{"paper":{"title":"Parametrized $\\diamondsuit$ principles","license":"","headline":"","cross_cats":[],"primary_cat":"math.LO","authors_text":"Justin Tatch Moore, Michael Hru\\v{s}\\'ak, Mirna D\\v{z}amonja","submitted_at":"2006-08-25T16:39:05Z","abstract_excerpt":"We will present a collection of guessing principles which have a similar relationship to $\\diamond$ as cardinal invariants of the continuum have to $\\CH$. The purpose is to provide a means for systematically analyzing $\\diamond$ and its consequences. It also provides for a unified approach for understanding the status of a number of consequences of $\\CH$ and $\\diamond$ in models such as those of Laver, Miller, and Sacks."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0608641","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"}