Bitcoin’s Security, Finally Proven?
![The system models a punctuated arrival process wherein intervals of length Δ are systematically removed, effectively deleting honest blocks and influencing a cumulative score-[latex]B(i)[latex]-that reflects the impact of these deletions on a fully-delayed chain, with the score growth within each interval-[latex]S_{b,i}[latex]-being statistically independent and identically distributed due to the consistent [latex]\Delta[/latex]-length removal.](https://arxiv.org/html/2601.09082v1/x2.png)
A new mathematical proof establishes, with greater rigor than ever before, that honest nodes will consistently outpace malicious actors in the Bitcoin network.
![The system models a punctuated arrival process wherein intervals of length Δ are systematically removed, effectively deleting honest blocks and influencing a cumulative score-[latex]B(i)[latex]-that reflects the impact of these deletions on a fully-delayed chain, with the score growth within each interval-[latex]S_{b,i}[latex]-being statistically independent and identically distributed due to the consistent [latex]\Delta[/latex]-length removal.](https://arxiv.org/html/2601.09082v1/x2.png)
A new mathematical proof establishes, with greater rigor than ever before, that honest nodes will consistently outpace malicious actors in the Bitcoin network.

I’m so excited to share that Amazon is actually making a Tomb Raider TV show! It was announced last year, and it’s going to star Sophie Turner – yes, Sansa from Game of Thrones – as Lara Croft. We just got our first glimpse of her as Lara, and she looks amazing! I can’t wait to see it.

A great illustration of this trend is the “soulslike” genre, a term that didn’t exist before FromSoftware created challenging and difficult games. Now, it’s hard to discuss gaming without mentioning titles like Elden Ring, or the many other excellent games inspired by that initial risk-taking. But soulslikes aren’t the only example. Over the past few years, we’ve seen several new game classifications emerge to describe experiences fundamentally different from what came before. Some of these new genres are simply existing ones with a unique spin, while others cleverly blend elements from different types of games, creating surprisingly compelling combinations that nobody would have predicted.

Longtime fans of the Animal Crossing series likely noticed how naturally these changes happened. The game has always been about things shifting behind the scenes, and no characters represent that quite like Kapp’n and Mr. Resetti. They used to be central to how you traveled, faced consequences, and understood the game’s structure, but New Horizons has given them new, more relaxed roles. Here’s a look at their history and how they’ve evolved in the latest game.

Following the news that New World will no longer receive updates and will be shut down after 2026, Amazon Games has announced the specific date the game will become unavailable.

Certain game franchises, like Super Mario and DOOM, have an incredible staying power and remain popular even when new installments aren’t released frequently. This lasting appeal can also extend to creators and studios – think of Hideo Kojima or Naughty Dog – who continue to be well-known even as they work on different projects. Back in the early 2000s, many people would have predicted Duke Nukem would achieve this same level of enduring popularity, as it was often compared to DOOM and Quake. However, with younger gamers now unfamiliar with the series, it’s become apparent that Duke Nukem’s cultural impact has faded over time.

Strong protagonists generally take charge of their own narratives and inspire others with their goals and personality. While some Bleach characters, like Hiryoi Sarugaki and Marechiyo Omaeda, don’t quite fit that mold, others would be perfect for leading their own stories. In fact, six characters from Tite Kubo’s Bleach universe could easily carry a spinoff, prequel, or other related project.

After the partnership ended, Silicon Knights created the games Too Human and X-Men Destiny before going bankrupt in 2014. This bankruptcy followed a legal battle with Epic Games, which claimed Silicon Knights improperly used the Unreal Engine 3. Denis Dyack, the former head of Silicon Knights, worked at several different game companies and even tried to fund a new game similar to Eternal Darkness through crowdfunding, but the project never launched. In 2018, Dyack started a new company called Apocalypse Studios and announced Deadhaus Sonata as its first release.

Dated January 15, their letter reads like a plea from a forgotten village, beseeching the SEC to stop dismissing cases against crypto kings like Binance, Coinbase, and Kraken. Since January 2025, the SEC has closed a dozen such cases, including the recent surrender to the Zcash Foundation. One wonders if the agency’s servers were struck by a sudden bout of amnesia or if the coffee ran out. 😒
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