{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:SWBZ43DH5X223Q7THEWKDQCKD2","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":"18dbbb3230d92e19976bb3cc72c551bb1d29a94f79c78c2fb83353d63c039f54","cross_cats_sorted":["math-ph","math.MP","stat.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.data-an","submitted_at":"2018-07-20T11:48:36Z","title_canon_sha256":"5b09d9fdca0186d8747e365a5da3bd190831427f85dcb5505a3ff5ed596f630d"},"schema_version":"1.0","source":{"id":"1807.07968","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1807.07968","created_at":"2026-07-05T03:04:57Z"},{"alias_kind":"arxiv_version","alias_value":"1807.07968v2","created_at":"2026-07-05T03:04:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.07968","created_at":"2026-07-05T03:04:57Z"},{"alias_kind":"pith_short_12","alias_value":"SWBZ43DH5X22","created_at":"2026-07-05T03:04:57Z"},{"alias_kind":"pith_short_16","alias_value":"SWBZ43DH5X223Q7T","created_at":"2026-07-05T03:04:57Z"},{"alias_kind":"pith_short_8","alias_value":"SWBZ43DH","created_at":"2026-07-05T03:04:57Z"}],"graph_snapshots":[{"event_id":"sha256:87a4627d1baf0d58df75d1d75d1105623c4892f78b5c2f12271a571fede27c48","target":"graph","created_at":"2026-07-05T03:04:57Z","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/1807.07968/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The spectra of empirical correlation matrices, constructed from multivariate data, are widely used in many areas of sciences, engineering and social sciences as a tool to understand the information contained in typically large datasets. In the last two decades, random matrix theory-based tools such as the nearest neighbour eigenvalue spacing and eigenvector distributions have been employed to extract the significant modes of variability present in such empirical correlations. In this work, we present an alternative analysis in terms of the recently introduced spacing ratios, which does not req","authors_text":"M. S. Santhanam, S. Harshini Tekur, Udaysinh T. Bhosale","cross_cats":["math-ph","math.MP","stat.AP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.data-an","submitted_at":"2018-07-20T11:48:36Z","title":"Scaling in the eigenvalue fluctuations of the empirical correlation matrices"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.07968","kind":"arxiv","version":2},"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":"sha256:594b22c5a5d96b7ab432dbd5c77da7b03ecac8668b4aba1d7d16a8c7592de990","target":"record","created_at":"2026-07-05T03:04:57Z","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":"18dbbb3230d92e19976bb3cc72c551bb1d29a94f79c78c2fb83353d63c039f54","cross_cats_sorted":["math-ph","math.MP","stat.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.data-an","submitted_at":"2018-07-20T11:48:36Z","title_canon_sha256":"5b09d9fdca0186d8747e365a5da3bd190831427f85dcb5505a3ff5ed596f630d"},"schema_version":"1.0","source":{"id":"1807.07968","kind":"arxiv","version":2}},"canonical_sha256":"95839e6c67edf5adc3f3392ca1c04a1ebe4195b7e4be7c9fa699b93db03cf767","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"95839e6c67edf5adc3f3392ca1c04a1ebe4195b7e4be7c9fa699b93db03cf767","first_computed_at":"2026-07-05T03:04:57.719717Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:04:57.719717Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"S0ryjhXKNI7pZZUAv7xWwy/xxigxZsHiuRouY0eKVX0PKGolMlJCVzSQcLXl+0YxLphIH+3ssHO1BaYHL4mvBw==","signature_status":"signed_v1","signed_at":"2026-07-05T03:04:57.720126Z","signed_message":"canonical_sha256_bytes"},"source_id":"1807.07968","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:594b22c5a5d96b7ab432dbd5c77da7b03ecac8668b4aba1d7d16a8c7592de990","sha256:87a4627d1baf0d58df75d1d75d1105623c4892f78b5c2f12271a571fede27c48"],"state_sha256":"593ac3d15cdc20b6043d561276a440ba356beadb16333dcf58904ac674e12d02"}