Triple

T24822166
Position Surface form Disambiguated ID Type / Status
Subject Riesz representation theorem E621089 entity
Predicate relatedTo P37 FINISHED
Object Riesz–Markov–Kakutani representation theorem
The Riesz–Markov–Kakutani representation theorem is a fundamental result in functional analysis that characterizes positive linear functionals on spaces of continuous functions as integrals with respect to unique regular Borel measures.
E1653575 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: Riesz–Markov–Kakutani representation theorem | Statement: [Riesz representation theorem, relatedTo, Riesz–Markov–Kakutani representation theorem]
NEDg Description generation gpt-5.1
Instruction
Generate a one-sentence description of the target entity. 
You are given a context triple in the form (subject, predicate, object), where the object is the target entity. 
# Instructions
Use the triple to infer relevant information about the entity. Describe the entity based on what is most defining, well-known. 
Avoid repeating the information from the triple, unless really essential.
# Response Format
Return only the sentence: "Description: [one-sentence description of the target entity]"
Input
Entity: Riesz–Markov–Kakutani representation theorem
Triple: [Riesz representation theorem, relatedTo, Riesz–Markov–Kakutani representation theorem]
Generated description
The Riesz–Markov–Kakutani representation theorem is a fundamental result in functional analysis that characterizes positive linear functionals on spaces of continuous functions as integrals with respect to unique regular Borel measures.

Provenance (5 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.
NED1 Entity disambiguation (via context triple) batch_6a101c3fe7908190840e6e31eab5abbc completed May 22, 2026, 9:05 a.m.
NEDg Description generation batch_6a1027e435748190a727eb58546d634f completed May 22, 2026, 9:54 a.m.
NED2 Entity disambiguation (via description) batch_6a1028f3eb648190a16d7ad44a76aa54 completed May 22, 2026, 9:59 a.m.
Created at: April 18, 2026, 5:04 a.m.