{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:GZIBGVQY7ZSIOP36YBJOWFA2CV","short_pith_number":"pith:GZIBGVQY","schema_version":"1.0","canonical_sha256":"3650135618fe64873f7ec052eb141a15423d222e504fce2132d4bbfadb8d178a","source":{"kind":"arxiv","id":"1210.3542","version":3},"attestation_state":"computed","paper":{"title":"Minami's estimate: beyond rank one perturbation and monotonicity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.SP","authors_text":"Ivan Veseli\\'c, Martin Tautenhahn","submitted_at":"2012-10-12T14:54:58Z","abstract_excerpt":"In this note we prove Minami's estimate for a class of discrete alloy-type models with a sign-changing single-site potential of finite support. We apply Minami's estimate to prove Poisson statistics for the energy level spacing. Our result is valid for random potentials which are in a certain sense sufficiently close to the standard Anderson potential (rank one perturbations coupled with i.i.d. random variables)."},"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":"1210.3542","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2012-10-12T14:54:58Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"016fd53884a0c2ceca7397b7cfe19aacdecf34214612ea94334d97627a84aabc","abstract_canon_sha256":"2c93db7a7a6db8ef683ce5946408fbd080af634769626b6eb14e3c2cddef3319"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:23:30.164849Z","signature_b64":"pQhjVudjZTm7m5PD7R7L7+iQJ9eCvYm+W3dbGZMDH6ZlDB5pqGMNCLHTFgNjuReBaARP76RCFhzBT8Po0Qr3AQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3650135618fe64873f7ec052eb141a15423d222e504fce2132d4bbfadb8d178a","last_reissued_at":"2026-05-18T01:23:30.164218Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:23:30.164218Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Minami's estimate: beyond rank one perturbation and monotonicity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.SP","authors_text":"Ivan Veseli\\'c, Martin Tautenhahn","submitted_at":"2012-10-12T14:54:58Z","abstract_excerpt":"In this note we prove Minami's estimate for a class of discrete alloy-type models with a sign-changing single-site potential of finite support. We apply Minami's estimate to prove Poisson statistics for the energy level spacing. Our result is valid for random potentials which are in a certain sense sufficiently close to the standard Anderson potential (rank one perturbations coupled with i.i.d. random variables)."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1210.3542","kind":"arxiv","version":3},"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":"1210.3542","created_at":"2026-05-18T01:23:30.164308+00:00"},{"alias_kind":"arxiv_version","alias_value":"1210.3542v3","created_at":"2026-05-18T01:23:30.164308+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1210.3542","created_at":"2026-05-18T01:23:30.164308+00:00"},{"alias_kind":"pith_short_12","alias_value":"GZIBGVQY7ZSI","created_at":"2026-05-18T12:27:06.952714+00:00"},{"alias_kind":"pith_short_16","alias_value":"GZIBGVQY7ZSIOP36","created_at":"2026-05-18T12:27:06.952714+00:00"},{"alias_kind":"pith_short_8","alias_value":"GZIBGVQY","created_at":"2026-05-18T12:27:06.952714+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/GZIBGVQY7ZSIOP36YBJOWFA2CV","json":"https://pith.science/pith/GZIBGVQY7ZSIOP36YBJOWFA2CV.json","graph_json":"https://pith.science/api/pith-number/GZIBGVQY7ZSIOP36YBJOWFA2CV/graph.json","events_json":"https://pith.science/api/pith-number/GZIBGVQY7ZSIOP36YBJOWFA2CV/events.json","paper":"https://pith.science/paper/GZIBGVQY"},"agent_actions":{"view_html":"https://pith.science/pith/GZIBGVQY7ZSIOP36YBJOWFA2CV","download_json":"https://pith.science/pith/GZIBGVQY7ZSIOP36YBJOWFA2CV.json","view_paper":"https://pith.science/paper/GZIBGVQY","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1210.3542&json=true","fetch_graph":"https://pith.science/api/pith-number/GZIBGVQY7ZSIOP36YBJOWFA2CV/graph.json","fetch_events":"https://pith.science/api/pith-number/GZIBGVQY7ZSIOP36YBJOWFA2CV/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GZIBGVQY7ZSIOP36YBJOWFA2CV/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GZIBGVQY7ZSIOP36YBJOWFA2CV/action/storage_attestation","attest_author":"https://pith.science/pith/GZIBGVQY7ZSIOP36YBJOWFA2CV/action/author_attestation","sign_citation":"https://pith.science/pith/GZIBGVQY7ZSIOP36YBJOWFA2CV/action/citation_signature","submit_replication":"https://pith.science/pith/GZIBGVQY7ZSIOP36YBJOWFA2CV/action/replication_record"}},"created_at":"2026-05-18T01:23:30.164308+00:00","updated_at":"2026-05-18T01:23:30.164308+00:00"}