Skip to content

Claude's Fable Cracked an 87 Year Old Math Problem

July 30, 2026 · 52 min

Show notes

A 100-year-old conjecture was proved false on a laptop during the World Cup final. Anthropic's Levent Alpoge used Claude Fable 5 to find a three-dimensional counterexample disproving the Jacobian conjecture - we break down what the Jacobian actually is (in Google Maps terms) and why Anthropic is the only lab that can see whether Claude was brilliant or lucky.

Then: 50 companies including Nvidia, Microsoft, Meta, and a16z signed the Open Weights letter telling Washington hands off, OpenAI and Google quietly added their names a day later, and Anthropic is the lone holdout - while reportedly lobbying DC to restrict Chinese weights the whole time. Plus we do the math on the Kimi K3 distillation timeline: Fable 5 was live for 18 days before K3 shipped, so how much Claude is realistically in there?

All episodes of Pretrained

Settings

Display

Language

Decides which stations you see first on the home page.

History

Recently played stations and episodes and your latest searches are only stored in this browser.

Notifications

A short notice when a podcast you follow has a new episode. Turn off single podcasts with the bell on their page.

Account

Save favorites – in the app and on the website.

Keyboard shortcuts

/
Open search
Space
Play or pause
← →
In the player: back 15 s, forward 30 s (episodes) · in a row: next tile
↑ ↓
In a row: target within the tile
Home / End
In a row: first or last tile
Esc
Close window or menu
?
This overview
Now playing

Go to station page

Play next

    Add episodes with “Play next” – they play after the current episode.