Tootfinder

Optimal Threshold Signatures in Bitcoin
Korok Ray, Sindura Saraswathi
https://arxiv.org/abs/2509.25408 https://arxiv.org/pdf/2509.25408

Optimal Threshold Signatures in Bitcoin
We formulate the design of a threshold signature scheme as made possible on cryptocurrency protocols like Bitcoin. The funds are secured by an m-of-n threshold signature, where at least m signatures are needed to unlock the funds. A user designs this scheme knowing that a malicious attacker can also obtain the signatures with some probability. Higher thresholds offer more security, but also risk locking the user out of his own funds. The optimal threshold balances these twin effects. Interventi…

Trickle-down ‘theory’ was never serious science;
it was always a rhetorical mask for a more straightforward goal:
making the rich richer.
On that front, when we take the stated goal of enriching the wealthy at face value,
suddenly the evidence makes sense.
Across states, the relative income of the richest Americans scales consistently with Republican politics.
So it seems that despite the trickle-down charade, the plutocracy was always the point.

Partisan Politics and the Road to Plutocracy – Economics from the Top Down
In this essay, I take a deep dive into the history of American plutocracy and its conspicuously Republican roots.

🇺🇦 #NowPlaying on KEXP's #Expansions
I:Cube:
🎵 Troglo Dance
#I:Cube
https://icube.bandcamp.com/track/troglo-dance
https://open.spotify.com/track/5oI27FYx7e585ZXA26Png4

Irreversible $k$-Threshold Conversion Number of Corona Product and Double Corona Product Graphs
Eric Moon, Paul Flesher, Soumya Bhoumik
https://arxiv.org/abs/2508.21764 https://…

Irreversible $k$-Threshold Conversion Number of Corona Product and Double Corona Product Graphs
This paper studies the irreversible $k$-threshold process on graphs, where a vertex becomes colored if at least $k$ neighbors are colored and remains colored indefinitely. We investigate vertex sets that, when initially colored, lead to a completely colored graph. The graphs under initial consideration are constructed using the corona product of cyclic graphs and complete graphs. We then introduce and explore double corona product graphs (of cyclic graphs and complete graphs) to study more comp…

On Boolean PCSPs with Polynomial Threshold Polymorphisms
Katzper Michno
https://arxiv.org/abs/2509.26248 https://arxiv.org/pdf/2509.26248

On Boolean PCSPs with Polynomial Threshold Polymorphisms
In pursuit of a deeper understanding of Boolean Promise Constraint Satisfaction Problems (PCSPs), we identify a class of problems with restricted structural complexity, which could serve as a promising candidate for complete characterization. Specifically, we investigate the class of PCSPs whose polymorphisms are Polynomial Threshold Functions (PTFs) of bounded degree. We obtain two complexity characterization results: (1) with a hardness condition introduced in [ACMTCT'21], we establish a comp…

The Universal Theory of Locally Universal Tracial von Neumann Algebras is not Computable
Jananan Arulseelan, Aareyan Manzoor
https://arxiv.org/abs/2508.21709 https://

The Universal Theory of Locally Universal Tracial von Neumann Algebras is not Computable
Building on Lin's breakthrough MIP$^{co}$ = coRE and an encoding of non-local games as universal sentences in the language of tracial von Neumann algebras, we show that locally universal tracial von Neumann algebras have undecidable universal theories. This implies that no such algebra admits a computable presentation. Our results also provide, for the first time, explicit examples of separable II$_1$ factors without computable presentations, and in fact yield a broad family of them, including …

The transverse-traceless gauge and the gauge problem of second order gravitational waves
Yadong Xue, Zhoujian Cao
https://arxiv.org/abs/2509.26159 https://…

The transverse-traceless gauge and the gauge problem of second order gravitational waves
The gauge problem arises in the second order gravitational waves due to the mode mixing. Here, we introduce the transverse-traceless (TT) gauge to cosmological backgrounds, and find that if we choose the TT gauge at first order, the second order tensor mode would be gauge invariant. Analogous to the Ricci flat spacetime, the vacuum condition is the key to guarantee the existence of the TT gauge on cosmological backgrounds. When we have the vacuum condition, the Poisson gauge, the uniform curvat…

World’s oceans fail key health check as acidity crosses critical threshold for marine life https://www.theguardian.com/environment/2025/sep/24/worlds-oceans-fail-key-health-check-as-acidity-crosses-critic…

W sobotę odwiedziłem #Polder Zalewowy #Domaszków-#Tarchalice, i spotkało mnie miłe zaskoczenie. Wbrew nazwie, nie spotkałem tam trawiastych moczar, lecz gęsty

The shutdown is not the fault of democrats. Republicans can vote to fund the government without a single democrat by changing the rules to lower the 60 vote threshold like they did two weeks ago to push through 48 trump appointees at once. 10/
-- Mueller She Wrote
https://bsky.app/profile/muellershe…