Tootfinder

PRELUDE: A Benchmark Designed to Require Global Comprehension and Reasoning over Long Contexts
Mo Yu, Tsz Ting Chung, Chulun Zhou, Tong Li, Rui Lu, Jiangnan Li, Liyan Xu, Haoshu Lu, Ning Zhang, Jing Li, Jie Zhou
https://arxiv.org/abs/2508.09848

PRELUDE: A Benchmark Designed to Require Global Comprehension and Reasoning over Long Contexts
We introduce PRELUDE, a benchmark for evaluating long-context understanding through the task of determining whether a character's prequel story is consistent with the canonical narrative of the original book. Our task poses a stronger demand for global comprehension and deep reasoning than existing benchmarks -- as the prequels are not part of the original story, assessing their plausibility typically requires searching and integrating information that is only indirectly related. Empirically, 8…

Pascal's Matrix, Point Counting on Elliptic Curves and Prolate Spheroidal Functions
W. Riley Casper
https://arxiv.org/abs/2508.08494 https://arxiv.org/…

Pascal's Matrix, Point Counting on Elliptic Curves and Prolate Spheroidal Functions
The eigenvectors of the $(N+1)\times (N+1)$ symmetric Pascal matrix $T_N$ are analogs of prolate spheroidal wave functions in the discrete setting. The generating functions of the eigenvectors of $T_N$ are prolate spheroidal functions in the sense that they are simultaneously eigenfunctions of a third-order differential operator and an integral operator over the critical line $\{z\in\mathbb{C}: \text{Re}(z) = 1/2\}$. For even, positive integers $N$, we obtain an explicit formula for the generat…

103 decline push-ups @ 69
It's another new p.r., and I visualized it during the night. Two more sets will come this evening as I ramp up to two sets of 100 or more (29½-cm offset; parallettes for fuller ROM). Times to decile counts were also records. I've squished the vast middle down with sped-up video to keep it watchworthy and get 8½ minutes down to 2¼. The start and end are normal speed to aid form assessment.

Built an #aspnetcore tag helper that scans your current page and outputs the assets as preload links in your layout.
This will make your pages feel very snappy and keep images from blocking the processing of the HTML.

Replaced article(s) found for cs.GT. https://arxiv.org/list/cs.GT/new
[1/1]:
- Asynchronous Majority Dynamics on Binomial Random Graphs
Divyarthi Mohan, Pawel Pralat

🇺🇦 #NowPlaying on BBCRadio3's #ThroughTheNight
Soo-Jin Hong, Soo-Kyung Hong, Henschel Quartett & Richard Strauss:
🎵 Prelude (Introduction) [string sextet] from Capriccio - opera in 1 act, Op 85
#SooJinHong
https://open.spotify.com/track/7d7Dlq3fIdTdWiSNCszfDl

🇺🇦 #NowPlaying on KEXP's #MorningShow
Theo Croker:
🎵 prelude 3
#TheoCroker
https://theocroker.bandcamp.com/track/prelude-3
https://open.spotify.com/track/0FkLJlUb8zo9iEzcDTwj8t

Anomalous Sodium Insertion in Highly Oriented Graphite: Thermodynamics, Kinetics and Evidence for Two-Sided Intercalation
Chuanhai Gan, Chuanlian Xiao, Hongguang Wang, Peter A. van Aken, Rotraut Merkle, Sebastian Bette, Bettina V. Lotsch, Joachim Maier
https://arxiv.org/abs/2508.08806

Anomalous Sodium Insertion in Highly Oriented Graphite: Thermodynamics, Kinetics and Evidence for Two-Sided Intercalation
The difficult intercalation of sodium (Na) into graphite is studied by systematic and long-time investigations (of up to 2 years) using highly oriented pyrolytic graphite (HOPG). By studying chemical insertion of solid, liquid and gaseous Na at low and high temperatures (LT, HT) as well as using electrochemical insertion at 25 degree Celsius into uncoated and coated HOPG, it became clear that insertion equilibrium requires HT. On decreasing chemical intercalation temperature from HT (500 degree…

Top to random and reverse: analysis of a new descent algebra shuffle
Darij Grinberg, Jonathan Parlett
https://arxiv.org/abs/2508.06740 https://arxiv.org/pd…

Top to random and reverse: analysis of a new descent algebra shuffle
We study the "top-to-random-and-reverse shuffle", defined as the top-to-random shuffle in the symmetric group algebra composed with the permutation $w_0$ (which sends each $i$ to $n+1-i$). More generally, we analyze the composition of any B-basis element of the descent algebra with $w_0$. We show that the minimal polynomial of any such composition (over $\mathbb{Q}$) factors into distinct linear factors, which correspond to the "signed knapsack numbers" of set compositions. This is a counterpar…

🇺🇦 #NowPlaying on BBCRadio3's #ThroughTheNight
Lukas Geniusas & Сергей Васильевич Рахманинов:
🎵 Prelude no 13 in D flat major [from 13 Preludes Op 32 for piano]
#LukasGeniusas #СергейВасильевичРахманинов