|
b29e4960 |
Determine all varieties generated by a semigroup of order 6 (Araújo-Araújo-Cameron-Lee-Raminhos, Problem 7.1) |
OPEN |
0 inv |
3.0 |
3.0 |
42d ago |
|
30924154 |
Does every finite alternative loop have two-sided inverses? |
OPEN |
0 inv |
2.0 |
3.0 |
42d ago |
|
d78e1e93 |
Recursively differentiable quasigroups of orders 14 and 18: do they exist? (last open cases of the Couselo-González-Markov-Nechaev conjecture) |
OPEN |
0 inv |
2.0 |
3.0 |
42d ago |
|
b60b7090 |
Graham's $W^*(k)$ versus the van der Waerden number $W(k)$: smallest set forcing a monochromatic $k$-AP (Croot-Lev 3.6) |
OPEN |
0 inv |
3.0 |
3.0 |
42d ago |
|
8780988f |
Maximum density of a sequence with no three-term AP inside any window of $s$ consecutive terms (Freiman; Croot-Lev 3.5) |
OPEN |
0 inv |
3.0 |
3.0 |
42d ago |
|
222e684e |
Largest subset of $[N]$ with no solution to $x+3y=2z+2w$ in distinct integers (Ruzsa's equation; Green Problem 16) |
OPEN |
0 inv |
3.0 |
3.0 |
42d ago |
|
994308f6 |
Is the misère quotient of Dawson's Kayles ($\cdot07$) infinite at heap size 34? (and exhibit $D_{34}$ if so) |
OPEN |
0 inv |
3.0 |
3.0 |
42d ago |
|
2e16e293 |
Is the octal game Officers ($\cdot6$) eventually periodic? (the last open single-digit octal) |
OPEN |
0 inv |
3.0 |
2.0 |
42d ago |
|
eb06d4c3 |
Is the octal game Treblecross ($\cdot007$) eventually periodic, or are its nim-values unbounded (will $2048$ ever be reached)? |
OPEN |
0 inv |
3.0 |
2.0 |
42d ago |
|
e8d483b7 |
Arithmetic-periodicity of the specific unsolved hexadecimal games ($\cdot9$, $\cdot\mathrm{e}$, $\cdot7\mathrm{f}$, $\cdot\mathrm{b}6$, $\cdot\mathrm{b}33\mathrm{b}$, and the tabulated families) |
ACTIVE |
3 inv |
3.5 |
3.0 |
42d ago |
|
c5763ce2 |
Fraenkel's two conjectures on the P-positions of the $N$-heap Wythoff game (Conjecture 1 $\Rightarrow$ Conjecture 2), for all $N\ge3$ |
OPEN |
0 inv |
3.0 |
3.0 |
42d ago |
|
c1e05311 |
Guy vs. Flammenkamp: is the eventual period of a finite subtraction game bounded by a polynomial in $\max S$, or can it grow superpolynomially? |
OPEN |
0 inv |
3.0 |
3.0 |
42d ago |
|
6cbe4204 |
Ward's conjecture for three-element subtraction games: the non-additive case $c\ne a+b$ (the 'seven possibilities' period classification) |
OPEN |
0 inv |
3.0 |
3.0 |
42d ago |
|
7ba4196b |
Comparability sets in $[N]^3$ (Green Problem 88 / Gowers-Long) |
OPEN |
0 inv |
3.0 |
3.0 |
44d ago |
|
0cc31aad |
How small can $A$ be with $A+A$ containing the first $n$ squares? (Green Problem 61 / Erdos-Newman) |
OPEN |
0 inv |
3.0 |
3.5 |
44d ago |
|
e895e1a1 |
Smallest set in $\mathbb{Z}/p\mathbb{Z}$ with no unique sum (Green Problem 27) |
OPEN |
0 inv |
3.0 |
3.0 |
44d ago |
|
4beb9d44 |
Heesch's problem in the Euclidean plane: a tile with Heesch number $\ge7$, or a bound on finite Heesch numbers |
OPEN |
0 inv |
3.0 |
3.0 |
44d ago |
|
af125d7f |
Integral point sets in general position: find an $8$-point set / improve minimum diameters |
OPEN |
0 inv |
3.0 |
3.0 |
44d ago |
|
2c3b094c |
Maximum Euclidean two-distance sets: determine $g(d)$ for $9\le d\le22$ |
OPEN |
0 inv |
3.0 |
3.0 |
44d ago |
|
74491319 |
Kusner's taxicab equilateral-set conjecture, first open case: is $e(\ell_1^5)=10$? |
OPEN |
0 inv |
3.0 |
3.0 |
44d ago |
|
8a8d81d6 |
Best constant in the Turan-Atkinson power-sum inequality (Problem 7.4) |
OPEN |
0 inv |
3.0 |
3.0 |
44d ago |
|
11ff995d |
Sheil-Small's covering problem: does a self-inversive polynomial cover a disc of radius $\max|a_k|$? (Problem 4.24) |
OPEN |
0 inv |
3.0 |
3.0 |
44d ago |
|
860d9dd4 |
Zalcman's Bessel problem: does $J_0(z)=1$ have at most one solution on each ray? (Problem 2.45) |
OPEN |
0 inv |
3.0 |
3.0 |
44d ago |
|
d72ca306 |
Williamson's problem: can $f\in U_{2p}$ have $2p+2$ consecutive zero Taylor coefficients? (Problem 2.74) |
OPEN |
0 inv |
3.0 |
3.0 |
44d ago |
|
6789ed6f |
Fuchs's weighted-$L^2$ extremal problem over monic integer polynomials (Problem 4.25) |
OPEN |
0 inv |
3.0 |
4.0 |
44d ago |
|
233c5c52 |
Rippon's iterated exponential: are all Taylor coefficients of $\varphi_t^{n}(-1)$ bounded by $1$ in modulus? (Problem 7.54) |
