Triple
T19050905
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Dirichlet convolution |
E466252
|
entity |
| Predicate | preservesCompleteMultiplicativity |
P134893
|
FINISHED |
| Object | convolution of completely multiplicative functions need not be completely 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 completely multiplicative functions need not be completely multiplicative | Statement: [Dirichlet convolution, preservesCompleteMultiplicativity, convolution of completely multiplicative functions need not be completely multiplicative]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: preservesCompleteMultiplicativity Context triple: [Dirichlet convolution, preservesCompleteMultiplicativity, convolution of completely multiplicative functions need not be completely multiplicative]
-
A.
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.
-
B.
preservedCompletelyIn
Indicates that one entity is entirely and intactly maintained or conserved within another entity, without any loss or alteration.
-
C.
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.
-
D.
hasMultiplicationFormula
Indicates that there exists a specific multiplication-based formula or rule that defines or computes the value or behavior of the related entity.
-
E.
isComplexificationOf
Indicates that one entity is a more complex or elaborated version derived from another, simpler entity.
- 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.