Triple
T32789375
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | H10 |
E838585
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | Hilbert's tenth problem |
C58674
|
CONCEPT FINISHED |
How this triple was built (1 step)
Every LLM step that produced this triple, in pipeline order — named-entity classification, the disambiguation choices (the exact options shown, with the pick highlighted), and the generated description. The batch + timestamp of each is in the Provenance table below.
CD
Concept disambiguation
gpt-5-mini-2025-08-07
Target class: Hilbert's tenth problem Context triple: [H10, instanceOf, Hilbert's tenth problem]
-
A.
Diophantine equation
A Diophantine equation is a polynomial equation, typically with integer coefficients, for which only integer (or sometimes rational) solutions are sought.
-
B.
Gröbner basis algorithm
A Gröbner basis algorithm is a computational procedure that transforms a set of multivariate polynomials into a special generating set (a Gröbner basis) that simplifies solving and analyzing polynomial ideal problems such as solving systems of equations, ideal membership, and elimination.
-
C.
exponential Diophantine equation
An exponential Diophantine equation is an equation involving integer variables that appear as exponents, for which only integer solutions are sought.
-
D.
result in Diophantine approximation
A result in Diophantine approximation is a theorem or bound that quantifies how closely real numbers can be approximated by rationals (or algebraic numbers) in terms of the size of their denominators or heights.
-
E.
collection of decision problems in group theory
A collection of decision problems in group theory is a conceptual class comprising questions that ask, for various groups and inputs, whether certain algebraic properties or relations hold, such as the word, conjugacy, or isomorphism problems.
- F. None of above. chosen
Provenance (1 batch)
The batch behind each pipeline step, in order, with when it ran. Timestamps are batch-level — stages were processed in waves, so the object chain (NER → NED1 → NEDg → NED2) reads in order, but predicate / elicitation batches can sit in a different wave.
| Step | Stage | Batch ID | Status | When |
|---|---|---|---|---|
| creating | Elicitation | batch_69f3493b83f48190be335cd42465cecf |
completed | April 30, 2026, 12:21 p.m. |
Created at: May 1, 2026, 1:14 a.m.