Triple
T26253941
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | E8 lattice |
E656669
|
entity |
| Predicate | isRootLatticeOf |
P77192
|
FINISHED |
| Object | E8 Lie algebra |
—
|
NE NERFINISHED |
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: E8 Lie algebra | Statement: [E8 lattice, isRootLatticeOf, E8 Lie algebra]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: isRootLatticeOf Context triple: [E8 lattice, isRootLatticeOf, E8 Lie algebra]
-
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.
isLatticeIn
chosen
Indicates that one structure forms a lattice within, or relative to, another structure or context.
-
C.
dimensionOfAssociatedLattice
Indicates the dimensionality (number of independent directions) of the lattice that is associated with a given object or structure.
-
D.
isRootOf
Indicates that one entity is the root or origin point from which another entity directly or indirectly descends or is derived.
-
E.
isCoxeterGroup
Indicates that the given group satisfies the defining relations of a Coxeter group, i.e., it is generated by reflections with relations of the form \((s_is_j)^{m_{ij}} = e\) for specified integers \(m_{ij}\).
- 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_69f60dcc29cc81908880bd825cb12141 |
completed | May 2, 2026, 2:44 p.m. |
| PD | Predicate disambiguation | batch_69f5f7ff548c8190a23e98c5e66e0bc7 |
completed | May 2, 2026, 1:11 p.m. |
Created at: April 26, 2026, 9:08 p.m.