Hiding data in permutations
A 225-bit cryptographic key can be stored as a permutation of a standard 52-card deck, according to an article by Stephen Hewitt in Paged Out! issue 9. SymPy's Permutation class provides O(n²) ranking…
A 225-bit cryptographic key can be stored as a permutation of a standard 52-card deck, according to an article by Stephen Hewitt in Paged Out! issue 9. SymPy's Permutation class provides O(n²) ranking…
A mathematician at Anthropic posted three polynomials on X that disprove the Jacobian conjecture, an 87-year-old open problem unsolved since 1939. The counterexample, found by Claude's Fable 5, consis…
Harvard mathematician Levent Alpöge used Anthropic's Fable model to produce a 216-character counterexample to the Jacobian Conjecture, an 87-year-old open problem proposed by Eduard Ott-Heinrich Kelle…
Levent Alpöge posted on X a counterexample to the Jacobian conjecture, a problem open since 1939, using Anthropic's Claude model. The counterexample consists of three polynomials that satisfy the conj…