Triple
T29565658
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Schoof–Elkies–Atkin (SEA) point-counting algorithm |
E753155
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | point-counting algorithm |
C48726
|
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: point-counting algorithm Context triple: [Schoof–Elkies–Atkin (SEA) point-counting algorithm, instanceOf, point-counting algorithm]
-
A.
algorithm in number theory
chosen
An algorithm in number theory is a finite, well-defined computational procedure designed to solve problems involving integers and their properties, such as divisibility, primality, and modular relationships.
-
B.
curve over the rational numbers
A curve over the rational numbers is an algebraic curve defined by polynomial equations with rational coefficients, considered together with its set of rational solutions and their arithmetic properties.
-
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.
counting technique
A counting technique is a systematic method used to determine the number of possible outcomes, arrangements, or selections in a given situation, often employing principles like addition, multiplication, permutations, and combinations.
-
E.
result in arithmetic geometry
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.
- 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_69f0ef7fcb4881908a933110adb9bda1 |
completed | April 28, 2026, 5:33 p.m. |
Created at: April 28, 2026, 5:52 p.m.