Triple

T5425398
Position Surface form Disambiguated ID Type / Status
Subject Schauder fixed-point theorem E121350 entity
Predicate namedAfter P63 FINISHED
Object Juliusz Schauder E395345 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: Juliusz Schauder | Statement: [Schauder fixed-point theorem, namedAfter, Juliusz Schauder]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Juliusz Schauder
Context triple: [Schauder fixed-point theorem, namedAfter, Juliusz Schauder]
  • A. Juliusz Schauder chosen
    Juliusz Schauder was a Polish mathematician renowned for his fundamental contributions to functional analysis and partial differential equations, including the development of Schauder fixed-point theory and Schauder estimates.
  • B. Kazimierz Marcinkiewicz
    Kazimierz Marcinkiewicz is a Polish conservative politician who briefly served as Prime Minister of Poland in the mid-2000s.
  • C. Bronisław Knaster
    Bronisław Knaster was a Polish mathematician known for his contributions to topology and set theory and as a prominent member of the interwar Polish mathematical community.
  • D. Jerzy Kaczmarz
    Jerzy Kaczmarz was a Polish mathematician best known for introducing the Kaczmarz method, an influential iterative algorithm for solving systems of linear equations.
  • E. Edward Marczewski
    Edward Marczewski was a Polish mathematician known for his contributions to measure theory, topology, and probability, and for his role in the development of the Polish school of mathematics.
  • 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_69bd463b58d88190b258261573de9e91 completed March 20, 2026, 1:06 p.m.
NER Named-entity recognition batch_69bd881598448190a9bb456dee36004b completed March 20, 2026, 5:47 p.m.
NED1 Entity disambiguation (via context triple) batch_69bf3abfc7e88190b8f0a31b61c33973 completed March 22, 2026, 12:41 a.m.
Created at: March 20, 2026, 2:06 p.m.