Triple

T36013457
Position Surface form Disambiguated ID Type / Status
Subject Paul Halmos E1041772 entity
Predicate knownFor P22 FINISHED
Object Halmos dilation theorem
The Halmos dilation theorem is a fundamental result in operator theory that shows every contraction on a Hilbert space can be realized as the compression of a unitary operator on a larger Hilbert space.
 E2165241 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: Halmos dilation theorem | Statement: [Paul Halmos, knownFor, Halmos dilation 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: Halmos dilation theorem
Triple: [Paul Halmos, knownFor, Halmos dilation theorem]
Generated description
The Halmos dilation theorem is a fundamental result in operator theory that shows every contraction on a Hilbert space can be realized as the compression of a unitary operator on a larger Hilbert space.

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_69f76e2b981881908e4e160607fa82eb completed May 3, 2026, 3:47 p.m.
NER Named-entity recognition batch_69f7acb563308190be62bcccd3203001 completed May 3, 2026, 8:14 p.m.
NED1 Entity disambiguation (via context triple) batch_6a38bffa789c8190ad0eacda673adc9f completed June 22, 2026, 4:54 a.m.
NEDg Description generation batch_6a38c0b9e5508190ae451756483ea6f8 completed June 22, 2026, 4:57 a.m.
NED2 Entity disambiguation (via description) batch_6a38c14a3b6c81908d6bcb4ed8316a28 completed June 22, 2026, 4:59 a.m.
Created at: May 3, 2026, 4:07 p.m.