Triple
T33535613
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | proof of the Milnor conjecture |
E858913
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | result in algebraic K-theory |
C37055
|
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 algebraic K-theory Context triple: [proof of the Milnor conjecture, instanceOf, result in algebraic K-theory]
-
A.
result in K-theory
chosen
A result in K-theory is a theorem or proposition describing how algebraic K-groups behave or relate to other invariants, often revealing deep structural or categorical properties of rings, schemes, or topological spaces.
-
B.
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.
-
C.
result in ring theory
A result in ring theory is a proven mathematical statement that describes properties, structures, or relationships involving rings and their associated algebraic objects.
-
D.
homological invariant
A homological invariant is a quantity or structure derived from homology theory that remains unchanged under specified transformations, used to distinguish and classify mathematical objects up to an appropriate notion of equivalence.
-
E.
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.
- 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_69f34978caf4819083f90eba4944d8e8 |
completed | April 30, 2026, 12:22 p.m. |
Created at: May 1, 2026, 1:39 a.m.