Triple
T26253927
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | E8 lattice |
E656669
|
entity |
| Predicate | givesOptimalSpherePackingInDimension |
P77159
|
FINISHED |
| Object | 8 |
—
|
LITERAL FINISHED |
How this triple was built (2 steps)
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.
NER
Named-entity recognition
gpt-5-mini
Instruction
Given a phrase, classify it is english named entity (e.g., persons, organizations, works of art) in Latin script, or not (e.g., literals, dates, URLs, verbose phrases). For disambiguation, the statement where the phrase occurs as object is also given. Please return a JSON object with `phrase` (string, the phrase being analyzed) and `is_ne` (boolean, indicating whether the phrase is a Named Entity).
Input
Phrase: 8 | Statement: [E8 lattice, givesOptimalSpherePackingInDimension, 8]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: givesOptimalSpherePackingInDimension Context triple: [E8 lattice, givesOptimalSpherePackingInDimension, 8]
-
A.
isDensestSpherePackingInDimension
chosen
Indicates that a given sphere packing configuration achieves the maximum possible density among all sphere packings in the specified dimension.
-
B.
spherePackingDensity
Indicates the proportion of space filled by spheres within a given packing arrangement, relative to the total available volume.
-
C.
numberOfSpheres
Indicates the quantity of spheres associated with or contained by a given entity.
-
D.
dimensionAsVectorSpaceOverℚ
Indicates that the dimension of a given vector space is being considered specifically as a vector space over the field of rational numbers ℚ.
-
E.
სფერო
Indicates a general field, domain, or area within which something operates, applies, or is categorized.
- F. None of above.
Provenance (3 batches)
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. |
| NER | Named-entity recognition | batch_69f621fcea1481909b6f8b3af1ee6820 |
completed | May 2, 2026, 4:10 p.m. |
| PD | Predicate disambiguation | batch_69f620debeb48190b7db395fb86cf8d9 |
completed | May 2, 2026, 4:05 p.m. |
Created at: April 26, 2026, 9:08 p.m.