Triple

T2227864
Position Surface form Disambiguated ID Type / Status
Subject School of Mathematics E48694 entity
Predicate employerOf P7 FINISHED
Object Peter Sarnak
Peter Sarnak is a prominent mathematician known for his influential work in number theory, automorphic forms, and spectral theory.
E244827 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: Peter Sarnak | Statement: [School of Mathematics, employerOf, Peter Sarnak]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Peter Sarnak
Context triple: [School of Mathematics, employerOf, Peter Sarnak]
  • A. 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.
  • B. Enrico Bombieri
    Enrico Bombieri is an Italian mathematician renowned for his work in number theory, analysis, and the theory of minimal surfaces, and as a recipient of the Fields Medal.
  • C. Charles Fefferman
    Charles Fefferman is an American mathematician renowned for his groundbreaking work in harmonic analysis, partial differential equations, and several complex variables, and is a Fields Medalist and long-time professor at Princeton University.
  • D. Terence Tao
    Terence Tao is an Australian-American mathematician renowned for his groundbreaking work in harmonic analysis, partial differential equations, additive combinatorics, and analytic number theory.
  • E. Elias Stein
    Elias Stein was a highly influential American mathematician renowned for his foundational contributions to harmonic analysis and his long tenure at Princeton University.
  • 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: Peter Sarnak
Triple: [School of Mathematics, employerOf, Peter Sarnak]
Generated description
Peter Sarnak is a prominent mathematician known for his influential work in number theory, automorphic forms, and spectral theory.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Peter Sarnak
Target entity description: Peter Sarnak is a prominent mathematician known for his influential work in number theory, automorphic forms, and spectral theory.
  • A. 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.
  • B. Enrico Bombieri
    Enrico Bombieri is an Italian mathematician renowned for his work in number theory, analysis, and the theory of minimal surfaces, and as a recipient of the Fields Medal.
  • C. Charles Fefferman
    Charles Fefferman is an American mathematician renowned for his groundbreaking work in harmonic analysis, partial differential equations, and several complex variables, and is a Fields Medalist and long-time professor at Princeton University.
  • D. Terence Tao
    Terence Tao is an Australian-American mathematician renowned for his groundbreaking work in harmonic analysis, partial differential equations, additive combinatorics, and analytic number theory.
  • E. Elias Stein
    Elias Stein was a highly influential American mathematician renowned for his foundational contributions to harmonic analysis and his long tenure at Princeton University.
  • 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_69a88aa51b388190949868ec9766e587 completed March 4, 2026, 7:40 p.m.
NER Named-entity recognition batch_69abc0670ce48190b98814064bff0517 completed March 7, 2026, 6:06 a.m.
NED1 Entity disambiguation (via context triple) batch_69ae6567b64c8190ab718f20bbf033df completed March 9, 2026, 6:15 a.m.
NEDg Description generation batch_69ae666bd32c81909ff15201757a6c76 completed March 9, 2026, 6:19 a.m.
NED2 Entity disambiguation (via description) batch_69ae66d8ba688190a2102c00fc6231c4 completed March 9, 2026, 6:21 a.m.
Created at: March 4, 2026, 7:47 p.m.