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<item>
<title><![CDATA[Strive Doubles Down on Bitcoin with $4.2B Offering as Strategy Sells – Who's Winning?]]></title>
<link>https://www.bitcointoday.app/article/strive-doubles-down-on-bitcoin-with-42b-offering-as-strategy-sells-whos-winning</link>
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<pubDate>Tue, 02 Jun 2026 20:01:28 GMT</pubDate>
<description><![CDATA[**Strive** received a nod of approval from **Benchmark-StoneX** analysts after the Bitcoin-buying asset manager padded cash reserves while growing its stockpile. The firm purchased **2,500 BTC** last week, expanding its holdings to **19,000 BTC ($1.3 billion)**, and raised $44 million to ensure dividends on its preferred stock can be paid.
Strive has devised a variable-rate product dubbed **SATA**, offering a **13% annual dividend in daily payouts** starting June 16—the first listed security in the U.S. to offer routine daily dividends. Analyst Mark Palmer described Strive and Strategy as **friendly rivals**, not competitors, as both are committed to furthering "digital credit." He said, "This is not a zero-sum game."
The investment bank initiated Strive coverage with a **"Buy" rating and $32 price target**. Despite shares falling 6.6% on market jitters from Strategy's first Bitcoin sale since 2022, Strive is doubling down: Chairman Matt Cole announced plans to increase an issuance program by **$4.2 billion**.
Strive's framework **differentiates it** from most other Bitcoin treasury companies, as it relies on **debt-free preferred stock** rather than convertible debt or margin financing. SATA's lack of refinancing and collateral risks mitigates forced deleveraging during Bitcoin price downturns.
Palmer described Strive as **"nimble"** for swiftly shifting SATA's dividend format, while Strategy has asked shareholders to vote on bi-monthly distributions. Strive has also shaken off its debt entirely, a process Strategy signaled could take 3-6 years.
Benchmark-StoneX reiterated a **"Buy" rating and $570 price target** for Strategy, arguing the market wrongly treated its 32 BTC sale as a betrayal. They expect Strategy to remain a significant net buyer of Bitcoin.]]></description>
<author>contact@bitcointoday.app (BitcoinToday.app)</author>
<category>strive</category>
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<category>sata</category>
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<title><![CDATA[AI Breaks 80-Year-Old Geometry Puzzle: What This Means for Math and Crypto]]></title>
<link>https://www.bitcointoday.app/article/ai-breaks-80-year-old-geometry-puzzle-what-this-means-for-math-and-crypto</link>
<guid>ai-breaks-80-year-old-geometry-puzzle-what-this-means-for-math-and-crypto</guid>
<pubDate>Mon, 01 Jun 2026 07:01:25 GMT</pubDate>
<description><![CDATA[**OpenAI's AI model has solved an 80-year-old geometry puzzle** posed by Paul Erdős in 1946, known as the **unit distance problem**. The AI found configurations that beat long-standing conjectured bounds, proving at least **n^(1+δ) unit-distance pairs** for some δ>0. Mathematicians at Princeton have verified the result, with figures like **Tim Gowers** and **Arul Shankar** calling it a significant advance.
## Key Takeaways
- OpenAI solved Paul Erdős’ 1946 puzzle with **n^(1+δ) unit-distance constructions**.
- Princeton verified the result, giving AI a **2026 credibility boost** in mathematics.
- Tim Gowers says the advance could influence **cryptography** and proofs beyond geometry.
An 80-year-old geometry riddle finally budged when an OpenAI system stitched together an unlikely construction that beat long-standing expectations. The unit distance problem, posed by Paul Erdős in 1946, asks how many pairs of points exactly one unit apart can exist among n points in the plane; the AI found configurations that grow faster than the classic playbook allowed. Princeton mathematicians checked the work, and heavyweights like Tim Gowers and Arul Shankar took notice. Beyond bragging rights, the result hints at a **new kind of collaborator for math**, one that uses general inference to push past human heuristics.
## AI cracks 80-year-old mathematical mystery with breakthrough solution
Some problems keep nudging at the edges of human patience. The unit distance problem, posed in 1946 by Paul Erdős, asked a deceptively crisp question: with n points on a flat plane, how many pairs can be exactly 1 unit apart. Generations attacked it with grids, symmetry, and grit. Progress came in slivers, never in leaps. Then, quietly, an AI stepped in.
## A decades-old problem, solved at last
The classical approach arranged points in square grids, tweaking scale to coax more pairs at distance 1. That method suggested growth just above linear, roughly n multiplied by a factor that barely beats n as it gets large. The field settled around the idea that the best lower bound hovered near n^(1+o(1)), a notch above n, not a stride.
