Triple

T18479794
Position Surface form Disambiguated ID Type / Status
Subject Vitali covering lemma E451527 entity
Predicate namedAfter P63 FINISHED
Object Giuseppe Vitali
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.
 E1327673 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: 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.
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: Giuseppe Vitali
Triple: [Vitali covering lemma, namedAfter, Giuseppe Vitali]
Generated 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.
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 (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_69d8d38465a0819099b9b42d2a662ac1 completed April 10, 2026, 10:40 a.m.
NER Named-entity recognition batch_69e53066a7108190a50eda9b489c90ca completed April 19, 2026, 7:43 p.m.
NED1 Entity disambiguation (via context triple) batch_6a04713658008190bacb6a16cd6cb719 completed May 13, 2026, 12:40 p.m.
NEDg Description generation batch_6a0472a21b588190ba1fce35f34166cd completed May 13, 2026, 12:46 p.m.
NED2 Entity disambiguation (via description) batch_6a04743126f88190983910523394649f completed May 13, 2026, 12:53 p.m.
Created at: April 10, 2026, 11:35 a.m.