Triple
T32816497
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Kesten’s theorem on random walks on groups |
E839308
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | result in geometric group theory |
C30620
|
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: result in geometric group theory Context triple: [Kesten’s theorem on random walks on groups, instanceOf, result in geometric group theory]
-
A.
result in group theory
chosen
A result in group theory is a proven statement or theorem about the algebraic structure and properties of groups and their related constructs.
-
B.
collection of decision problems in group theory
A collection of decision problems in group theory is a conceptual class comprising questions that ask, for various groups and inputs, whether certain algebraic properties or relations hold, such as the word, conjugacy, or isomorphism problems.
-
C.
work in geometric topology
Work in geometric topology studies the properties and structures of spaces that are preserved under continuous deformations, focusing on the interplay between geometry and topology in shapes and manifolds.
-
D.
finitely generated group
A finitely generated group is a group for which there exists a finite set of elements such that every element of the group can be expressed as a finite product of these elements and their inverses.
-
E.
research program in geometry
A research program in geometry is a coordinated, long-term investigation that develops and applies geometric concepts, methods, and conjectures to systematically explore and solve interconnected mathematical problems.
- 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_69f3493df9008190a8f5d843dcd77704 |
completed | April 30, 2026, 12:21 p.m. |
Created at: May 1, 2026, 1:15 a.m.