Triple
T29968997
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Positivstellensatz |
E761266
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | result in real algebraic geometry |
C56598
|
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 real algebraic geometry Context triple: [Positivstellensatz, instanceOf, result in real algebraic geometry]
-
A.
real algebra
Real algebra is the branch of mathematics that studies algebraic structures and equations defined over the real numbers, including their properties, operations, and relationships.
-
B.
area of algebraic geometry
An area of algebraic geometry is a subfield focused on a specific collection of problems, techniques, and structures related to the study of solutions to polynomial equations and their geometric properties.
-
C.
algebraic variety
An algebraic variety is a geometric object defined as the set of common solutions to a system of polynomial equations over a field, studied up to algebraic and topological properties.
-
D.
work in algebraic geometry
Work in algebraic geometry studies geometric objects defined as solution sets to polynomial equations, using tools from commutative algebra and topology to understand their structure, classification, and morphisms between them.
-
E.
result in arithmetic geometry
A result in arithmetic geometry is a theorem or proposition that connects number-theoretic properties of solutions to polynomial equations with the geometric structure of the varieties they define over arithmetic fields.
- F. None of above. chosen
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_69f22467626081908d5afea489590e96 |
completed | April 29, 2026, 3:31 p.m. |
Created at: April 29, 2026, 6:31 p.m.