7f6e699d9396abf0a38c82046e1e4c67a"}