## How AI outperformed conjectures
According to researchers involved, an internal model from OpenAI proposed a new family of point configurations that crosses a threshold long thought out of reach. The system produced constructions with at least **n^(1+δ) unit-distance pairs**, for a fixed δ greater than 0 that does not fade as n increases. That is a genuine polynomial improvement, not a rounding error.
The approach blended geometric insight with **advanced algebraic number theory**, a surprising toolkit for a spatial counting puzzle. It did not come from a math-specialist engine. Instead, it emerged from a general inference model under evaluation, suggesting broader reasoning capabilities that can navigate across domains when the search space is vast.
## Confirmed by experts, celebrated by the field
Independent mathematicians at Princeton University reviewed the AI’s constructions and confirmed the result, per people familiar with the review. Esteemed voices, including **Sir Tim Gowers** and **Arul Shankar**, praised the advance as a meaningful step for the field. This is the case where a new lower bound, long static, finally moved because an AI found the right lens.
## Implications for mathematics and beyond
What does it mean when a generalist model nudges past entrenched conjectures? For one, it hints at a workflow where machines surface candidate structures and humans stress-test them. In addition to geometry, disciplines like **combinatorics, coding theory, and cryptography** could see similar collaborations when proofs hinge on rare constructions.]]></description>
<author>contact@bitcointoday.app (BitcoinToday.app)</author>
<category>ai</category>
<category>mathematics</category>
<category>geometry</category>
<category>openai</category>
<category>cryptography</category>
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<title><![CDATA[Why XRP Keeps Bouncing Back Above $1: The Hidden Catalyst That Could Send It Higher]]></title>
<link>https://www.bitcointoday.app/article/why-xrp-keeps-bouncing-back-above-1-the-hidden-catalyst-that-could-send-it-higher</link>
<guid>why-xrp-keeps-bouncing-back-above-1-the-hidden-catalyst-that-could-send-it-higher</guid>
<pubDate>Sun, 31 May 2026 20:01:26 GMT</pubDate>
<description><
Moreover, XRP lacks any clear catalysts following the conclusion of the SEC's lawsuit against Ripple, which dragged on from 2020 to 2025. The SEC had sued Ripple, whose founders created XRP, for selling their own XRP holdings to fund the company's expansion.
That lawsuit, which drove the top crypto exchanges to delist XRP, caused XRP's price to drop below $1 throughout most of 2022 and 2024. But in 2025, it bounced back and briefly rallied above $3 after that lawsuit ended with a lighter-than-expected fine for Ripple. The crypto exchanges relisted XRP, and the SEC even approved its first spot price ETFs. But after those temporary tailwinds dissipated, it pulled back to about $1 as the crypto market cooled off.
## But why isn't XRP dropping below $1 again?
Nevertheless, XRP has consistently stayed above $1 this year. It keeps bouncing back because the bulls believe **Tier-1 banks or major payment networks** will eventually use XRP to settle large fiat transactions faster and more cheaply than conventional SWIFT transfers.
XRP has already launched a few pilot programs and partnerships with Asian banks in Japan and Southeast Asia. In Japan, XRP's largest national market, a pilot program found that cross-border XRP transactions cost **60% less** than SWIFT transfers.
**SBI Remit**, the international transfer arm of Japan's **SBI Holdings**, has already used Ripple's On-Demand Liquidity service -- which uses XRP as a bridge currency -- to settle more than **$15 billion** in transactions. Therefore, XRP could still have a bright future in countries that don't use the U.S. dollar (and dollar-pegged stablecoins) to settle their fiat transactions.
So while XRP's investors will likely admit that stablecoins like Ripple USD will cannibalize some of their dollar-based transactions, they don't perceive it as a zero-sum game. That's why XRP keeps bouncing back -- and why it won't simply fizzle out over the next few years.]]></description>
<author>contact@bitcointoday.app (BitcoinToday.app)</author>
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<title><![CDATA[Cardano's Shocking Revenue: Only $352K in 2026 Despite $8.2B Market Cap – What's Wrong?]]></title>
<link>https://www.bitcointoday.app/article/cardanos-shocking-revenue-only-352k-in-2026-despite-82b-market-cap-whats-wrong</link>
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<pubDate>Sat, 30 May 2026 20:01:23 GMT</pubDate>
<description><![CDATA[**Charles Hoskinson’s Cardano** has generated a mere **$352,000 in revenue in 2026**, despite boasting a massive **$8.2 billion market cap**. This staggering disparity raises serious questions about the project's fundamentals and real-world adoption.
## The Numbers Don't Lie
Cardano (CRYPTO: ADA) continues to struggle this year, with its on-chain activity and fee generation falling far short of expectations. The revenue figure represents the total fees collected from transactions, highlighting a lack of network usage.
## Market Cap vs. Revenue
With a market cap of $8.2 billion, Cardano's annual revenue of $352,000 implies a **price-to-sales ratio of over 23,000**, making it one of the most overvalued assets in crypto. For comparison, Ethereum generates billions in fees annually.
