Triple
T22328751
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Calabi–Yau metric |
E551968
|
entity |
| Predicate | dimensionOfHolonomyGroup |
P63682
|
FINISHED |
| Object | n^2-1 |
—
|
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: n^2-1 | Statement: [Calabi–Yau metric, dimensionOfHolonomyGroup, n^2-1]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: dimensionOfHolonomyGroup Context triple: [Calabi–Yau metric, dimensionOfHolonomyGroup, n^2-1]
-
A.
dimensionAsLieGroup
Indicates the dimension of an entity when it is considered as a Lie group, i.e., the number of independent parameters defining the group manifold.
-
B.
isConformalGroupOf
Indicates that one entity is the conformal symmetry group associated with another entity, typically preserving angles and the conformal structure of that object or space.
-
C.
isMaximalSymmetryGroupOf
Indicates that a group represents the largest possible symmetry group for a given object or structure, such that no strictly larger symmetry group of that object exists containing it.
-
D.
hasLieAlgebraDimension
chosen
Indicates that an algebraic structure is associated with a Lie algebra having a specified vector-space dimension.
-
E.
hasLieAlgebra
Indicates that one mathematical structure is associated with, or gives rise to, a specific Lie algebra capturing its infinitesimal or tangent-level structure.
- 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_69e11e482f788190b78d1588fc26d606 |
completed | April 16, 2026, 5:37 p.m. |
| NER | Named-entity recognition | batch_69f15769fdb48190b84e0c019ab63579 |
completed | April 29, 2026, 12:57 a.m. |
| PD | Predicate disambiguation | batch_69e73004d9e88190bb862319a5aea06b |
completed | April 21, 2026, 8:06 a.m. |
Created at: April 16, 2026, 8:43 p.m.