Triple

T846890
Position Surface form Disambiguated ID Type / Status
Subject Leopold Kronecker E18296 entity
Predicate notableStudent P4838 FINISHED
Object Kurt Hensel
Kurt Hensel was a German mathematician best known for introducing p-adic numbers, which became fundamental in number theory and algebraic geometry.
 E111434 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: Kurt Hensel | Statement: [Leopold Kronecker, notableStudent, Kurt Hensel]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07 
Target entity: Kurt Hensel
Context triple: [Leopold Kronecker, notableStudent, Kurt Hensel]
  • A. 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.
  • B. 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.
  • C. 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.
  • D. Franz Hilbert
    Franz Hilbert was the son of the influential German mathematician David Hilbert.
  • E. Helmut Hasse
    Helmut Hasse was a German mathematician renowned for his contributions to algebraic number theory and local class field theory, including the Hasse principle and Hasse–Minkowski theorem.
  • 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: Kurt Hensel
Triple: [Leopold Kronecker, notableStudent, Kurt Hensel]
Generated description
Kurt Hensel was a German mathematician best known for introducing p-adic numbers, which became fundamental in number theory and algebraic geometry.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07 
Target entity: Kurt Hensel
Target entity description: Kurt Hensel was a German mathematician best known for introducing p-adic numbers, which became fundamental in number theory and algebraic geometry.
  • A. 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.
  • B. 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.
  • C. 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.
  • D. Franz Hilbert
    Franz Hilbert was the son of the influential German mathematician David Hilbert.
  • E. Helmut Hasse
    Helmut Hasse was a German mathematician renowned for his contributions to algebraic number theory and local class field theory, including the Hasse principle and Hasse–Minkowski theorem.
  • 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_69a826cf14808190a4afc2a7b6c66845 completed March 4, 2026, 12:34 p.m.
NEDg Description generation batch_69a83432d9188190aa11be0f29dfdeaa completed March 4, 2026, 1:31 p.m.
NED2 Entity disambiguation (via description) batch_69a834bb8ff481909b6aa00274d22598 completed March 4, 2026, 1:33 p.m.
Created at: March 1, 2026, 7:38 p.m.