Triple

T22150707
Position Surface form Disambiguated ID Type / Status
Subject Bourgain–Tzafriri restricted invertibility principle E547403 entity
Predicate provedBy P202 FINISHED
Object Jean Bourgain NE NERFINISHED

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: Jean Bourgain | Statement: [Bourgain–Tzafriri restricted invertibility principle, provedBy, Jean Bourgain]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Jean Bourgain
Context triple: [Bourgain–Tzafriri restricted invertibility principle, provedBy, Jean Bourgain]
  • A. Jean Bourgain chosen
    Jean Bourgain was a Belgian mathematician renowned for his groundbreaking work in analysis, number theory, and combinatorics, and for receiving the Fields Medal in 1994.
  • B. Mickaël Bourgain
    Mickaël Bourgain is a French track cyclist known for his success in sprint events, including winning multiple world championship medals and an Olympic bronze.
  • C. 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.
  • D. Cédric Villani
    Cédric Villani is a French mathematician renowned for his work in partial differential equations and mathematical physics, for which he received the Fields Medal in 2010.
  • E. Terence Tao
    Terence Tao is an Australian-American mathematician renowned for his groundbreaking work in harmonic analysis, partial differential equations, additive combinatorics, and analytic number theory.
  • F. None of above.
  • G. Unsure - the case is ambiguous/there is not enough information to decide.

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_69e11e3b52088190ad5df386d01eb2fb completed April 16, 2026, 5:36 p.m.
NER Named-entity recognition batch_69f129f37dac8190a7cecb12f4271515 completed April 28, 2026, 9:43 p.m.
Created at: April 16, 2026, 8:33 p.m.