## What This Means for Investors
This data point underscores the **speculative nature** of many crypto projects. Without meaningful usage, high market caps may not be sustainable. Investors should focus on **fundamentals like revenue, active users, and developer activity** rather than hype.
The article notes that Cardano's ecosystem has yet to see widespread adoption, with its smart contract capabilities still underutilized. This raises concerns about the project's long-term viability.]]></description>
<author>contact@bitcointoday.app (BitcoinToday.app)</author>
<category>cardano</category>
<category>ada</category>
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<title><![CDATA[Why Bitcoin Is Slumping Despite Gold and Nasdaq Rallying – Strategy's Absence Explained]]></title>
<link>https://www.bitcointoday.app/article/why-bitcoin-is-slumping-despite-gold-and-nasdaq-rallying-strategys-absence-explained</link>
<guid>why-bitcoin-is-slumping-despite-gold-and-nasdaq-rallying-strategys-absence-explained</guid>
<pubDate>Fri, 29 May 2026 14:01:08 GMT</pubDate>
<description><![CDATA[Bitcoin's price continued its slide on Thursday, even as the Nasdaq and gold rallied, while the U.S. dollar and Treasury yields fell. So what's ailing the cryptocurrency? The key factor is that **ETF outflows** haven't been countered by **Strategy**'s (MSTR) on-again, off-again buying binge.
There have been seven weeks this year during which Strategy bought more than $1 billion worth of bitcoin, including three weeks with buys over $2 billion. That kind of support might have offset outflows from bitcoin ETFs, including the iShares Bitcoin Trust ETF (IBIT). Those outflows totaled **$1.29 billion** over the past three days, according to CoinGlass.
As Strategy did last week, the biggest bitcoin whale is continuing to sit on the sidelines this week. The risk is that Strategy's buying power may remain muted for a while. Meanwhile, Strategy is likely issuing more shares of MSTR common stock this week to make a roughly **$90 million dividend payment** due at the end of May.
## Strategy Can't Stretch
Just two weeks ago, Strategy bought **$2 billion** worth of bitcoin. But its buying power abruptly faded.
Issuance of its **Stretch preferred stock (STRC)** is one of Strategy's two big guns for financing bitcoin purchases. The other is issuance of new MSTR shares. Strategy issues both types of shares through at-the-market offerings. When STRC trades at **100 or higher**, Strategy revs up its bitcoin purchases. It did so in mid-May, powered by $1.95 billion worth of STRC issuance.
However, STRC fell back below par value on May 15. So Strategy stopped issuing more preferred shares and ended its buying binge. As of Thursday afternoon, STRC had fallen to **98.57**, suggesting it could be a while before the preferred shares are able to fuel more purchases.
It's possible that STRC will get back to 100 in time for the **June 15 record date** for next month's payment of the 11.5% annual dividend. If that doesn't happen, it could be an ominous sign.
## No MSTR Big Shot
Strategy could finance bitcoin purchases by issuing more MSTR stock, but that's unlikely at the moment. One reason is that Strategy prefers to buy when there's a **tailwind**. Otherwise there's a bigger risk that its purchases will do relatively little to boost the bitcoin price and the value of Strategy's holdings, so the extra MSTR issuance could drive its own stock price lower.
However, the primary reason that MSTR is sidelined this week has to do with Strategy's focus on increasing its **bitcoin-per-share ratio**. Based on the current bitcoin price of around **$73,500**, purchasing more bitcoin through MSTR share sales would slightly reduce the bitcoin per share ratio. Strategy's stock price would have to rise about **7%** from here, with the bitcoin price staying neutral, for MSTR-financed purchases to be neutral for the ratio. If MSTR rises more than 7%, purchases would increase bitcoin per share.
Strategy founder **Michael Saylor** believes that increasing bitcoin per share will allow MSTR to rise faster than bitcoin itself. However, staying true to that metric is probably a negative for the bitcoin price at the moment. And the price is weighing on Strategy's own stock price.
## MSTR, Bitcoin
MSTR fell **1.7%** to 151.64 on Thursday, bringing its loss to **5.2%** on the week. Strategy shares edged up 0.2% early Friday. The iShares Bitcoin Trust ETF fell **2.1%** to 41.56, the lowest level since April 16. Through Thursday, IBIT is down 3.3% on the week as the bitcoin price has pulled back.
Meanwhile, the SPDR Gold Shares ETF (GLD), which tracks the gold price, rose **1.05%** on Thursday, cutting its week-to-date loss to 0.25%. GLD is continuing to outperform IBIT early Friday, rising 0.7% to the bitcoin price ETF's 0.1% gain.]]></description>
<author>contact@bitcointoday.app (BitcoinToday.app)</author>
<category>bitcoin</category>
<category>strategy</category>
<category>mstr</category>
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