Triple
T2394146
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Riemann zeta function |
E47609
|
entity |
| Predicate | functionalEquation |
P12675
|
FINISHED |
| Object | ζ(s) = 2^s π^{s-1} sin(πs/2) Γ(1-s) ζ(1-s) |
—
|
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) = 2^s π^{s-1} sin(πs/2) Γ(1-s) ζ(1-s) | Statement: [Riemann zeta function, functionalEquation, ζ(s) = 2^s π^{s-1} sin(πs/2) Γ(1-s) ζ(1-s)]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: functionalEquation
Context triple: [Riemann zeta function, functionalEquation, ζ(s) = 2^s π^{s-1} sin(πs/2) Γ(1-s) ζ(1-s)]
-
A.
mathematicallyExpressedBy
chosen
Indicates that something (such as a concept, quantity, or relationship) is represented or captured using a specific mathematical expression or formulation.
-
B.
EuclideanFunction
Indicates a relationship defined by a Euclidean distance–based function, typically mapping entities or their attributes to values derived from Euclidean metric properties.
-
C.
geometricFunction
Indicates a relationship where one entity serves as a geometric transformation or operation that, when applied, produces or modifies another geometric entity.
-
D.
isSolutionOf
Indicates that one entity is a correct answer or satisfies the conditions of a given problem, equation, or task.
-
E.
functorialityProperty
Indicates that a mapping between categories preserves the structure of composition and identity morphisms, behaving consistently with the rules of a functor.
- 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.