Claims

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1981_09_01_beck: Beck proved that one plus-minus-one function keeps the initial partial sums along the first d of infinitely many integer sequences bounded in terms of d, answering Problem 178 yes; refereed in Combinatorica.

2026_09_19_korsky: A 2026 manuscript claiming that the constant in Problem 178 can be taken as a fixed power of d with exponent 3/2 plus the square root of 2, improving Beck's exponent 4 plus epsilon; a site proof claim with no review known.

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