Tootfinder

Solution to a problem on isolation of $3$-vertex paths
Karl Bartolo, Peter Borg, Dayle Scicluna
https://arxiv.org/abs/2506.19149 https://

Solution to a problem on isolation of $3$-vertex paths
The $3$-path isolation number of a connected $n$-vertex graph $G$, denoted by $ι(G,P_3)$, is the size of a smallest subset $D$ of the vertex set of $G$ such that the closed neighbourhood $N[D]$ of $D$ in $G$ intersects each $3$-vertex path of $G$, meaning that no two edges of $G-N[D]$ intersect. Zhang and Wu proved that $ι(G,P_3) \leq 2n/7$ unless $G$ is a $3$-path or a $3$-cycle or a $6$-cycle. The bound is attained by infinitely many graphs having induced $6$-cycles. Huang, Zhang and Jin pr…

On the codimension 1 PGL(3) orbit closures in $\text{Gr}(3,6)$
Tanav Choudhary
https://arxiv.org/abs/2507.18608 https://arxiv.org/pdf/2507.18608

On the codimension 1 PGL(3) orbit closures in $\text{Gr}(3,6)$
The projective linear group $\text{PGL}(3)$ naturally acts on the Grassmannian $\text{Gr}(3, V_2)$ of $3$-dimensional subspaces of the vector space $V_2$ of homogeneous conics in 3 variables. It was proved by Abdallah, Emsalem and Iarrobino in 2021 that this action has a one-parameter family of orbits along with 14 special orbits. The codimension 1 orbits of this action consist of the entire one-parameter family of orbits, along with 2 of the 14 special orbits. In this paper, we calculate the c…

I made it to 2370! #startrek
https://startrekviewingguide.com/24th-century-part-3.html#pre-2370

Supersymmetry and integrability of the elliptic $\mathrm{AdS}_3 \times \mathrm{S}^3 \times \mathrm{T}^4$ superstring
Ben Hoare, Fiona K. Seibold
https://arxiv.org/abs/2507.18548

Supersymmetry and integrability of the elliptic $\mathrm{AdS}_3 \times \mathrm{S}^3 \times \mathrm{T}^4$ superstring
We construct a 1-parameter family of Ramond-Ramond fluxes supporting the elliptic $\mathrm{AdS}_3 \times \mathrm{S}^3 \times \mathrm{T}^4$ metric with constant dilaton and preserving 8 of the 16 supercharges of the undeformed background. On the supersymmetric locus, we compute the tree-level worldsheet S-matrix in uniform light-cone gauge up to quadratic order in fermions and find that it non-trivially satisfies the classical Yang-Baxter equation. Moreover, imposing classical integrability and …

Dual Thurston norm of Euler classes of foliations on negative curvature 3-Manifolds
Dmitry V. Bolotov
https://arxiv.org/abs/2506.19098 https://

Dual Thurston norm of Euler classes of foliations on negative curvature 3-Manifolds
In this paper we give an upper bound estimate on the dual Thurston norm of the Euler class of an arbitrary smooth foliation $\mathcal{F}$ of dimension one defined on a closed three-dimensional orientable manifold $M^3$ of negative curvature, which depends on the constants bounded the injectivity radius $inj(M^3)$, the volume $Vol(M^3)$, sectional curvature of the manifold $M^3$ and the mean curvature modulus of the leaves of the foliation $\mathcal{F}$.

Certain Genus 3 Siegel Cusp Forms with Level are Determined by their Fundamental Fourier Coefficients
Sidney Washburn
https://arxiv.org/abs/2507.17002 http…

Certain Genus 3 Siegel Cusp Forms with Level are Determined by their Fundamental Fourier Coefficients
We prove that vector-valued genus 3 Siegel cusp forms for $Γ_0^3(N)$ with certain nebentypus are determined by their fundamental Fourier coefficients, assuming $N$ is odd and square-free. A key step in our proof involves strengthening the known corresponding genus 2 result. More precisely, we show that genus 2 Siegel cusp forms for $Γ_0^2(N)$ with certain nebentypus are determined by their fundamental Fourier coefficients whose discriminants are coprime to $N$. We also prove that Jacobi forms…

Replaced article(s) found for cs.CL. https://arxiv.org/list/cs.CL/new
[3/3]:
- Deep Video Discovery: Agentic Search with Tool Use for Long-form Video Understanding
Xiaoyi Zhang, Zhaoyang Jia, Zongyu Guo, Jiahao Li, Bin Li, Houqiang Li, Yan Lu

A Closed-Form Symbolic Generator: $A^n B^n = C^n D^n$, for $n = 2,3$
Jamal Agbanwa
https://arxiv.org/abs/2506.19173 https://arxiv…

A Closed-Form Symbolic Generator: $A^n + B^n = C^n + D^n$, for $n = 2,3$
We present a unified framework for constructing integer solutions to $A^{n} + B^{n} = C^{n} + D^{n}$ for $n=2,3$. For $n=2$, we derive explicit formulas for any solutions via differences of squares. For $n=3$, we introduce general formulas that include the Hardy-Ramanujan number 1729 for instance, we also construct a symbolic generator that produces infinitely many integer solutions to the Diophantine equation A^3 + B^3 = C^3 + D^3 . While the resulting formulas for $A,B,C,D$ from the symbolic …

Study the decays of $\chi _{cJ}(J=0,1,2)$ to light meson pairs with SU(3) flavor symmetry/breaking analysis
Bo Lan, Qin-Ze Song, Jin-Huan Sheng, Yi Qiao, Ru-Min Wang
https://arxiv.org/abs/2508.16372

Study the decays of $χ_{cJ}(J=0,1,2)$ to light meson pairs with SU(3) flavor symmetry/breaking analysis
Based on available experimental results on $χ_{cJ}(J=0,1,2)$ decays, we investigate the $χ_{cJ}\to PP$, $VV$, $PV$, and $PT$ decays by using SU(3) flavor symmetry/breaking approach, where $P$, $V$, and $T$ denote light pseudoscalar, vector, and tensor mesons, respectively. With the decay amplitude relations determined by SU(3) flavor symmetry/breaking, we present the branching ratios for all $χ_{cJ}\to PP$ and $χ_{cJ}\to VV$ modes, including ones without experimental data. While theoretical…

Frequency Range 3 for ISAC in 6G: Potentials and Challenges
Gayan Aruma Baduge, Mojtaba Vaezi, Janith K. Dassanayake, Muhammad Z. Hameed, Esa Ollila, Sergiy A Vorobyov
https://arxiv.org/abs/2506.18243

Frequency Range 3 for ISAC in 6G: Potentials and Challenges
Spanning 7-24 GHz, frequency range 3 (FR3), is a key enabler for next-generation wireless networks by bridging the coverage of sub-6 GHz and the capacity of millimeter-wave bands. Its unique propagation characteristics, such as extended near-field regions and spatially nonstationary fading, enable new transmission strategies. This article explores the potential of FR3 for integrated sensing and communication (ISAC), which unifies wireless communication and environmental sensing. We show that FR…

ALMA survey of a massive node of the Cosmic Web at $z\sim 3$. II. A dynamically cold and massive disk galaxy in the proximity of a hyperluminous quasar
A. Pensabene, S. Cantalupo, W. Wang, C. Bacchini, F. Fraternali, M. Bischetti, C. Cicone, R. Decarli, G. Pezzulli, M. Galbiati, T. Lazeyras, N. Ledos, G. Quadri, A. Travascio
https://

ALMA survey of a massive node of the Cosmic Web at $z\sim 3$. II. A dynamically cold and massive disk galaxy in the proximity of a hyperluminous quasar
Advancing our understanding of the formation and evolution of early massive galaxies and black holes requires detailed studies of dense structures in the high-redshift Universe. In this work, we present high-angular resolution ($\simeq0.3''$) ALMA observations targeting the CO(4--3) line and the underlying 3-mm dust continuum toward the Cosmic Web node MQN01, a region identified through deep multiwavelength surveys as one of the densest concentrations of galaxies and AGN at cosmic noon. At the …

