Triple
T18479794
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Vitali covering lemma |
E451527
|
entity |
| Predicate | namedAfter |
P63
|
FINISHED |
| Object | Giuseppe Vitali |
—
|
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: Giuseppe Vitali | Statement: [Vitali covering lemma, namedAfter, Giuseppe Vitali]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Giuseppe Vitali Context triple: [Vitali covering lemma, namedAfter, Giuseppe Vitali]
-
A.
Guido Fubini
Guido Fubini was an Italian mathematician best known for his foundational work in analysis and for formulating Fubini's theorem on the interchange of order of integration.
-
B.
Renato Caccioppoli
Renato Caccioppoli was a prominent 20th-century Italian mathematician known for his influential work in mathematical analysis and partial differential equations.
-
C.
Ulisse Dini
Ulisse Dini was an Italian mathematician known for his contributions to real analysis and the theory of functions, including Dini's theorem on uniform convergence.
-
D.
Enrico Betti
Enrico Betti was a 19th-century Italian mathematician best known for his foundational work in topology, particularly the introduction of Betti numbers.
-
E.
Carlo Pareschi
Carlo Pareschi was an Italian Fascist politician and minister who was tried and executed in 1944 for his role in the Italian Social Republic.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Giuseppe Vitali Target entity description: Giuseppe Vitali was an Italian mathematician known for his foundational contributions to measure theory and real analysis, including the Vitali set and several important theorems and lemmas.
-
A.
Guido Fubini
Guido Fubini was an Italian mathematician best known for his foundational work in analysis and for formulating Fubini's theorem on the interchange of order of integration.
-
B.
Renato Caccioppoli
Renato Caccioppoli was a prominent 20th-century Italian mathematician known for his influential work in mathematical analysis and partial differential equations.
-
C.
Ulisse Dini
Ulisse Dini was an Italian mathematician known for his contributions to real analysis and the theory of functions, including Dini's theorem on uniform convergence.
-
D.
Enrico Betti
Enrico Betti was a 19th-century Italian mathematician best known for his foundational work in topology, particularly the introduction of Betti numbers.
-
E.
Carlo Pareschi
Carlo Pareschi was an Italian Fascist politician and minister who was tried and executed in 1944 for his role in the Italian Social Republic.
- F. None of above. chosen
Provenance (2 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_69d8d38465a0819099b9b42d2a662ac1 |
completed | April 10, 2026, 10:40 a.m. |
| NER | Named-entity recognition | batch_69e53066a7108190a50eda9b489c90ca |
completed | April 19, 2026, 7:43 p.m. |
Created at: April 10, 2026, 11:35 a.m.