Post-Cutoff

hello there ℤ is Diophantine in ℚ

Elliot Glazer @ElliotGlazerXImportance: major (4 of 5)

Why it matters

Announcement of the AI-produced manuscript claiming ℤ is Diophantine in ℚ (refuting Mazur’s conjecture); ~396k views.

Summary

Glazer announces a proof that the integers are a Diophantine subset of the rationals, crediting Astra and Claude, and gives the size of the first polynomial (later versions in his repository reduce it to a 222-variable quartic).

Archived text

hello there ℤ is Diophantine in ℚ, thanx to my close friends Astra and Claude

The polynomial characterizing ℤ isn’t quite Tweet-sized; it has m=292,890,231,905 variables, is of degree d < 2^^7, and all its coefficients have absolute value < 2^^8.

Source: x.com/ElliotGlazer/status/2118403066198376903

Cited in

  1. Science & math 128 days after the cutoff

    ℤ is Diophantine in ℚ: Glazer (Astra, Claude) and Burungale claim Mazur’s conjecture fails