Triple

T846884
Position Surface form Disambiguated ID Type / Status
Subject Leopold Kronecker E18296 entity
Predicate doctoralAdvisor P167 FINISHED
Object 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.
 E104397 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: Ernst Eduard Kummer | Statement: [Leopold Kronecker, doctoralAdvisor, Ernst Eduard Kummer]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07 
Target entity: Ernst Eduard Kummer
Context triple: [Leopold Kronecker, doctoralAdvisor, Ernst Eduard Kummer]
  • A. Leopold Kronecker
    Leopold Kronecker was a 19th-century German mathematician known for his work in number theory, algebra, and logic, and for his influential finitist and constructivist views on mathematics.
  • B. Alfred Clebsch
    Alfred Clebsch was a 19th-century German mathematician known for his influential work in algebraic geometry and invariant theory.
  • C. Ferdinand von Lindemann
    Ferdinand von Lindemann was a German mathematician best known for proving the transcendence of π, thereby establishing the impossibility of squaring the circle with ruler and compass.
  • D. Felix Klein
    Felix Klein was a German mathematician renowned for his work in group theory, non-Euclidean geometry, and the Erlangen Program, which redefined the foundations of geometry.
  • E. 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.
  • 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: Ernst Eduard Kummer
Triple: [Leopold Kronecker, doctoralAdvisor, Ernst Eduard Kummer]
Generated description
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.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07 
Target entity: Ernst Eduard Kummer
Target entity description: 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.
  • A. Leopold Kronecker
    Leopold Kronecker was a 19th-century German mathematician known for his work in number theory, algebra, and logic, and for his influential finitist and constructivist views on mathematics.
  • B. Alfred Clebsch
    Alfred Clebsch was a 19th-century German mathematician known for his influential work in algebraic geometry and invariant theory.
  • C. Ferdinand von Lindemann
    Ferdinand von Lindemann was a German mathematician best known for proving the transcendence of π, thereby establishing the impossibility of squaring the circle with ruler and compass.
  • D. Felix Klein
    Felix Klein was a German mathematician renowned for his work in group theory, non-Euclidean geometry, and the Erlangen Program, which redefined the foundations of geometry.
  • E. 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.
  • 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_69a7b8472f188190b470893c76b20ccf completed March 4, 2026, 4:42 a.m.
NEDg Description generation batch_69a7bc1acf708190aa86cd5eca101966 completed March 4, 2026, 4:59 a.m.
NED2 Entity disambiguation (via description) batch_69a7bc96dd2881909310147292b99023 completed March 4, 2026, 5:01 a.m.
Created at: March 1, 2026, 7:38 p.m.