Triple

T13035693
Position Surface form Disambiguated ID Type / Status
Subject Monge–Ampère equation E326554 entity
Predicate studiedBy P1945 FINISHED
Object Caffarelli
Caffarelli is a renowned mathematician known for his groundbreaking work in partial differential equations and regularity theory, particularly in the study of nonlinear elliptic equations.
 E1017917 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: Caffarelli | Statement: [Monge–Ampère equation, studiedBy, Caffarelli]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07 
Target entity: Caffarelli
Context triple: [Monge–Ampère equation, studiedBy, Caffarelli]
  • A. Rabinowitz
    Rabinowitz is the original family surname of renowned American choreographer and director Jerome Robbins.
  • B. Carleson
    Carleson is a surname of likely Scandinavian origin, most notably associated with Swedish mathematician Lennart Carleson, renowned for his fundamental contributions to harmonic analysis.
  • C. Paoletti
    Paoletti is an Italian surname, likely related etymologically or familiarly to the name Paolone.
  • D. Prochiantz
    Prochiantz is the surname of Alain Prochiantz, a prominent French neuroscientist known for his work on brain development and homeoprotein signaling.
  • E. Bressan
    Bressan is the demonym for inhabitants of the French town of Bourg-en-Bresse and its surrounding region.
  • 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: Caffarelli
Triple: [Monge–Ampère equation, studiedBy, Caffarelli]
Generated description
Caffarelli is a renowned mathematician known for his groundbreaking work in partial differential equations and regularity theory, particularly in the study of nonlinear elliptic equations.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07 
Target entity: Caffarelli
Target entity description: Caffarelli is a renowned mathematician known for his groundbreaking work in partial differential equations and regularity theory, particularly in the study of nonlinear elliptic equations.
  • A. Rabinowitz
    Rabinowitz is the original family surname of renowned American choreographer and director Jerome Robbins.
  • B. Carleson
    Carleson is a surname of likely Scandinavian origin, most notably associated with Swedish mathematician Lennart Carleson, renowned for his fundamental contributions to harmonic analysis.
  • C. Paoletti
    Paoletti is an Italian surname, likely related etymologically or familiarly to the name Paolone.
  • D. Prochiantz
    Prochiantz is the surname of Alain Prochiantz, a prominent French neuroscientist known for his work on brain development and homeoprotein signaling.
  • E. Bressan
    Bressan is the demonym for inhabitants of the French town of Bourg-en-Bresse and its surrounding region.
  • 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_69d8076cc45c81908123123f43e69266 completed April 9, 2026, 8:09 p.m.
NER Named-entity recognition batch_69d97effca908190ab89fdb034e02680 completed April 10, 2026, 10:51 p.m.
NED1 Entity disambiguation (via context triple) batch_69f6cbcf11f88190ab1746f973132af1 completed May 3, 2026, 4:15 a.m.
NEDg Description generation batch_69f6cee0a27081909203e3331186b4ca completed May 3, 2026, 4:28 a.m.
NED2 Entity disambiguation (via description) batch_69f6cf987f68819084edcd6613832fe8 completed May 3, 2026, 4:31 a.m.
Created at: April 9, 2026, 8:55 p.m.