Replaced article(s) found for quant-ph. https://arxiv.org/list/quant-ph/new
[3/3]:
- The logical structure of contextuality and nonclassicality
Songyi Liu, Yongjun Wang, Baoshan Wang, Chang He, Jincheng Wang

Yotta: A Large-Scale Trustless Data Trading Scheme for Blockchain System
Xiang Liu, Zhanpeng Guo, Liangxi Liu, Mengyao Zheng, Yiming Qiu, Linshan Jiang
https://arxiv.org/abs/2506.19368

Yotta: A Large-Scale Trustless Data Trading Scheme for Blockchain System
Data trading is one of the key focuses of Web 3.0. However, all the current methods that rely on blockchain-based smart contracts for data exchange cannot support large-scale data trading while ensuring data security, which falls short of fulfilling the spirit of Web 3.0. Even worse, there is currently a lack of discussion on the essential properties that large-scale data trading should satisfy. In this work, we are the first to formalize the property requirements for enabling data trading in W…

Lectures on SL(3) foams and link homology
Mikhail Khovanov, Dmitry Solovyev
https://arxiv.org/abs/2507.17119 https://arxiv.org/pdf/2507.17119

Lectures on SL(3) foams and link homology
These notes are based on the three lectures that one of the authors gave at Tsinghua University in the summer of 2023 as part of the workshop on Geometric Representation Theory and Applications. They contain an introduction to the evaluation of $\mathsf{SL}(3)$ foams and the associated topological theory of trivalent planar graphs and foam cobordisms between them. A categorification of the Kuperberg quantum $\mathfrak{sl}_3$ web and link invariant and the Robert-Wagner $\mathsf{SL}(N)$ foam eva…

Strong Sparsification for 1-in-3-SAT via Polynomial Freiman-Ruzsa
Benjamin Bedert, Tamio-Vesa Nakajima, Karolina Okrasa, Stanislav \v{Z}ivn\'y
https://arxiv.org/abs/2507.17878

Strong Sparsification for 1-in-3-SAT via Polynomial Freiman-Ruzsa
We introduce a new notion of sparsification, called \emph{strong sparsification}, in which constraints are not removed but variables can be merged. As our main result, we present a strong sparsification algorithm for 1-in-3-SAT. The correctness of the algorithm relies on establishing a sub-quadratic bound on the size of certain sets of vectors in $\mathbb{F}_2^d$. This result, obtained using the recent \emph{Polynomial Freiman-Ruzsa Theorem} (Gowers, Green, Manners and Tao, Ann. Math. 2025), co…

Replaced article(s) found for cs.LG. https://arxiv.org/list/cs.LG/new
[3/4]:
- Flexible Coded Distributed Convolution Computing for Enhanced Straggler Resilience and Numerical ...
Shuo Tan, Rui Liu, Xuesong Han, XianLei Long, Kai Wan, Linqi Song, Yong Li

Replaced article(s) found for cs.CV. https://arxiv.org/list/cs.CV/new
[3/4]:
- Improving the Reasoning of Multi-Image Grounding in MLLMs via Reinforcement Learning
Bob Zhang, Haoran Li, Tao Zhang, Cilin Yan, Jiayin Cai, Yanbin Hao

jina-embeddings-v4: Universal Embeddings for Multimodal Multilingual Retrieval
Michael G\"unther, Saba Sturua, Mohammad Kalim Akram, Isabelle Mohr, Andrei Ungureanu, Sedigheh Eslami, Scott Martens, Bo Wang, Nan Wang, Han Xiao
https://arxiv.org/abs/2506.18902

jina-embeddings-v4: Universal Embeddings for Multimodal Multilingual Retrieval
We introduce jina-embeddings-v4, a 3.8 billion parameter multimodal embedding model that unifies text and image representations through a novel architecture supporting both single-vector and multi-vector embeddings in the late interaction style. The model incorporates task-specific Low-Rank Adaptation (LoRA) adapters to optimize performance across diverse retrieval scenarios, including query-based information retrieval, cross-modal semantic similarity, and programming code search. Comprehensive…

[2025-06-25 Wed (UTC), 3 new articles found for cs.LO Logic in Computer Science]
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Birthplaces of X-ray emission lines in Cygnus X-3
Osmi Vilhu, Karri I. I. Koljonen
https://arxiv.org/abs/2506.19380 https://arxiv.org…

Birthplaces of X-ray emission lines in Cygnus X-3
We investigate the formation of X-ray emission lines in the wind of the Wolf-Rayet (WR) companion in Cyg X-3 by analyzing their orbital dynamics using Chandra High Energy Transmission Grating (HEG) observations during a hypersoft state. Our goal is to constrain the X-ray transparency of the recently discovered funnel-like structure surrounding the compact star, as revealed by X-ray polarimetry. All lines exhibit sinusoidal orbital modulation, with the velocity amplitude generally increasing and…

Flexoelectric Polarization Enhancement in Paraelectric $\mathrm{BaHfO_3}$ via Strain Gradient Engineering
Timo Piecuch, Jeffrey A. Brock, Xiaochun Huang, Arnold M. M\"uller, Christof Vockenhuber, Christof W. Schneider, Thomas Lippert, Nick A. Shepelin
https://arxiv.org/abs/2506.19690

Flexoelectric Polarization Enhancement in Paraelectric $\mathrm{BaHfO_3}$ via Strain Gradient Engineering
Flexoelectricity - polarization induced by strain gradients - offers a route to polar functionality in centrosymmetric dielectrics, where traditional piezoelectric effects are absent. This study investigates the flexoelectric effect in epitaxial $\mathrm{BaHfO_3}$ (BHO) thin films, a centrosymmetric and paraelectric perovskite. While a large lattice mismatch induces defect-driven relaxation, a coherently grown BHO film undergoes elastic relaxation, forming intrinsic strain gradients exceeding $…

Transport properties of the pseudospin-3/2 Dirac-Weyl fermions in the double-barrier-modulated two-dimensional system
Rui Zhu
https://arxiv.org/abs/2506.18253

Transport properties of the pseudospin-3/2 Dirac-Weyl fermions in the double-barrier-modulated two-dimensional system
In this work, we analytically solved the pseudospin-3/2 Dirac equation and investigated the electronic transport properties in the double-barrier modulated two-dimensional system. The probability current density operator is explicitly derived from the time-dependent pseudospin-3/2 Dirac equation, which paves way for investigation of the electronic transport properties of general pseudospin-$s$ Dirac-Weyl systems with $s$ an integer or half integer larger than 1. As a result of the double-cone b…

ISAC Network Planning: Sensing Coverage Analysis and 3-D BS Deployment Optimization
Kaitao Meng, Kawon Han, Christos Masouros, Lajos Hanzo
https://arxiv.org/abs/2506.18009

ISAC Network Planning: Sensing Coverage Analysis and 3-D BS Deployment Optimization
Integrated sensing and communication (ISAC) networks strive to deliver both high-precision target localization and high-throughput data services across the entire coverage area. In this work, we examine the fundamental trade-off between sensing and communication from the perspective of base station (BS) deployment. Furthermore, we conceive a design that simultaneously maximizes the target localization coverage, while guaranteeing the desired communication performance. In contrast to existing sc…

Predictive Analytics for Collaborators Answers, Code Quality, and Dropout on Stack Overflow
Elijah Zolduoarrati, Sherlock A. Licorish, Nigel Stanger
https://arxiv.org/abs/2506.18329

Predictive Analytics for Collaborators Answers, Code Quality, and Dropout on Stack Overflow
Previous studies that used data from Stack Overflow to develop predictive models often employed limited benchmarks of 3-5 models or adopted arbitrary selection methods. Despite being insightful, their limited scope suggests the need to benchmark more models to avoid overlooking untested algorithms. Our study evaluates 21 algorithms across three tasks: predicting the number of question a user is likely to answer, their code quality violations, and their dropout status. We employed normalisation,…

