Triple

T5729425
Position Surface form Disambiguated ID Type / Status
Subject Banach fixed-point theorem E126344 entity
Predicate namedAfter P63 FINISHED
Object Stefan Banach E94307 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: Stefan Banach | Statement: [Banach fixed-point theorem, namedAfter, Stefan Banach]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Stefan Banach
Context triple: [Banach fixed-point theorem, namedAfter, Stefan Banach]
  • A. Stefan Banach chosen
    Stefan Banach was a pioneering Polish mathematician and one of the founders of modern functional analysis, known for fundamental contributions to measure theory, topology, and Banach spaces.
  • B. Hugo Steinhaus
    Hugo Steinhaus was a prominent Polish mathematician and co-founder of the Lwów School of Mathematics, known for significant contributions to functional analysis, probability theory, and game theory.
  • C. Juliusz Schauder
    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.
  • D. Kazimierz Marcinkiewicz
    Kazimierz Marcinkiewicz is a Polish conservative politician who briefly served as Prime Minister of Poland in the mid-2000s.
  • E. Władysław Orlicz
    Władysław Orlicz was a Polish mathematician best known for his fundamental contributions to functional analysis and the introduction of Orlicz spaces.
  • 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_69c0082f723881908ce8bb13a0c0f8b7 completed March 22, 2026, 3:18 p.m.
NER Named-entity recognition batch_69c0250d5f4c8190a36b43ef5e6c7837 completed March 22, 2026, 5:21 p.m.
NED1 Entity disambiguation (via context triple) batch_69c07dffe45481909eb617e40c83bd14 completed March 22, 2026, 11:40 p.m.
Created at: March 22, 2026, 3:47 p.m.