Triple

T17020492
Position Surface form Disambiguated ID Type / Status
Subject Littlewood–Paley theory E412933 entity
Predicate extendedBy P9926 FINISHED
Object Charles Fefferman E124664 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: Charles Fefferman | Statement: [Littlewood–Paley theory, extendedBy, Charles Fefferman]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Charles Fefferman
Context triple: [Littlewood–Paley theory, extendedBy, Charles Fefferman]
  • A. Charles Fefferman chosen
    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.
  • B. Elias Stein
    Elias Stein was a highly influential American mathematician renowned for his foundational contributions to harmonic analysis and his long tenure at Princeton University.
  • C. Peter Lax
    Peter Lax is a Hungarian-American mathematician renowned for his fundamental contributions to partial differential equations, numerical analysis, and fluid dynamics.
  • D. Ken Rudin
    Ken Rudin is a technology executive and entrepreneur best known for his leadership role in founding the enterprise software company Siebel Systems.
  • E. 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.
  • 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_69d886cc4170819093deddc7b8b4b6a7 completed April 10, 2026, 5:12 a.m.
NER Named-entity recognition batch_69e3d482c3a0819099e6ea4acb0a08ee completed April 18, 2026, 6:59 p.m.
NED1 Entity disambiguation (via context triple) batch_6a012334c3b48190b125ab926450c45b completed May 11, 2026, 12:30 a.m.
Created at: April 10, 2026, 5:33 a.m.