Triple
T22423242
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Erdős–Stone theorem |
E554300
|
entity |
| Predicate | givesAsymptoticsFor |
P91243
|
FINISHED |
| Object | extremal function ex(n,H) |
—
|
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: extremal function ex(n,H) | Statement: [Erdős–Stone theorem, givesAsymptoticsFor, extremal function ex(n,H)]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: givesAsymptoticsFor Context triple: [Erdős–Stone theorem, givesAsymptoticsFor, extremal function ex(n,H)]
-
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.
hasAsymptoticExpansion
Indicates that one mathematical object serves as the asymptotic expansion approximating another object in a specified limit or regime.
-
C.
canBeAnalyticallyContinuedTo
Indicates that one mathematical object (typically a function) can be extended beyond its original domain in a consistent, analytic way that preserves its defining properties.
-
D.
hasSeriesExpansion
Indicates that a mathematical function or expression is associated with a specific series representation (such as a Taylor or power series) that expands it around a point or region.
-
E.
extremalFunction
Indicates that a function attains an extreme value (such as a minimum or maximum) under given conditions or over a specified domain.
- 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_69e11e4f2d0c819091aa3558ea2ee630 |
completed | April 16, 2026, 5:37 p.m. |
| NER | Named-entity recognition | batch_69f15a2af620819083338127e78137dc |
completed | April 29, 2026, 1:08 a.m. |
| PD | Predicate disambiguation | batch_69e8989495bc81909d2699fce5992e28 |
completed | April 22, 2026, 9:44 a.m. |
Created at: April 16, 2026, 8:47 p.m.