Triple
T19050688
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Dirichlet kernel |
E466248
|
entity |
| Predicate | namedAfter |
P63
|
FINISHED |
| Object | Johann Peter Gustav Lejeune Dirichlet |
—
|
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: Johann Peter Gustav Lejeune Dirichlet | Statement: [Dirichlet kernel, namedAfter, Johann Peter Gustav Lejeune Dirichlet]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Johann Peter Gustav Lejeune Dirichlet Context triple: [Dirichlet kernel, namedAfter, Johann Peter Gustav Lejeune Dirichlet]
-
A.
Peter Gustav Lejeune Dirichlet
chosen
Peter Gustav Lejeune Dirichlet was a 19th-century German mathematician renowned for his foundational contributions to number theory and analysis, including Dirichlet's theorem on arithmetic progressions.
-
B.
Karl Weierstrass
Karl Weierstrass was a 19th-century German mathematician renowned as a founder of modern analysis, particularly for his rigorous formulation of calculus and the theory of functions.
-
C.
Ernst Eduard Kummer
Ernst Eduard Kummer was a 19th-century German mathematician renowned for his foundational work in number theory, particularly on ideal numbers and Fermat's Last Theorem.
-
D.
Leopold Kronecker
Leopold Kronecker was a 19th-century German mathematician known for his work in number theory, algebra, and logic, and for his influential finitist and constructivist views on mathematics.
-
E.
Otto Kummer
Otto Kummer is a notable individual who shares the surname associated with the Kummer family name.
- 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_69d8dd040fb881909af2a964f65ad208 |
completed | April 10, 2026, 11:20 a.m. |
| NER | Named-entity recognition | batch_69e5dc02597c8190b39fd2c7b7e42258 |
completed | April 20, 2026, 7:55 a.m. |
Created at: April 10, 2026, 12:03 p.m.