Triple
T19532095
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Hamming bound |
E488680
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | sphere-packing bound |
C21319
|
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: sphere-packing bound Context triple: [Hamming bound, instanceOf, sphere-packing bound]
-
A.
circle method
The circle method is an analytic number theory technique that uses integration over the unit circle in the complex plane to estimate the number of representations of integers by various arithmetic functions.
-
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.
bound volume
A bound volume is a collection of written or printed pages that are fastened together along one edge and enclosed within a protective cover to form a single physical book-like unit.
-
D.
statistical bound
chosen
A statistical bound is a theoretical limit that constrains how large or small a statistical quantity (such as an estimator’s error, a probability, or a risk) can be under specified assumptions.
-
E.
even unimodular lattice
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.
- 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_69d8e8db5b6c8190984b61f91981f575 |
completed | April 10, 2026, 12:11 p.m. |
Created at: April 10, 2026, 1:41 p.m.