{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:5LCUBF2B2EOCBIC2DED7MOLODB","short_pith_number":"pith:5LCUBF2B","schema_version":"1.0","canonical_sha256":"eac5409741d11c20a05a1907f6396e1861a5f49d81cfb83b198a8467c22c1232","source":{"kind":"arxiv","id":"1508.01785","version":2},"attestation_state":"computed","paper":{"title":"Almost sure convergence in quantum spin glasses","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP","math.PR"],"primary_cat":"math-ph","authors_text":"David Buzinski, Elizabeth Meckes","submitted_at":"2015-08-07T19:27:36Z","abstract_excerpt":"Recently, Keating, Linden, and Wells \\cite{KLW} showed that the density of states measure of a nearest-neighbor quantum spin glass model is approximately Gaussian when the number of particles is large. The density of states measure is the ensemble average of the empirical spectral measure of a random matrix; in this paper, we use concentration of measure and entropy techniques together with the result of \\cite{KLW} to show that in fact, the empirical spectral measure of such a random matrix is almost surely approximately Gaussian itself, with no ensemble averaging. We also extend this result t"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1508.01785","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2015-08-07T19:27:36Z","cross_cats_sorted":["math.MP","math.PR"],"title_canon_sha256":"701e73dfa28d856d5103c73a1d56329b1b144fce08aa22c4718925acddca2387","abstract_canon_sha256":"4c4a75ee38daea77e4543a574e2001903a90be6e31005f81d8ef809aee231883"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:22:37.166602Z","signature_b64":"zHsFjtl7zla9ajvPx+takc7bZ7AIpTij8rzb0zBCeJOiQUBoqwP7dUXGNh8zheIQkTGtLSITU8mPpxTPfh8BDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"eac5409741d11c20a05a1907f6396e1861a5f49d81cfb83b198a8467c22c1232","last_reissued_at":"2026-05-18T01:22:37.166182Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:22:37.166182Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Almost sure convergence in quantum spin glasses","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP","math.PR"],"primary_cat":"math-ph","authors_text":"David Buzinski, Elizabeth Meckes","submitted_at":"2015-08-07T19:27:36Z","abstract_excerpt":"Recently, Keating, Linden, and Wells \\cite{KLW} showed that the density of states measure of a nearest-neighbor quantum spin glass model is approximately Gaussian when the number of particles is large. The density of states measure is the ensemble average of the empirical spectral measure of a random matrix; in this paper, we use concentration of measure and entropy techniques together with the result of \\cite{KLW} to show that in fact, the empirical spectral measure of such a random matrix is almost surely approximately Gaussian itself, with no ensemble averaging. We also extend this result t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1508.01785","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1508.01785","created_at":"2026-05-18T01:22:37.166242+00:00"},{"alias_kind":"arxiv_version","alias_value":"1508.01785v2","created_at":"2026-05-18T01:22:37.166242+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1508.01785","created_at":"2026-05-18T01:22:37.166242+00:00"},{"alias_kind":"pith_short_12","alias_value":"5LCUBF2B2EOC","created_at":"2026-05-18T12:29:05.191682+00:00"},{"alias_kind":"pith_short_16","alias_value":"5LCUBF2B2EOCBIC2","created_at":"2026-05-18T12:29:05.191682+00:00"},{"alias_kind":"pith_short_8","alias_value":"5LCUBF2B","created_at":"2026-05-18T12:29:05.191682+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/5LCUBF2B2EOCBIC2DED7MOLODB","json":"https://pith.science/pith/5LCUBF2B2EOCBIC2DED7MOLODB.json","graph_json":"https://pith.science/api/pith-number/5LCUBF2B2EOCBIC2DED7MOLODB/graph.json","events_json":"https://pith.science/api/pith-number/5LCUBF2B2EOCBIC2DED7MOLODB/events.json","paper":"https://pith.science/paper/5LCUBF2B"},"agent_actions":{"view_html":"https://pith.science/pith/5LCUBF2B2EOCBIC2DED7MOLODB","download_json":"https://pith.science/pith/5LCUBF2B2EOCBIC2DED7MOLODB.json","view_paper":"https://pith.science/paper/5LCUBF2B","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1508.01785&json=true","fetch_graph":"https://pith.science/api/pith-number/5LCUBF2B2EOCBIC2DED7MOLODB/graph.json","fetch_events":"https://pith.science/api/pith-number/5LCUBF2B2EOCBIC2DED7MOLODB/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/5LCUBF2B2EOCBIC2DED7MOLODB/action/timestamp_anchor","attest_storage":"https://pith.science/pith/5LCUBF2B2EOCBIC2DED7MOLODB/action/storage_attestation","attest_author":"https://pith.science/pith/5LCUBF2B2EOCBIC2DED7MOLODB/action/author_attestation","sign_citation":"https://pith.science/pith/5LCUBF2B2EOCBIC2DED7MOLODB/action/citation_signature","submit_replication":"https://pith.science/pith/5LCUBF2B2EOCBIC2DED7MOLODB/action/replication_record"}},"created_at":"2026-05-18T01:22:37.166242+00:00","updated_at":"2026-05-18T01:22:37.166242+00:00"}