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It is well-known that for every $\\theta\\in (0,1)$ there exists a subspace $F$ of ${\\mathbf R}^n$ with ${\\rm dim}F= [(1-\\theta )n]$ such that $${\\mathcal P}_F(K)\\supseteq \\frac{c\\sqrt{\\theta }} {M_K}D_n\\cap F,\\leqno (\\ast )$$ where ${\\mathcal P}_F$ denotes the orthogonal projection onto $F$. Consider a fixed coordinate system in ${\\mathbf R}^n$. We study the question whether an analogue of ($\\ast $) can be obtained when one is restricted to choose $F$ among the coordinate subspaces ${\\mathbf R}^{\\sigma },\\; \\sigma\\subseteq\\{1,\\ldots,n\\}$, w"},"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/9605218","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.MG","submitted_at":"1996-05-02T00:00:00Z","cross_cats_sorted":["math.FA"],"title_canon_sha256":"78067c78d88700f3013990fd52b0e0417b06a998f05a80f8cf0ebc5694c1cce7","abstract_canon_sha256":"e1f16a869a96e1b2ecaacbaf043f597869d5bcfccdeeb71d6b49245c3f8cf30b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:05:47.450853Z","signature_b64":"fTiGfdQbTk9EzNRYlOaYvgUWk4Hdk66u55oyktnY/3SiVXXLDEXzoqP4SOTxUZioGRRvbPiHnN2gUJEIGyhPCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ea17fb784c69812bc8fc433abcaacb59919b4005649199625322ef5a71009f90","last_reissued_at":"2026-05-18T01:05:47.450118Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:05:47.450118Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Low $M^*$-estimates on coordinate subspaces","license":"","headline":"","cross_cats":["math.FA"],"primary_cat":"math.MG","authors_text":"Apostolos A. 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We study the question whether an analogue of ($\\ast $) can be obtained when one is restricted to choose $F$ among the coordinate subspaces ${\\mathbf R}^{\\sigma },\\; \\sigma\\subseteq\\{1,\\ldots,n\\}$, w"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/9605218","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/9605218","created_at":"2026-05-18T01:05:47.450254+00:00"},{"alias_kind":"arxiv_version","alias_value":"math/9605218v1","created_at":"2026-05-18T01:05:47.450254+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/9605218","created_at":"2026-05-18T01:05:47.450254+00:00"},{"alias_kind":"pith_short_12","alias_value":"5IL7W6CMNGAS","created_at":"2026-05-18T12:25:47.700082+00:00"},{"alias_kind":"pith_short_16","alias_value":"5IL7W6CMNGASXSH4","created_at":"2026-05-18T12:25:47.700082+00:00"},{"alias_kind":"pith_short_8","alias_value":"5IL7W6CM","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/5IL7W6CMNGASXSH4IM5LZKWLLG","json":"https://pith.science/pith/5IL7W6CMNGASXSH4IM5LZKWLLG.json","graph_json":"https://pith.science/api/pith-number/5IL7W6CMNGASXSH4IM5LZKWLLG/graph.json","events_json":"https://pith.science/api/pith-number/5IL7W6CMNGASXSH4IM5LZKWLLG/events.json","paper":"https://pith.science/paper/5IL7W6CM"},"agent_actions":{"view_html":"https://pith.science/pith/5IL7W6CMNGASXSH4IM5LZKWLLG","download_json":"https://pith.science/pith/5IL7W6CMNGASXSH4IM5LZKWLLG.json","view_paper":"https://pith.science/paper/5IL7W6CM","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=math/9605218&json=true","fetch_graph":"https://pith.science/api/pith-number/5IL7W6CMNGASXSH4IM5LZKWLLG/graph.json","fetch_events":"https://pith.science/api/pith-number/5IL7W6CMNGASXSH4IM5LZKWLLG/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/5IL7W6CMNGASXSH4IM5LZKWLLG/action/timestamp_anchor","attest_storage":"https://pith.science/pith/5IL7W6CMNGASXSH4IM5LZKWLLG/action/storage_attestation","attest_author":"https://pith.science/pith/5IL7W6CMNGASXSH4IM5LZKWLLG/action/author_attestation","sign_citation":"https://pith.science/pith/5IL7W6CMNGASXSH4IM5LZKWLLG/action/citation_signature","submit_replication":"https://pith.science/pith/5IL7W6CMNGASXSH4IM5LZKWLLG/action/replication_record"}},"created_at":"2026-05-18T01:05:47.450254+00:00","updated_at":"2026-05-18T01:05:47.450254+00:00"}