An Anthropic researcher credited Claude Fable 5 with disproving an 87-year-old math conjecture, underscoring how closely Bitcoin (BTC) now tracks artificial intelligence.
Key Points:
- An Anthropic mathematician says the company's newest model produced a counterexample to the Jacobian conjecture, open since 1939.
- Other mathematicians reproduced the algebra within hours, though no journal has refereed the result and the two-variable case stays open.
- Bitcoin has traded on AI headlines for months, falling below $64,000 after a Chinese model release on Jul. 17 before recovering this week.
Jacobian Conjecture Falls To Claude Fable 5
Levent Alpöge, a number theorist who works at Anthropic and previously held a Harvard fellowship, posted the counterexample on X late Sunday, during the World Cup final.
He credited the company's newest model and thanked Akhil Mathew, the University of Chicago algebraic geometer who had raised the question with him earlier that day. The Jacobian conjecture, first stated in 1939, asked whether a polynomial map with a constant, nonzero determinant must always be reversible.
Fable 5 returned a map from three-dimensional complex space to itself whose Jacobian determinant equals a constant of minus two, a value that satisfies the conjecture's premise without qualification. Three distinct inputs then land on exactly the same output point, which means the map has no inverse at all and the rule collapses.
Other mathematicians reproduced the algebra within hours, using standard symbolic software and rational arithmetic that leaves no room for approximation. No journal has refereed the work. The two-variable case, the version closest to the problem's historical origin, also remains open.
Also Read: Dow Jones Industrial Average Volatility Tests Bitcoin's Decoupling Story
Bitcoin Tracks AI Capability, Not Crypto News
Bitcoin has spent much of this year moving on artificial intelligence headlines rather than on catalysts from inside the crypto market itself. Its biggest holders, the miners, have rebuilt themselves into AI data-center operators, so their revenue now rises and falls with demand for raw computing power.
The clearest recent example came on Jul. 17, when Moonshot AI released its Kimi K3 model and dragged Bitcoin below $64,000 alongside a broad semiconductor selloff. Every demonstrated leap in what these systems can do strengthens the argument for owning chipmakers and model builders directly. That leaves crypto investors holding an asset that trades as a sidecar to a cycle they could simply own outright instead.
Bitcoin Price Rebounds With Chip Stocks
Bitcoin traded near $66,400 on Tuesday morning after opening at $65,214.10, up 0.8% from Monday.
The gain coincided with an uptick in the tech-heavy Nasdaq 100 as investors' risk appetite briefly returned.
The past month has been choppy for the asset. Bitcoin stands about 4.8% above its level a week ago and 1.5% above a month ago, but it remains roughly 36.9% lower than a year earlier. Spot Bitcoin exchange-traded funds logged a second consecutive week of net inflows, their first back-to-back run since May.
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