Tootfinder

French prosecutors open a criminal investigation into X over allegations that the company manipulated its algorithms for the purposes of "foreign interference" (Politico)
https://www.politico.eu/article/france-opens-criminal…

France launches criminal investigation into Musk’s X over algorithm manipulation
The probe is based on complaints from a lawmaker and an unnamed senior civil servant.

$\pi_1$-injective bounding and application to 3- and 4-manifolds
Jianfeng Lin, Zhongzi Wang
https://arxiv.org/abs/2506.08847 https://…

$π_1$-injective bounding and application to 3- and 4-manifolds
Suppose a closed oriented $n$-manifold $M$ bounds an oriented $(n+1)$-manifold.It is known that $M$ $π_1$-injectively bounds an oriented $(n+1)$-manifold $W$. We prove that $π_1(W)$ can be residually finite if $π_1(M)$ is, and $π_1(W)$ can be finite if $π_1(M)$ is. In particular, each closed 3-manifold $M$ $π_1$-injectively bounds a 4-manifold with residually finite $π_1$, and bounds a 4-manifold with finite $π_1$ if $π_1(M)$ is finite. Applications to 3- and 4-manifolds are given: (…

France launches criminal investigation into Musk's X over algorithm manipulation (Politico)
https://www.politico.eu/article/france-opens-criminal-probe-into-x-for-algorithm-manipulation/
http://www.memeorandum.com/250711/p54#a250711p54

Detecting State Manipulation Vulnerabilities in Smart Contracts Using LLM and Static Analysis
Hao Wu, Haijun Wang, Shangwang Li, Yin Wu, Ming Fan, Yitao Zhao, Ting Liu
https://arxiv.org/abs/2506.08561

Detecting State Manipulation Vulnerabilities in Smart Contracts Using LLM and Static Analysis
An increasing number of DeFi protocols are gaining popularity, facilitating transactions among multiple anonymous users. State Manipulation is one of the notorious attacks in DeFi smart contracts, with price variable being the most commonly exploited state variable-attackers manipulate token prices to gain illicit profits. In this paper, we propose PriceSleuth, a novel method that leverages the Large Language Model (LLM) and static analysis to detect Price Manipulation (PM) attacks proactively.…

ULC: A Unified and Fine-Grained Controller for Humanoid Loco-Manipulation
Wandong Sun, Luying Feng, Baoshi Cao, Yang Liu, Yaochu Jin, Zongwu Xie
https://arxiv.org/abs/2507.06905

ULC: A Unified and Fine-Grained Controller for Humanoid Loco-Manipulation
Loco-Manipulation for humanoid robots aims to enable robots to integrate mobility with upper-body tracking capabilities. Most existing approaches adopt hierarchical architectures that decompose control into isolated upper-body (manipulation) and lower-body (locomotion) policies. While this decomposition reduces training complexity, it inherently limits coordination between subsystems and contradicts the unified whole-body control exhibited by humans. We demonstrate that a single unified policy …

Manifolds with kinks and the asymptotic behavior of the graph Laplacian operator with Gaussian kernel
Susovan Pal, David Tewodrose
https://arxiv.org/abs/2507.07751

Manifolds with kinks and the asymptotic behavior of the graph Laplacian operator with Gaussian kernel
We introduce manifolds with kinks, a class of manifolds with possibly singular boundary that notably contains manifolds with smooth boundary and corners. We derive the asymptotic behavior of the Graph Laplace operator with Gaussian kernel and its deterministic limit on these spaces as bandwidth goes to zero. We show that this asymptotic behavior is determined by the inward sector of the tangent space and, as special cases, we derive its behavior near interior and singular points. Lastly, we sho…

Dark monopoles
Vicente Vento
https://arxiv.org/abs/2507.06697 https://arxiv.org/pdf/2507.06697

Dark monopoles
Monopoles have been a subject of much theoretical and experimental research since they were proposed to symmetrize Maxwells equations. However, no experimental signature of their existence has been detected. Many mechanisms have been proposed to explain this lack of success. In here we generalize QED to a two photon theory where the magnetic photon and the monopole belong to dark matter. A naive mixing interaction produces duality and generates experimental consequences for indirect monopole de…

TensorTouch: Calibration of Tactile Sensors for High Resolution Stress Tensor and Deformation for Dexterous Manipulation
Won Kyung Do, Matthew Strong, Aiden Swann, Boshu Lei, Monroe Kennedy III
https://arxiv.org/abs/2506.08291

TensorTouch: Calibration of Tactile Sensors for High Resolution Stress Tensor and Deformation for Dexterous Manipulation
Advanced dexterous manipulation involving multiple simultaneous contacts across different surfaces, like pinching coins from ground or manipulating intertwined objects, remains challenging for robotic systems. Such tasks exceed the capabilities of vision and proprioception alone, requiring high-resolution tactile sensing with calibrated physical metrics. Raw optical tactile sensor images, while information-rich, lack interpretability and cross-sensor transferability, limiting their real-world u…

Dirac spectral flow and Floer theory of hyperbolic three-manifolds
Francesco Lin, Michael Lipnowski
https://arxiv.org/abs/2506.07238 https://

Dirac spectral flow and Floer theory of hyperbolic three-manifolds
We study the interplay between hyperbolic geometry and monopole Floer homology for a closed oriented three-manifold $Y$ with $b_1=1$ equipped with a torsion spin$^c$ structure $\mathfrak{s}$. We show that, under favorable circumstances, one can completely describe the Floer theory of $(Y,\mathfrak{s})$ purely in terms of geometric data such as the lengths and holonomies of closed geodesics. In particular, we perform the first computations of monopole Floer chain complexes with non-trivial homol…

On gluing and splitting series invariants of plumbed 3-manifolds
Allison H. Moore, Nicola Tarasca
https://arxiv.org/abs/2506.06515 https://

On gluing and splitting series invariants of plumbed 3-manifolds
We study series invariants for plumbed 3-manifolds and knot complements twisted by a root lattice. Our series recover recent results of Gukov-Pei-Putrov-Vafa, Gukov-Manolescu, Park, and Ri and apply more generally to 3-manifolds which are not necessarily negative definite. We show that our series verify certain gluing and splitting properties related to the corresponding operations on 3-manifolds. We conclude with an explicit description of the case of lens spaces and Brieskorn spheres.