Triple
T5338257
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Hardy–Ramanujan asymptotic formula |
E123877
|
entity |
| Predicate | usesGeneratingFunction |
P46242
|
FINISHED |
| Object | \sum_{n \ge 0} p(n) q^n = \prod_{m \ge 1} (1 - q^m)^{-1} |
—
|
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: \sum_{n \ge 0} p(n) q^n = \prod_{m \ge 1} (1 - q^m)^{-1} | Statement: [Hardy–Ramanujan asymptotic formula, usesGeneratingFunction, \sum_{n \ge 0} p(n) q^n = \prod_{m \ge 1} (1 - q^m)^{-1}]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: usesGeneratingFunction
Context triple: [Hardy–Ramanujan asymptotic formula, usesGeneratingFunction, \sum_{n \ge 0} p(n) q^n = \prod_{m \ge 1} (1 - q^m)^{-1}]
-
A.
hasGeneratingFunction
chosen
Indicates that one entity serves as the generating function associated with, or defining, another entity.
-
B.
usesFunction
Indicates that one entity employs, invokes, or relies on a particular function to perform an operation or achieve a result.
-
C.
usesComputationMethod
Indicates that an entity performs its processing or decision-making by applying a specified computational method or algorithm.
-
D.
isUsedToCompute
Indicates that one entity serves as an input, basis, or resource for performing a calculation or deriving a result about another entity.
-
E.
generators
Indicates that one entity produces, creates, or brings about another entity or outcome, typically as its source or origin.
- 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.