{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:UZKGW4VYWB2QMZWIUMPVJGTCY4","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":"a57ca038f211339d99ca041194a72598f8a38fe724f470698bcac035a172ac40","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-03-27T21:15:25Z","title_canon_sha256":"b1e5a7d3edab6b140d832b65b1197be5ecb669885662be8816ffef4106a801d0"},"schema_version":"1.0","source":{"id":"1403.7218","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.7218","created_at":"2026-05-18T02:33:07Z"},{"alias_kind":"arxiv_version","alias_value":"1403.7218v2","created_at":"2026-05-18T02:33:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.7218","created_at":"2026-05-18T02:33:07Z"},{"alias_kind":"pith_short_12","alias_value":"UZKGW4VYWB2Q","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_16","alias_value":"UZKGW4VYWB2QMZWI","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_8","alias_value":"UZKGW4VY","created_at":"2026-05-18T12:28:52Z"}],"graph_snapshots":[{"event_id":"sha256:59a92b70a0049536dde49e01effd55320bf0c7a26d7d07af284bd5b98f95be47","target":"graph","created_at":"2026-05-18T02:33:07Z","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":"We study spectral densities for systems on lattices, which, at a phase transition display, power-law spatial correlations. Constructing the spatial correlation matrix we prove that its eigenvalue density shows a power law that can be derived from the spatial correlations. In practice time series are short in the sense that they are either not stationary over long time intervals or not available over long time intervals. Also we usually do not have time series for all variables available. We shall make numerical simulations on a two-dimensional Ising model with the usual Metropolis algorithm as","authors_text":"B. Buca, T. H. Seligman, T. Prosen, Vinayak","cross_cats":["math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-03-27T21:15:25Z","title":"Spectral analysis of finite-time correlation matrices near equilibrium phase transitions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.7218","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:c25e33acd32b0d6679dbb8f78ca4f36e71e7761e0f2160be71e96ad01844695c","target":"record","created_at":"2026-05-18T02:33:07Z","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":"a57ca038f211339d99ca041194a72598f8a38fe724f470698bcac035a172ac40","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-03-27T21:15:25Z","title_canon_sha256":"b1e5a7d3edab6b140d832b65b1197be5ecb669885662be8816ffef4106a801d0"},"schema_version":"1.0","source":{"id":"1403.7218","kind":"arxiv","version":2}},"canonical_sha256":"a6546b72b8b0750666c8a31f549a62c724aa38194d318ead6f5315160cd6b507","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a6546b72b8b0750666c8a31f549a62c724aa38194d318ead6f5315160cd6b507","first_computed_at":"2026-05-18T02:33:07.678781Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:33:07.678781Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"cgWs1O20amTYxv78gO9z6FtldjqzXDXuFEjEA/1DkLZE/+m/Y+IBUt4ZEC0w0QiAodT3cJ6gfBSZFdn6bIFWAg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:33:07.679209Z","signed_message":"canonical_sha256_bytes"},"source_id":"1403.7218","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c25e33acd32b0d6679dbb8f78ca4f36e71e7761e0f2160be71e96ad01844695c","sha256:59a92b70a0049536dde49e01effd55320bf0c7a26d7d07af284bd5b98f95be47"],"state_sha256":"3fc5f0ef5425d94f1e932783b3c02a7e463017dd2bbc01a2cdbfcfbf594dc2e3"}