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.