Triple

T12596999
Position Surface form Disambiguated ID Type / Status
Subject Jordan’s totient functions E300758 entity
Predicate valueAtPrime P43786 FINISHED
Object J_k(p) = p^k - 1 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: J_k(p) = p^k - 1 | Statement: [Jordan’s totient functions, valueAtPrime, J_k(p) = p^k - 1]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: valueAtPrime
Context triple: [Jordan’s totient functions, valueAtPrime, J_k(p) = p^k - 1]
  • A. valueAt chosen
    Indicates that one entity specifies the value or content associated with another entity at a particular point, position, or context.
  • B. value
    Indicates that one entity possesses, represents, or corresponds to a particular quantity, quality, or assigned worth.
  • C. notablePrime
    Indicates that a number is a prime with special significance or prominence (for example, due to unique properties, historical importance, or frequent use).
  • D. valuedBy
    Indicates that one entity is regarded as important, useful, or held in high esteem by another entity.
  • E. primeCondition
    Indicates that a condition or requirement is primary, fundamental, or of highest priority within a given 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_69d7bdea2ca881908f379526c13b1145 completed April 9, 2026, 2:55 p.m.
NER Named-entity recognition batch_69d954e6e20481908bca684c4b497c48 completed April 10, 2026, 7:52 p.m.
PD Predicate disambiguation batch_69d95416cbd88190b2c65196162349bc completed April 10, 2026, 7:48 p.m.
Created at: April 9, 2026, 5:08 p.m.