Triple

T23624731
Position Surface form Disambiguated ID Type / Status
Subject Lipton–Tarjan separator theorem E583430 entity
Predicate componentSizeBound P142698 FINISHED
Object at most 2n/3 vertices per component 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: at most 2n/3 vertices per component | Statement: [Lipton–Tarjan separator theorem, componentSizeBound, at most 2n/3 vertices per component]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: componentSizeBound
Context triple: [Lipton–Tarjan separator theorem, componentSizeBound, at most 2n/3 vertices per component]
  • A. sizeRestriction chosen
    Indicates that there is a limitation or constraint on the allowable size or dimensions of something in the relationship.
  • B. includesSizeRange
    Indicates that one entity specifies or covers a particular range of sizes associated with another entity.
  • C. dimensionBoundType
    Indicates the type or nature of the constraint that bounds a given dimension in a relationship.
  • D. setSize
    Indicates assigning or changing the size or dimensions of an entity.
  • E. cellSize
    Indicates the physical dimensions or volume of a cell in a biological or computational context.
  • 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_69e248fc8d74819091bd5baef2f36f6f completed April 17, 2026, 2:51 p.m.
NER Named-entity recognition batch_69f1b17be6288190a409df700c1003bd completed April 29, 2026, 7:21 a.m.
PD Predicate disambiguation batch_69f118d0e0588190a86527a7747c5427 completed April 28, 2026, 8:30 p.m.
Created at: April 17, 2026, 6:46 p.m.