Spectral trends across the rings and inner moons of Uranus and Neptune from JWST NIRCam images
M. M. Hedman, I. de Pater, R. Cartwright, M. El Moutamid, R. DeColibus, M. Showlater, M. S. Tiscareno, N. Rowe-Gurney, M. T. Roman, L. Fletcher, H. B. Hammel
https://arxiv.org/abs/2506.18650

Spectral trends across the rings and inner moons of Uranus and Neptune from JWST NIRCam images
JWST NIRCam images provide low-resolution spectra of the rings and inner moons orbiting Uranus and Neptune. These data reveal systematic variations in spectral parameters like the strength of the strong OH absorption band around 3 microns and the spectral slopes at continuum wavelengths. Neptune's rings show an extremely weak 3-micron band, which is likely due to the small particle sizes in these dusty rings. Neptune's small inner moons also have weaker 3-micron bands and redder continua than U…

On the Penumbra-to-Umbra Ratio from 1660 to 1676
Nadezhda Zolotova, Mikhail Vokhmyanin
https://arxiv.org/abs/2506.18361 https://arxiv…

On the Penumbra-to-Umbra Ratio from 1660 to 1676
Sunspot engravings made in the Maunder minimum are used to evaluate the fine structure of sunspots. Based on 78 images of the full solar disk and 77 images of individual sunspots, we have evaluated the ratio of penumbral-to-umbral area (P/U) to be 4.2 $\pm$ 2.5 and 3.8 $\pm$ 2.3, respectively. These results are consistent with previous estimates before, during, and after the Maunder minimum, as well as with the P/U ratio observed in the largest sunspot groups in solar cycle 24. This suggests th…

On Growth of Sobolev norms for cubic Schr\"odinger equation with harmonic potential in dimensions $d=2,3$
Yilin Song, Ruixiao Zhang, Jiqiang Zheng
https://arxiv.org/abs/2506.17731

On Growth of Sobolev norms for cubic Schrödinger equation with harmonic potential in dimensions $d=2,3$
In this article, we study the growth of higher-order Sobolev norms for solutions to the defocusing cubic nonlinear Schrödinger equation with harmonic potential in dimensions $d=2,3$, \begin{align}\label{PNLS} \begin{cases}\tag{PNLS} i\partial_tu-Hu=|u|^{2}u,&(t,x)\in\mathbb{R}\times\mathbb{R}^d,\\ u(0,x)=u_0(x), \end{cases} \end{align} where $H=-Δ+|x|^2$. Motivated by Planchon-Tzvetkov-Visciglia [Rev. Mat. Iberoam., 39 (2023), 1405-1436], we first establish the bilinear St…

The dynamical Alekseevskii conjecture in dimension five
Maher Billon
https://arxiv.org/abs/2507.17781 https://arxiv.org/pdf/2507.17781

The dynamical Alekseevskii conjecture in dimension five
We prove the dynamical Alekseevski conjecture in dimension five. We also provide a detailed analysis of the homogeneous Ricci flows on $SO(3)\ltimes \mathbb{R}^3/SO(2)$ and $SL(2,\mathbb{C})/U(1)$.

[2025-07-25 Fri (UTC), 3 new articles found for math.LO Logic]
toXiv_bot_toot

Examination of Eye-Tracking, Head-Gaze, and Controller-Based Ray-casting in TMT-VR: Performance and Usability Across Adulthood
Panagiotis Kourtesis, Evgenia Giatzoglou, Panagiotis Vorias, Katerina Alkisti Gounari, Eleni Orfanidou, Chrysanthi Nega
https://arxiv.org/abs/2506.19519

Examination of Eye-Tracking, Head-Gaze, and Controller-Based Ray-casting in TMT-VR: Performance and Usability Across Adulthood
Virtual reality (VR) can enrich neuropsychological testing, yet the ergonomic trade-offs of its input modes remain under-examined. Seventy-seven healthy volunteers-young (19-29 y) and middle-aged (27-56 y)-completed a VR Trail-Making Test with three pointing methods: eye-tracking, head-gaze, and a six-degree-of-freedom hand controller. Completion time, spatial accuracy, and error counts for the simple (Trail A) and alternating (Trail B) sequences were analysed in 3 x 2 x 2 mixed-model ANOVAs; p…

Replaced article(s) found for gr-qc. https://arxiv.org/list/gr-qc/new
[3/3]:
- Self-gravitating strings and quantum effects in two-dimensional gravity
Akihiro Ishibashi, Yoshinori Matsuo, Akane Tanaka

[2025-07-25 Fri (UTC), 3 new articles found for physics.atom-ph Atomic Physics]
toXiv_bot_toot

Probing d-wave superconducting gap of high-$T_\mathrm{c}$ cuprate $\mathrm{Bi}_2\mathrm{Sr}_2\mathrm{Ca}_2\mathrm{Cu}_3\mathrm{O}_{10 \delta}$ by resonant inelastic X-ray scattering
Kunhao Li, Qizhi Li, Changwei Zou, Jaewon Choi, Chaohui Yin, Mirian Garcia-Fernandez, Stefano Agrestini, Shilong Zhang, Chengtian Lin, Xingjiang Zhou, Ke-Jin Zhou, Yi Lu, Yingying Peng

Probing d-wave superconducting gap of high-$T_\mathrm{c}$ cuprate $\mathrm{Bi}_2\mathrm{Sr}_2\mathrm{Ca}_2\mathrm{Cu}_3\mathrm{O}_{10+δ}$ by resonant inelastic X-ray scattering
The superconducting gap is a characteristic feature of high-T$_c$ superconductors and provides crucial information on the pairing mechanism underlying high-temperature superconductivity. Here, we employ high-resolution resonant inelastic X-ray scattering (RIXS) at the Cu $L_3$-edge to investigate the superconducting gap in the overdoped cuprate $\mathrm{Bi}_2\mathrm{Sr}_2\mathrm{Ca}_2\mathrm{Cu}_3\mathrm{O}_{10+δ}$ ($T_\mathrm{c}$ = 107 K). By analyzing antisymmetrized, temperature-dependent R…

Open strings in type IIB AdS$_3$ flux vacua
\'Alvaro Arboleya, Adolfo Guarino, Matteo Morittu, Giuseppe Sudano
https://arxiv.org/abs/2507.18529 https://

Open strings in type IIB AdS$_3$ flux vacua
The role of open strings is investigated in the context of AdS$_{3}$ flux vacua arising from type IIB orientifold reductions. On the one hand, contrary to expectations, the perturbative stability of certain recently found non-supersymmetric AdS$_{3}$ flux vacua is shown to be robust under fluctuations of the open-string moduli. On the other hand, a wealth of new perturbatively stable AdS$_{3}$ flux vacua appears as a consequence of the non-trivial dynamics of open-string moduli. We also comment…

Monogenic sextic trinomials $x^6 Ax^3 B$ and their Galois groups
Joshua Harrington, Lenny Jones
https://arxiv.org/abs/2507.17021 https://

Monogenic sextic trinomials $x^6+Ax^3+B$ and their Galois groups
Let $f(x)=x^6+Ax^3+B\in {\mathbb Z}[x]$, with $A\ne 0$, and suppose that $f(x)$ is irreducible over ${\mathbb Q}$. We define $f(x)$ to be {\em monogenic} if $\{1,θ,θ^2,θ^3,θ^4,θ^{5}\}$ is a basis for the ring of integers of ${\mathbb Q}(θ)$, where $f(θ)=0$. For each possible Galois group $G$ of $f(x)$ over ${\mathbb Q}$, we use a theorem of Jakhar, Khanduja and Sangwan to give explicit descriptions of all monogenic trinomials $f(x)$ having Galois group $G$. We also investigate when the…

Replaced article(s) found for cs.CL. https://arxiv.org/list/cs.CL/new
[3/3]:
- InternAgent: When Agent Becomes the Scientist -- Building Closed-Loop System from Hypothesis to V...
InternAgent Team, et al.

