Triple

T4461570
Position Surface form Disambiguated ID Type / Status
Subject Wigner surmise E98265 entity
Predicate PoissonComparison P55563 FINISHED
Object Poisson distribution has P(s) = e^{-s}
The Poisson distribution with P(s) = e^{-s} is a simple statistical model describing uncorrelated, randomly spaced events, often used as a reference for comparison in random matrix theory and spectral statistics.
E443155 NE FINISHED

How this triple was built (5 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: Poisson distribution has P(s) = e^{-s} | Statement: [Wigner surmise, PoissonComparison, Poisson distribution has P(s) = e^{-s}]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Poisson distribution has P(s) = e^{-s}
Context triple: [Wigner surmise, PoissonComparison, Poisson distribution has P(s) = e^{-s}]
  • A. Pareto distribution
    The Pareto distribution is a power-law probability distribution often used to model phenomena with heavy tails and strong inequality, such as wealth or city sizes.
  • B. Khinchin–Pollaczek formula
    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.
  • C. Poisson summation formula
    The Poisson summation formula is a fundamental result in harmonic analysis that links sums of a function over the integers to sums of its Fourier transform, with deep applications in number theory, signal processing, and physics.
  • D. Gumbel
    Gumbel is a surname most notably associated with American sportscaster Greg Gumbel.
  • E. Pochhammer symbol
    The Pochhammer symbol is a mathematical notation representing rising factorials, widely used in series expansions, special functions, and hypergeometric functions.
  • 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: Poisson distribution has P(s) = e^{-s}
Triple: [Wigner surmise, PoissonComparison, Poisson distribution has P(s) = e^{-s}]
Generated description
The Poisson distribution with P(s) = e^{-s} is a simple statistical model describing uncorrelated, randomly spaced events, often used as a reference for comparison in random matrix theory and spectral statistics.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Poisson distribution has P(s) = e^{-s}
Target entity description: The Poisson distribution with P(s) = e^{-s} is a simple statistical model describing uncorrelated, randomly spaced events, often used as a reference for comparison in random matrix theory and spectral statistics.
  • A. Pareto distribution
    The Pareto distribution is a power-law probability distribution often used to model phenomena with heavy tails and strong inequality, such as wealth or city sizes.
  • B. Khinchin–Pollaczek formula
    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.
  • C. Poisson summation formula
    The Poisson summation formula is a fundamental result in harmonic analysis that links sums of a function over the integers to sums of its Fourier transform, with deep applications in number theory, signal processing, and physics.
  • D. Gumbel
    Gumbel is a surname most notably associated with American sportscaster Greg Gumbel.
  • E. Pochhammer symbol
    The Pochhammer symbol is a mathematical notation representing rising factorials, widely used in series expansions, special functions, and hypergeometric functions.
  • F. None of above. chosen
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: PoissonComparison
Context triple: [Wigner surmise, PoissonComparison, Poisson distribution has P(s) = e^{-s}]
  • A. hasCurvatureInvariant
    Indicates that one entity possesses a specific curvature-related invariant property or value associated with its geometric or mathematical structure.
  • B. distanceMetric
    Indicates a quantitative measure of how far apart two entities are within a given space or according to a specified metric.
  • C. beamApprox
    Indicates that one entity is approximately equal to or closely resembles another in value, form, or behavior.
  • D. reconstructionCost
    Indicates the monetary or resource expenditure required to rebuild or restore something to its prior or intended state.
  • E. hasApproximateShape
    Indicates that one entity has a shape that is similar to, but not exactly the same as, the shape of another entity.
  • F. None of above. chosen

Provenance (7 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_69b3454a7c608190944f5455c8031d73 completed March 12, 2026, 10:59 p.m.
NER Named-entity recognition batch_69b35674f718819089388c3924dd1414 completed March 13, 2026, 12:12 a.m.
NED1 Entity disambiguation (via context triple) batch_69b6284b90708190b557b66bd7533f4e completed March 15, 2026, 3:32 a.m.
NEDg Description generation batch_69b629532cac8190b959adc0ef13305a completed March 15, 2026, 3:36 a.m.
NED2 Entity disambiguation (via description) batch_69b62d9c287c8190a305f9d21517f913 completed March 15, 2026, 3:55 a.m.
PD Predicate disambiguation batch_69b34f65f6448190abfadb2ae5658798 completed March 12, 2026, 11:42 p.m.
PDg Predicate description generation batch_69b34ff7018c81908ad8597e525c042b completed March 12, 2026, 11:44 p.m.
Created at: March 12, 2026, 11:34 p.m.