Untangling Integrability: A Kagome Lattice Approach
New research explores the mathematical underpinnings of a solvable model on a Kagome lattice, revealing connections to quantum field theory and statistical mechanics.
New research explores the mathematical underpinnings of a solvable model on a Kagome lattice, revealing connections to quantum field theory and statistical mechanics.

New research reveals how carefully crafted, repetitive requests can cripple large language models by exploiting imbalances in their internal routing mechanisms.
New algorithms significantly improve the efficiency of decoding complex error-correcting codes used in data storage and transmission.
Researchers have developed a novel method for constructing hierarchical quasi-cyclic codes, leveraging the strengths of Reed-Solomon and polynomial evaluation techniques.
![A hybrid system architecture manages the complexities of clinical code assignment by employing a tiered approach-semantic reasoning with a language model [latex]BioMistral-7B[/latex] initially attempts structured output, gracefully degrading to deterministic keyword matching when parsing fails, and finally subjecting all candidate codes to rigorous validation against a knowledge base of 257 ICD-10 codes and contextual evidence, ensuring a continuous pipeline that both generates and verifies outputs while meticulously logging reasons for rejections.](https://arxiv.org/html/2512.23743v1/x1.png)
A new multi-agent system, Hybrid-Code, combines the strengths of AI with robust data validation to deliver reliable and privacy-preserving diagnostic coding.
![The CT25 NNLO fit demonstrates that uncertainties in [latex]\alpha_{s}(M_{Z})[/latex] are modulated by the credibility level applied to both global and dynamical tolerance criteria, with the dynamic tolerance error band computed across a dataset of 49 published results establishing a quantifiable range for this sensitivity.](https://arxiv.org/html/2512.23792v1/x8.png)
A comprehensive global analysis of particle physics data yields a precise determination of αs, a fundamental parameter governing the strong nuclear force.

This review explores the growing threat of power side-channel attacks and the techniques used to exploit vulnerabilities in electronic devices.
As large language models become increasingly integrated into critical applications, a more nuanced understanding of their reliability-beyond simple accuracy-is essential.
![On-center adsorption of iron correlates with localized electronic states and charge density modulations, as evidenced by spectroscopic measurements and theoretical calculations revealing spin-resolved density of states localized at the iron atom and neighboring tantalum sites, alongside charge density differences indicative of both [latex] d_{z^2} [/latex]-like character and charge density wave modulations on the surface.](https://arxiv.org/html/2512.24668v1/x2.png)
New research reveals that interactions between magnetic atoms and a layered material are driven by direct chemical bonding, not complex quantum effects.
New research demonstrates how order emerges from seemingly random particle interactions in a fundamental equation governing gas behavior.