Longest odd cycles in non-bipartite $C_{2k 1}$-free graphs
Rui Wang, Shipeng Wang
https://arxiv.org/abs/2508.16199 https://arxiv.org/pdf/2508.16199

Longest odd cycles in non-bipartite $C_{2k+1}$-free graphs
In strengthening a result of Andrásfai, Erdős and Sós in 1974, Häggkvist proved that if $G$ is an $n$-vertex $C_{2k+1}$-free graph with minimum degree $δ(G)>\frac{2n}{2k+3}$ and $n>\binom{k+2}{2}(2k+3)(3k+2)$, then $G$ contains no odd cycle of length greater than $\frac{k+1}{2}$. This result has many applications.In this paper, we consider a similar problem by replacing minimum degree condition with edge number condition. We prove that for integers $n,k,r$ with $k\geq 2,3\leq r\leq 2k$ and…

Electromagnetic polarizabilities of the spin-$\frac{3}{2}$ baryons in heavy baryon chiral perturbation theory
Liang-Zhen Wen, Yan-Ke Chen, Lu Meng, Shi-Lin Zhu
https://arxiv.org/abs/2506.18800

Electromagnetic polarizabilities of the spin-$\frac{3}{2}$ baryons in heavy baryon chiral perturbation theory
We employ Heavy Baryon Chiral Perturbation Theory (HB$χ$PT), a non-relativistic effective field theory that treats baryons as heavy static sources, to calculate the electromagnetic polarizabilities of spin-3/2 baryons in two sectors: the light-flavor decuplet baryons and singly heavy sextet baryons. We derive the analytical expressions up to $\mathcal{O}\left(p^3\right)$. Our results indicate that the long-range chiral corrections provide substantial contributions to the polarizabilities. In a…

Replaced article(s) found for quant-ph. https://arxiv.org/list/quant-ph/new
[3/3]:
- Trapped ion quantum hardware demonstration of energy calculations using a multireference unitary ...
Chawla, Shetty, Tsemo, Sugisaki, Riu, Nogue, Mukherjee, Prasannaa

Infinite Ideal Polyhedra in Hyperbolic 3-Space: Existence and Rigidity
Huabin Ge, Hao Yu, Puchun Zhou
https://arxiv.org/abs/2506.19528 https://

Infinite Ideal Polyhedra in Hyperbolic 3-Space: Existence and Rigidity
In the seminal work [27], Rivin obtained a complete characterization of finite ideal polyhedra in hyperbolic 3-space by the exterior dihedral angles. Since then,the characterization of infinite hyperbolic polyhedra has become an extremely challenging open problem. To resolve this problem, we study ideal circle patterns (ICPs) and use them to characterize infinite ideal polyhedra (IIPs). Specifically, we establish the existence and rigidity of embedded ICPs on the plane. We further prove the uni…

Replaced article(s) found for cs.LG. https://arxiv.org/list/cs.LG/new
[3/5]:
- Risks of AI Scientists: Prioritizing Safeguarding Over Autonomy
Tang, Jin, Zhu, Yuan, Zhang, Zhou, Qu, Zhao, Tang, Zhang, Cohan, Lu, Gerstein

Replaced article(s) found for cs.CV. https://arxiv.org/list/cs.CV/new
[3/5]:
- Unsupervised Joint Learning of Optical Flow and Intensity with Event Cameras
Shuang Guo, Friedhelm Hamann, Guillermo Gallego

Replaced article(s) found for cs.AI. https://arxiv.org/list/cs.AI/new
[3/5]:
- AlignDistil: Token-Level Language Model Alignment as Adaptive Policy Distillation
Songming Zhang, Xue Zhang, Tong Zhang, Bojie Hu, Yufeng Chen, Jinan Xu

A Metal-Free Galaxy at $z = 3.19$? Evidence of Late Population III Star Formation at Cosmic Noon
Sijia Cai, Mingyu Li, Zheng Cai, Yunjing Wu, Fujiang Yu, Mark Dickinson, Fengwu Sun, Xiaohui Fan, Ben Wang, Fergus Cullen, Fuyan Bian, Xiaojing Lin, Jiaqi Zou
https://arxiv.org/abs/2507.17820

A Metal-Free Galaxy at $z = 3.19$? Evidence of Late Population III Star Formation at Cosmic Noon
Star formation from metal-free gas, the hallmark of the first generation of Population III stars, was long assumed to occur in the very early Universe. We report the discovery of MPG-CR3 (Metal-Pristine Galaxy COSMOS Redshift 3; hereafter CR3), an extremely metal-poor galaxy at redshift $z= 3.193\pm0.016$. From JWST, VLT, and Subaru observations, CR3 exhibits exceptionally strong Ly$α$, H$α$, and He I $λ$10830 emission. We measure rest-frame equivalent widths of EW$_0$(Ly$α$) $\approx822$ A…

Estimation of the capabilities of the SPHERE-3 Cherenkov telescope for determining the parameters of the primary cosmic particle
E. A. Bonvech, O. V. Cherkesova, D. V. Chernov, E. L. Entina, V. I. Galkin, V. A. Ivanov, T. A. Kolodkin, N. O. Ovcharenko, D. A. Podgrudkov, T. M. Roganova, M. D. Ziva
https://arxiv.org/abs/2507.17899

Estimation of the capabilities of the SPHERE-3 Cherenkov telescope for determining the parameters of the primary cosmic particle
New results of modeling the operation of the new SPHERE-3 Cherenkov telescope are presented. The telescope will be able to detect cosmic particles by direct and reflected Cherenkov light of the extensive air showers (EAS). Dual detection improves the accuracy of determining the parameters of the primary particle. The study is based on the data bank of distributions of the EAS Cherenkov light obtained on the Lomonosov-2 supercomputer. The accuracy of determining the energy and type of the primar…

On Fermat's Last Theorem over the $\mathbb{Z}_3$-extension of $\mathbb{Q}$ and other fields
Luis Dieulefait, Franco Golfieri Madriaga
https://arxiv.org/abs/2507.16883

On Fermat's Last Theorem over the $\mathbb{Z}_3$-extension of $\mathbb{Q}$ and other fields
The main result of the present article is a proof of Fermat's Last Theorem for sufficiently large prime exponents $p$ with $p \equiv 2 \pmod{3}$ over certain number fields. A particular case of these fields are the maximal real subfields of the cyclotomic extensions $\mathbb{Q}(ζ_{3^n})$ for every $n$. Our strategy consists in combining the modular method with a generalization of an arithmetic result of Pomey to these fields.

The Debugging Decay Index: Rethinking Debugging Strategies for Code LLMs
Muntasir Adnan, Carlos C. N. Kuhn
https://arxiv.org/abs/2506.18403 https://…

The Debugging Decay Index: Rethinking Debugging Strategies for Code LLMs
The effectiveness of AI debugging follows a predictable exponential decay pattern; most models lose 60-80% of their debugging capability within just 2-3 attempts, despite iterative debugging being a critical capability for practical code generation systems. We introduce the Debugging Decay Index (DDI), a mathematical framework that quantifies when debugging becomes ineffective and predicts intervention points. Our strategic fresh start approach shifts from exploitation to exploration at strateg…

WebGuard :Interpretable Malicious URL Detection via Bidirectional Fusion of HTML Subgraphs and Multi-Scale Convolutional BERT
Ye Tian, Zhang Yumin, Yifan Jia, Jianguo Sun, Yanbin Wang
https://arxiv.org/abs/2506.19356

WebGuard++:Interpretable Malicious URL Detection via Bidirectional Fusion of HTML Subgraphs and Multi-Scale Convolutional BERT
URL+HTML feature fusion shows promise for robust malicious URL detection, since attacker artifacts persist in DOM structures. However, prior work suffers from four critical shortcomings: (1) incomplete URL modeling, failing to jointly capture lexical patterns and semantic context; (2) HTML graph sparsity, where threat-indicative nodes (e.g., obfuscated scripts) are isolated amid benign content, causing signal dilution during graph aggregation; (3) unidirectional analysis, ignoring URL-HTML feat…

