Triple
T38437976
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Hurwitz numbers |
E904001
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | object of moduli theory |
C64188
|
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: object of moduli theory Context triple: [Hurwitz numbers, instanceOf, object of moduli theory]
-
A.
object of arithmetic geometry
An object of arithmetic geometry is a mathematical structure, such as a scheme or variety, studied simultaneously with its geometric properties and its arithmetic behavior over number-theoretic base rings or fields.
-
B.
object of enumerative geometry
chosen
An object of enumerative geometry is a geometric configuration (such as curves, surfaces, or higher-dimensional varieties) counted according to specified incidence or intersection conditions within an ambient space.
-
C.
object of algebraic number theory
An object of algebraic number theory is a mathematical structure—such as a number field, ring of integers, ideal, or Galois group—studied to understand the arithmetic and algebraic properties of algebraic numbers and their extensions.
-
D.
geodesic in moduli space
A geodesic in moduli space is the locally length-minimizing path (with respect to a chosen natural metric, such as the Weil–Petersson metric) that describes the most efficient deformation of complex structures or geometric data between two points in the moduli space.
-
E.
object in invariant theory
An object in invariant theory is a mathematical entity, such as a vector space, polynomial ring, or group action, whose structure and symmetries are studied through the functions or quantities that remain unchanged under a specified group of transformations.
- 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_69f76e6a2024819081aa04f4932f89d2 |
completed | May 3, 2026, 3:48 p.m. |
Created at: May 3, 2026, 4:31 p.m.