Triple

T2394162
Position Surface form Disambiguated ID Type / Status
Subject Riemann zeta function E47609 entity
Predicate valuesAtEvenIntegers P37889 FINISHED
Object ζ(2n) expressed using Bernoulli numbers and powers of π 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: ζ(2n) expressed using Bernoulli numbers and powers of π | Statement: [Riemann zeta function, valuesAtEvenIntegers, ζ(2n) expressed using Bernoulli numbers and powers of π]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: valuesAtEvenIntegers
Context triple: [Riemann zeta function, valuesAtEvenIntegers, ζ(2n) expressed using Bernoulli numbers and powers of π]
  • A. EuclideanFunction
    Indicates a relationship defined by a Euclidean distance–based function, typically mapping entities or their attributes to values derived from Euclidean metric properties.
  • B. evaCount
    Indicates a relationship where a specific count or number is associated with an evaluation-related event, action, or occurrence.
  • C. adjacentValley
    Indicates that one valley is directly next to or bordering another valley.
  • D. notableExponents
    Indicates that certain entities are especially prominent, influential, or exemplary practitioners or representatives of a given field, movement, or activity.
  • E. oppositeNumber
    Indicates that one number is the additive inverse of the other, such that their sum equals zero.
  • F. None of above. chosen

Provenance (4 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_69a88a1c450c81909f61abb8b6863885 completed March 4, 2026, 7:38 p.m.
NER Named-entity recognition batch_69abc87827d88190bb2351a688e6de32 completed March 7, 2026, 6:40 a.m.
PD Predicate disambiguation batch_69abc5a3825c81909ec6111dfc165453 completed March 7, 2026, 6:28 a.m.
PDg Predicate description generation batch_69abc664317c8190a6bb5a5065c21bde completed March 7, 2026, 6:32 a.m.
Created at: March 4, 2026, 7:57 p.m.