Triple

T32308671
Position Surface form Disambiguated ID Type / Status
Subject Hilbert transform E825432 entity
Predicate relatedConcept P37 FINISHED
Object Bedrosian theorem
Bedrosian theorem is a result in signal processing and harmonic analysis that characterizes when the Hilbert transform of a product of two functions equals one function times the Hilbert transform of the other, typically under non-overlapping spectral support conditions.
E2001861 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: Bedrosian theorem | Statement: [Hilbert transform, relatedConcept, Bedrosian 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: Bedrosian theorem
Triple: [Hilbert transform, relatedConcept, Bedrosian theorem]
Generated description
Bedrosian theorem is a result in signal processing and harmonic analysis that characterizes when the Hilbert transform of a product of two functions equals one function times the Hilbert transform of the other, typically under non-overlapping spectral support conditions.

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_69f3491213b88190a57094d8697a7455 completed April 30, 2026, 12:20 p.m.
NER Named-entity recognition batch_69f6bd89d3dc8190988bb54d492fd4a5 completed May 3, 2026, 3:14 a.m.
NED1 Entity disambiguation (via context triple) batch_6a3057150e248190b133df53f0740a89 completed June 15, 2026, 7:48 p.m.
NEDg Description generation batch_6a305b3b5c6081909df15137b882e230 completed June 15, 2026, 8:06 p.m.
NED2 Entity disambiguation (via description) batch_6a305b977fa48190a19a2569afe41cc9 completed June 15, 2026, 8:07 p.m.
Created at: May 1, 2026, 12:45 a.m.