Tootfinder

Introducing Web Numbers
Domains? Where we’re going, we don’t need domains!
Get ready for an exciting new (old?) way to address (small) web sites in 2026.
https://ar.al/2025/06/25/web-numbers/
💕
(Thanks to @…

Web Numbers
Domains? Where we’re going, we don’t need domains! Until the end of this year, the only way to have a secure web site is to have it accessible via a domain name. That, however, is changing. And the design of the Small Web will be changing along with it. IP addresses are about to make a comeback on the web in a big (ok, small) way, thanks to upcoming support for security certificates for IP addresses by Let’s Encrypt.

How the Center for Investigative Reporting is handling the lawsuit against OpenAI as one of the few nonprofits with the resources to take on a yearslong suit (Andrew Deck/Nieman Lab)
https://www.niemanlab.org/2025/06/what-it-takes-to-sue-op…

Counting biquadratic number fields with quaternionic and dihedral extensions
Louis M. Gaudet, Siman Wong
https://arxiv.org/abs/2506.21522 https://

Counting biquadratic number fields with quaternionic and dihedral extensions
We establish asymptotic formulae for the number of biquadratic number fields of bounded discriminant that can be embedded into a quaternionic or a dihedral extension. To prove these results, we express the solvability of these inverse Galois problems in terms of Hilbert symbols, and then apply a method of Heath-Brown to bound sums of linked quadratic characters.

Commanders LB Von Miller pays tribute to Kobe Bryant and former teammates with new number https://www.espn.com/nfl/story/_/id/45830796/washington-commanders-von-miller-jersey-24-tribute-kobe-bryant-champ-bailey-c…

Salem numbers and commensurability classes of arithmetic hyperbolic manifolds
Michelle Chu, Plinio G. P. Murillo
https://arxiv.org/abs/2506.20552 https://

Salem numbers and commensurability classes of arithmetic hyperbolic manifolds
In this article we show that given a Salem number $λ$, a totally real number field $k\subseteq\mathbb{Q}(λ+λ^{-1})$, and a positive integer $n\geq\mathrm{deg}_k(λ)-1$, there exist infinitely many commensurability classes of arithmetic hyperbolic $n$-manifolds defined over $k$ which contain a geodesic of length $\logλ$.

Cooling of an optically levitated nanoparticle via measurement-free coherent feedback
Bruno Melo, Daniel Veldhuizen, Gregoire F. M. Tomassi, Nadine Meyer, Romain Quidant
https://arxiv.org/abs/2506.21341

Cooling of an optically levitated nanoparticle via measurement-free coherent feedback
We demonstrate coherent, measurement-free optical feedback control of a levitated nanoparticle, achieving phonon occupations down to a few hundred phonons. Unlike measurement-based feedback, this all-optical scheme preserves the correlations between mechanical motion and the feedback signal. Adjustment of the feedback phase and delay provides precise and tunable control over the system dynamics. The ultimate cooling performance is currently limited by phase noise, which we analyze within a theo…

Simultaneous estimation of the effective reproduction number and the time series of daily infections: Application to Covid-19
Hans R. K\"unsch, Fabio Sigrist
https://arxiv.org/abs/2506.21027

Simultaneous estimation of the effective reproduction number and the time series of daily infections: Application to Covid-19
The time varying effective reproduction number is an important parameter for communication and policy decisions during an epidemic. It is difficult to estimate because it depends on latent variables such as new infections and other characteristics of an epidemic which have to be inferred from available data. In this paper, we present new statistical methods for a popular model which defines the effective reproduction number based on self-exciting dynamics of new infections. Such a model is conc…

Currently re-running benchmarks for Bunny to prepare for the first 0.6 alpha/beta. And hot damn, those numbers changed in 10 years. Also running them for php-amqplib to get a fair and proper update. But I'm so hyped for how much those numbers have improved!
#php #amqp

0.94 and 9.3: Why the numbers say the Cowboys have wasted a fan favorite offensive weapon https://cowboyswire.usatoday.com/story/sports/nfl/cowboys/2025/06/25/cowboys-hunter-luepke-potential-role-2025/8434247900…

Upper bounds on class numbers of real quadratic fields
Riccardo Bernardini
https://arxiv.org/abs/2506.21301 https://arxiv.org/pdf/250…

Upper bounds on class numbers of real quadratic fields
We prove that, for any $\varepsilon>0$, the number of real quadratic fields $\mathbb{Q}(\sqrt{d})$ of discriminant $d