Triple

T6929696
Position Surface form Disambiguated ID Type / Status
Subject Cantor–Bernstein–Schröder theorem E160401 entity
Predicate namedAfter P63 FINISHED
Object Ernst Schröder
Ernst Schröder was a German mathematician known for his foundational work in algebraic logic and contributions to the development of set theory.
 E628899 NE FINISHED

How this triple was built (4 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: Ernst Schröder | Statement: [Cantor–Bernstein–Schröder theorem, namedAfter, Ernst Schröder]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07 
Target entity: Ernst Schröder
Context triple: [Cantor–Bernstein–Schröder theorem, namedAfter, Ernst Schröder]
  • A. Julius König
    Julius König was a Hungarian mathematician known for his work in set theory, logic, and the foundations of mathematics in the late 19th and early 20th centuries.
  • B. 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.
  • C. Alfred Pringsheim
    Alfred Pringsheim was a German mathematician and art collector known for his work in analysis and as the father of Katia Mann, wife of writer Thomas Mann.
  • D. Paul Gordan
    Paul Gordan was a 19th-century German mathematician known as the "king of invariant theory" for his foundational work in algebraic invariants.
  • E. Alfred Clebsch
    Alfred Clebsch was a 19th-century German mathematician known for his influential work in algebraic geometry and invariant theory.
  • F. None of above. chosen
  • G. Unsure - the case is ambiguous/there is not enough information to decide.
NEDg Description generation gpt-5.1
Instruction
Generate a one-sentence description of the target entity. 
You are given a context triple in the form (subject, predicate, object), where the object is the target entity. 
# Instructions
Use the triple to infer relevant information about the entity. Describe the entity based on what is most defining, well-known. 
Avoid repeating the information from the triple, unless really essential.
# Response Format
Return only the sentence: "Description: [one-sentence description of the target entity]"
Input
Entity: Ernst Schröder
Triple: [Cantor–Bernstein–Schröder theorem, namedAfter, Ernst Schröder]
Generated description
Ernst Schröder was a German mathematician known for his foundational work in algebraic logic and contributions to the development of set theory.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07 
Target entity: Ernst Schröder
Target entity description: Ernst Schröder was a German mathematician known for his foundational work in algebraic logic and contributions to the development of set theory.
  • A. Julius König
    Julius König was a Hungarian mathematician known for his work in set theory, logic, and the foundations of mathematics in the late 19th and early 20th centuries.
  • B. 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.
  • C. Alfred Pringsheim
    Alfred Pringsheim was a German mathematician and art collector known for his work in analysis and as the father of Katia Mann, wife of writer Thomas Mann.
  • D. Paul Gordan
    Paul Gordan was a 19th-century German mathematician known as the "king of invariant theory" for his foundational work in algebraic invariants.
  • E. Alfred Clebsch
    Alfred Clebsch was a 19th-century German mathematician known for his influential work in algebraic geometry and invariant theory.
  • F. None of above. chosen

Provenance (5 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_69c6884e15208190b9e91487eaafcf85 completed March 27, 2026, 1:38 p.m.
NER Named-entity recognition batch_69c6da1f5fcc8190b43f53f90fc1821c completed March 27, 2026, 7:27 p.m.
NED1 Entity disambiguation (via context triple) batch_69c7514774d88190af212d7953014703 completed March 28, 2026, 3:55 a.m.
NEDg Description generation batch_69c7524d677c81909531ba9bb46f2632 completed March 28, 2026, 4 a.m.
NED2 Entity disambiguation (via description) batch_69c752bef2808190843f3cad53aa5702 completed March 28, 2026, 4:02 a.m.
Created at: March 27, 2026, 2:27 p.m.