Triple
T26971285
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Hopf conjecture (on Euler characteristic and curvature) |
E679323
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | open problem in differential geometry |
C48062
|
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: open problem in differential geometry Context triple: [Hopf conjecture (on Euler characteristic and curvature), instanceOf, open problem in differential geometry]
-
A.
problem in differential geometry
chosen
A problem in differential geometry involves analyzing and solving questions about the properties of curves, surfaces, and higher-dimensional manifolds using tools from calculus, linear algebra, and topology.
-
B.
open problem in graph theory
An open problem in graph theory is a well-defined question about graphs whose truth or solution is currently unknown and remains an active subject of mathematical research.
-
C.
theory in differential topology
A theory in differential topology is a coherent framework of concepts, theorems, and techniques that studies the properties of smooth manifolds and smooth maps between them that are invariant under smooth deformations.
-
D.
open problem in combinatorics
An open problem in combinatorics is an unsolved question about discrete structures or counting principles whose resolution remains unknown despite significant mathematical investigation.
-
E.
result in complex differential geometry
A result in complex differential geometry is a proven theorem or proposition that describes how geometric structures on complex manifolds behave under conditions involving both complex-analytic and differential properties.
- 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_69eeeb507a7081909d516e1fa08b7d29 |
completed | April 27, 2026, 4:51 a.m. |
Created at: April 27, 2026, 6:39 a.m.