Triple
T2394141
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Riemann zeta function |
E47609
|
entity |
| Predicate | EulerProduct |
P12675
|
FINISHED |
| Object | ζ(s) = ∏_{p prime} (1 - p^{-s})^{-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: ζ(s) = ∏_{p prime} (1 - p^{-s})^{-1} | Statement: [Riemann zeta function, EulerProduct, ζ(s) = ∏_{p prime} (1 - p^{-s})^{-1}]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: EulerProduct
Context triple: [Riemann zeta function, EulerProduct, ζ(s) = ∏_{p prime} (1 - p^{-s})^{-1}]
-
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.
primeFactorization
Indicates that one entity is the decomposition of another entity into a multiset or sequence of prime factors whose product equals the original.
-
C.
mathematicallyExpressedBy
chosen
Indicates that something (such as a concept, quantity, or relationship) is represented or captured using a specific mathematical expression or formulation.
-
D.
logarithmBaseDetermines
Indicates that the chosen base of a logarithm determines how a quantity is expressed or scaled in logarithmic terms.
-
E.
isIntegralFormOf
Indicates that one entity is the integral (indefinite integral or antiderivative) form corresponding to another entity, typically a derivative or differential expression.
- 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_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. |
Created at: March 4, 2026, 7:57 p.m.