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  "problem_id": "vibemathed:manin-diagonal-cubic-r-equivalence",
  "title": "Manin's Question on R-Equivalence for the Diagonal Cubic",
  "canonical_statement": "Swinnerton-Dyer (1981) proved $R$-equivalence trivial on smooth cubic surfaces over $p$-adic fields with good reduction, except for three special types. The paper resolves two long-standing exceptional cases: triviality for the diagonal cubic over $\\mathbb{Q}_3$, answering a question from Manin's Cubic Forms (1972), and the cubic with universal equivalence of exponent 2 (Kanevsky, 1982).",
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      "title": "arXiv",
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