Triple

T18729750
Position Surface form Disambiguated ID Type / Status
Subject Friedrich Richelot E458003 entity
Predicate memberOf P10 FINISHED
Object Königsberg school of mathematics
The Königsberg school of mathematics was a 19th-century mathematical tradition centered at the University of Königsberg, known for its influential work in analysis, geometry, and the training of prominent mathematicians.
E1340024 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: Königsberg school of mathematics | Statement: [Friedrich Richelot, memberOf, Königsberg school of mathematics]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Königsberg school of mathematics
Context triple: [Friedrich Richelot, memberOf, Königsberg school of mathematics]
  • A. Göttingen school of mathematics
    The Göttingen school of mathematics was a highly influential early 20th-century mathematical tradition centered at the University of Göttingen, renowned for groundbreaking work in analysis, topology, and mathematical physics under figures like David Hilbert and Felix Klein.
  • B. Saint Petersburg mathematical school
    The Saint Petersburg mathematical school is a renowned Russian tradition of mathematical research and education, particularly influential in probability theory, analysis, and mathematical logic.
  • C. Lwów School of Mathematics
    The Lwów School of Mathematics was a renowned early 20th-century Polish mathematical community centered in Lwów, famous for its groundbreaking work in functional analysis, set theory, and probability, and for its collaborative problem-solving culture documented in the Scottish Book.
  • D. Polish School of Mathematics
    The Polish School of Mathematics was a renowned early 20th-century mathematical tradition centered in cities like Warsaw and Lwów, noted for its groundbreaking work in areas such as functional analysis, topology, and logic.
  • E. Kraków School of Mathematics
    The Kraków School of Mathematics was a prominent early 20th-century Polish mathematical community centered in Kraków, known for significant contributions to areas such as analysis and differential equations.
  • 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: Königsberg school of mathematics
Triple: [Friedrich Richelot, memberOf, Königsberg school of mathematics]
Generated description
The Königsberg school of mathematics was a 19th-century mathematical tradition centered at the University of Königsberg, known for its influential work in analysis, geometry, and the training of prominent mathematicians.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Königsberg school of mathematics
Target entity description: The Königsberg school of mathematics was a 19th-century mathematical tradition centered at the University of Königsberg, known for its influential work in analysis, geometry, and the training of prominent mathematicians.
  • A. Göttingen school of mathematics
    The Göttingen school of mathematics was a highly influential early 20th-century mathematical tradition centered at the University of Göttingen, renowned for groundbreaking work in analysis, topology, and mathematical physics under figures like David Hilbert and Felix Klein.
  • B. Saint Petersburg mathematical school
    The Saint Petersburg mathematical school is a renowned Russian tradition of mathematical research and education, particularly influential in probability theory, analysis, and mathematical logic.
  • C. Lwów School of Mathematics
    The Lwów School of Mathematics was a renowned early 20th-century Polish mathematical community centered in Lwów, famous for its groundbreaking work in functional analysis, set theory, and probability, and for its collaborative problem-solving culture documented in the Scottish Book.
  • D. Polish School of Mathematics
    The Polish School of Mathematics was a renowned early 20th-century mathematical tradition centered in cities like Warsaw and Lwów, noted for its groundbreaking work in areas such as functional analysis, topology, and logic.
  • E. Kraków School of Mathematics
    The Kraków School of Mathematics was a prominent early 20th-century Polish mathematical community centered in Kraków, known for significant contributions to areas such as analysis and differential equations.
  • 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_69d8d393ba9c8190a8b03b04ddbb0a09 completed April 10, 2026, 10:40 a.m.
NER Named-entity recognition batch_69e56d7660488190b4f70db963d05ef6 completed April 20, 2026, 12:04 a.m.
NED1 Entity disambiguation (via context triple) batch_6a05325b685c8190a2889755ed931973 completed May 14, 2026, 2:24 a.m.
NEDg Description generation batch_6a053410a8188190992d9fa6130ab372 completed May 14, 2026, 2:31 a.m.
NED2 Entity disambiguation (via description) batch_6a05349009e481909fb757415468aa70 completed May 14, 2026, 2:33 a.m.
Created at: April 10, 2026, 11:50 a.m.