Triple

T15736634
Position Surface form Disambiguated ID Type / Status
Subject Boris Gnedenko E381488 entity
Predicate knownFor P22 FINISHED
Object Gnedenko’s theorem in extreme value theory
Gnedenko’s theorem in extreme value theory is a fundamental result that characterizes all possible non-degenerate limit distributions for properly normalized maxima of independent, identically distributed random variables, forming the basis of modern extreme value analysis.
E1173538 NE FINISHED

How this triple was built (4 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: Gnedenko’s theorem in extreme value theory | Statement: [Boris Gnedenko, knownFor, Gnedenko’s theorem in extreme value theory]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Gnedenko’s theorem in extreme value theory
Context triple: [Boris Gnedenko, knownFor, Gnedenko’s theorem in extreme value theory]
  • A. Kolmogorov's law of the iterated logarithm
    Kolmogorov's law of the iterated logarithm is a fundamental result in probability theory that precisely characterizes the almost-sure fluctuations of partial sums of independent random variables between the law of large numbers and the central limit theorem.
  • B. Cramér’s theorem in large deviations
    Cramér’s theorem in large deviations is a fundamental result in probability theory that characterizes the exponential decay rate of tail probabilities for sums of independent, identically distributed random variables via a convex rate function.
  • C. Modern Probability Theory and Its Applications
    "Modern Probability Theory and Its Applications" is a foundational textbook by Emanuel Parzen that systematically develops modern probability theory and demonstrates its use in a wide range of statistical and applied contexts.
  • D. Limit Laws for Sums of Independent Random Variables
    Limit Laws for Sums of Independent Random Variables is a foundational mathematical work that systematically develops the theory of probability limit theorems, including results such as the law of large numbers and central limit behavior for sums of independent random variables.
  • E. Khinchin's law of the iterated logarithm
    Khinchin's law of the iterated logarithm is a fundamental result in probability theory that precisely characterizes the almost-sure fluctuations of partial sums of independent random variables on the scale of the square root of twice the product of their variance and the iterated logarithm of the sample size.
  • F. None of above. chosen
  • G. Unsure - the case is ambiguous/there is not enough information to decide.
NEDg Description generation gpt-5.1
Instruction
Generate a one-sentence description of the target entity. 
You are given a context triple in the form (subject, predicate, object), where the object is the target entity. 
# Instructions
Use the triple to infer relevant information about the entity. Describe the entity based on what is most defining, well-known. 
Avoid repeating the information from the triple, unless really essential.
# Response Format
Return only the sentence: "Description: [one-sentence description of the target entity]"
Input
Entity: Gnedenko’s theorem in extreme value theory
Triple: [Boris Gnedenko, knownFor, Gnedenko’s theorem in extreme value theory]
Generated description
Gnedenko’s theorem in extreme value theory is a fundamental result that characterizes all possible non-degenerate limit distributions for properly normalized maxima of independent, identically distributed random variables, forming the basis of modern extreme value analysis.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Gnedenko’s theorem in extreme value theory
Target entity description: Gnedenko’s theorem in extreme value theory is a fundamental result that characterizes all possible non-degenerate limit distributions for properly normalized maxima of independent, identically distributed random variables, forming the basis of modern extreme value analysis.
  • A. Kolmogorov's law of the iterated logarithm
    Kolmogorov's law of the iterated logarithm is a fundamental result in probability theory that precisely characterizes the almost-sure fluctuations of partial sums of independent random variables between the law of large numbers and the central limit theorem.
  • B. Cramér’s theorem in large deviations
    Cramér’s theorem in large deviations is a fundamental result in probability theory that characterizes the exponential decay rate of tail probabilities for sums of independent, identically distributed random variables via a convex rate function.
  • C. Modern Probability Theory and Its Applications
    "Modern Probability Theory and Its Applications" is a foundational textbook by Emanuel Parzen that systematically develops modern probability theory and demonstrates its use in a wide range of statistical and applied contexts.
  • D. Limit Laws for Sums of Independent Random Variables
    Limit Laws for Sums of Independent Random Variables is a foundational mathematical work that systematically develops the theory of probability limit theorems, including results such as the law of large numbers and central limit behavior for sums of independent random variables.
  • E. Khinchin's law of the iterated logarithm
    Khinchin's law of the iterated logarithm is a fundamental result in probability theory that precisely characterizes the almost-sure fluctuations of partial sums of independent random variables on the scale of the square root of twice the product of their variance and the iterated logarithm of the sample size.
  • F. None of above. chosen

Provenance (5 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_69d86d9cdb648190bf3171be0bd7d872 completed April 10, 2026, 3:25 a.m.
NER Named-entity recognition batch_69e04fd6eb888190b7a9b07b76e62c0d completed April 16, 2026, 2:56 a.m.
NED1 Entity disambiguation (via context triple) batch_69ff8300a4248190ba52573b57f31b36 completed May 9, 2026, 6:54 p.m.
NEDg Description generation batch_69ff8378450081909614f68772a23851 completed May 9, 2026, 6:56 p.m.
NED2 Entity disambiguation (via description) batch_69ff84125e808190a4d465d9effad639 completed May 9, 2026, 6:59 p.m.
Created at: April 10, 2026, 4:46 a.m.