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.