Triple
T26253928
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | E8 lattice |
E656669
|
entity |
| Predicate | isUniqueEvenUnimodularLatticeOfRank |
P160422
|
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, isUniqueEvenUnimodularLatticeOfRank, 8]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: isUniqueEvenUnimodularLatticeOfRank Context triple: [E8 lattice, isUniqueEvenUnimodularLatticeOfRank, 8]
-
A.
isNiemeierLatticeWithoutRoots
Indicates that a given Niemeier lattice has no root vectors, i.e., it is a Niemeier lattice whose root system is empty.
-
B.
isUnimodular
Indicates that a matrix (or linear transformation) has determinant ±1, preserving volume and invertibility over the integers.
-
C.
dimensionOfAssociatedLattice
Indicates the dimensionality (number of independent directions) of the lattice that is associated with a given object or structure.
-
D.
isUniqueUpToScaling
Indicates that one object is determined uniquely except for multiplication by a nonzero scalar factor.
-
E.
isDensestSpherePackingInDimension
Indicates that a given sphere packing configuration achieves the maximum possible density among all sphere packings in the specified dimension.
- F. None of above. chosen
Provenance (4 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_69f60dcc29cc81908880bd825cb12141 |
completed | May 2, 2026, 2:44 p.m. |
| PD | Predicate disambiguation | batch_69f5f7fd90fc81909055b211368f9139 |
completed | May 2, 2026, 1:11 p.m. |
| PDg | Predicate description generation | batch_69f600be0de88190989611e952b03117 |
completed | May 2, 2026, 1:48 p.m. |
Created at: April 26, 2026, 9:08 p.m.