Triple

T846885
Position Surface form Disambiguated ID Type / Status
Subject Leopold Kronecker E18296 entity
Predicate doctoralAdvisor P167 FINISHED
Object Peter Gustav Lejeune Dirichlet
Peter Gustav Lejeune Dirichlet was a 19th-century German mathematician renowned for his foundational contributions to number theory and analysis, including Dirichlet's theorem on arithmetic progressions.
E105365 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: Peter Gustav Lejeune Dirichlet | Statement: [Leopold Kronecker, doctoralAdvisor, Peter Gustav Lejeune Dirichlet]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Peter Gustav Lejeune Dirichlet
Context triple: [Leopold Kronecker, doctoralAdvisor, Peter Gustav Lejeune Dirichlet]
  • A. Karl Weierstrass
    Karl Weierstrass was a 19th-century German mathematician renowned as a founder of modern analysis, particularly for his rigorous formulation of calculus and the theory of functions.
  • B. Ernst Eduard Kummer
    Ernst Eduard Kummer was a 19th-century German mathematician renowned for his foundational work in number theory, particularly on ideal numbers and Fermat's Last Theorem.
  • C. Carl Gustav Jacob Jacobi
    Carl Gustav Jacob Jacobi was a 19th-century German mathematician renowned for his fundamental contributions to elliptic functions, number theory, and differential equations.
  • D. Augustin-Louis Cauchy
    Augustin-Louis Cauchy was a pioneering 19th-century French mathematician whose rigorous foundations for calculus and complex analysis profoundly shaped modern mathematics.
  • E. Bernhard Riemann
    Bernhard Riemann was a 19th-century German mathematician whose groundbreaking work in analysis, number theory, and differential geometry laid the foundations for modern mathematics and general relativity.
  • 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: Peter Gustav Lejeune Dirichlet
Triple: [Leopold Kronecker, doctoralAdvisor, Peter Gustav Lejeune Dirichlet]
Generated description
Peter Gustav Lejeune Dirichlet was a 19th-century German mathematician renowned for his foundational contributions to number theory and analysis, including Dirichlet's theorem on arithmetic progressions.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Peter Gustav Lejeune Dirichlet
Target entity description: Peter Gustav Lejeune Dirichlet was a 19th-century German mathematician renowned for his foundational contributions to number theory and analysis, including Dirichlet's theorem on arithmetic progressions.
  • A. Karl Weierstrass
    Karl Weierstrass was a 19th-century German mathematician renowned as a founder of modern analysis, particularly for his rigorous formulation of calculus and the theory of functions.
  • B. Ernst Eduard Kummer
    Ernst Eduard Kummer was a 19th-century German mathematician renowned for his foundational work in number theory, particularly on ideal numbers and Fermat's Last Theorem.
  • C. Carl Gustav Jacob Jacobi
    Carl Gustav Jacob Jacobi was a 19th-century German mathematician renowned for his fundamental contributions to elliptic functions, number theory, and differential equations.
  • D. Augustin-Louis Cauchy
    Augustin-Louis Cauchy was a pioneering 19th-century French mathematician whose rigorous foundations for calculus and complex analysis profoundly shaped modern mathematics.
  • E. Bernhard Riemann
    Bernhard Riemann was a 19th-century German mathematician whose groundbreaking work in analysis, number theory, and differential geometry laid the foundations for modern mathematics and general relativity.
  • 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_69a4938b04208190b82e1df6b572c548 completed March 1, 2026, 7:29 p.m.
NER Named-entity recognition batch_69a4ac0ba6b4819089c15ed7e1765502 completed March 1, 2026, 9:13 p.m.
NED1 Entity disambiguation (via context triple) batch_69a7c016a8a88190965e7c703b0329fb completed March 4, 2026, 5:16 a.m.
NEDg Description generation batch_69a7c1782d108190825ece29e7532bf6 completed March 4, 2026, 5:22 a.m.
NED2 Entity disambiguation (via description) batch_69a7c21dd42881908ac19fed7454d7a9 completed March 4, 2026, 5:24 a.m.
Created at: March 1, 2026, 7:38 p.m.