Triple

T179283
Position Surface form Disambiguated ID Type / Status
Subject Kakutani fixed-point theorem E3648 entity
Predicate namedAfter P63 FINISHED
Object Shizuo Kakutani
Shizuo Kakutani was a Japanese-American mathematician renowned for his contributions to functional analysis and probability theory, including the formulation of the Kakutani fixed-point theorem.
E30873 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: Shizuo Kakutani | Statement: [Kakutani fixed-point theorem, namedAfter, Shizuo Kakutani]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Shizuo Kakutani
Context triple: [Kakutani fixed-point theorem, namedAfter, Shizuo Kakutani]
  • A. Minoru Ōta
    Minoru Ōta was an Imperial Japanese Navy rear admiral who led the defense of the Oroku Peninsula during the Battle of Okinawa in World War II and became known for his final message praising the Okinawan people.
  • B. Tomoyuki Yamashita
    Tomoyuki Yamashita was a prominent Imperial Japanese Army general during World War II, best known for his rapid conquest of Malaya and Singapore and later defense of the Philippines.
  • C. Hirofumi Yoshimura
    Hirofumi Yoshimura is a Japanese politician who serves as the governor of Osaka Prefecture and is a prominent figure in regional reform politics.
  • D. Kakuei Tanaka
    Kakuei Tanaka was a powerful and controversial Japanese prime minister and political kingmaker who dominated postwar politics through his influence within the Liberal Democratic Party.
  • E. Hata Shunroku
    Hata Shunroku was a senior Imperial Japanese Army general who played a major leadership role in Japan’s military campaigns during the Second Sino-Japanese War and World War II, later convicted as a war criminal.
  • 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: Shizuo Kakutani
Triple: [Kakutani fixed-point theorem, namedAfter, Shizuo Kakutani]
Generated description
Shizuo Kakutani was a Japanese-American mathematician renowned for his contributions to functional analysis and probability theory, including the formulation of the Kakutani fixed-point theorem.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Shizuo Kakutani
Target entity description: Shizuo Kakutani was a Japanese-American mathematician renowned for his contributions to functional analysis and probability theory, including the formulation of the Kakutani fixed-point theorem.
  • A. Minoru Ōta
    Minoru Ōta was an Imperial Japanese Navy rear admiral who led the defense of the Oroku Peninsula during the Battle of Okinawa in World War II and became known for his final message praising the Okinawan people.
  • B. Tomoyuki Yamashita
    Tomoyuki Yamashita was a prominent Imperial Japanese Army general during World War II, best known for his rapid conquest of Malaya and Singapore and later defense of the Philippines.
  • C. Hirofumi Yoshimura
    Hirofumi Yoshimura is a Japanese politician who serves as the governor of Osaka Prefecture and is a prominent figure in regional reform politics.
  • D. Kakuei Tanaka
    Kakuei Tanaka was a powerful and controversial Japanese prime minister and political kingmaker who dominated postwar politics through his influence within the Liberal Democratic Party.
  • E. Hata Shunroku
    Hata Shunroku was a senior Imperial Japanese Army general who played a major leadership role in Japan’s military campaigns during the Second Sino-Japanese War and World War II, later convicted as a war criminal.
  • 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_69a25374990081909766d30c79a18e0e completed Feb. 28, 2026, 2:31 a.m.
NER Named-entity recognition batch_69a25900709c8190a65e778936be5dd5 completed Feb. 28, 2026, 2:54 a.m.
NED1 Entity disambiguation (via context triple) batch_69a3672cae0c819086233f16cc2003de completed Feb. 28, 2026, 10:07 p.m.
NEDg Description generation batch_69a367aa62f481908414358a21667187 completed Feb. 28, 2026, 10:09 p.m.
NED2 Entity disambiguation (via description) batch_69a3686970ac81908ba7efe90feb26fd completed Feb. 28, 2026, 10:12 p.m.
Created at: Feb. 28, 2026, 2:39 a.m.