Triple
T26345291
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | quartic reciprocity law |
E662764
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | number-theoretic reciprocity law |
C45282
|
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: number-theoretic reciprocity law Context triple: [quartic reciprocity law, instanceOf, number-theoretic reciprocity law]
-
A.
theory in algebraic number theory
chosen
A theory in algebraic number theory is a coherent framework of definitions, structures, and results that explains and predicts arithmetic properties of algebraic numbers and related objects such as number fields, ideals, and Galois groups.
-
B.
algebraic number
An algebraic number is any complex number that is a root of a nonzero polynomial equation with integer (or equivalently, rational) coefficients.
-
C.
algebraic number field
An algebraic number field is a finite field extension of the rational numbers, obtained by adjoining to ℚ a root of a nonzero polynomial with rational (or integer) coefficients.
-
D.
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.
-
E.
algorithm in number theory
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.
- 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_69ee81304194819092e20e0fae3aee07 |
completed | April 26, 2026, 9:18 p.m. |
Created at: April 26, 2026, 10:41 p.m.