{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:67WECZVA2G6LBT56AOKE4SGHHC","short_pith_number":"pith:67WECZVA","schema_version":"1.0","canonical_sha256":"f7ec4166a0d1bcb0cfbe03944e48c738b6fa1757292a380608110adea4033dd0","source":{"kind":"arxiv","id":"2501.01079","version":2},"attestation_state":"computed","paper":{"title":"Spectral radius concentration for inhomogeneous random matrices with independent entries","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Yi Han","submitted_at":"2025-01-02T05:53:36Z","abstract_excerpt":"Let $A$ be a square random matrix of size $n$, with mean zero, independent but not identically distributed entries, with variance profile $S$. When entries are i.i.d. with unit variance, the spectral radius of $n^{-1/2}A$ converges to $1$ whereas the operator norm converges to 2. Motivated by recent interest in inhomogeneous random matrices, in particular non-Hermitian random band matrices, we formulate general upper bounds for $\\rho(A)$, the spectral radius of $A$, in terms of the variance $S$. We prove (1) after suitable normalization $\\rho(A)$ is bounded by $1+\\epsilon$ up to the optimal sp"},"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":"2501.01079","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.PR","submitted_at":"2025-01-02T05:53:36Z","cross_cats_sorted":[],"title_canon_sha256":"39332d533e58031734963342be42b7dc59ea28bb22aa8d103d0ca0bedc3937ef","abstract_canon_sha256":"5298e3bb66f3906aa39902243b55934f9d0bff2fb7d54f8d65a4a4d16f9f0c40"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:49:49.638720Z","signature_b64":"KjMrZtgpGaadKHZoe6NHeg4d5vL8ZAZrENfJy+6+UyLXwgWAgWqhtrEU1pBWHVBVEQkwIa6nAIRkG8388o5kCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f7ec4166a0d1bcb0cfbe03944e48c738b6fa1757292a380608110adea4033dd0","last_reissued_at":"2026-07-05T11:49:49.638168Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:49:49.638168Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Spectral radius concentration for inhomogeneous random matrices with independent entries","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Yi Han","submitted_at":"2025-01-02T05:53:36Z","abstract_excerpt":"Let $A$ be a square random matrix of size $n$, with mean zero, independent but not identically distributed entries, with variance profile $S$. When entries are i.i.d. with unit variance, the spectral radius of $n^{-1/2}A$ converges to $1$ whereas the operator norm converges to 2. Motivated by recent interest in inhomogeneous random matrices, in particular non-Hermitian random band matrices, we formulate general upper bounds for $\\rho(A)$, the spectral radius of $A$, in terms of the variance $S$. We prove (1) after suitable normalization $\\rho(A)$ is bounded by $1+\\epsilon$ up to the optimal sp"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2501.01079","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/2501.01079/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":"2501.01079","created_at":"2026-07-05T11:49:49.638244+00:00"},{"alias_kind":"arxiv_version","alias_value":"2501.01079v2","created_at":"2026-07-05T11:49:49.638244+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2501.01079","created_at":"2026-07-05T11:49:49.638244+00:00"},{"alias_kind":"pith_short_12","alias_value":"67WECZVA2G6L","created_at":"2026-07-05T11:49:49.638244+00:00"},{"alias_kind":"pith_short_16","alias_value":"67WECZVA2G6LBT56","created_at":"2026-07-05T11:49:49.638244+00:00"},{"alias_kind":"pith_short_8","alias_value":"67WECZVA","created_at":"2026-07-05T11:49:49.638244+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/67WECZVA2G6LBT56AOKE4SGHHC","json":"https://pith.science/pith/67WECZVA2G6LBT56AOKE4SGHHC.json","graph_json":"https://pith.science/api/pith-number/67WECZVA2G6LBT56AOKE4SGHHC/graph.json","events_json":"https://pith.science/api/pith-number/67WECZVA2G6LBT56AOKE4SGHHC/events.json","paper":"https://pith.science/paper/67WECZVA"},"agent_actions":{"view_html":"https://pith.science/pith/67WECZVA2G6LBT56AOKE4SGHHC","download_json":"https://pith.science/pith/67WECZVA2G6LBT56AOKE4SGHHC.json","view_paper":"https://pith.science/paper/67WECZVA","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2501.01079&json=true","fetch_graph":"https://pith.science/api/pith-number/67WECZVA2G6LBT56AOKE4SGHHC/graph.json","fetch_events":"https://pith.science/api/pith-number/67WECZVA2G6LBT56AOKE4SGHHC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/67WECZVA2G6LBT56AOKE4SGHHC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/67WECZVA2G6LBT56AOKE4SGHHC/action/storage_attestation","attest_author":"https://pith.science/pith/67WECZVA2G6LBT56AOKE4SGHHC/action/author_attestation","sign_citation":"https://pith.science/pith/67WECZVA2G6LBT56AOKE4SGHHC/action/citation_signature","submit_replication":"https://pith.science/pith/67WECZVA2G6LBT56AOKE4SGHHC/action/replication_record"}},"created_at":"2026-07-05T11:49:49.638244+00:00","updated_at":"2026-07-05T11:49:49.638244+00:00"}