Triple
T19050904
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Dirichlet convolution |
E466252
|
entity |
| Predicate | preservesMultiplicativity |
P105607
|
FINISHED |
| Object | convolution of multiplicative functions is 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: convolution of multiplicative functions is multiplicative | Statement: [Dirichlet convolution, preservesMultiplicativity, convolution of multiplicative functions is multiplicative]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: preservesMultiplicativity Context triple: [Dirichlet convolution, preservesMultiplicativity, convolution of multiplicative functions is multiplicative]
-
A.
multiplicative
Indicates a relationship where one quantity is obtained by multiplying another quantity (or quantities), often expressing scaling, proportionality, or product-based interaction between them.
-
B.
completelyMultiplicative
Indicates that the function preserves multiplication exactly, meaning its value at any product equals the product of its values at the factors for all inputs.
-
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.
multiplicativeOnCoprimeArguments
chosen
Indicates that the function behaves multiplicatively when applied to arguments that are coprime, i.e., its value on a product of coprime inputs equals the product of its values on each input.
-
E.
isProportionalityFactorIn
Indicates that one quantity serves as the proportionality factor (constant of proportionality) in a specified proportional relationship or equation.
- 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_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. |
Created at: April 10, 2026, 12:03 p.m.