The ranks of twists of an elliptic curve in characteristic $3$
Jo\~ao Paulo Guardieiro
https://arxiv.org/abs/2507.16785 https://arxiv…

The ranks of twists of an elliptic curve in characteristic $3$
Starting from the elliptic curve $E: y^2 = x^3 - x$ over $\mathbb{F}_9$, a curve $\mathcal{X}$ over $\mathbb{F}_{3^{2n}}$ and a cyclic cover of $\mathcal{X}$ of degree $m \in \{2,3,4,6\}$, we construct the corresponding $m$-twists over the function field $\mathbb{F}_{3^{2n}}(\mathcal{X})$. We also obtain the Mordell-Weil rank of these twists in terms of the Zeta functions of $\mathcal{X}$ and of suitable Kummer and Artin-Schreier extensions of it. Finally, we also describe the fibers of the ell…

Detailed Chemical Abundance Analysis of Metal-Poor Turn-Off Stars: One with [Fe/H] < -4 and Three with [Fe/H] < -4
Takuma Suda, Patrick Francois, Shinya Wanajo, Elisabetta Caffau, Wako Aoki, Piercarlo Bonifacio
https://arxiv.org/abs/2506.18286

Detailed Chemical Abundance Analysis of Metal-Poor Turn-Off Stars: One with [Fe/H] < -4 and Three with [Fe/H] < -4
We present the analysis of four new extremely metal poor turn-off stars thanks to high-resolution spectra obtained with the Subaru/HDS spectrograph. We determined the abundances and upper limits of Li, C, Mg, Ca, Sr, and Ba. Metallicities range from [Fe/H] = -3.3 to -4.4 dex. For one of the stars, we measure the lithium abundance Log(Li/H) = 2.1 {\pm} 0.2. Two stars of the sample have low [α/Fe] abundances. The most metal-poor star of the sample with [Fe/H] = -4.42 dex has a high [Sr/Fe] abund…

Quaternionic Analysis of Conformal Maps and the Willmore Functional
Ross Ogilvie, Martin Ulrich Schmidt
https://arxiv.org/abs/2506.17723 https://

Quaternionic Analysis of Conformal Maps and the Willmore Functional
Quaternionic analysis, which describes conformal maps from Riemann surfaces into $\mathbb{R}^3$ or $\mathbb{R}^4$, is extended to weakly conformal maps. As a consequence we present a new proof that on any compact Riemann surface $X$ the Willmore functional, the integral of the square of the mean curvature, attains a minimum on the space of smooth conformal maps from $X$ to $\mathbb{R}^3$ or $\mathbb{R}^4$. This was first proven by Kuwert and Schätzle under the assumption that the infimum of th…

Modular Properties of $\mathcal{W}_3$ Generalised Gibbs Ensembles
Max Downing, Faisal Karimi, Tanmoy Sengupta, Adarsh Sudhakar, G\'erard M T Watts
https://arxiv.org/abs/2508.16258

Modular Properties of $\mathcal{W}_3$ Generalised Gibbs Ensembles
In this paper we make a proposal for the solution to a long-standing problem - the asymptotic expansions of the modular $S$-transform of a generalised Gibbs ensemble (GGE) in a theory with $\mathcal{W}_3$ symmetry where the GGE includes the first non-trivial charge. Equivalently, we give a proposal for the modular $S$-transform of traces of arbitrary powers of the zero mode $W_0$. We provide evidence in the form of exact results using Zhu's recursion, results obtained using conjectured results …

Replaced article(s) found for quant-ph. https://arxiv.org/list/quant-ph/new
[2/3]:
- Page Curve and Entanglement Dynamics in an Interacting Fermionic Chain
Rishabh Jha, Salvatore R. Manmana, Stefan Kehrein

On line-parallelisms of PG(3, q)
Francesco Pavese, Paolo Santonastaso
https://arxiv.org/abs/2506.16271 https://arxiv.org/pdf/2506.162…

On line-parallelisms of PG(3, q)
Let $\mathrm{PG}(3, q)$ denote the three-dimensional projective space over the finite field with $q$ elements. A line-spread of $\mathrm{PG}(3, q)$ is a collection $\mathcal{S}$ of mutually skew lines such that every point of $\mathrm{PG}(3, q)$ lies on exactly one line of $\mathcal{S}$. A parallelism of $\mathrm{PG}(3, q)$ is a set $Π$ of mutually skew line-spreads of $\mathrm{PG}(3, q)$ such that every line of $\mathrm{PG}(3, q)$ is contained in precisely one line-spread of $Π$. For a Desar…

Replaced article(s) found for cs.LG. https://arxiv.org/list/cs.LG/new
[3/9]:
- Each Rank Could be an Expert: Single-Ranked Mixture of Experts LoRA for Multi-Task Learning
Zhao, Zhou, Zhang, Zhu, Shen, Li, Yang, Wang, Su, Kuang, Wei, Wu, Cheng

Charmed baryon decays: $SU(3)_F$ breaking and CP violation
Chang Yang, Xiao-Gang He, Chia-Wei Liu
https://arxiv.org/abs/2506.19005 https://

Charmed baryon decays: $SU(3)_F$ breaking and CP violation
We present a comprehensive study of anti-triplet charmed baryon decays into octet baryons and pseudoscalar mesons using the $SU(3)_F$ flavor symmetry framework. By decomposing the flavor structure, all decay amplitudes are parametrized with a minimal set of irreducible amplitudes, and the Körner-Pati-Woo theorem further reduces the number of independent parameters from the original 35 to 19 under exact symmetry when small terms proportional to $λ_b = V_{cb}^*V_{ub}$ are neglected. The indepen…

Replaced article(s) found for cs.CV. https://arxiv.org/list/cs.CV/new
[3/6]:
- Action Spotting and Precise Event Detection in Sports: Datasets, Methods, and Challenges
Hao Xu, Arbind Agrahari Baniya, Sam Well, Mohamed Reda Bouadjenek, Richard Dazeley, Sunil Aryal

Does visualization help AI understand data?
Victoria R. Li, Johnathan Sun, Martin Wattenberg
https://arxiv.org/abs/2507.18022 https://arxiv.org/pdf/2507.18…

Does visualization help AI understand data?
Charts and graphs help people analyze data, but can they also be useful to AI systems? To investigate this question, we perform a series of experiments with two commercial vision-language models: GPT 4.1 and Claude 3.5. Across three representative analysis tasks, the two systems describe synthetic datasets more precisely and accurately when raw data is accompanied by a scatterplot, especially as datasets grow in complexity. Comparison with two baselines -- providing a blank chart and a chart wi…

CLEAR-3K: Assessing Causal Explanatory Capabilities in Language Models
Naiming Liu, Richard Baraniuk, Shashank Sonkar
https://arxiv.org/abs/2506.17180 http…

CLEAR-3K: Assessing Causal Explanatory Capabilities in Language Models
We introduce CLEAR-3K, a dataset of 3,000 assertion-reasoning questions designed to evaluate whether language models can determine if one statement causally explains another. Each question present an assertion-reason pair and challenge language models to distinguish between semantic relatedness and genuine causal explanatory relationships. Through comprehensive evaluation of 21 state-of-the-art language models (ranging from 0.5B to 72B parameters), we identify two fundamental findings. First, l…

Investigating the Anti-Correlation between Photon Index and Flux of the Crab using RXTE and NuSTAR
Debjit Chatterjee, Hsiang-Kuang Chang, Dipak Debnath, Koothodil Abhijith Augustine, Tzu-Hsuan Lin
https://arxiv.org/abs/2506.17899

