Triple
T5338241
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Hardy–Ramanujan asymptotic formula |
E123877
|
entity |
| Predicate | givesLeadingTerm |
P63069
|
FINISHED |
| Object | \frac{1}{4n\sqrt{3}} e^{\pi \sqrt{2n/3}} |
—
|
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: \frac{1}{4n\sqrt{3}} e^{\pi \sqrt{2n/3}} | Statement: [Hardy–Ramanujan asymptotic formula, givesLeadingTerm, \frac{1}{4n\sqrt{3}} e^{\pi \sqrt{2n/3}}]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: givesLeadingTerm
Context triple: [Hardy–Ramanujan asymptotic formula, givesLeadingTerm, \frac{1}{4n\sqrt{3}} e^{\pi \sqrt{2n/3}}]
-
A.
firstCoefficientProperty
Indicates a property or characteristic specifically associated with the first coefficient in a mathematical or algebraic expression.
-
B.
errorTermOrder
Indicates the ordering or sequence in which error terms are arranged or considered relative to one another.
-
C.
hasFirstTerm
Indicates that an entity is associated with a specific first term in an ordered sequence, period, or series.
-
D.
hasDerivativeTerm
Indicates that one term is derived or obtained from another term, typically through a transformation, calculation, or logical inference.
-
E.
firstTerms
Indicates that the related entities are the initial elements or starting terms in a sequence, series, or ordered collection.
- F. None of above. chosen
Provenance (4 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_69bd464b07f8819095aa76577c9829e4 |
completed | March 20, 2026, 1:06 p.m. |
| NER | Named-entity recognition | batch_69bd85e86edc81908d87933db6489f91 |
completed | March 20, 2026, 5:37 p.m. |
| PD | Predicate disambiguation | batch_69bd845a62b081909782863865b257a9 |
completed | March 20, 2026, 5:31 p.m. |
| PDg | Predicate description generation | batch_69bd85e69e808190b29548670fd2900a |
completed | March 20, 2026, 5:37 p.m. |
Created at: March 20, 2026, 2 p.m.