Triple

T25433021
Position Surface form Disambiguated ID Type / Status
Subject Roth's theorem E637307 entity
Predicate sharpens P3261 FINISHED
Object Liouville's theorem on Diophantine approximation NE NERFINISHED

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: Liouville's theorem on Diophantine approximation | Statement: [Roth's theorem, sharpens, Liouville's theorem on Diophantine approximation]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: sharpens
Context triple: [Roth's theorem, sharpens, Liouville's theorem on Diophantine approximation]
  • A. sharpeningType
    Indicates the method or style by which something is sharpened or made sharper.
  • B. sharpnessCondition
    Indicates the condition or degree of sharpness that something possesses or is required to have.
  • C. strengthens chosen
    Indicates that one entity increases the power, effectiveness, or resilience of another.
  • D. sharpnessWitnessedBy
    Indicates that the sharpness of an object or edge is observed, perceived, or recorded by a particular witness or observer.
  • E. bladeEdge
    Indicates that one entity is the cutting edge or sharpened boundary of a blade-related object in relation to another entity.
  • F. None of above.

Provenance (3 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_69e75db58a1c8190891b9ff7c2f8414e completed April 21, 2026, 11:21 a.m.
NER Named-entity recognition batch_69f5f6dc7d088190b1e4c191172ea256 completed May 2, 2026, 1:06 p.m.
PD Predicate disambiguation batch_69f4683b34748190818428489a226124 completed May 1, 2026, 8:45 a.m.
Created at: April 21, 2026, 1:58 p.m.