Triple

T13070794
Position Surface form Disambiguated ID Type / Status
Subject Paul Lévy E329449 entity
Predicate knownFor P22 FINISHED
Object Lévy measure
A Lévy measure is a mathematical tool used in probability theory to characterize the jump behavior of Lévy processes and more general infinitely divisible distributions.
E1020436 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: Lévy measure | Statement: [Paul Lévy, knownFor, Lévy measure]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Lévy measure
Context triple: [Paul Lévy, knownFor, Lévy measure]
  • A. Lévy–Prokhorov metric
    The Lévy–Prokhorov metric is a probability metric on the space of probability measures that metrizes weak convergence and is widely used in probability theory and measure theory.
  • B. Liouville measure
    Liouville measure is a canonical volume measure on phase space in Hamiltonian mechanics and symplectic geometry that remains invariant under the system’s time evolution.
  • C. Lebesgue measure
    Lebesgue measure is the standard way of assigning a consistent notion of "length," "area," or "volume" to subsets of Euclidean space, forming the foundation of modern measure theory and integration.
  • D. Radon measure
    A Radon measure is a type of measure on a topological space that is locally finite and inner regular, playing a central role in modern measure theory and integration.
  • E. Stieltjes measure
    A Stieltjes measure is a measure on the real line constructed from a nondecreasing, right-continuous function, providing the measure-theoretic foundation for the Riemann–Stieltjes and Lebesgue–Stieltjes integrals.
  • 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: Lévy measure
Triple: [Paul Lévy, knownFor, Lévy measure]
Generated description
A Lévy measure is a mathematical tool used in probability theory to characterize the jump behavior of Lévy processes and more general infinitely divisible distributions.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Lévy measure
Target entity description: A Lévy measure is a mathematical tool used in probability theory to characterize the jump behavior of Lévy processes and more general infinitely divisible distributions.
  • A. Lévy–Prokhorov metric
    The Lévy–Prokhorov metric is a probability metric on the space of probability measures that metrizes weak convergence and is widely used in probability theory and measure theory.
  • B. Liouville measure
    Liouville measure is a canonical volume measure on phase space in Hamiltonian mechanics and symplectic geometry that remains invariant under the system’s time evolution.
  • C. Lebesgue measure
    Lebesgue measure is the standard way of assigning a consistent notion of "length," "area," or "volume" to subsets of Euclidean space, forming the foundation of modern measure theory and integration.
  • D. Radon measure
    A Radon measure is a type of measure on a topological space that is locally finite and inner regular, playing a central role in modern measure theory and integration.
  • E. Stieltjes measure
    A Stieltjes measure is a measure on the real line constructed from a nondecreasing, right-continuous function, providing the measure-theoretic foundation for the Riemann–Stieltjes and Lebesgue–Stieltjes integrals.
  • 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_69d80771749c81909a6d9197b9504872 completed April 9, 2026, 8:09 p.m.
NER Named-entity recognition batch_69d980ee6130819095d835e7ff6a8c5b completed April 10, 2026, 10:59 p.m.
NED1 Entity disambiguation (via context triple) batch_69f6d60510dc81909e0cba8b63a50d9c completed May 3, 2026, 4:58 a.m.
NEDg Description generation batch_69f6dbb4b8848190825102be81ff693a completed May 3, 2026, 5:23 a.m.
NED2 Entity disambiguation (via description) batch_69f6dc705f28819087e5d374f83d3acc completed May 3, 2026, 5:26 a.m.
Created at: April 9, 2026, 9 p.m.