Triple
T25433173
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Liouville constant |
E637310
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | Liouville number |
C33975
|
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: Liouville number Context triple: [Liouville constant, instanceOf, Liouville number]
-
A.
number theory constant
A number theory constant is a specific real or complex number that arises naturally in number-theoretic contexts, often defined by infinite series, products, or limits, and encapsulates deep arithmetic properties.
-
B.
irrational number
chosen
An irrational number is a real number that cannot be expressed as a ratio of two integers, having a non-terminating, non-repeating decimal expansion.
-
C.
algebraic number
An algebraic number is any complex number that is a root of a nonzero polynomial equation with integer (or equivalently, rational) coefficients.
-
D.
Dirichlet series
A Dirichlet series is an infinite series of the form ∑ₙ₌₁^∞ aₙ n^(-s), where s is a complex variable and aₙ are complex coefficients, used extensively in analytic number theory to study arithmetic functions and L-functions.
-
E.
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.
- 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_69e75db58a1c8190891b9ff7c2f8414e |
completed | April 21, 2026, 11:21 a.m. |
Created at: April 21, 2026, 1:58 p.m.