Triple

T677229
Position Surface form Disambiguated ID Type / Status
Subject Albert W. Tucker E13103 entity
Predicate coAuthor P398 FINISHED
Object William Karush
William Karush was an American mathematician best known for his early formulation of the Karush–Kuhn–Tucker conditions, a cornerstone of nonlinear optimization theory.
E89747 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: William Karush | Statement: [Albert W. Tucker, coAuthor, William Karush]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: William Karush
Context triple: [Albert W. Tucker, coAuthor, William Karush]
  • A. Albert W. Tucker
    Albert W. Tucker was a Canadian-born American mathematician best known for his influential work in game theory and topology, including formulating the Prisoner’s Dilemma and mentoring John Nash.
  • B. Harold W. Kuhn
    Harold W. Kuhn was an American mathematician and game theorist best known for his work on nonlinear programming and the Kuhn–Tucker conditions.
  • C. Wilhelm Ackermann
    Wilhelm Ackermann was a German mathematician known for his work in mathematical logic and the development of the Ackermann function, one of the earliest-discovered examples of a computable but not primitive recursive function.
  • D. Martin David Kruskal
    Martin David Kruskal was an American mathematician and physicist renowned for his pioneering work in soliton theory, nonlinear waves, and general relativity.
  • 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: William Karush
Triple: [Albert W. Tucker, coAuthor, William Karush]
Generated description
William Karush was an American mathematician best known for his early formulation of the Karush–Kuhn–Tucker conditions, a cornerstone of nonlinear optimization theory.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: William Karush
Target entity description: William Karush was an American mathematician best known for his early formulation of the Karush–Kuhn–Tucker conditions, a cornerstone of nonlinear optimization theory.
  • A. Albert W. Tucker
    Albert W. Tucker was a Canadian-born American mathematician best known for his influential work in game theory and topology, including formulating the Prisoner’s Dilemma and mentoring John Nash.
  • B. Harold W. Kuhn
    Harold W. Kuhn was an American mathematician and game theorist best known for his work on nonlinear programming and the Kuhn–Tucker conditions.
  • C. Wilhelm Ackermann
    Wilhelm Ackermann was a German mathematician known for his work in mathematical logic and the development of the Ackermann function, one of the earliest-discovered examples of a computable but not primitive recursive function.
  • D. Martin David Kruskal
    Martin David Kruskal was an American mathematician and physicist renowned for his pioneering work in soliton theory, nonlinear waves, and general relativity.
  • 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_69a4933d3bf88190972041cd8cf143b9 completed March 1, 2026, 7:27 p.m.
NER Named-entity recognition batch_69a4a04c89148190b6330e86697bb37b completed March 1, 2026, 8:23 p.m.
NED1 Entity disambiguation (via context triple) batch_69a65e3575388190a674df54e086fe2f completed March 3, 2026, 4:06 a.m.
NEDg Description generation batch_69a65e9a20748190b499182db9fc8cbb completed March 3, 2026, 4:07 a.m.
NED2 Entity disambiguation (via description) batch_69a65f13d140819086042d9b21f842f8 completed March 3, 2026, 4:09 a.m.
Created at: March 1, 2026, 7:36 p.m.