Triple

T21712462
Position Surface form Disambiguated ID Type / Status
Subject second fundamental theorem of welfare economics E535938 entity
Predicate associatedWith P37 FINISHED
Object Kenneth Arrow NE NERFINISHED

How this triple was built (2 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: Kenneth Arrow | Statement: [second fundamental theorem of welfare economics, associatedWith, Kenneth Arrow]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Kenneth Arrow
Context triple: [second fundamental theorem of welfare economics, associatedWith, Kenneth Arrow]
  • A. Kenneth Arrow chosen
    Kenneth Arrow was a Nobel Prize–winning American economist renowned for his foundational contributions to social choice theory and general equilibrium economics.
  • B. Leonid Hurwicz
    Leonid Hurwicz was a Polish-American economist and mathematician best known as a pioneer of mechanism design theory and a Nobel Memorial Prize laureate in Economic Sciences.
  • C. John Harsanyi
    John Harsanyi was a Hungarian-American economist and Nobel laureate renowned for his foundational contributions to game theory and welfare economics, particularly his work on modeling rational behavior and social choice under uncertainty.
  • D. Gérard Debreu
    Gérard Debreu was a French economist and mathematician best known for his rigorous formulation of general equilibrium theory, for which he received the Nobel Memorial Prize in Economic Sciences.
  • E. Lloyd Shapley
    Lloyd Shapley was an American mathematician and Nobel laureate renowned for his foundational contributions to game theory and the theory of stable matching.
  • F. None of above.
  • G. Unsure - the case is ambiguous/there is not enough information to decide.

Provenance (2 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_69e0c46c6dd88190a595375fa6ebd701 completed April 16, 2026, 11:13 a.m.
NER Named-entity recognition batch_69efb53573a08190ad73576d27e8094f completed April 27, 2026, 7:12 p.m.
Created at: April 16, 2026, 6:46 p.m.