Triple

T13070818
Position Surface form Disambiguated ID Type / Status
Subject Paul Lévy E329449 entity
Predicate notableWork P4 FINISHED
Object Processus stochastiques et mouvement brownien
Processus stochastiques et mouvement brownien is a foundational mathematical work by Paul Lévy that develops the theory of stochastic processes and Brownian motion.
E1020439 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: Processus stochastiques et mouvement brownien | Statement: [Paul Lévy, notableWork, Processus stochastiques et mouvement brownien]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Processus stochastiques et mouvement brownien
Context triple: [Paul Lévy, notableWork, Processus stochastiques et mouvement brownien]
  • A. Random Walk and the Theory of Brownian Motion
    "Random Walk and the Theory of Brownian Motion" is a mathematical work by Mark Kac that rigorously develops the connection between discrete random walks and continuous Brownian motion within probability theory.
  • B. Probabilités et potentiel
    Probabilités et potentiel is a foundational mathematical text that develops modern probability theory using the tools and perspective of potential theory.
  • C. Théorie analytique des probabilités
    Théorie analytique des probabilités is Pierre-Simon Laplace’s foundational treatise that systematically developed probability theory and laid the groundwork for modern statistics.
  • D. Brownian motion
    Brownian motion is the random, jittery movement of microscopic particles suspended in a fluid, whose explanation provided key evidence for the existence of atoms and the molecular nature of matter.
  • E. Lyons' rough path theory
    Lyons' rough path theory is a mathematical framework that extends classical calculus to analyze and solve differential equations driven by highly irregular signals, such as paths with low regularity or stochastic processes like Brownian motion.
  • 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: Processus stochastiques et mouvement brownien
Triple: [Paul Lévy, notableWork, Processus stochastiques et mouvement brownien]
Generated description
Processus stochastiques et mouvement brownien is a foundational mathematical work by Paul Lévy that develops the theory of stochastic processes and Brownian motion.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Processus stochastiques et mouvement brownien
Target entity description: Processus stochastiques et mouvement brownien is a foundational mathematical work by Paul Lévy that develops the theory of stochastic processes and Brownian motion.
  • A. Random Walk and the Theory of Brownian Motion
    "Random Walk and the Theory of Brownian Motion" is a mathematical work by Mark Kac that rigorously develops the connection between discrete random walks and continuous Brownian motion within probability theory.
  • B. Probabilités et potentiel
    Probabilités et potentiel is a foundational mathematical text that develops modern probability theory using the tools and perspective of potential theory.
  • C. Théorie analytique des probabilités
    Théorie analytique des probabilités is Pierre-Simon Laplace’s foundational treatise that systematically developed probability theory and laid the groundwork for modern statistics.
  • D. Brownian motion
    Brownian motion is the random, jittery movement of microscopic particles suspended in a fluid, whose explanation provided key evidence for the existence of atoms and the molecular nature of matter.
  • E. Lyons' rough path theory
    Lyons' rough path theory is a mathematical framework that extends classical calculus to analyze and solve differential equations driven by highly irregular signals, such as paths with low regularity or stochastic processes like Brownian motion.
  • 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.