Triple
T2408382
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Klein quartic |
E50328
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | projective algebraic curve |
C3714
|
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: projective algebraic curve Context triple: [Klein quartic, instanceOf, projective algebraic curve]
-
A.
problem in invariant theory
A problem in invariant theory concerns determining and characterizing the algebraic functions (invariants) that remain unchanged under the action of a given group on a vector space or algebraic variety.
-
B.
mathematical object
A mathematical object is an abstract entity, such as a number, function, set, or space, defined by precise properties and relations within a formal mathematical system.
-
C.
geometric object
chosen
A geometric object is an abstract entity defined by points, lines, surfaces, or volumes in space, characterized by properties such as shape, size, position, and orientation.
-
D.
mathematical structure
A mathematical structure is a set (or collection of objects) equipped with specified operations, relations, or properties that satisfy given axioms, providing a framework for studying abstract patterns and relationships.
-
E.
vector space
A vector space is a set of objects called vectors, equipped with operations of vector addition and scalar multiplication that satisfy specific axioms such as associativity, commutativity, distributivity, and the existence of additive identities and inverses.
- 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_69a88b0339a88190a1207333cd271cc9 |
completed | March 4, 2026, 7:41 p.m. |
Created at: March 4, 2026, 7:58 p.m.