Triple
T5338263
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Hardy–Ramanujan asymptotic formula |
E123877
|
entity |
| Predicate | hasAsymptoticNotation |
P61091
|
FINISHED |
| Object | p(n) \sim f(n) as n \to \infty |
—
|
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 f(n) as n \to \infty | Statement: [Hardy–Ramanujan asymptotic formula, hasAsymptoticNotation, p(n) \sim f(n) as n \to \infty]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: hasAsymptoticNotation Context triple: [Hardy–Ramanujan asymptotic formula, hasAsymptoticNotation, p(n) \sim f(n) as n \to \infty]
-
A.
offsetNotation
Indicates that one representation specifies how far and in what way another representation is shifted or displaced from a reference point or baseline.
-
B.
finiteAt
Indicates that a function, quantity, or value remains finite (not infinite or undefined) at a specified point or under a given condition.
-
C.
hasClosedForm
Indicates that a mathematical expression, function, or solution can be written in a finite, explicit form using a standard set of operations and well-known functions.
-
D.
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.
-
E.
holdsApproximatelyFor
chosen
Indicates that a condition, relation, or value is valid only to an approximate degree or within a tolerance, rather than holding exactly.
- 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.