Triple
T18266173
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Leonard Carlitz |
E437489
|
entity |
| Predicate | notableFor |
P22
|
FINISHED |
| Object | Carlitz numbers |
—
|
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: Carlitz numbers | Statement: [Leonard Carlitz, notableFor, Carlitz numbers]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Carlitz numbers Context triple: [Leonard Carlitz, notableFor, Carlitz numbers]
-
A.
Carlitz polynomials
Carlitz polynomials are a family of polynomials in the theory of function fields over finite fields that serve as analogues of classical Bernoulli polynomials and play a key role in Carlitz module and Drinfeld module theory.
-
B.
Carlitz exponential
The Carlitz exponential is a function-field analogue of the classical exponential function introduced by Leonard Carlitz, fundamental in the arithmetic of function fields over finite fields.
-
C.
Carlitz q-Bernoulli numbers
chosen
The Carlitz q-Bernoulli numbers are a q-analogue of the classical Bernoulli numbers introduced by Leonard Carlitz, playing a key role in q-series, special functions, and number theory.
-
D.
Jack polynomials
Jack polynomials are a family of symmetric polynomials depending on a continuous parameter that generalize several classical symmetric functions and play a key role in algebraic combinatorics, representation theory, and mathematical physics.
-
E.
Rogers–Ramanujan identities
The Rogers–Ramanujan identities are two famous q-series equalities in number theory and combinatorics that relate infinite series to infinite products and have deep connections to partition theory and modular forms.
- 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_69d8b913351c8190932b6a426de04b41 |
completed | April 10, 2026, 8:47 a.m. |
| NER | Named-entity recognition | batch_69e4ff7af85c81909859e7247738a535 |
completed | April 19, 2026, 4:14 p.m. |
Created at: April 10, 2026, 10:34 a.m.