Triple
T36468154
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Chebyshev’s estimates for π(x) |
E898473
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | bound on the prime-counting function |
C62681
|
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: bound on the prime-counting function Context triple: [Chebyshev’s estimates for π(x), instanceOf, bound on the prime-counting function]
-
A.
density for subsets of prime numbers
A density for subsets of prime numbers is a numerical measure that quantifies how frequently the primes in a given subset occur among all prime numbers as their size tends to infinity.
-
B.
method for estimating exponential sums
A method for estimating exponential sums is a mathematical technique that provides bounds or approximations for sums of complex exponentials, typically to analyze oscillatory behavior in number theory or harmonic analysis.
-
C.
result in probabilistic number theory
A result in probabilistic number theory is a theorem or statement that describes the typical or average behavior of arithmetic objects (such as integers, primes, or multiplicative functions) using probabilistic models and methods.
-
D.
arithmetical function
An arithmetical function is a function defined on the positive integers that assigns to each integer a (usually complex or real) value, often encoding number-theoretic properties such as divisors, primes, or multiplicative structure.
-
E.
inequality in number theory
chosen
Inequality in number theory is a conceptual class that studies relationships expressing that one number-theoretic quantity is greater or smaller than another, often to bound functions like divisor counts, prime distributions, or arithmetic functions.
- 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_69f76e58ebd88190b75d9b169b59d793 |
completed | May 3, 2026, 3:48 p.m. |
Created at: May 3, 2026, 4:10 p.m.