Investigating the Anti-Correlation between Photon Index and Flux of the Crab using RXTE and NuSTAR
We present a systematic study of the recently reported anti-correlation between X-ray flux and photon index ($Γ$) in the Crab Nebula, using archival RXTE/PCA (3 - 50 keV), RXTE/HEXTE (20 - 100 keV), and NuSTAR (3 - 78 keV) observations. Spectra were extracted in soft (3 - 10 keV) and hard bands (10 - 50 keV, 10 - 78 keV, 20 - 100 keV) and fitted with an absorbed power-law model. Across all instruments and energy ranges, we confirm the existence of a persistent negative correlation -- harder sp…

Effective action of bosonic string theory at order $\alpha'^3$
Mehdi Ameri, Alireza Pahlavan, Mohammad R. Garousi
https://arxiv.org/abs/2506.19471 http…

Effective action of bosonic string theory at order $α'^3$
In this work, we derive the classical effective action of bosonic string theory at order $α'^{3}$ for the metric, Kalb-Ramond field, and dilaton by imposing a higher-derivative extension of the Buscher rules on the circular reduction of the minimal basis at this order, in the schemes where their corresponding actions at order $α'$ are the Meissner and the Metsaev-Tseytlin schemes. We find that T-duality fixes all coupling constants in terms of the known overall factor at order $α'$ and a sin…

Evaluation of a determinant involving Legendre symbols
Chen-Kai Ren, Zhi-Wei Sun
https://arxiv.org/abs/2507.18589 https://arxiv.org/pdf/2507.18589

Evaluation of a determinant involving Legendre symbols
Let $p>3$ be a prime, and let $(\frac{\cdot}p)$ be the Legendre symbol. Let $A_p(x)$ denote the matrix $[x+a_{ij}]_{1\leqslant i,j\leqslant (p-1)/2}$, where $$ a_{ij}=\begin{cases} (\frac{j}{p}) &\text{if} \ i=1, \$\frac{i+j}{p}) &\text{if} \ i>1. \end{cases}$$ In 2018 Z.-W. Sun conjectured that $\det A_p(0)=-2^{(p-3)/2}$ if $p\equiv 3 \pmod{4}$, which was later confirmed by G. Zaimi. In this paper we evaluate $\det A_p(x)$ completely.

Horn's problem in PU$(n,1)$
Arielle Marc-Zwecker (IF)
https://arxiv.org/abs/2507.17362 https://arxiv.org/pdf/2507.17362

Horn's problem in PU$(n,1)$
The multiplicative Horn problem is the following question: given three conjugacy classes $\mathcal{C}_1, \mathcal{C}_2, \mathcal{C}_3$ in a Lie group $G$, do there exist elements $(A,B,C)\in\mathcal{C}_1\times\mathcal{C}_2\times\mathcal{C}_3$ such that $ABC=\operatorname{Id}$? In this paper, we study the multiplicative Horn problem restricted to the elliptic classes of the group $G={\rm PU}(n,1)$ for $n\geq 1$, which is the isometry group of the $n$-dimensional complex hyperbolic space. We show…

An extremely low mass ratio contact binary NW Aps with a potential compact companion star
Xiao Zhou
https://arxiv.org/abs/2507.17198 https://arxiv.org/pdf/…

An extremely low mass ratio contact binary NW Aps with a potential compact companion star
The photometric solutions of NW Aps reveal that it is a low mass ratio ($q = 0.086$) contact binary system. Investigation of orbital period shows that its orbital period is increasing continuously at a rate of $dP/dt=+1.117(\pm0.005)\times{10^{-6}}day\cdot year^{-1}$, which may be caused by mass transfer from the less massive component to the more massive one at a rate of $\frac{dM_{2}}{dt}=-3.36(\pm0.02)\times{10^{-8}}M_\odot/year$. A cyclic variation of $P_3 = 22.9(\pm0.1)$ is also found in t…

Loose threads: parsec-scale filamentation in the high Galactic latitude molecular clouds MBM 3 and MBM 16
Marco Monaci, Loris Magnani, Steven N. Shore
https://arxiv.org/abs/2506.19728

Loose threads: parsec-scale filamentation in the high Galactic latitude molecular clouds MBM 3 and MBM 16
The existence of high galactic latitude molecular clouds has been known for several decades, and studies of their dust and gas distributions reveal complicated morphological structures. Their dynamics involve turbulence even in the absence of internal energy sources such as stars. We study in detail two such clouds, MBM 3 and MBM 16, trying to recover the geometric structure and topology of the gas distribution. In particular, we address the evidence of superthermal asymmetric atomic and molecu…

Positive intermediate Ricci curvature on cohomogeneity one manifolds in low dimensions
Elahe Khalili Samani, Lawrence Mouill\'e
https://arxiv.org/abs/2507.17920 https://

Positive intermediate Ricci curvature on cohomogeneity one manifolds in low dimensions
We explore existence of invariant metrics with positive intermediate Ricci curvature on closed, low-dimensional cohomogeneity one manifolds. For a certain cohomogeneity one $\mathsf{Spin}(4)$-action on $S^3 \times \mathbb{C}\mathrm{P}^2$, we construct an invariant metric with positive $4$-intermediate Ricci curvature and show it cannot admit one with positive $3$-intermediate Ricci curvature. We establish similar obstructions for several other cohomogeneity one manifolds.

Replaced article(s) found for quant-ph. https://arxiv.org/list/quant-ph/new
[3/3]:
- Impact of the honeycomb spin-lattice on topological magnons and edge states in ferromagnetic 2D s...
Doried Ghader, Bilal Jabakhanji

Replaced article(s) found for cs.LG. https://arxiv.org/list/cs.LG/new
[3/11]:
- One-Step is Enough: Sparse Autoencoders for Text-to-Image Diffusion Models
Surkov, Wendler, Mari, Terekhov, Deschenaux, West, Gulcehre, Bau

Complete polyhedral description of chemical graphs of maximum degree at most 3
Valentin Dusollier, S\'ebastien Bonte, Gauvain Devillez, Alain Hertz, Hadrien M\'elot, David Schindl
https://arxiv.org/abs/2506.19768

Complete polyhedral description of chemical graphs of maximum degree at most 3
Chemical graphs are simple undirected connected graphs, where vertices represent atoms in a molecule and edges represent chemical bonds. A degree-based topological index is a molecular descriptor used to study specific physicochemical properties of molecules. Such an index is computed from the sum of the weights of the edges of a chemical graph, each edge having a weight defined by a formula that depends only on the degrees of its endpoints. Given any degree-based topological index and given tw…

Flavor SU(3) analysis of the charmless semileptonic $B \to PV\ell^ \nu_\ell$ decays
Yi Qiao, Jin-Huan Sheng, Yuan-Guo Xu, Ru-Min Wang
https://arxiv.org/abs/2507.17537

Flavor SU(3) analysis of the charmless semileptonic $B \to PV\ell^+ν_\ell$ decays
All charmless $B \to PV\ell^+ν_\ell$ ($P$ denotes light pseudoscalar meson and $V$ denotes vector meson) decays have not been experimentally observed to date, but some of them might be measured in the near future. The charmless $B \to PV\ell^+ν_\ell$ decays with the axial-vector ($A$) resonance states, the tensor ($T$) resonance states and the excited vector ($V_{E,D}$) resonance states are studied based on flavor SU(3) analysis in this work, where $V_E$ contains $\{ρ(1450), K^*(1410), ω(14…

Replaced article(s) found for cs.AI. https://arxiv.org/list/cs.AI/new
[3/5]:
- OMNISEC: LLM-Driven Provenance-based Intrusion Detection via Retrieval-Augmented Behavior Prompting
Wenrui Cheng, Tiantian Zhu, Shunan Jing, Jian-Ping Mei, Mingjun Ma, Jiaobo Jin, Zhengqiu Weng
…

