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We also show another result that is related to an old question of whether $$P(\\max_{1\\le i\\le k} |X_i|<t) \\ge P(\\max_{1\\le i\\le m} |X_i|<t) \\ P(\\max_{m+1\\le i\\le k} |X_i|<t)$$ where $X_1,\\dots,X_k$ are jointly Gaussian random variables with zero mean, and $m<k.$ We show that the quantity in the left-ha"},"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":"math/9503212","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.FA","submitted_at":"1995-03-02T20:10:40Z","cross_cats_sorted":[],"title_canon_sha256":"3a6e8245b63ae553009dc6dd7275017a26da5611e05069b748979098f12f3008","abstract_canon_sha256":"2fec1da037808ea20e925e5b34b8fc991c8f5f768ff4b0f147eae3934e6767d0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:05:50.391652Z","signature_b64":"AYUx0vQZ11zUx0w93F3ecOMSuFeBIpXQMzCnX8ZImNafG9VLz0SJzhISlDHisU6z7HFJdzNyx81vwEczDoJSAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8e9cf3ceebd43976131759ef2a0fbcc1c98c6648f14bddf8ca0bc6afb84abc85","last_reissued_at":"2026-05-18T01:05:50.391008Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:05:50.391008Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Inequalities of correlation type for symmetric stable random vectors","license":"","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Alexander Koldobsky, Stephen J. 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We also show another result that is related to an old question of whether $$P(\\max_{1\\le i\\le k} |X_i|<t) \\ge P(\\max_{1\\le i\\le m} |X_i|<t) \\ P(\\max_{m+1\\le i\\le k} |X_i|<t)$$ where $X_1,\\dots,X_k$ are jointly Gaussian random variables with zero mean, and $m<k.$ We show that the quantity in the left-ha"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/9503212","kind":"arxiv","version":1},"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":"math/9503212","created_at":"2026-05-18T01:05:50.391117+00:00"},{"alias_kind":"arxiv_version","alias_value":"math/9503212v1","created_at":"2026-05-18T01:05:50.391117+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/9503212","created_at":"2026-05-18T01:05:50.391117+00:00"},{"alias_kind":"pith_short_12","alias_value":"R2OPHTXL2Q4X","created_at":"2026-05-18T12:25:47.700082+00:00"},{"alias_kind":"pith_short_16","alias_value":"R2OPHTXL2Q4XMEYX","created_at":"2026-05-18T12:25:47.700082+00:00"},{"alias_kind":"pith_short_8","alias_value":"R2OPHTXL","created_at":"2026-05-18T12:25:47.700082+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/R2OPHTXL2Q4XMEYXLHXSUD54YH","json":"https://pith.science/pith/R2OPHTXL2Q4XMEYXLHXSUD54YH.json","graph_json":"https://pith.science/api/pith-number/R2OPHTXL2Q4XMEYXLHXSUD54YH/graph.json","events_json":"https://pith.science/api/pith-number/R2OPHTXL2Q4XMEYXLHXSUD54YH/events.json","paper":"https://pith.science/paper/R2OPHTXL"},"agent_actions":{"view_html":"https://pith.science/pith/R2OPHTXL2Q4XMEYXLHXSUD54YH","download_json":"https://pith.science/pith/R2OPHTXL2Q4XMEYXLHXSUD54YH.json","view_paper":"https://pith.science/paper/R2OPHTXL","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=math/9503212&json=true","fetch_graph":"https://pith.science/api/pith-number/R2OPHTXL2Q4XMEYXLHXSUD54YH/graph.json","fetch_events":"https://pith.science/api/pith-number/R2OPHTXL2Q4XMEYXLHXSUD54YH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/R2OPHTXL2Q4XMEYXLHXSUD54YH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/R2OPHTXL2Q4XMEYXLHXSUD54YH/action/storage_attestation","attest_author":"https://pith.science/pith/R2OPHTXL2Q4XMEYXLHXSUD54YH/action/author_attestation","sign_citation":"https://pith.science/pith/R2OPHTXL2Q4XMEYXLHXSUD54YH/action/citation_signature","submit_replication":"https://pith.science/pith/R2OPHTXL2Q4XMEYXLHXSUD54YH/action/replication_record"}},"created_at":"2026-05-18T01:05:50.391117+00:00","updated_at":"2026-05-18T01:05:50.391117+00:00"}