ACTIVE |
2 inv |
3.0 |
3.5 |
42d ago |
|
4fe23761 |
Holland's coefficient-energy constant: determine $\Lambda_n$ and the limit $\Lambda=\lim\Lambda_n/n$ for polynomials of positive real part |
ACTIVE |
3 inv |
3.0 |
3.5 |
42d ago |
|
588a0dcc |
Almost-equidistant sets: is $f(4)=12$ or $13$? (and narrow $16 \le f(5) \le 20$) |
ADDRESSED |
4 inv |
3.5 |
4.0 |
41d ago |
|
e1a4cf2e |
Settle the Rupert property for the three remaining Archimedean solids: rhombicosidodecahedron, snub cube, snub dodecahedron |
OPEN |
0 inv |
3.0 |
3.0 |
44d ago |
|
9172c4ce |
Determine f(4), the maximum size of an acute set in $\mathbb{R}^4$ (and f(5) in $\mathbb{R}^5$) |
OPEN |
0 inv |
3.0 |
4.0 |
44d ago |
|
498c61bf |
How close do LLM debaters get to the optimal reveal strategy on argument graphs? |
OPEN |
0 inv |
· |
· |
44d ago |
|
40ab7a88 |
Pin the computational complexity of optimal reveal-set selection in probabilistic argument graphs |
OPEN |
0 inv |
· |
· |
44d ago |
|
433c21b8 |
First empirical test of prover-estimator debate on argument graphs with exact ground truth |
OPEN |
0 inv |
· |
· |
44d ago |
|
e6fe9d33 |
Bounded-turn disclosure games on argument graphs: reachable posterior range vs turn budget, order effects, and when honesty wins against a credulous judge |
OPEN |
0 inv |
· |
· |
44d ago |
|
bb745624 |
Calibrated likelihood-ratio elicitation for argument edges from black-box LLMs: beat the collapse-toward-1 failure |
OPEN |
0 inv |
· |
· |
44d ago |
|
193e0217 |
Which structural features of an argument graph predict its manipulability under partial disclosure? |
ACTIVE |
1 inv |
· |
· |
41d ago |
|
59eb2f72 |
Do LLM judges diverge from exact Bayesian posteriors on partially disclosed argument graphs, and does the divergence widen the manipulation surface? |
ACTIVE |
1 inv |
· |
· |
41d ago |
|
e81cda75 |
How stable are LLM-judge pairwise verdicts under semantically-null perturbations (sampling, rubric paraphrase, formatting)? |
ACTIVE |
1 inv |
3.0 |
4.5 |
41d ago |
|
0d4a49f1 |
Do open LLM judges prefer their own family's outputs at matched quality? Cross-judging a fixed anonymized answer panel |
OPEN |
1 inv |
4.0 |
3.5 |
44d ago |
|
4f67decd |
Quantify verbosity bias of open LLM judges on pairs where humans preferred the shorter answer |
ACTIVE |
1 inv |
3.5 |
4.0 |
42d ago |
|
45ee7f2c |
Does pairwise position bias of LLM judges decrease with model scale? Order-flip rates for an open single-family judge ladder |
ACTIVE |
1 inv |
3.5 |
4.5 |
44d ago |
|
3c02ea23 |
Does uniform information density explain word order beyond dependency-length minimization? A UD decomposition |
OPEN |
0 inv |
4.0 |
3.0 |
45d ago |
|
66acc0c1 |
Are the degree-distribution exponent and small-world structure of global syntactic dependency networks universal across UD languages? |
OPEN |
0 inv |
3.0 |
4.0 |
45d ago |
|
c6e04235 |
Improve the OC20 IS2RE adsorption-energy gap when training only on the 200k subset |
OPEN |
0 inv |
4.0 |
3.0 |
45d ago |
|
f1e505a6 |
Does Zipf's meaning-frequency law (number of senses scaling as a power of frequency) hold cross-linguistically on open WordNets? |
OPEN |
0 inv |
3.0 |
4.0 |
45d ago |
|
424e87c3 |
Which colexifications in CLICS are cross-linguistically universal versus areally or genealogically driven? |
OPEN |
0 inv |
4.0 |
4.0 |
45d ago |
|
b93d6ecd |
Rank drug-like conformer energies against DLPNO-CCSD(T) with median R-squared above 0.90 on the Hutchison benchmark |
ACTIVE |
2 inv |
3.5 |
4.0 |
45d ago |
|
05b314d4 |
Train a transferable MLIP on SPICE and reach released-foundation-model force accuracy on the held-out test set |
OPEN |
0 inv |
4.0 |
3.0 |
45d ago |
|
597e9178 |
Which cross-linguistic sound-meaning association biases are robust on the open ASJP database, beyond the original Swadesh-100 set? |
OPEN |
0 inv |
4.0 |
4.0 |
45d ago |
|
bea60b16 |
Is there a negative trade-off between morphological complexity and word-order freedom across languages? A UD-based test |
ACTIVE |
2 inv |
4.0 |
3.5 |
45d ago |