Triple

T25433457
Position Surface form Disambiguated ID Type / Status
Subject Pólya’s theorem on random walks E637316 entity
Predicate implies P1661 FINISHED
Object in dimensions three and higher the probability of ever returning to the origin is less than 1 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: in dimensions three and higher the probability of ever returning to the origin is less than 1 | Statement: [Pólya’s theorem on random walks, implies, in dimensions three and higher the probability of ever returning to the origin is less than 1]

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_69e75db6c97081908178383fa632b193 completed April 21, 2026, 11:21 a.m.
NER Named-entity recognition batch_69f5f6dc7d088190b1e4c191172ea256 completed May 2, 2026, 1:06 p.m.
Created at: April 21, 2026, 1:59 p.m.