Triple

T9843597
Position Surface form Disambiguated ID Type / Status
Subject Cauchy–Riemann equations E239285 entity
Predicate namedAfter P63 FINISHED
Object Bernhard Riemann E8325 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: Bernhard Riemann | Statement: [Cauchy–Riemann equations, namedAfter, Bernhard Riemann]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Bernhard Riemann
Context triple: [Cauchy–Riemann equations, namedAfter, Bernhard Riemann]
  • A. Bernhard Riemann chosen
    Bernhard Riemann was a 19th-century German mathematician whose groundbreaking work in analysis, number theory, and differential geometry laid the foundations for modern mathematics and general relativity.
  • 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. Peter Gustav Lejeune Dirichlet
    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.
  • D. Felix Klein
    Felix Klein was a German mathematician renowned for his work in group theory, non-Euclidean geometry, and the Erlangen Program, which redefined the foundations of geometry.
  • E. David Hilbert
    David Hilbert was a pioneering German mathematician whose foundational work in fields such as invariant theory, axiomatic systems, and functional analysis profoundly shaped modern mathematics.
  • 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_69ca84e3f0c48190ada72a65ebd50efd completed March 30, 2026, 2:12 p.m.
NER Named-entity recognition batch_69cdb35c8e348190aa090c71bf6f30eb completed April 2, 2026, 12:07 a.m.
NED1 Entity disambiguation (via context triple) batch_69d1e429682c8190a94339b96d4081f6 completed April 5, 2026, 4:25 a.m.
Created at: March 30, 2026, 8:33 p.m.