Triple
T18044566
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | First Welfare Theorem |
E431737
|
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: [First Welfare Theorem, associatedWith, Kenneth Arrow]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Kenneth Arrow Context triple: [First Welfare Theorem, 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_69d8b906482481908183315b9ecf9994 |
completed | April 10, 2026, 8:47 a.m. |
| NER | Named-entity recognition | batch_69e4bff13f488190993445769551c9c2 |
completed | April 19, 2026, 11:43 a.m. |
Created at: April 10, 2026, 10:25 a.m.