Triple
T5338225
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Hardy–Ramanujan asymptotic formula |
E123877
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | result in number theory |
C6818
|
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 number theory Context triple: [Hardy–Ramanujan asymptotic formula, instanceOf, result in number theory]
-
A.
number theory work
chosen
A number theory work is a scholarly text or study focused on the properties, relationships, and structures of integers and related mathematical objects.
-
B.
conjecture in number theory
A conjecture in number theory is an unproven but plausibly true statement about the properties or relationships of integers, often motivated by patterns, partial results, or computational evidence.
-
C.
circle method
The circle method is an analytic number theory technique that uses integration over the unit circle in the complex plane to estimate the number of representations of integers by various arithmetic functions.
-
D.
result in representation theory
A result in representation theory is a proven statement describing how algebraic structures, such as groups or algebras, can be represented by linear transformations on vector spaces and how these representations behave or decompose.
-
E.
result in probability theory
In probability theory, a result is a formally stated and proven fact—such as a theorem, lemma, or corollary—that describes a property or relationship involving probabilistic concepts like random variables, events, or distributions.
- 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_69bd464b07f8819095aa76577c9829e4 |
completed | March 20, 2026, 1:06 p.m. |
Created at: March 20, 2026, 2 p.m.