Lumina-mGPT 2.0: Stand-Alone AutoRegressive Image Modeling
Yi Xin, Juncheng Yan, Qi Qin, Zhen Li, Dongyang Liu, Shicheng Li, Victor Shea-Jay Huang, Yupeng Zhou, Renrui Zhang, Le Zhuo, Tiancheng Han, Xiaoqing Sun, Siqi Luo, Mengmeng Wang, Bin Fu, Yuewen Cao, Hongsheng Li, Guangtao Zhai, Xiaohong Liu, Yu Qiao, Peng Gao
https://arxiv.org/abs/…

Lumina-mGPT 2.0: Stand-Alone AutoRegressive Image Modeling
We present Lumina-mGPT 2.0, a stand-alone, decoder-only autoregressive model that revisits and revitalizes the autoregressive paradigm for high-quality image generation and beyond. Unlike existing approaches that rely on pretrained components or hybrid architectures, Lumina-mGPT 2.0 is trained entirely from scratch, enabling unrestricted architectural design and licensing freedom. It achieves generation quality on par with state-of-the-art diffusion models such as DALL-E 3 and SANA, while prese…

Replaced article(s) found for cs.CL. https://arxiv.org/list/cs.CL/new
[2/3]:
- GTA: Grouped-head latenT Attention
Luoyang Sun, Cheng Deng, Jiwen Jiang, Xinjian Wu, Haifeng Zhang, Lei Chen, Lionel Ni, Jun Wang

Infinitely many elliptic curves over $\mathbb{Q}(i)$ with rank 2 and $j$-invariant 1728
Ben Savoie
https://arxiv.org/abs/2506.17605 https://

Infinitely many elliptic curves over $\mathbb{Q}(i)$ with rank 2 and $j$-invariant 1728
We prove that there exist infinitely many elliptic curves over $\mathbb{Q}(i)$ of the form $y^2 = x^3 - γ^2 x$, where $γ\in \mathbb{Z}[i]$, with rank 2. In addition, we prove that if $p$ and $q$ are rational twin primes with $p \equiv 5 \bmod 8$, then $y^2 = x^3 + p q x$ has rank 2 over $\mathbb{Q}(i)$. Lastly, we prove that if $p$ is a rational prime of the form $p = a^2 + b^4$ (of which there are infinitely many) and $p \not\equiv 1 \bmod 16$, then $y^2 = x^3 - p x$ has rank 2 over $\mathbb…

Building multi-BTZ black holes through Riemann-Hilbert problem
Jun-ichi Sakamoto, Shinya Tomizawa
https://arxiv.org/abs/2506.19310 https://

Building multi-BTZ black holes through Riemann-Hilbert problem
We construct a recently found class of non-BPS black hole solutions with asymptotically $AdS_3\times S^3\times T^4$ in type IIB supergravity, consisting of multiple BTZ black holes localized on an $S^3$, within the group theoretical framework of Breitenlohner and Maison (BM). Starting with the multi-neutral black string solution as a seed, we solve the associated Riemann-Hilbert problem for the BM linear system. First, we determine the monodromy matrix corresponding to this seed solution by gen…

A deep search for radio pulsations from the 1.3 M$_{\odot}$ compact-object binary companion of young pulsar PSR J1906 0746
Yuyang Wang, Joeri van Leeuwen
https://arxiv.org/abs/2507.17641

A deep search for radio pulsations from the 1.3 M$_{\odot}$ compact-object binary companion of young pulsar PSR J1906+0746
Double pulsar systems offer unrivaled advantages for the study of both astrophysics and fundamental physics. But only one has been visible: PSR J0737$-$3039; and its component pulsar B has now rotated out of sight due to the general-relativistic effect of geodetic precession. We know, though, that these precession cycles can also pivot pulsars into sight, and that this precession occurs at similar strength in PSR J1906+0746. That source is a young, unrecycled radio pulsar, orbiting a compact ob…

Current Galactic Chemical Evolution models fail to explain rising Na-abundances of young thick disc stars
E. K. Owusu (School of Science, University of New South Wales Canberra, Australia Defence Force Academy, Australia, ARC Centre of Excellence for All-Sky Astrophysics in 3 Dimensions, Max-Planck-Institut f\"ur Astronomie, Heidelberg, Germany, Heidelberger Institut f\"ur Theoretische Studien, Heidelberg, Germany), A. J. Ruiter (School of Science, University of New South Wal…

Current Galactic Chemical Evolution models fail to explain rising Na-abundances of young thick disc stars
We recently identified an upturn in [Na/Fe] for the population of Solar-type stars in the Galactic thick disc ($-0.3 < [\mathrm{Fe/H}] < +0.3$ dex) at super-Solar metallicity in GALactic Archaeology with HERMES (GALAH) data. Here, we investigate the cause of this unexplained Na enrichment between ([Fe/H] $\sim 0 - 0.6$ dex) using the OMEGA$+$ galactic chemical evolution code. We investigate the increase of [Na/Fe] with four combinations of nucleosynthetic yields from the literature, with source…

Replaced article(s) found for cs.AI. https://arxiv.org/list/cs.AI/new
[3/8]:
- ChatDBG: Augmenting Debugging with Large Language Models
Kyla H. Levin, Nicolas van Kempen, Emery D. Berger, Stephen N. Freund

Replaced article(s) found for cs.CL. https://arxiv.org/list/cs.CL/new
[1/3]:
- Multi-Level Explanations for Generative Language Models
Paes, Wei, Jin, Strobelt, Luss, Dhurandhar, Nagireddy, Ramamurthy, Sattigeri, Geyer, Ghosh

Large grid subsets without many cospherical points
Zichao Dong, Zijian Xu
https://arxiv.org/abs/2506.18113 https://arxiv.org/pdf/2506…

Large grid subsets without many cospherical points
Motivated by intuitions from projective algebraic geometry, we provide a novel construction of subsets of the $d$-dimensional grid $[n]^d$ of size $n - o(n)$ with no $d + 2$ points on a sphere or a hyperplane. For $d = 2$, this improves the previously best known lower bound of $n/4$ toward the Erdős--Purdy problem due to Thiele in 1995. For $d \ge 3$, this improves the recent $Ω\bigl( n^{\frac{3}{d+1}-o(1)} \bigr)$ bound due to Suk and White, confirming their conjectured $Ω\bigl( n^{\frac{d}…

Replaced article(s) found for quant-ph. https://arxiv.org/list/quant-ph/new
[2/3]:
- Robustness of entanglement in a non-Hermitian cavity-optomechanical system even away from excepti...
Jia-Jia Wang, Yu-Hong He, Chang-Geng Liao, Rong-Xin Chen, Jacob A. Dunningham

On string theory on (deformed) $AdS_3\times \mathbb{T}^3$
Soumangsu Chakraborty, Amit Giveon
https://arxiv.org/abs/2507.15929 https://

On string theory on (deformed) $AdS_3\times \mathbb{T}^3$
We revisit the fermionic string theory on $AdS_3\times \mathcal{N}$ with $k=1$, and its single-trace $T\bar T$ deformation, with a focus on the $(2,2)$ superstring on (deformed) $AdS_3\times \mathbb{T}^3$. In a certain limit, it is dual to the symmetric product of the ($T\bar T$-deformed) SCFT$_2$ on $\mathbb{R}\times \mathbb{T}^3$. We present the winding-one delta-function normalizable worldsheet operators which, in the $k=1$ decoupling limit, correspond to those of $\mathbb{R}\times \mathbb{T…

Replaced article(s) found for hep-ph. https://arxiv.org/list/hep-ph/new
[3/3]:
- A three-family supersymmetric Pati-Salam model from rigid intersecting D6-branes
Adeel Mansha, Mudassar Sabir, Tianjun Li, Luyang Wang

Replaced article(s) found for cs.CL. https://arxiv.org/list/cs.CL/new
[2/3]:
- Speech as a Multimodal Digital Phenotype for Multi-Task LLM-based Mental Health Prediction
Ali, Lucasius, Patel, Aitken, Vorstman, Szatmari, Battaglia, Kundur

