Triple
T10807915
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Perelman’s entropy functionals |
E255016
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | tool in Ricci flow theory |
C10054
|
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: tool in Ricci flow theory Context triple: [Perelman’s entropy functionals, instanceOf, tool in Ricci flow theory]
-
A.
tool in geometric analysis
chosen
A tool in geometric analysis is a mathematical method, concept, or construction used to study and characterize the geometric and analytic properties of spaces, shapes, and mappings.
-
B.
tool in general relativity
A tool in general relativity is any mathematical, conceptual, or computational method used to formulate, analyze, or solve problems involving the curvature of spacetime and its interaction with matter and energy.
-
C.
tool in dynamical systems theory
A tool in dynamical systems theory is a conceptual or computational method—such as phase portraits, Lyapunov functions, or Poincaré maps—used to analyze, visualize, and understand the qualitative and quantitative behavior of dynamical systems over time.
-
D.
tool in category theory
A tool in category theory is a conceptual or formal construct—such as functors, natural transformations, limits, or adjunctions—used to analyze, relate, and systematically reason about mathematical structures and their morphisms within the categorical framework.
-
E.
Green’s function in Euclidean space
A Green’s function in Euclidean space is a fundamental solution to a linear differential operator that represents the response at one point due to a unit source located at another point, enabling the construction of solutions to boundary value problems via superposition.
- 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_69d6aa61c15c8190a1839550c56e75e1 |
completed | April 8, 2026, 7:20 p.m. |
Created at: April 8, 2026, 9:18 p.m.