Triple

T9030827
Position Surface form Disambiguated ID Type / Status
Subject Alan Baker E216165 entity
Predicate doctoralStudent P167 FINISHED
Object Roger Heath-Brown
Roger Heath-Brown is a prominent British mathematician known for his influential work in analytic number theory, particularly on prime numbers and Diophantine equations.
 E772533 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: Roger Heath-Brown | Statement: [Alan Baker, doctoralStudent, Roger Heath-Brown]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07 
Target entity: Roger Heath-Brown
Context triple: [Alan Baker, doctoralStudent, Roger Heath-Brown]
  • A. Peter Swinnerton-Dyer
    Peter Swinnerton-Dyer was a British mathematician best known for co-formulating the Birch and Swinnerton-Dyer conjecture, one of the central problems in number theory.
  • B. Andrew Wiles
    Andrew Wiles is a British mathematician renowned for proving Fermat’s Last Theorem, resolving a centuries-old problem in number theory.
  • C. Manjul Bhargava
    Manjul Bhargava is a Canadian-American mathematician renowned for his groundbreaking work in number theory, for which he received the Fields Medal in 2014.
  • D. Ken Ribet
    Ken Ribet is an American mathematician known for his work in number theory, particularly his proof of the epsilon conjecture, which played a crucial role in the eventual proof of Fermat’s Last Theorem.
  • E. J. W. S. Cassels
    J. W. S. Cassels was a prominent British mathematician known for his influential work in number theory and Diophantine approximation.
  • 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: Roger Heath-Brown
Triple: [Alan Baker, doctoralStudent, Roger Heath-Brown]
Generated description
Roger Heath-Brown is a prominent British mathematician known for his influential work in analytic number theory, particularly on prime numbers and Diophantine equations.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07 
Target entity: Roger Heath-Brown
Target entity description: Roger Heath-Brown is a prominent British mathematician known for his influential work in analytic number theory, particularly on prime numbers and Diophantine equations.
  • A. Peter Swinnerton-Dyer
    Peter Swinnerton-Dyer was a British mathematician best known for co-formulating the Birch and Swinnerton-Dyer conjecture, one of the central problems in number theory.
  • B. Andrew Wiles
    Andrew Wiles is a British mathematician renowned for proving Fermat’s Last Theorem, resolving a centuries-old problem in number theory.
  • C. Manjul Bhargava
    Manjul Bhargava is a Canadian-American mathematician renowned for his groundbreaking work in number theory, for which he received the Fields Medal in 2014.
  • D. Ken Ribet
    Ken Ribet is an American mathematician known for his work in number theory, particularly his proof of the epsilon conjecture, which played a crucial role in the eventual proof of Fermat’s Last Theorem.
  • E. J. W. S. Cassels
    J. W. S. Cassels was a prominent British mathematician known for his influential work in number theory and Diophantine approximation.
  • 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_69ca83a5fa88819088144801b4dd7245 completed March 30, 2026, 2:07 p.m.
NER Named-entity recognition batch_69cc6a9e0aa881908886f453c51ecd0e completed April 1, 2026, 12:45 a.m.
NED1 Entity disambiguation (via context triple) batch_69cfdbc662208190a3f4e6e593208c5c completed April 3, 2026, 3:24 p.m.
NEDg Description generation batch_69cfdceaa44c81909384939d651b9a61 completed April 3, 2026, 3:29 p.m.
NED2 Entity disambiguation (via description) batch_69cfdd75761c8190b17f97184ae07810 completed April 3, 2026, 3:32 p.m.
Created at: March 30, 2026, 7:08 p.m.