Triple
T33320268
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Stiefel–Whitney classes |
E853116
|
entity |
| Predicate | multiplicativity |
P105601
|
FINISHED |
| Object | total Stiefel–Whitney class is multiplicative under direct sum |
—
|
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: total Stiefel–Whitney class is multiplicative under direct sum | Statement: [Stiefel–Whitney classes, multiplicativity, total Stiefel–Whitney class is multiplicative under direct sum]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: multiplicativity Context triple: [Stiefel–Whitney classes, multiplicativity, total Stiefel–Whitney class is multiplicative under direct sum]
-
A.
multiplicative
chosen
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.
multiplicity
Indicates the number of instances of one entity that can or must be associated with a single instance of another entity within a relationship.
-
C.
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.
-
D.
preservesCompleteMultiplicativity
Indicates that the relationship or operation maintains the property of complete multiplicativity, meaning the image of a completely multiplicative function remains completely multiplicative under it.
-
E.
isMultiplicativelyIndecomposable
Indicates that an entity (typically a number or algebraic object) cannot be expressed as a nontrivial product of other entities of the same kind.
- 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_69f349685f088190b8fda44083a018a9 |
completed | April 30, 2026, 12:22 p.m. |
| NER | Named-entity recognition | batch_69f6e3156ea48190b604e414665ef351 |
completed | May 3, 2026, 5:54 a.m. |
| PD | Predicate disambiguation | batch_69f6de0b9ba48190887c9eb5d06a2e94 |
completed | May 3, 2026, 5:32 a.m. |
Created at: May 1, 2026, 1:33 a.m.