Triple

T25433032
Position Surface form Disambiguated ID Type / Status
Subject Roth's theorem E637307 entity
Predicate isOptimalIn P27210 FINISHED
Object exponent of q in the approximation inequality LITERAL 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: exponent of q in the approximation inequality | Statement: [Roth's theorem, isOptimalIn, exponent of q in the approximation inequality]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: isOptimalIn
Context triple: [Roth's theorem, isOptimalIn, exponent of q in the approximation inequality]
  • A. canBeOptimizedFor
    Indicates that one entity is capable of being improved or adjusted to perform better with respect to another specified criterion, context, or target.
  • B. typeOfOptimality chosen
    Indicates that one entity specifies the particular notion or criterion of optimality that characterizes another entity’s optimal status or solution.
  • C. isVisibleBestIn
    Indicates that an entity is considered the most visible or prominent within a specified context or set.
  • D. supportsOptimizationAlgorithm
    Indicates that one entity is capable of running, integrating, or being compatible with a specified optimization algorithm.
  • E. isPerfect
    Indicates that an entity possesses all required qualities or characteristics to the highest or complete degree, without flaws or deficiencies.
  • 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.