Triple
T26253906
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | E8 lattice |
E656669
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | integral lattice |
C22011
|
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: integral lattice Context triple: [E8 lattice, instanceOf, integral lattice]
-
A.
even unimodular lattice
chosen
An even unimodular lattice is a free abelian group of finite rank equipped with a positive-definite symmetric bilinear form whose Gram matrix has determinant 1 and for which the squared length of every lattice vector is an even integer.
-
B.
24-dimensional lattice
A 24-dimensional lattice is a discrete, periodic arrangement of points in 24-dimensional Euclidean space generated by integer linear combinations of 24 independent basis vectors.
-
C.
algebraic number
An algebraic number is any complex number that is a root of a nonzero polynomial equation with integer (or equivalently, rational) coefficients.
-
D.
result in lattice theory
A result in lattice theory is a proven theorem or proposition that describes structural, order-theoretic, or algebraic properties of lattices and their related constructs.
-
E.
invariant under root lattice translations up to sign
A mathematical object (such as a function, form, or vector) that remains unchanged or changes only by an overall sign when its argument is shifted by any element of a given root lattice.
- 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_69ee5b4d25ac819086acb51184602576 |
completed | April 26, 2026, 6:37 p.m. |
Created at: April 26, 2026, 9:08 p.m.