Triple

T17341192
Position Surface form Disambiguated ID Type / Status
Subject Banach–Mazur theorem E421069 entity
Predicate statesThat P34 FINISHED
Object for every separable Banach space X there exists a compact metric space K and an isometric linear embedding of X into C(K) LITERAL FINISHED

How this triple was built (1 step)

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: for every separable Banach space X there exists a compact metric space K and an isometric linear embedding of X into C(K) | Statement: [Banach–Mazur theorem, statesThat, for every separable Banach space X there exists a compact metric space K and an isometric linear embedding of X into C(K)]

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_69d889d3adc881909319f1edb8d2a956 completed April 10, 2026, 5:25 a.m.
NER Named-entity recognition batch_69e43a15f6488190ad7d489e7391ab12 completed April 19, 2026, 2:12 a.m.
Created at: April 10, 2026, 5:44 a.m.