Triple

T19050665
Position Surface form Disambiguated ID Type / Status
Subject Dirichlet eta function E466247 entity
Predicate relationToBernoulliNumbers P134882 FINISHED
Object values at negative integers expressible via Bernoulli numbers 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: values at negative integers expressible via Bernoulli numbers | Statement: [Dirichlet eta function, relationToBernoulliNumbers, values at negative integers expressible via Bernoulli numbers]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: relationToBernoulliNumbers
Context triple: [Dirichlet eta function, relationToBernoulliNumbers, values at negative integers expressible via Bernoulli numbers]
  • A. relationToDivisorFunction
    Indicates a relationship where one entity is connected to another through the mathematical divisor function (which maps a number to a value derived from its divisors).
  • B. zetaRelation
    Indicates a specialized, context-dependent association between entities whose exact nature is defined by the specific system or theory using the term "zetaRelation".
  • C. relationToEulerPhi
    Indicates a mathematical relationship between a value and Euler's totient function φ(n), such as being equal to, derived from, or otherwise functionally dependent on φ(n).
  • D. OEIS
    Indicates that there is a relationship to the On-Line Encyclopedia of Integer Sequences, typically referencing or identifying a specific integer sequence entry.
  • E. relationToVonNeumann
    Indicates a relationship in which one entity is connected or related in some specified way to John von Neumann.
  • 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_69d8dd040fb881909af2a964f65ad208 completed April 10, 2026, 11:20 a.m.
NER Named-entity recognition batch_69e5dc02597c8190b39fd2c7b7e42258 completed April 20, 2026, 7:55 a.m.
PD Predicate disambiguation batch_69e4b99633c8819097988608c278ecf8 completed April 19, 2026, 11:16 a.m.
PDg Predicate description generation batch_69e4c0fc3c4c8190abbfe06e1bd3325c completed April 19, 2026, 11:48 a.m.
Created at: April 10, 2026, 12:03 p.m.