Triple
T12597053
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Dirichlet series |
E300759
|
entity |
| Predicate | canHaveEulerProduct |
P96490
|
FINISHED |
| Object | when coefficients are multiplicative |
—
|
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: when coefficients are multiplicative | Statement: [Dirichlet series, canHaveEulerProduct, when coefficients are multiplicative]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: canHaveEulerProduct Context triple: [Dirichlet series, canHaveEulerProduct, when coefficients are multiplicative]
-
A.
hasEulerProduct
chosen
Indicates that a mathematical function or object can be expressed as an infinite product over prime numbers (an Euler product), typically reflecting a multiplicative structure.
-
B.
isProductOf
Indicates that one entity is the result or outcome produced by another entity or process.
-
C.
hasMultiplicationFormula
Indicates that there exists a specific multiplication-based formula or rule that defines or computes the value or behavior of the related entity.
-
D.
hasProduct
Indicates that an entity possesses, offers, or is associated with a particular product.
-
E.
hasWeierstrassProduct
Indicates that one mathematical object is represented or characterized by a Weierstrass product expansion in terms of another.
- 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.