Claude Fable 5 disproved the Jacobian conjecture over the weekend, landing days after the capabilities of China's Kimi AI became the biggest force moving bitcoin markets.
- An Anthropic AI model, Claude Fable 5, helped disprove the 87-year-old Jacobian conjecture, a famous open problem in mathematics dating to 1939.
- The model produced a concrete counterexample that mathematicians could verify by hand within a day, showing that a certain kind of mathematical “machine” can pass standard checks yet still not be reversible.
- The breakthrough underscores how rapidly advancing AI capabilities are drawing speculative capital and attention away from crypto and toward computing power, chips and model builders.
hello there the jacobian conjecture is false thanx to my close friend akhil for asking about it and my other close friend fable for working during the world cup final ((1+xy)^3 z + y^2 (1+xy) (4+3xy), y + 3 x (1+xy)^2 z + 3 x y^2 (4+3xy), 2 x - 3 x^2 y - x^3 z): \C^3\to \C^3, has jacobian determinant -2, and sends (0, 0, -1/4), (1, -3/2, 13/2), and (-1, 3/2, 13/2) to (-1/4, 0, 0)
That an AI produced original mathematics of this difficulty is the kind of capability leap that now moves markets , crypto among them. Bitcoin has spent months trading on a narrative about artificial intelligence, moving with chipmakers and memory stocks rather than any catalyst of its own.
It fell hard last Friday when Chinese lab Moonshot AI released a model that rattled the semiconductor industry, and it recovered this week as those stocks bounced.
Part of that link is direct. Bitcoin's biggest holders, its miners, have rebuilt themselves into AI data-center operators, so their fortunes now rise and fall with demand for computing power.
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Beyond the Risk-Free Rate: Diversified Real World Yield in Productive Stablecoins
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Why it matters :
Diversified RWA stablecoins sustain 5-7% yield from real credit as crypto funding compresses to ~4%. GENIUS pushes yield off-chain; TAM grows to $4B in 3 years.
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