Triple
T31656
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Nash embedding theorem |
E631
|
entity |
| Predicate | dimensionBound |
P99
|
FINISHED |
| Object | gives explicit upper bounds on the Euclidean dimension needed for embedding |
—
|
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: gives explicit upper bounds on the Euclidean dimension needed for embedding | Statement: [Nash embedding theorem, dimensionBound, gives explicit upper bounds on the Euclidean dimension needed for embedding]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: dimensionBound Context triple: [Nash embedding theorem, dimensionBound, gives explicit upper bounds on the Euclidean dimension needed for embedding]
-
A.
length
Indicates a measurement relationship where a value specifies how long something is from one end to the other.
-
B.
hasLimitation
chosen
Indicates that an entity is subject to a constraint, restriction, or boundary that limits its scope, capability, or applicability.
-
C.
width
Indicates the measurement of how wide an entity is, typically the extent of its horizontal dimension from side to side.
-
D.
locatedBetween
Indicates that one entity is positioned spatially between two other reference entities.
-
E.
borderStraddling
Indicates that something (such as a feature, structure, or area) extends across and occupies territory on both sides of a border between two regions or jurisdictions.
- 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_69a2479dec388190967ba648663442c9 |
completed | Feb. 28, 2026, 1:40 a.m. |
| NER | Named-entity recognition | batch_69a249ec0d288190ac3a0939db61813b |
completed | Feb. 28, 2026, 1:50 a.m. |
| PD | Predicate disambiguation | batch_69a24870417081909c7c01e400c94716 |
completed | Feb. 28, 2026, 1:44 a.m. |
Created at: Feb. 28, 2026, 1:44 a.m.