Triple

T10055500
Position Surface form Disambiguated ID Type / Status
Subject Hilbert’s fourteenth problem E208850 entity
Predicate hasCounterexampleProvidedBy P64864 FINISHED
Object Masayoshi Nagata
Masayoshi Nagata was a Japanese mathematician renowned for his influential work in commutative algebra and algebraic geometry, including providing a famous counterexample to Hilbert’s fourteenth problem.
E838587 NE FINISHED

How this triple was built (5 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: Masayoshi Nagata | Statement: [Hilbert’s fourteenth problem, hasCounterexampleProvidedBy, Masayoshi Nagata]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Masayoshi Nagata
Context triple: [Hilbert’s fourteenth problem, hasCounterexampleProvidedBy, Masayoshi Nagata]
  • A. Kunihiko Kodaira
    Kunihiko Kodaira was a Japanese mathematician renowned for his foundational work in algebraic geometry and complex manifolds, for which he received the Fields Medal in 1954.
  • B. Kōno Hironaka
    Kōno Hironaka was a prominent Japanese politician and activist known for his leadership role in the Freedom and People’s Rights Movement during the Meiji era, advocating for constitutional government and civil liberties.
  • C. Goro Shimura
    Goro Shimura was a Japanese mathematician renowned for his foundational work in number theory and arithmetic geometry, including the Shimura–Taniyama conjecture that played a key role in the proof of Fermat’s Last Theorem.
  • D. Seiichi Itō
    Seiichi Itō was a Japanese admiral in the Imperial Japanese Navy, best known for commanding the battleship Yamato’s final mission during World War II.
  • E. Oscar Zariski
    Oscar Zariski was a pioneering 20th-century mathematician whose work fundamentally shaped modern algebraic geometry through his rigorous, abstract approach and influential textbooks.
  • 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: Masayoshi Nagata
Triple: [Hilbert’s fourteenth problem, hasCounterexampleProvidedBy, Masayoshi Nagata]
Generated description
Masayoshi Nagata was a Japanese mathematician renowned for his influential work in commutative algebra and algebraic geometry, including providing a famous counterexample to Hilbert’s fourteenth problem.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Masayoshi Nagata
Target entity description: Masayoshi Nagata was a Japanese mathematician renowned for his influential work in commutative algebra and algebraic geometry, including providing a famous counterexample to Hilbert’s fourteenth problem.
  • A. Kunihiko Kodaira
    Kunihiko Kodaira was a Japanese mathematician renowned for his foundational work in algebraic geometry and complex manifolds, for which he received the Fields Medal in 1954.
  • B. Kōno Hironaka
    Kōno Hironaka was a prominent Japanese politician and activist known for his leadership role in the Freedom and People’s Rights Movement during the Meiji era, advocating for constitutional government and civil liberties.
  • C. Goro Shimura
    Goro Shimura was a Japanese mathematician renowned for his foundational work in number theory and arithmetic geometry, including the Shimura–Taniyama conjecture that played a key role in the proof of Fermat’s Last Theorem.
  • D. Seiichi Itō
    Seiichi Itō was a Japanese admiral in the Imperial Japanese Navy, best known for commanding the battleship Yamato’s final mission during World War II.
  • E. Oscar Zariski
    Oscar Zariski was a pioneering 20th-century mathematician whose work fundamentally shaped modern algebraic geometry through his rigorous, abstract approach and influential textbooks.
  • F. None of above. chosen
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: hasCounterexampleProvidedBy
Context triple: [Hilbert’s fourteenth problem, hasCounterexampleProvidedBy, Masayoshi Nagata]
  • A. hasCounterexample chosen
    Indicates that there exists at least one specific case or instance that disproves or violates a given claim, rule, or general statement.
  • B. hasExample
    Indicates that one entity serves as an instance, illustration, or concrete example of another entity.
  • C. hasNonExample
    Indicates that something is associated with an instance that explicitly does not satisfy or illustrate a given concept, rule, or category.
  • D. hasCorollary
    Indicates that one statement, result, or proposition follows as a corollary from another, typically more general, statement.
  • E. provedUndecidableUsing
    Indicates that the undecidability of one problem, theory, or statement was established by applying or reducing it to another specific method, result, or formal system.
  • F. None of above.

Provenance (6 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_69ca836094408190a36a1ea7e9a86fcd completed March 30, 2026, 2:06 p.m.
NER Named-entity recognition batch_69cdcfacacd08190abe66f8bb17b92c7 completed April 2, 2026, 2:08 a.m.
NED1 Entity disambiguation (via context triple) batch_69d29a49cb208190b56d991a523efbac completed April 5, 2026, 5:22 p.m.
NEDg Description generation batch_69d29b7430248190b8965eaf1286dd7c completed April 5, 2026, 5:27 p.m.
NED2 Entity disambiguation (via description) batch_69d29c7ba9f081908f4614098d6c954b completed April 5, 2026, 5:31 p.m.
PD Predicate disambiguation batch_69cd4b8d2280819089de27e57babd1f3 completed April 1, 2026, 4:45 p.m.
Created at: March 30, 2026, 8:57 p.m.