Triple
T23737503
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Catalan numbers |
E586576
|
entity |
| Predicate | asymptoticGrowth |
P91243
|
FINISHED |
| Object | C_n ~ 4^n / (n^{3/2} * sqrt(pi)) |
—
|
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: C_n ~ 4^n / (n^{3/2} * sqrt(pi)) | Statement: [Catalan numbers, asymptoticGrowth, C_n ~ 4^n / (n^{3/2} * sqrt(pi))]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: asymptoticGrowth
Context triple: [Catalan numbers, asymptoticGrowth, C_n ~ 4^n / (n^{3/2} * sqrt(pi))]
-
A.
hasAsymptotics
chosen
Indicates that one entity describes or determines the asymptotic behavior or growth rate of another entity, typically in a limiting or large-scale sense.
-
B.
asymptoticDistribution
Indicates that one quantity’s probability distribution approaches another distribution as some parameter (such as sample size) grows without bound.
-
C.
hasAsymptoticExpansion
Indicates that one mathematical object serves as the asymptotic expansion approximating another object in a specified limit or regime.
-
D.
timeComplexity
Indicates the computational growth rate of an algorithm’s resource usage (typically time) as a function of input size.
-
E.
isFastGrowing
Indicates that an entity increases in size, quantity, or impact at a rapid or above-average rate over time.
- 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_69e24907dc9c8190be074c9c96a0ec2d |
completed | April 17, 2026, 2:51 p.m. |
| NER | Named-entity recognition | batch_69f1bad356c88190ae29ce403145ee73 |
completed | April 29, 2026, 8:01 a.m. |
| PD | Predicate disambiguation | batch_69f155f012808190a4b1cbc155558ade |
completed | April 29, 2026, 12:50 a.m. |
Created at: April 17, 2026, 7:11 p.m.