Triple
T26253943
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | E8 lattice |
E656669
|
entity |
| Predicate | directSumWithItselfForms |
P103047
|
FINISHED |
| Object | E8⊕E8 lattice |
—
|
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: E8⊕E8 lattice | Statement: [E8 lattice, directSumWithItselfForms, E8⊕E8 lattice]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: directSumWithItselfForms Context triple: [E8 lattice, directSumWithItselfForms, E8⊕E8 lattice]
-
A.
isSelfDual
Indicates that an entity is equivalent to its own dual under the relevant duality operation.
-
B.
isSumOf
chosen
Indicates that one quantity is the result of adding together two or more other quantities.
-
C.
isSemidirectProductOf
Indicates that a group is constructed as a semidirect product of two subgroups, where one subgroup acts on the other via automorphisms in a way that generalizes the direct product.
-
D.
isComplexificationOf
Indicates that one entity is a more complex or elaborated version derived from another, simpler entity.
-
E.
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.
- 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_69f6978fe97081908fe568091ad9b159 |
completed | May 3, 2026, 12:32 a.m. |
| PD | Predicate disambiguation | batch_69f69661e6ec8190948251c7516a32ad |
completed | May 3, 2026, 12:27 a.m. |
Created at: April 26, 2026, 9:08 p.m.