Tootfinder

On the squares functor and the Gaitsgory-Rozenblyum conjectures
F\'elix Loubaton, Jaco Ruit
https://arxiv.org/abs/2507.07807 https://

On the squares functor and the Gaitsgory-Rozenblyum conjectures
In the seminal work of Gaitsgory and Rozenblyum on derived algebraic geometry, eight conjectures regarding the theory of $(\infty,2)$-categories are stated. This paper aims to clarify the status of these claims, and to provide a proof for the last remaining open one. Along the way, we demonstrate the universal property of the so-called squares functor, a construction that plays an important role in the $(\infty,2)$-categorical foundations of Gaitsgory-Rozenblyum.

»Over 600 Laravel Apps Exposed to Remote Code Execution Due to Leaked APP_KEYs on GitHub:
Cybersecurity researchers have discovered a serious security issue that allows leaked Laravel APP_KEY's to be weaponized to gain remote code execution capabilities on hundreds of applications.«
Never store your access keys in Git, especially not in the code – do programmers need to be taught this?!??
🔓

Over 600 Laravel Apps Exposed to Remote Code Execution Due to Leaked APP_KEYs on GitHub
GitGuardian uncovers 260,000 leaked Laravel APP_KEYs on GitHub, exposing over 600 apps to remote code execution.

Convergence order of the quantization error for self-affine measures on Lalley-Gatzouras carpets
Sanguo Zhu
https://arxiv.org/abs/2508.06875 https://arxiv.…

Convergence order of the quantization error for self-affine measures on Lalley-Gatzouras carpets
Let $E$ be a Lalley-Gatzouras carpet determined by a set of contractive affine mappings $\{f_{ij}\}_{(i,j)\in G}$. We study the asymptotics of quantization error for the self-affine measures $μ$ on $E$. We prove that the upper and lower quantization coefficient for $μ$ are both bounded away from zero and infinity in the exact quantization dimension. This significantly generalizes the previous work concerning the quantization for self-affine measures on Bedford-McMullen carpets. The new ingred…

Wie ordnet man 5000 Bücher?
https://www.faz.net/aktuell/feuilleton/buecher/kleinanzeige-gutsherr-sucht-jemanden-der…

#Security Alert: Massive #Laravel APP_KEY leak exposing 600 apps to remote code execution 🚨 #GitGuardian &

'RDW en Tesla omzeilden regelgeving bij goedkeuring Autopilot' - #Zembla - #BNNVARA
https://www…

A Portable Multi-GPU Solver for Collisional Plasmas with Coulombic Interactions
James Almgren-Bell, Nader Al Awar, Dilip S Geethakrishnan, Milos Gligoric, George Biros
https://arxiv.org/abs/2508.06771 …

A Portable Multi-GPU Solver for Collisional Plasmas with Coulombic Interactions
We study parallel particle-in-cell (PIC) methods for low-temperature plasmas (LTPs), which discretize kinetic formulations that capture the time evolution of the probability density function of particles as a function of position and velocity. We use a kinetic description for electrons and a fluid approximation for heavy species. In this paper, we focus on GPU acceleration of algorithms for velocity-space interactions and in particular, collisions of electrons with neutrals, ions, and electrons…

Do Streetscapes Still Matter for Customer Ratings of Eating and Drinking Establishments in Car-Dependent Cities?
Chaeyeon Han, Seung Jae Lieu, Uijeong Hwang, Subhrajit Guhathakurta
https://arxiv.org/abs/2508.06513

Do Streetscapes Still Matter for Customer Ratings of Eating and Drinking Establishments in Car-Dependent Cities?
This study examines how indoor and outdoor aesthetics, streetscapes, and neighborhood features shape customer satisfaction at eating and dining establishments (EDEs) across different urban contexts, varying in car dependency, in Washington, DC. Using review photos and street view images, computer vision models quantified perceived safety and visual appeal. Ordinal logistic regression analyzed their effects on Yelp ratings. Findings reveal that both indoor and outdoor environments significantly …

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US brings hate crime charges against suspect in killing of Israeli embassy staffers (Andrew Goudsward/Reuters)
https://www.reuters.com/world/middle-east/us-brings-hate-crime-charges-against-suspect-killing-israeli-embassy-staffers-2025-08-06/
http://www.memeorandum.com/250806/p134#a250806p134