{"paper":{"title":"Cicho\\'n's maximum","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.LO","authors_text":"Jakob Kellner, Martin Goldstern, Saharon Shelah","submitted_at":"2017-08-08T11:55:27Z","abstract_excerpt":"Assuming four strongly compact cardinals, it is consistent that all entries in Cicho\\'n's diagram are pairwise different, more specifically that \\[ \\aleph_1 < \\mathrm{add}(\\mathrm{null}) < \\mathrm{cov}(\\mathrm{null}) < \\mathfrak{b} < \\mathrm{non}(\\mathrm{meager}) < \\mathrm{cov}(\\mathrm{meager}) <\n  \\mathfrak{d} < \\mathrm{non}(\\mathrm{null}) < \\mathrm{cof}(\\mathrm{null}) < 2^{\\aleph_0}.\\]"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.03691","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"}