Triple

T8448926
Position Surface form Disambiguated ID Type / Status
Subject Adleman–Pomerance–Rumely primality test E199750 entity
Predicate namedAfter P63 FINISHED
Object Carl Pomerance
Carl Pomerance is an American mathematician renowned for his contributions to number theory, particularly in computational number theory and primality testing.
 E734842 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: Carl Pomerance | Statement: [Adleman–Pomerance–Rumely primality test, namedAfter, Carl Pomerance]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07 
Target entity: Carl Pomerance
Context triple: [Adleman–Pomerance–Rumely primality test, namedAfter, Carl Pomerance]
  • A. 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.
  • B. Emil C. Gotschlich
    Emil C. Gotschlich was an American physician and microbiologist renowned for developing the first effective vaccines against meningococcal meningitis.
  • C. 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.
  • D. Richard Lipton
    Richard Lipton is an American computer scientist known for his influential work in theoretical computer science and cryptography, including contributions to complexity theory and algorithm design.
  • E. Ronald L. Graham
    Ronald L. Graham was an influential American mathematician known for his pioneering work in combinatorics, discrete mathematics, and computational geometry, as well as for popularizing mathematics through both research and expository 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: Carl Pomerance
Triple: [Adleman–Pomerance–Rumely primality test, namedAfter, Carl Pomerance]
Generated description
Carl Pomerance is an American mathematician renowned for his contributions to number theory, particularly in computational number theory and primality testing.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07 
Target entity: Carl Pomerance
Target entity description: Carl Pomerance is an American mathematician renowned for his contributions to number theory, particularly in computational number theory and primality testing.
  • A. 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.
  • B. Emil C. Gotschlich
    Emil C. Gotschlich was an American physician and microbiologist renowned for developing the first effective vaccines against meningococcal meningitis.
  • C. 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.
  • D. Richard Lipton
    Richard Lipton is an American computer scientist known for his influential work in theoretical computer science and cryptography, including contributions to complexity theory and algorithm design.
  • E. Ronald L. Graham
    Ronald L. Graham was an influential American mathematician known for his pioneering work in combinatorics, discrete mathematics, and computational geometry, as well as for popularizing mathematics through both research and expository 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_69ca83170f9081909cd98f55614c6476 completed March 30, 2026, 2:05 p.m.
NER Named-entity recognition batch_69cbe445b7988190b53ae45070c70d1d completed March 31, 2026, 3:12 p.m.
NED1 Entity disambiguation (via context triple) batch_69ce1dbf2e2c8190b20e842438acb4d5 completed April 2, 2026, 7:41 a.m.
NEDg Description generation batch_69ce1eddb9988190a77ab59f2867ad5d completed April 2, 2026, 7:46 a.m.
NED2 Entity disambiguation (via description) batch_69ce1fb9b03c819089976283e1c53ca5 completed April 2, 2026, 7:50 a.m.
Created at: March 30, 2026, 6:09 p.m.