Triple

T21046759
Position Surface form Disambiguated ID Type / Status
Subject Knaster–Kuratowski–Mazurkiewicz lemma E518469 entity
Predicate namedAfter P63 FINISHED
Object Kazimierz Kuratowski 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: Kazimierz Kuratowski | Statement: [Knaster–Kuratowski–Mazurkiewicz lemma, namedAfter, Kazimierz Kuratowski]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Kazimierz Kuratowski
Context triple: [Knaster–Kuratowski–Mazurkiewicz lemma, namedAfter, Kazimierz Kuratowski]
  • A. Kazimierz Kuratowski chosen
    Kazimierz Kuratowski was a prominent Polish mathematician best known for his foundational work in topology and set theory, including Kuratowski's closure axioms and Kuratowski's theorem on planar graphs.
  • B. 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.
  • C. Karol Borsuk
    Karol Borsuk was a Polish mathematician best known for his contributions to topology, including the Borsuk–Ulam theorem and work on retracts and shape theory.
  • D. 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.
  • E. Wacław Sierpiński
    Wacław Sierpiński was a prominent Polish mathematician known for his foundational work in set theory, number theory, and topology, and for introducing famous fractal objects such as the Sierpiński triangle and Sierpiński carpet.
  • 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_69e0b50438e08190917e2538bb8bc034 completed April 16, 2026, 10:08 a.m.
NER Named-entity recognition batch_69e6fcf4d26481908b639996500a8319 completed April 21, 2026, 4:28 a.m.
Created at: April 16, 2026, 2:34 p.m.