Triple

T8644703
Position Surface form Disambiguated ID Type / Status
Subject Deuring–Heilbronn phenomenon E204744 entity
Predicate namedAfter P63 FINISHED
Object Hans Heilbronn
Hans Heilbronn was a 20th-century German-British mathematician known for his influential work in number theory and contributions to the study of L-functions and related phenomena.
E747886 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: Hans Heilbronn | Statement: [Deuring–Heilbronn phenomenon, namedAfter, Hans Heilbronn]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Hans Heilbronn
Context triple: [Deuring–Heilbronn phenomenon, namedAfter, Hans Heilbronn]
  • A. Harold Davenport
    Harold Davenport was a prominent 20th-century British mathematician renowned for his contributions to number theory and his influential role as a doctoral advisor to many leading mathematicians.
  • B. Kurt Mahler
    Kurt Mahler was a German-born British mathematician renowned for his contributions to number theory and transcendental number theory, including Mahler's classification and Mahler measure.
  • C. J. W. S. Cassels
    J. W. S. Cassels was a prominent British mathematician known for his influential work in number theory and Diophantine approximation.
  • D. Klaus Roth
    Klaus Roth was a German-born British mathematician renowned for his groundbreaking work in number theory, particularly his proof of Roth's theorem on Diophantine approximation, for which he received the Fields Medal in 1958.
  • E. Hans Zassenhaus
    Hans Zassenhaus was a German mathematician known for his contributions to group theory, algebra, and computational algebra, including the development of the Zassenhaus algorithm and Zassenhaus lemma.
  • 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: Hans Heilbronn
Triple: [Deuring–Heilbronn phenomenon, namedAfter, Hans Heilbronn]
Generated description
Hans Heilbronn was a 20th-century German-British mathematician known for his influential work in number theory and contributions to the study of L-functions and related phenomena.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Hans Heilbronn
Target entity description: Hans Heilbronn was a 20th-century German-British mathematician known for his influential work in number theory and contributions to the study of L-functions and related phenomena.
  • A. Harold Davenport
    Harold Davenport was a prominent 20th-century British mathematician renowned for his contributions to number theory and his influential role as a doctoral advisor to many leading mathematicians.
  • B. Kurt Mahler
    Kurt Mahler was a German-born British mathematician renowned for his contributions to number theory and transcendental number theory, including Mahler's classification and Mahler measure.
  • C. J. W. S. Cassels
    J. W. S. Cassels was a prominent British mathematician known for his influential work in number theory and Diophantine approximation.
  • D. Klaus Roth
    Klaus Roth was a German-born British mathematician renowned for his groundbreaking work in number theory, particularly his proof of Roth's theorem on Diophantine approximation, for which he received the Fields Medal in 1958.
  • E. Hans Zassenhaus
    Hans Zassenhaus was a German mathematician known for his contributions to group theory, algebra, and computational algebra, including the development of the Zassenhaus algorithm and Zassenhaus lemma.
  • 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_69ca834ca1c88190a11ffb0200342fac completed March 30, 2026, 2:06 p.m.
NER Named-entity recognition batch_69cc479999c881908c0c4e01c07d02d4 completed March 31, 2026, 10:15 p.m.
NED1 Entity disambiguation (via context triple) batch_69cebc42922c819099a464d2e347dec4 completed April 2, 2026, 6:58 p.m.
NEDg Description generation batch_69cec03fa5dc8190bbfe40aa1a3b27c1 completed April 2, 2026, 7:15 p.m.
NED2 Entity disambiguation (via description) batch_69cec0cac51c8190962a23d53c1fb48b completed April 2, 2026, 7:17 p.m.
Created at: March 30, 2026, 6:28 p.m.