Triple
T26253942
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | E8 lattice |
E656669
|
entity |
| Predicate | isEvenUnimodularPositiveDefiniteOfRankLessThan |
P160421
|
FINISHED |
| Object | 24 |
—
|
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: 24 | Statement: [E8 lattice, isEvenUnimodularPositiveDefiniteOfRankLessThan, 24]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: isEvenUnimodularPositiveDefiniteOfRankLessThan Context triple: [E8 lattice, isEvenUnimodularPositiveDefiniteOfRankLessThan, 24]
-
A.
isEvenUnimodular
chosen
Indicates that a lattice is both even (all vector norms are even integers) and unimodular (has determinant ±1, i.e., is self-dual).
-
B.
isUniqueEvenUnimodularLatticeOfRank
Indicates that the subject is the only even unimodular lattice (up to isomorphism) having the specified rank.
-
C.
isUnimodular
Indicates that a matrix (or linear transformation) has determinant ±1, preserving volume and invertibility over the integers.
-
D.
isPositiveSemidefinite
Indicates that a matrix or operator has all non-negative eigenvalues, meaning all quadratic forms it defines are greater than or equal to zero.
-
E.
isNiemeierLatticeWithoutRoots
Indicates that a given Niemeier lattice has no root vectors, i.e., it is a Niemeier lattice whose root system is empty.
- 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_69f602d2ec748190ae95154f34c7878f |
completed | May 2, 2026, 1:57 p.m. |
Created at: April 26, 2026, 9:08 p.m.