Triple

T32816513
Position Surface form Disambiguated ID Type / Status
Subject Kesten’s theorem on random walks on groups E839308 entity
Predicate involvesObject P1256 FINISHED
Object Markov operator on ℓ² of the group 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: Markov operator on ℓ² of the group | Statement: [Kesten’s theorem on random walks on groups, involvesObject, Markov operator on ℓ² of the group]

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_69f3493df9008190a8f5d843dcd77704 completed April 30, 2026, 12:21 p.m.
NER Named-entity recognition batch_69f6cdcfd4608190a2355f5fb7d3eb7b completed May 3, 2026, 4:23 a.m.
Created at: May 1, 2026, 1:15 a.m.