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Today’s Menu

• AI Just Cracked a 30-Year-Old Math Problem in 6 Hours

• Strategy CEO Finally Addresses Bitcoin Selling Scenario\

Markets

TODAY IN AI

AI Just Cracked a 30-Year-Old Math Problem in 6 Hours

Aristotle, an AI system built by Harmonic, just independently solved a 30-year-old Erdős problem, marking what researchers are calling the first real step into the "vibe proving" era of mathematics.

Aristotle solved a version of Erdős Problem #124, which has been open since the 1990s, in six hours, then formally verified the proof in Lean in a minute. The result came from Aristotle's beta version, updated with stronger reasoning and a natural language interface to explore and write step-by-step proofs.

Vlad Tenev, the founder of Harmonic, called this the arrival of "vibe proving" - AI-driven proof discovery followed by machine-verifiable rigor. The development follows Harmonic's $120M funding and Aristotle's IMO gold performance, putting it alongside Google and OpenAI in mathematical reasoning.

Harmonic's breakthrough is another push toward mathematical superintelligence, where proofs will be generated, verified, and scaled at superhuman speeds. Tools like these can open participation in advanced mathematics, turning it from something only experts do into something anyone can contribute to.

When AI solves problems that stumped mathematicians for decades in six hours, that's not incremental progress - that's a paradigm shift in human knowledge discovery.

TODAY IN CRYPTO

Strategy CEO Finally Addresses Bitcoin Selling Scenario

The Strategy FUD continues, but CEO Phong Le finally laid out the conditions under which they would touch their Bitcoin - calling it a "last resort."

Le said they would only consider selling BTC if both conditions are true: MSTR trades below net asset value (mNAV < 1) so issuing new shares destroys value, and access to fresh capital dries up so they cannot roll or raise funding normally.

In that scenario, he called selling some BTC "mathematically" justified to protect Bitcoin yield per share. If dilution is worse than selling coins, they reserve the right to sell.

This matters because Strategy now holds roughly $750-800 million yearly in dividend obligations on preferred shares. The plan: when stock trades at premium, raise capital and buy more BTC while paying dividends through good and bad markets to prove sustainability.

They launched a BTC Credit dashboard arguing they can meet obligations for decades even if BTC goes sideways and remain solvent at much lower prices. Strategy claims debt is covered if Bitcoin falls to $74K and remains "manageable" even near $25K.

Then Saylor added intrigue - after a year of orange dots on weekend X posts hinting at Monday buys, he teased a switch to green dots. The market is reading it as some kind of shift, even if nobody knows which way.

The core message: they're not planning to sell, but they want the market to know they can if they have to.

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Thanks for reading!

Until next time,

Damon James