Triple
T429535
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Whitney embedding theorem |
E9682
|
entity |
| Predicate | givesUpperBound |
P7032
|
FINISHED |
| Object | 2n for the embedding dimension of an n-dimensional smooth manifold |
—
|
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: 2n for the embedding dimension of an n-dimensional smooth manifold | Statement: [Whitney embedding theorem, givesUpperBound, 2n for the embedding dimension of an n-dimensional smooth manifold]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: givesUpperBound Context triple: [Whitney embedding theorem, givesUpperBound, 2n for the embedding dimension of an n-dimensional smooth manifold]
-
A.
isMaximumWhen
Indicates that a quantity or function reaches its greatest possible value under specified conditions or at a particular point.
-
B.
isLightestBoundStateOf
Indicates that one entity is the lowest-mass (lightest) bound state within the set of bound states associated with another entity.
-
C.
hasMaximumValue
Indicates that one value in a set is the greatest or highest possible according to a specified criterion.
-
D.
dimensionBoundType
chosen
Indicates the type or nature of the constraint that bounds a given dimension in a relationship.
-
E.
meetsAtLeast
Indicates that one entity encounters or comes into contact with another entity at least a specified minimum number of times or to a minimum required degree.
- 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_69a2e801e1d48190b505d1dd336b52ac |
completed | Feb. 28, 2026, 1:05 p.m. |
| NER | Named-entity recognition | batch_69a2eeedf68c81908473d6c6600961bd |
completed | Feb. 28, 2026, 1:34 p.m. |
| PD | Predicate disambiguation | batch_69a2edd7a3608190b8785c7b7205f6c1 |
completed | Feb. 28, 2026, 1:29 p.m. |
Created at: Feb. 28, 2026, 1:11 p.m.