Triple
T26253944
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | E8 lattice |
E656669
|
entity |
| Predicate | directSumWithE8AndD16Forms |
P171401
|
FINISHED |
| Object | Niemeier lattices |
—
|
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: Niemeier lattices | Statement: [E8 lattice, directSumWithE8AndD16Forms, Niemeier lattices]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: directSumWithE8AndD16Forms Context triple: [E8 lattice, directSumWithE8AndD16Forms, Niemeier lattices]
-
A.
isCompactRealFormOf
Indicates that one Lie group or Lie algebra is the compact real form corresponding to another (typically complex) Lie group or Lie algebra, sharing the same complexification.
-
B.
allFiniteDimensionalRepresentations
Indicates that the relationship concerns all representations of a given structure that act on finite-dimensional vector spaces.
-
C.
WhitneySumFormula
Indicates that the characteristic class (typically total Chern or Stiefel–Whitney class) of a direct sum of vector bundles equals the cup-product of the characteristic classes of the individual bundles.
-
D.
isUniqueEvenUnimodularLatticeOfRank
Indicates that the subject is the only even unimodular lattice (up to isomorphism) having the specified rank.
-
E.
isSupersymmetricExtensionOf
Indicates that one theory, model, or structure is a supersymmetric generalization or enlargement of another, obtained by adding supersymmetry while preserving the original as a limiting or embedded case.
- 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_69f69f80b62c8190bf2af2be0d3a7df8 |
completed | May 3, 2026, 1:06 a.m. |
| PD | Predicate disambiguation | batch_69f69d17e8d48190b30bcc2f4bd81eb2 |
completed | May 3, 2026, 12:55 a.m. |
| PDg | Predicate description generation | batch_69f69edae2448190925ce701c8792c52 |
completed | May 3, 2026, 1:03 a.m. |
Created at: April 26, 2026, 9:08 p.m.