Triple
T6800980
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Lagrange's four-square theorem |
E156185
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | result in additive number theory |
C21647
|
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 additive number theory Context triple: [Lagrange's four-square theorem, instanceOf, result in additive number theory]
-
A.
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.
-
B.
identity in analytic number theory
Identity in analytic number theory is a rigorously proven equality, often involving series, integrals, or arithmetic functions, that reveals structural relationships between number-theoretic objects and underpins analytic techniques such as transforms, convolutions, and explicit formulas.
-
C.
number theory work
A number theory work is a scholarly text or study focused on the properties, relationships, and structures of integers and related mathematical objects.
-
D.
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.
-
E.
concept in number theory
A concept in number theory is an abstract idea or construct that describes properties, relationships, or structures involving integers and related numerical systems.
- 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_69c68826e6a48190a3d220b541e639de |
completed | March 27, 2026, 1:37 p.m. |
Created at: March 27, 2026, 2:16 p.m.