Triple
T21494028
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Taniyama–Shimura–Weil conjecture |
E530307
|
entity |
| Predicate | provedInSpecialCaseBy |
P78876
|
FINISHED |
| Object | Andrew Wiles |
—
|
NE NERFINISHED |
How this triple was built (3 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: Andrew Wiles | Statement: [Taniyama–Shimura–Weil conjecture, provedInSpecialCaseBy, Andrew Wiles]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Andrew Wiles Context triple: [Taniyama–Shimura–Weil conjecture, provedInSpecialCaseBy, Andrew Wiles]
-
A.
Andrew Wiles
chosen
Andrew Wiles is a British mathematician renowned for proving Fermat’s Last Theorem, resolving a centuries-old problem in number theory.
-
B.
Ken Ribet
Ken Ribet is an American mathematician known for his work in number theory, particularly his proof of the epsilon conjecture, which played a crucial role in the eventual proof of Fermat’s Last Theorem.
-
C.
Robert Langlands
Robert Langlands is a Canadian mathematician best known for initiating the Langlands program, a far-reaching web of conjectures connecting number theory, representation theory, and geometry.
-
D.
Roger Heath-Brown
Roger Heath-Brown is a prominent British mathematician known for his influential work in analytic number theory, particularly on prime numbers and Diophantine equations.
-
E.
Manjul Bhargava
Manjul Bhargava is a Canadian-American mathematician renowned for his groundbreaking work in number theory, for which he received the Fields Medal in 2014.
- F. None of above.
- G. Unsure - the case is ambiguous/there is not enough information to decide.
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: provedInSpecialCaseBy Context triple: [Taniyama–Shimura–Weil conjecture, provedInSpecialCaseBy, Andrew Wiles]
-
A.
specialCaseOf
Indicates that one entity represents a more specific, exceptional, or restricted instance of the general situation, rule, or relationship expressed by another entity.
-
B.
partiallyProvenFor
chosen
Indicates that something has been shown to hold or be true for part of a domain or set of cases, but not yet for all cases.
-
C.
proved
Indicates that one entity has demonstrated the truth or validity of another entity (such as a statement, theorem, or claim) through logical or evidential means.
-
D.
independentlyProvedBy
Indicates that a statement or result is established by a proof that does not rely on or derive from another specified proof or source.
-
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 (3 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_69e0c45bd15481909fba5910765cdda2 |
completed | April 16, 2026, 11:13 a.m. |
| NER | Named-entity recognition | batch_69e9ea567244819091863350fedae3ae |
completed | April 23, 2026, 9:45 a.m. |
| PD | Predicate disambiguation | batch_69e631f6e68081908f5ee4ce7413803e |
completed | April 20, 2026, 2:02 p.m. |
Created at: April 16, 2026, 6:23 p.m.