Replaced article(s) found for quant-ph. https://arxiv.org/list/quant-ph/new
[1/3]:
- Interplay among entanglement, measurement incompatibility, and nonlocality
Yuwei Zhu, Xingjian Zhang, Xiongfeng Ma

Replaced article(s) found for cs.CL. https://arxiv.org/list/cs.CL/new
[1/3]:
- Modeling the Sacred: Considerations when Using Religious Texts in Natural Language Processing
Ben Hutchinson

Replaced article(s) found for hep-ph. https://arxiv.org/list/hep-ph/new
[3/3]:
- Cosmology in Extended Parameter Space with DESI Data Release 2 Baryon Acoustic Oscillations: A 2$...
Shouvik Roy Choudhury

Exhaustive Generation of Pattern-Avoiding s-Words
Samuel Buick, Madeleine Goertz, Amos Lastmann, Kunal Pal, Helen Qian, Sam Tacheny, Aaron Williams, Leah Williams, Yulin Zhai
https://arxiv.org/abs/2508.16039

Exhaustive Generation of Pattern-Avoiding s-Words
The most well-known Gray code of permutations is plain changes. It was discovered in the 1600s by bell-ringers who wished to order the permutations of [n] by swaps (e.g., 123, 132, 312, 321, 231, 213 for n = 3). In other words, plain changes traces a Hamilton path in the permutohedron. In 2013 it was shown that plain changes can be generated by a greedy algorithm: swap the largest value. Algorithm J replaces the swap operation with the jump operation (which moves a larger digit past one or more…

The hyperbolic lattice counting problem in large dimensions
Christos Katsivelos
https://arxiv.org/abs/2506.17753 https://arxiv.org/pd…

The hyperbolic lattice counting problem in large dimensions
For $n\geq 3$ and $Γ$ a cocompact lattice acting on the hyperbolic space $\mathbb{H}^n$, we investigate the average behaviour of the error term in the circle problem. First, we explore the local average of the error term over compact sets of $Γ\backslash\mathbb{H}^n$. Our upper bound depends on the quantum variance and the spectral exponential sums appearing in the study of the Prime geodesic theorem. We also prove $Ω$-results for the mean value and the second moment of the error term.

Nilpotency Property, Physicality Criteria, Constraints and Standard BRST Algebra: A 4D Field-Theoretic System
R. P. Malik
https://arxiv.org/abs/2507.17590 https://

Nilpotency Property, Physicality Criteria, Constraints and Standard BRST Algebra: A 4D Field-Theoretic System
Within the framework of Becchi-Rouet-Stora-Tyutin (BRST) formalism, we discuss the off-shell nilpotent (anti-)BRST and the bosonic ghost-scale symmetries of a set of coupled (but equivalent) Lagrangian densities for the four (3 + 1)-dimensional (4D) combined field-theoretic system of the free Abelian 3-form and 1-form gauge theories. We demonstrate that the Noether (anti-)BRST charges are non-nilpotent due to the presence of a set of non-trivial Curci-Ferrari (CF) type restrictions on our theor…

Replaced article(s) found for quant-ph. https://arxiv.org/list/quant-ph/new
[1/3]:
- Chain rules for quantum R\'enyi entropies
Fr\'ed\'eric Dupuis

Replaced article(s) found for cs.CL. https://arxiv.org/list/cs.CL/new
[3/6]:
- TALE: A Tool-Augmented Framework for Reference-Free Evaluation of Large Language Models
Sher Badshah, Ali Emami, Hassan Sajjad

On Gy\'arf\'as' Path-Colour Problem
Ben Cameron, Alexander Clow
https://arxiv.org/abs/2506.19100 https://arxiv.org/pdf/25…

On Gyárfás' Path-Colour Problem
In their 1997 paper titled ``Fruit Salad", Gyárfás posed the following conjecture: there exists a constant $k$ such that if each path of a graph spans a $3$-colourable subgraph, then the graph is $k$-colourable. It is noted that $k=4$ might suffice. Let $r(G)$ be the maximum chromatic number of any subgraph $H$ of $G$ where $H$ is spanned by a path. The only progress on this conjecture comes from Randerath and Schiermeyer in 2002, who proved that if $G$ is an $n$ vertex graph, then $χ(G) \le…

Counting elliptic curves over $\mathbb{Q}$ with bounded naive height
Adrian Barquero-Sanchez, Daniel Mora-Mora
https://arxiv.org/abs/2506.18874 https://

Counting elliptic curves over $\mathbb{Q}$ with bounded naive height
In this paper, we give exact and asymptotic formulas for counting elliptic curves $ E_{A,B} \colon y^2 = x^3 + Ax + B $ with $ A, B \in \mathbb{Z} $, ordered by naive height. We study the family of all such curves and also several natural subfamilies, including those with fixed $ j $-invariant and those with complex multiplication (CM). In particular, we provide formulas for two commonly used normalizations of the naive height appearing in the literature: the calibrated naive height, defined by…

Extended Kalman Smoothing of Free Spin Precession Signals for Precise Magnetic Field Determination
Jasper Riebesehl, Lutz Mertensk\"otter, Wiebke Pohlandt, Wilhelm Stannat, Wolfgang Kilian
https://arxiv.org/abs/2507.17602

Extended Kalman Smoothing of Free Spin Precession Signals for Precise Magnetic Field Determination
We present a novel application of the Extended Kalman Smoother (EKS) for high-precision frequency estimation from free spin precession signals of polarized $^3$He. Traditional approaches often rely on nonlinear least-squares fitting, which can suffer from limited robustness to signal decay and time-dependent frequency shifts. By contrast, our EKS-based method captures both amplitude and frequency variations with minimal tuning, adapting automatically to fluctuations via an expectation-maximizat…

Replaced article(s) found for cs.CL. https://arxiv.org/list/cs.CL/new
[3/5]:
- When can isotropy help adapt LLMs' next word prediction to numerical domains?
Rashed Shelim, Shengzhe Xu, Walid Saad, Naren Ramakrishnan

Finding congruences with the WZ method
Li-Quan Feng, Qing-Hu Hou
https://arxiv.org/abs/2506.19221 https://arxiv.org/pdf/2506.19221

Finding congruences with the WZ method
We utilize the Wilf-Zeilberger (WZ) method to establish congruences related to truncated Ramanujan-type series. By constructing hypergeometric terms $f(k, a, b, \ldots)$ with Gosper-summable differences and selecting appropriate parameters, we derive several congruences modulo $p$ and $p^2$ for primes $p > 2$. For instance, we prove that for any prime $p > 2$, \[ \sum_{n=0}^{p-1} \frac{10n+3}{2^{3n}}\binom{3n}{n}\binom{2n}{n}^2 \equiv 0 \pmod{p},\] and \[ \sum_{n=0}^{p-1} \frac{(-1)^n(20n^2+8n+…

Replaced article(s) found for quant-ph. https://arxiv.org/list/quant-ph/new
[2/3]:
- Entanglement of a spin-1/2 Ising-Heisenberg diamond spin cluster in the thermal bosonic bath
A. R. Kuzmak

Replaced article(s) found for quant-ph. https://arxiv.org/list/quant-ph/new
[1/3]:
- The maximum distinctness of physical systems
Norman Margolus
https://

Resource-Efficient Simulations of Particle Scattering on a Digital Quantum Computer
Yahui Chai, Joe Gibbs, Vincent R. Pascuzzi, Zo\"e Holmes, Stefan K\"uhn, Francesco Tacchino, Ivano Tavernelli
https://arxiv.org/abs/2507.17832

Resource-Efficient Simulations of Particle Scattering on a Digital Quantum Computer
We develop and demonstrate methods for simulating the scattering of particle wave packets in the interacting Thirring model on digital quantum computers, with hardware implementations on up to 80 qubits. We identify low-entanglement time slices of the scattering dynamics and exploit their efficient representation by tensor networks. Circuit compression based on matrix product state techniques yields on average a reduction by a factor of 3.2 in circuit depth compared to conventional approaches, …