Triple

T4927188
Position Surface form Disambiguated ID Type / Status
Subject Weierstrass approximation theorem E110605 entity
Predicate statement P4223 FINISHED
Object Every continuous real-valued function on a closed and bounded interval can be uniformly approximated by polynomials. 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: Every continuous real-valued function on a closed and bounded interval can be uniformly approximated by polynomials. | Statement: [Weierstrass approximation theorem, statement, Every continuous real-valued function on a closed and bounded interval can be uniformly approximated by polynomials.]

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_69bd4415190c8190817bee7ec9f9f944 completed March 20, 2026, 12:56 p.m.
NER Named-entity recognition batch_69bd70354bd081909291a43439f42ed3 completed March 20, 2026, 4:05 p.m.
Created at: March 20, 2026, 1:30 p.m.