Triple

T23737546
Position Surface form Disambiguated ID Type / Status
Subject Bell numbers E586577 entity
Predicate exponentialGeneratingFunction P90300 FINISHED
Object \sum_{n=0}^{\infty} B_n \frac{x^n}{n!} = e^{e^x - 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=0}^{\infty} B_n \frac{x^n}{n!} = e^{e^x - 1} | Statement: [Bell numbers, exponentialGeneratingFunction, \sum_{n=0}^{\infty} B_n \frac{x^n}{n!} = e^{e^x - 1}]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: exponentialGeneratingFunction
Context triple: [Bell numbers, exponentialGeneratingFunction, \sum_{n=0}^{\infty} B_n \frac{x^n}{n!} = e^{e^x - 1}]
  • A. probabilityGeneratingFunction
    Indicates a relationship where a random variable or distribution is mapped to its probability generating function, which encodes the probabilities of its discrete outcomes into a single analytic expression.
  • B. hasAsymptoticExpansion
    Indicates that one mathematical object serves as the asymptotic expansion approximating another object in a specified limit or regime.
  • C. hasSeriesExpansion chosen
    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.
  • D. baseOfExponentialTerm
    Indicates that one quantity serves as the base in an exponential expression or term involving another quantity as the exponent.
  • E. isExponentialDistribution
    Indicates that a given random variable or dataset follows an exponential probability distribution, typically characterized by a constant hazard rate and memoryless property.
  • 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_69e24907dc9c8190be074c9c96a0ec2d completed April 17, 2026, 2:51 p.m.
NER Named-entity recognition batch_69f1bad356c88190ae29ce403145ee73 completed April 29, 2026, 8:01 a.m.
PD Predicate disambiguation batch_69f155f012808190a4b1cbc155558ade completed April 29, 2026, 12:50 a.m.
Created at: April 17, 2026, 7:11 p.m.