Triple
T31023784
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Siegel's theorem on integral points |
E790515
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | result in Diophantine geometry |
C24993
|
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: result in Diophantine geometry Context triple: [Siegel's theorem on integral points, instanceOf, result in Diophantine geometry]
-
A.
technique in Diophantine geometry
A technique in Diophantine geometry is a systematic method or tool—often combining algebraic, geometric, and arithmetic ideas—used to study and solve equations with integer or rational solutions on algebraic varieties.
-
B.
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.
-
C.
result in arithmetic geometry
chosen
A result in arithmetic geometry is a theorem or proposition that connects number-theoretic properties of solutions to polynomial equations with the geometric structure of the varieties they define over arithmetic fields.
-
D.
result in metric Diophantine approximation
A result in metric Diophantine approximation is a theorem that describes how well almost all real numbers (with respect to a given measure) can be approximated by rationals or other structured sets, typically quantifying the size or frequency of exceptional sets.
-
E.
Diophantine equation
A Diophantine equation is a polynomial equation, typically with integer coefficients, for which only integer (or sometimes rational) solutions are sought.
- F. None of above.
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_69f224c811508190a7de096a5b1f5798 |
completed | April 29, 2026, 3:33 p.m. |
Created at: April 29, 2026, 8:58 p.m.