Triple

T13035691
Position Surface form Disambiguated ID Type / Status
Subject Monge–Ampère equation E326554 entity
Predicate studiedBy P1945 FINISHED
Object Louis Nirenberg E143472 NE FINISHED

How this triple was built (2 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: Louis Nirenberg | Statement: [Monge–Ampère equation, studiedBy, Louis Nirenberg]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Louis Nirenberg
Context triple: [Monge–Ampère equation, studiedBy, Louis Nirenberg]
  • A. Louis Nirenberg chosen
    Louis Nirenberg was a Canadian-American mathematician renowned for his fundamental contributions to partial differential equations and geometric analysis.
  • B. Luis Caffarelli
    Luis Caffarelli is an Argentine-American mathematician renowned for his groundbreaking work in partial differential equations and regularity theory, including major contributions to the theory of free boundary problems and the Navier–Stokes equations.
  • C. Laurence Schwartz
    Laurence Schwartz was a French mathematician renowned for developing the theory of distributions, a fundamental tool in modern analysis and partial differential equations.
  • D. Peter Lax
    Peter Lax is a Hungarian-American mathematician renowned for his fundamental contributions to partial differential equations, numerical analysis, and fluid dynamics.
  • E. Charles Fefferman
    Charles Fefferman is an American mathematician renowned for his groundbreaking work in harmonic analysis, partial differential equations, and several complex variables, and is a Fields Medalist and long-time professor at Princeton University.
  • F. None of above.
  • G. Unsure - the case is ambiguous/there is not enough information to decide.

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_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.
Created at: April 9, 2026, 8:55 p.m.