Triple
T5338240
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Hardy–Ramanujan asymptotic formula |
E123877
|
entity |
| Predicate | mainExpression |
P12675
|
FINISHED |
| Object | p(n) \sim \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: p(n) \sim \frac{1}{4n\sqrt{3}} e^{\pi \sqrt{2n/3}} | Statement: [Hardy–Ramanujan asymptotic formula, mainExpression, p(n) \sim \frac{1}{4n\sqrt{3}} e^{\pi \sqrt{2n/3}}]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: mainExpression
Context triple: [Hardy–Ramanujan asymptotic formula, mainExpression, p(n) \sim \frac{1}{4n\sqrt{3}} e^{\pi \sqrt{2n/3}}]
-
A.
entersExpression
Indicates that one entity moves into, penetrates, or passes through another entity or defined space.
-
B.
hasExpression
Indicates that an entity displays or possesses a particular facial or emotional expression.
-
C.
isPartOfExpression
Indicates that something functions as a component or constituent element within a larger expression.
-
D.
mathematicallyExpressedBy
chosen
Indicates that something (such as a concept, quantity, or relationship) is represented or captured using a specific mathematical expression or formulation.
-
E.
mainArgument
Indicates that one entity serves as the primary or central argument, claim, or point being made in relation to another entity (such as a text, speech, or discussion).
- 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_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. |
Created at: March 20, 2026, 2 p.m.