Triple

T29562853
Position Surface form Disambiguated ID Type / Status
Subject Turán's theorem E750082 entity
Predicate extremalGraph P148126 FINISHED
Object Turán graph T_{r-1}(n) 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: Turán graph T_{r-1}(n) | Statement: [Turán's theorem, extremalGraph, Turán graph T_{r-1}(n)]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: extremalGraph
Context triple: [Turán's theorem, extremalGraph, Turán graph T_{r-1}(n)]
  • A. isExtremal
    Indicates that an entity represents an extreme (such as a maximum, minimum, or boundary) within a given set, structure, or ordering.
  • B. extremalFunction
    Indicates that a function attains an extreme value (such as a minimum or maximum) under given conditions or over a specified domain.
  • C. extremalCase
    Indicates a relationship where a situation, value, or configuration represents the most extreme or boundary case within a given set, range, or conditions.
  • D. isExtremalWhen
    Indicates that a given entity or configuration attains an extreme value (such as a maximum or minimum) of some specified quantity or property under certain conditions.
  • E. typicalExtremalFamily chosen
    Indicates that a given family of objects (such as sets or structures) exemplifies the standard or characteristic configuration that achieves an extremal bound in a particular combinatorial or optimization problem.
  • 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_69f0bd4919e48190942b2a13d5b97d03 completed April 28, 2026, 1:59 p.m.
NER Named-entity recognition batch_69f66d1e64e8819080579603e5bcdeb7 completed May 2, 2026, 9:31 p.m.
PD Predicate disambiguation batch_69f6633ac8a88190ab0cda62bbfcf9b0 completed May 2, 2026, 8:48 p.m.
Created at: April 28, 2026, 5:21 p.m.