Triple

T8657103
Position Surface form Disambiguated ID Type / Status
Subject Ronald L. Graham E205446 entity
Predicate doctoralAdvisor P167 FINISHED
Object Derrick Henry Lehmer
Derrick Henry Lehmer was an American mathematician renowned for his pioneering work in number theory and the development of early computational methods and machines for prime number and factorization research.
E748746 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: Derrick Henry Lehmer | Statement: [Ronald L. Graham, doctoralAdvisor, Derrick Henry Lehmer]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Derrick Henry Lehmer
Context triple: [Ronald L. Graham, doctoralAdvisor, Derrick Henry Lehmer]
  • A. Frank Nelson Cole
    Frank Nelson Cole was an American mathematician known for his work in number theory and for famously factoring large numbers by hand, with a prestigious algebra prize later established in his honor.
  • B. Carl Pomerance
    Carl Pomerance is an American mathematician renowned for his contributions to number theory, particularly in computational number theory and primality testing.
  • C. 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.
  • D. John Charles Fields
    John Charles Fields was a Canadian mathematician best known for founding and endowing the Fields Medal, one of the most prestigious awards in mathematics.
  • E. Philip J. Davis
    Philip J. Davis was an American mathematician and prolific author known for his influential works on numerical analysis, the history and philosophy of mathematics, and popular mathematical writing.
  • 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: Derrick Henry Lehmer
Triple: [Ronald L. Graham, doctoralAdvisor, Derrick Henry Lehmer]
Generated description
Derrick Henry Lehmer was an American mathematician renowned for his pioneering work in number theory and the development of early computational methods and machines for prime number and factorization research.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Derrick Henry Lehmer
Target entity description: Derrick Henry Lehmer was an American mathematician renowned for his pioneering work in number theory and the development of early computational methods and machines for prime number and factorization research.
  • A. Frank Nelson Cole
    Frank Nelson Cole was an American mathematician known for his work in number theory and for famously factoring large numbers by hand, with a prestigious algebra prize later established in his honor.
  • B. Carl Pomerance
    Carl Pomerance is an American mathematician renowned for his contributions to number theory, particularly in computational number theory and primality testing.
  • C. 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.
  • D. John Charles Fields
    John Charles Fields was a Canadian mathematician best known for founding and endowing the Fields Medal, one of the most prestigious awards in mathematics.
  • E. Philip J. Davis
    Philip J. Davis was an American mathematician and prolific author known for his influential works on numerical analysis, the history and philosophy of mathematics, and popular mathematical writing.
  • 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_69ca8350897c819086cde7596fbe5fe7 completed March 30, 2026, 2:06 p.m.
NER Named-entity recognition batch_69cc484569788190aa41395854684e6f completed March 31, 2026, 10:18 p.m.
NED1 Entity disambiguation (via context triple) batch_69ceccec941881908263cd3205f10ccd completed April 2, 2026, 8:09 p.m.
NEDg Description generation batch_69cece8c4bdc8190988990c675f50f86 completed April 2, 2026, 8:16 p.m.
NED2 Entity disambiguation (via description) batch_69cecf3a0e78819082cc7c43eceae309 completed April 2, 2026, 8:19 p.m.
Created at: March 30, 2026, 6:30 p.m.