Triple

T4996509
Position Surface form Disambiguated ID Type / Status
Subject Weierstrass preparation theorem E112259 entity
Predicate namedAfter P63 FINISHED
Object Karl Weierstrass E20288 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: Karl Weierstrass | Statement: [Weierstrass preparation theorem, namedAfter, Karl Weierstrass]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Karl Weierstrass
Context triple: [Weierstrass preparation theorem, namedAfter, Karl Weierstrass]
  • A. Karl Weierstrass chosen
    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.
  • B. 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.
  • C. Bernhard Riemann
    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.
  • D. Rudolf Lipschitz
    Rudolf Lipschitz was a 19th-century German mathematician known for foundational work in analysis and differential equations, including the Lipschitz continuity condition that underpins key existence and uniqueness results.
  • E. 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.
  • 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_69bd4432b32c81909f3b3c6bd10f0653 completed March 20, 2026, 12:57 p.m.
NER Named-entity recognition batch_69bd72a130708190b9bc1393ba78bfb1 completed March 20, 2026, 4:15 p.m.
NED1 Entity disambiguation (via context triple) batch_69beef92c2d88190b56dbb48f1f97151 completed March 21, 2026, 7:20 p.m.
Created at: March 20, 2026, 1:34 p.m.