Triple
T3044241
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Karush–Kuhn–Tucker conditions |
E83405
|
entity |
| Predicate | namedAfter |
P63
|
FINISHED |
| Object | William Karush |
E89747
|
NE FINISHED |
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: William Karush | Statement: [Karush–Kuhn–Tucker conditions, namedAfter, William Karush]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: William Karush Context triple: [Karush–Kuhn–Tucker conditions, namedAfter, William Karush]
-
A.
William Karush
chosen
William Karush was an American mathematician best known for his early formulation of the Karush–Kuhn–Tucker conditions, a cornerstone of nonlinear optimization theory.
-
B.
Ralph E. Gomory
Ralph E. Gomory is an American mathematician and former IBM research executive known for his pioneering work in integer programming and for leadership in industrial research and science policy.
-
C.
Fritz John
Fritz John was a German-American mathematician renowned for his contributions to partial differential equations, calculus of variations, and functional analysis.
-
D.
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.
-
E.
Herbert Scarf
Herbert Scarf was an influential American economist and mathematician known for his work on general equilibrium theory, fixed-point theorems, and integer programming.
- F. None of above.
- G. Unsure - the case is ambiguous/there is not enough information to decide.
Provenance (3 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_69ad8b24924c8190a9bb6f61d519e4ae |
completed | March 8, 2026, 2:43 p.m. |
| NER | Named-entity recognition | batch_69ad9b5ec5988190b8b6c95c743c6d1e |
completed | March 8, 2026, 3:53 p.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69b1eef43da8819094cd438c93c64c86 |
completed | March 11, 2026, 10:38 p.m. |
Created at: March 8, 2026, 3:01 p.m.