Triple

T24822141
Position Surface form Disambiguated ID Type / Status
Subject Riesz representation theorem E621089 entity
Predicate statesThat P34 FINISHED
Object every continuous linear functional on a Hilbert space can be represented as an inner product with a unique vector in that space 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 linear functional on a Hilbert space can be represented as an inner product with a unique vector in that space | Statement: [Riesz representation theorem, statesThat, every continuous linear functional on a Hilbert space can be represented as an inner product with a unique vector in that space]

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_69e2fabfd4648190bd0e5c7f4dbb6cab completed April 18, 2026, 3:30 a.m.
NER Named-entity recognition batch_69f42298c7208190ab487b4dfcd1960b completed May 1, 2026, 3:48 a.m.
Created at: April 18, 2026, 5:04 a.m.