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Schwab Hands Tens of Millions the Keys While the Math Behind Bitcoin Gets Its Strongest Audit Yet

Charles Schwab opened spot Bitcoin and Ether trading to all eligible retail clients this week, with Solana, Avalanche and Chainlink scheduled to join before the year ends. Paxos handles execution and custody behind the scenes, trades carry a flat 0.75 percent fee, and clients can now start moving coins they already own onto the platform. In the same week, an Anthropic research model traced the mysterious seeds behind the NSA supplied elliptic curves to an ordinary 1990s random number generator in under 30 minutes, a result that strengthens confidence in the cryptography securing the modern web while leaving Bitcoin, which runs on the simpler secp256k1 curve, untouched. President Trump also waived the tariff package aimed at buyers of Russian oil two days before it was set to take effect, giving energy markets room to breathe. Bitcoin held near 81,500 dollars in a calm Saturday session as the Fear and Greed index cooled to 55.

Schwab announced the full rollout during its October 15 Fall Business Update. Schwab opened a waitlist in April, gave its first retail clients access in May, and named the next three assets in August. The scale is what makes it matter. Schwab serves 40.1 million retail investors and holds 13.33 trillion dollars in client assets, which makes this one of the largest mainstream doors into direct coin ownership ever opened. Trading lives inside the regular Schwab account, on the website, the mobile app and thinkorswim, at one flat fee per trade. New York and Louisiana are still working through state licensing. Transfers are arriving in stages, with deposits on the Bitcoin and Ethereum networks opening first.

Friday brought the week's most satisfying piece of cryptography news. Anthropic disclosed that an internal Claude research model had solved a mystery that had puzzled cryptographers for 25 years. The unexplained seed numbers inside five NIST elliptic curves, P192, P224, P256, P384 and P521, turned out to come from lrand48, a humble C library random number generator initialized with Unix timestamps from 1997 and 1998. Claude noticed the top bits of the seeds were always zero, a fingerprint of lrand48's 31 bit output, then tested timestamps until the P256 seed reproduced. The result makes a hidden NSA backdoor less likely, and Anthropic says users of the NIST curves can carry on as before. The finding earned a 36,864 dollar bounty, which goes to the Internet Security Research Group, the nonprofit behind Let's Encrypt. For Bitcoin holders the takeaway is direct. Bitcoin signs its transactions with secp256k1, a curve built from simple publicly understood numbers that leave little room to hide a weakness, and this week's result reads as fresh confirmation that Satoshi's design choice pointed the right way. Just last week Vitalik Buterin cautioned that AI could soon find hidden weaknesses in the cryptography protecting crypto. This week an AI went looking, and what it found was reassurance.

Energy markets got their own breather. Late on Friday, President Trump waived the sanctions, restrictions and duties in the Lindsey O. Graham Sanctioning Russia and Iran Act of 2026, two days before the measures were set to take effect, certifying to Congress that the waiver serves the national interest. The law, signed in September, would have let Washington impose tariffs of up to 100 percent on goods from the biggest buyers of Russian oil and gas, a list that includes India and China, plus 500 percent duties on Russian goods. For India the relief is immediate and large. The country imports more than 88 percent of the crude it uses, and Russian oil made up 45 percent of those imports in August. The waiver can be withdrawn at any time and the US Trade Representative keeps monitoring Russian energy purchases, so Washington keeps its leverage for the trade talks ahead. With fuel prices running hot into the November midterms, cheaper and steadier energy is a tailwind for every market, and for the miners and data centers that turn electricity into hashes it lands as welcome relief.

The tape itself stayed calm. Bitcoin traded near 81,500 dollars, easing 0.7 percent, while Ether sat near 2,425 dollars. Total crypto market value held near 2.84 trillion dollars on volume near 79 billion, with Bitcoin dominance around 57.7 percent and Ether holding about 10.4 percent. The Fear and Greed index cooled to 55 from 63 a day earlier, still in Greed territory but with the froth coming off. Stablecoins held steady near 299 billion dollars while DeFi value eased 1.8 percent to 78.4 billion. Celestia was the day's standout, up about 9 percent. The session read as quiet consolidation while the market digested a week of real news.

Put the week together and the pattern is hard to miss. The doors into this market keep getting wider, the mathematics underneath keeps getting stronger, and the energy backdrop just got friendlier. Schwab putting real coins inside ordinary brokerage accounts turns crypto ownership into something a retiree can do alongside a bond fund. An AI auditing a 25 year old cryptographic mystery and reporting back that the foundations are sound is the kind of verification money cannot buy. For the reader the message stays simple. Own your keys when you can, keep learning how the system works, and let the builders keep building. The patient money usually gets paid.

Quick answers

What is this story about?

Charles Schwab opened spot Bitcoin and Ether trading to all eligible retail clients this week, with Solana, Avalanche and Chainlink scheduled to join before the year ends. Paxos handles execution and custody behind the scenes, trades carry a flat 0.75 percent fee, and clients can now start moving coins they already own onto the platform. In the same week, an Anthropic research model traced the mysterious seeds behind the NSA supplied elliptic curves to an ordinary 1990s random number generator in under 30 minutes, a result that strengthens confidence in the cryptography securing the modern web while leaving Bitcoin, which runs on the simpler secp256k1 curve, untouched. President Trump also waived the tariff package aimed at buyers of Russian oil two days before it was set to take effect, giving energy markets room to breathe. Bitcoin held near 81,500 dollars in a calm Saturday session as the Fear and Greed index cooled to 55.

Why does this story matter?

Put the week together and the pattern is hard to miss. The doors into this market keep getting wider, the mathematics underneath keeps getting stronger, and the energy backdrop just got friendlier. Schwab putting real coins inside ordinary brokerage accounts turns crypto ownership into something a retiree can do alongside a bond fund. An AI auditing a 25 year old cryptographic mystery and reporting back that the foundations are sound is the kind of verification money cannot buy. For the reader the message stays simple. Own your keys when you can, keep learning how the system works, and let the builders keep building. The patient money usually gets paid.

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