Tootfinder

Friends, when I do things on the croft which I think are interesting, I usually post photos here.
Today, we have slaughtered, gralloched and quartered a bull. There are many photographs. There is a bit of blood, but actually not that much.
Would people be interested in photos, if I put content warnings on them?
@… , am I OK posting pictures of thi…

Compact Biconservative Hypersurfaces in Space Forms: Rigidity Without Scalar Curvature Assumptions
Aykut Kayhan
https://arxiv.org/abs/2506.05875 https://…

Compact Biconservative Hypersurfaces in Space Forms: Rigidity Without Scalar Curvature Assumptions
In this study, we investigate the intrinsic properties of compact biconservative hypersurfaces in space forms. In this framework, we establish rigidity results without imposing the assumption of constant scalar curvature. Furthermore, we present an additional result that does not require any assumptions on the sectional curvature. The key tool in our approach is the introduction of a novel divergence-free tensor, which enables us to derive these results without the usual curvature assumptions.

This story of an ex-Googler is well worth reading. After some personal observations, @… asks interesting questions:
What is crypto mining if not a textbook Captain Planet villain scheme—to kill and raze and destroy for nothing but imaginary tokens proving that you did lots of killing and razing and …

Variational Nonlinear and Nonlocal Curvature Flows
Daniele De Gennaro
https://arxiv.org/abs/2506.05951 https://arxiv.org/pdf/2506.059…

Variational Nonlinear and Nonlocal Curvature Flows
We prove that the minimizing movements scheme á la Almgren-Taylor-Wang converges towards level-set solutions to a nonlinear version of nonlocal curvature flows with time-depending forcing term, in the rather general framework of variational curvatures introduced in \cite{ChaMorPon15}. The nonlinearity involved is assumed to satisfy minimal assumptions, namely continuity, monotonicity, and vanishing at zero. Under additional assumptions only on the curvatures involved, we establish uniqueness f…

whenever i hear people talk about ETSI i have to think - thanks to @… and john young - of this US Air Force intelligence lieutenant, who was heading the ETSI "lawful" interception working group in the late 2000s. the E in ETSI stands for European.

The Hashed Fractal Key Recovery (HFKR) Problem: From Symbolic Path Inversion to Post-Quantum Cryptographic Keys
Mohamed Aly Bouke
https://arxiv.org/abs/2506.04383

The Hashed Fractal Key Recovery (HFKR) Problem: From Symbolic Path Inversion to Post-Quantum Cryptographic Keys
Classical cryptographic systems rely heavily on structured algebraic problems, such as factorization, discrete logarithms, or lattice-based assumptions, which are increasingly vulnerable to quantum attacks and structural cryptanalysis. In response, this work introduces the Hashed Fractal Key Recovery (HFKR) problem, a non-algebraic cryptographic construction grounded in symbolic dynamics and chaotic perturbations. HFKR builds on the Symbolic Path Inversion Problem (SPIP), leveraging symbolic tr…

Results from the T2K experiment on neutrino mixing including a new far detector $\mu$-like sample
Collaboration, Abe, Abe, Akutsu, Alarakia-Charles, Hakim, Monsalve, Anthony, Aoki, Apte, Arai, Arihara, Arimoto, Ashida, Atkin, Babu, Baranov, Barker, Barr, Barrow, Bates, Bathe-Peters, Batkiewicz-Kwasniak, Baudis, Berardi, Berns, Bhattacharjee, Blanchet, Blondel, Boistier, Bolognesi, Bordoni, Boyd, Bronner, Bubak, Avanzini, Caballero, Cadoux, Calabria, Cao, Cap, Carabadjac, Cartwright, Ca…

Results from the T2K experiment on neutrino mixing including a new far detector $μ$-like sample
T2K has made improved measurements of three-flavor neutrino mixing with 19.7(16.3)$\times 10^{20}$ protons on target in (anti-)neutrino-enhanced beam modes. A new sample of muon-neutrino events with tagged pions has been added at the far detector, increasing the neutrino-enhanced muon-neutrino sample size by 42.5%. In addition, new samples have been added at the near detector, and significant improvements have been made to the flux and neutrino interaction modeling. T2K data continues to prefer…

The US DOJ seized ~145 domains and crypto linked to BidenCash, a dark web market that made $17M in revenue since 2022 by selling stolen credit cards and more (Ionut Ilascu/BleepingComputer)
https://www.bleepingcomputer.com/news/secu

Hybrid Stabilization Protocol for Cross-Chain Digital Assets Using Adaptor Signatures and AI-Driven Arbitrage
Shengwei You, Andrey Kuehlkamp, Jarek Nabrzyski
https://arxiv.org/abs/2506.05708

Hybrid Stabilization Protocol for Cross-Chain Digital Assets Using Adaptor Signatures and AI-Driven Arbitrage
Stablecoins face an unresolved trilemma of balancing decentralization, stability, and regulatory compliance. We present a hybrid stabilization protocol that combines crypto-collateralized reserves, algorithmic futures contracts, and cross-chain liquidity pools to achieve robust price adherence while preserving user privacy. At its core, the protocol introduces stabilization futures contracts (SFCs), non-collateralized derivatives that programmatically incentivize third-party arbitrageurs to cou…

Are Crypto Ecosystems (De)centralizing? A Framework for Longitudinal Analysis
Harang Ju, Ehsan Valavi, Madhav Kumar, Sinan Aral
https://arxiv.org/abs/2506.02324

Are Crypto Ecosystems (De)centralizing? A Framework for Longitudinal Analysis
Blockchain technology relies on decentralization to resist faults and attacks while operating without trusted intermediaries. Although industry experts have touted decentralization as central to their promise and disruptive potential, it is still unclear whether the crypto ecosystems built around blockchains are becoming more or less decentralized over time. As crypto plays an increasing role in facilitating economic transactions and peer-to-peer interactions, measuring their decentralization b…