Triple

T7059203
Position Surface form Disambiguated ID Type / Status
Subject Garrett Birkhoff E164171 entity
Predicate doctoralAdvisor P167 FINISHED
Object George David Birkhoff
George David Birkhoff was an influential American mathematician best known for his work in dynamical systems and for formulating the ergodic theorem.
 E643822 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: George David Birkhoff | Statement: [Garrett Birkhoff, doctoralAdvisor, George David Birkhoff]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07 
Target entity: George David Birkhoff
Context triple: [Garrett Birkhoff, doctoralAdvisor, George David Birkhoff]
  • A. Garrett Birkhoff
    Garrett Birkhoff was an American mathematician best known for his foundational work in lattice theory and abstract algebra.
  • B. Solomon Lefschetz
    Solomon Lefschetz was a prominent 20th-century mathematician best known for his foundational work in algebraic topology and geometry, including the development of Lefschetz fixed-point theory.
  • C. Oswald Veblen
    Oswald Veblen was an American mathematician known for his foundational work in topology and geometry and for helping to shape the early development of the Institute for Advanced Study.
  • D. E. H. Moore
    E. H. Moore was an influential American mathematician known for his work in abstract algebra and for helping to shape the development of modern mathematical research in the United States.
  • E. 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.
  • 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: George David Birkhoff
Triple: [Garrett Birkhoff, doctoralAdvisor, George David Birkhoff]
Generated description
George David Birkhoff was an influential American mathematician best known for his work in dynamical systems and for formulating the ergodic theorem.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07 
Target entity: George David Birkhoff
Target entity description: George David Birkhoff was an influential American mathematician best known for his work in dynamical systems and for formulating the ergodic theorem.
  • A. Garrett Birkhoff
    Garrett Birkhoff was an American mathematician best known for his foundational work in lattice theory and abstract algebra.
  • B. Solomon Lefschetz
    Solomon Lefschetz was a prominent 20th-century mathematician best known for his foundational work in algebraic topology and geometry, including the development of Lefschetz fixed-point theory.
  • C. Oswald Veblen
    Oswald Veblen was an American mathematician known for his foundational work in topology and geometry and for helping to shape the early development of the Institute for Advanced Study.
  • D. E. H. Moore
    E. H. Moore was an influential American mathematician known for his work in abstract algebra and for helping to shape the development of modern mathematical research in the United States.
  • E. 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.
  • 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_69c68861678881909961ddf4d779f750 completed March 27, 2026, 1:38 p.m.
NER Named-entity recognition batch_69c6e26b2acc8190b212ec77b74c419f completed March 27, 2026, 8:02 p.m.
NED1 Entity disambiguation (via context triple) batch_69c7a316374c81908deeb60b8f58a3c8 completed March 28, 2026, 9:44 a.m.
NEDg Description generation batch_69c7a41986308190ac540663ddfd6802 completed March 28, 2026, 9:49 a.m.
NED2 Entity disambiguation (via description) batch_69c7a4be1cbc8190a7e4eb91d604f994 completed March 28, 2026, 9:51 a.m.
Created at: March 27, 2026, 2:38 p.m.