Triple

T15502598
Position Surface form Disambiguated ID Type / Status
Subject Khinchin–Pollaczek formula E378997 entity
Predicate relatedTo P37 FINISHED
Object Pollaczek–Khinchine formula E378997 NE 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: Pollaczek–Khinchine formula | Statement: [Khinchin–Pollaczek formula, relatedTo, Pollaczek–Khinchine formula]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07 
Target entity: Pollaczek–Khinchine formula
Context triple: [Khinchin–Pollaczek formula, relatedTo, Pollaczek–Khinchine formula]
  • A. Khinchin–Pollaczek formula chosen
    The Khinchin–Pollaczek formula is a result in probability theory and queueing theory that provides an explicit expression for the stationary waiting-time distribution in certain single-server queues.
  • B. Queueing Systems, Volume 1: Theory
    Queueing Systems, Volume 1: Theory is a foundational textbook by Leonard Kleinrock that rigorously develops the mathematical theory of queueing processes and their applications in communication and computer systems.
  • C. Cramér–Lundberg model in risk theory
    The Cramér–Lundberg model in risk theory is a classical stochastic model used in actuarial science to describe an insurer’s surplus over time, analyzing ruin probabilities based on premium income and random claim arrivals.
  • D. Feynman–Kac formula
    The Feynman–Kac formula is a fundamental result connecting solutions of certain partial differential equations with expectations over stochastic processes, forming a bridge between quantum mechanics, probability theory, and mathematical finance.
  • E. Clark–Ocone formula
    The Clark–Ocone formula is a key result in stochastic calculus and Malliavin calculus that provides an explicit integral representation of square-integrable random variables with respect to Brownian motion.
  • F. None of above.
  • G. Unsure - the case is ambiguous/there is not enough information to decide.

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_69d85cd53a7c819080f5b9042c4c199e completed April 10, 2026, 2:13 a.m.
NER Named-entity recognition batch_69e03fcc5bb88190b8a9a81419a9a38b completed April 16, 2026, 1:47 a.m.
NED1 Entity disambiguation (via context triple) batch_69ff3669f908819087162b1b8a4e4320 completed May 9, 2026, 1:28 p.m.
Created at: April 10, 2026, 3:54 a.m.