{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2021:57FF6FETVJUP6TGIQF52C27JHR","short_pith_number":"pith:57FF6FET","schema_version":"1.0","canonical_sha256":"efca5f1493aa68ff4cc8817ba16be93c5c2fdd09a410f6089b866b90bc821560","source":{"kind":"arxiv","id":"2105.04468","version":2},"attestation_state":"computed","paper":{"title":"Random Matrix Model for Eigenvalue Statistics in Random Spin Systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.dis-nn","authors_text":"Wen-Jia Rao","submitted_at":"2021-05-10T16:06:10Z","abstract_excerpt":"We propose a working strategy to describe the eigenvalue statistics of random spin systems along the whole phase diagram with thermal to many-body localization (MBL) transition. Our strategy relies on two random matrix (RM) models with well-defined matrix construction, namely the mixed (Brownian) ensemble and Gaussian $\\beta$ ensemble. We show both RM models are capable of capturing the lowest-order level correlations during the transition, while the deviations become non-negligible when fitting higher-order ones. Specifically, the mixed ensemble will underestimate the longer-range level corre"},"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":"2105.04468","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2021-05-10T16:06:10Z","cross_cats_sorted":[],"title_canon_sha256":"a1468c863d576952cd14e766e9520a42503e5269c8aec413b2d9115bd451f5d1","abstract_canon_sha256":"f252cd876cc0ea2d75f18d25ce0b99eb976712aad8b2d4a4a9230fa14ff4f656"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:43:16.428136Z","signature_b64":"6JQL/RI8Gsaa84iS3SUvD2EpBUuxSw2g6Dr4iIL+n7pZHxKSJmgG3OAgn2PqOjuJLtvpjvbCiu7B3XzFeHTMDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"efca5f1493aa68ff4cc8817ba16be93c5c2fdd09a410f6089b866b90bc821560","last_reissued_at":"2026-07-05T03:43:16.427694Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:43:16.427694Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Random Matrix Model for Eigenvalue Statistics in Random Spin Systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.dis-nn","authors_text":"Wen-Jia Rao","submitted_at":"2021-05-10T16:06:10Z","abstract_excerpt":"We propose a working strategy to describe the eigenvalue statistics of random spin systems along the whole phase diagram with thermal to many-body localization (MBL) transition. Our strategy relies on two random matrix (RM) models with well-defined matrix construction, namely the mixed (Brownian) ensemble and Gaussian $\\beta$ ensemble. We show both RM models are capable of capturing the lowest-order level correlations during the transition, while the deviations become non-negligible when fitting higher-order ones. Specifically, the mixed ensemble will underestimate the longer-range level corre"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2105.04468","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2105.04468/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2105.04468","created_at":"2026-07-05T03:43:16.427759+00:00"},{"alias_kind":"arxiv_version","alias_value":"2105.04468v2","created_at":"2026-07-05T03:43:16.427759+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2105.04468","created_at":"2026-07-05T03:43:16.427759+00:00"},{"alias_kind":"pith_short_12","alias_value":"57FF6FETVJUP","created_at":"2026-07-05T03:43:16.427759+00:00"},{"alias_kind":"pith_short_16","alias_value":"57FF6FETVJUP6TGI","created_at":"2026-07-05T03:43:16.427759+00:00"},{"alias_kind":"pith_short_8","alias_value":"57FF6FET","created_at":"2026-07-05T03:43:16.427759+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2501.19244","citing_title":"How Random Are Ergodic Eigenstates of the Ultrametric Random Matrices and the Quantum Sun Model?","ref_index":106,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/57FF6FETVJUP6TGIQF52C27JHR","json":"https://pith.science/pith/57FF6FETVJUP6TGIQF52C27JHR.json","graph_json":"https://pith.science/api/pith-number/57FF6FETVJUP6TGIQF52C27JHR/graph.json","events_json":"https://pith.science/api/pith-number/57FF6FETVJUP6TGIQF52C27JHR/events.json","paper":"https://pith.science/paper/57FF6FET"},"agent_actions":{"view_html":"https://pith.science/pith/57FF6FETVJUP6TGIQF52C27JHR","download_json":"https://pith.science/pith/57FF6FETVJUP6TGIQF52C27JHR.json","view_paper":"https://pith.science/paper/57FF6FET","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2105.04468&json=true","fetch_graph":"https://pith.science/api/pith-number/57FF6FETVJUP6TGIQF52C27JHR/graph.json","fetch_events":"https://pith.science/api/pith-number/57FF6FETVJUP6TGIQF52C27JHR/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/57FF6FETVJUP6TGIQF52C27JHR/action/timestamp_anchor","attest_storage":"https://pith.science/pith/57FF6FETVJUP6TGIQF52C27JHR/action/storage_attestation","attest_author":"https://pith.science/pith/57FF6FETVJUP6TGIQF52C27JHR/action/author_attestation","sign_citation":"https://pith.science/pith/57FF6FETVJUP6TGIQF52C27JHR/action/citation_signature","submit_replication":"https://pith.science/pith/57FF6FETVJUP6TGIQF52C27JHR/action/replication_record"}},"created_at":"2026-07-05T03:43:16.427759+00:00","updated_at":"2026-07-05T03:43:16.427759+00:00"}