Triple
T33320267
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Stiefel–Whitney classes |
E853116
|
entity |
| Predicate | additivity |
P4232
|
FINISHED |
| Object | w(E ⊕ F) = w(E) ∪ w(F) |
—
|
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: w(E ⊕ F) = w(E) ∪ w(F) | Statement: [Stiefel–Whitney classes, additivity, w(E ⊕ F) = w(E) ∪ w(F)]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: additivity Context triple: [Stiefel–Whitney classes, additivity, w(E ⊕ F) = w(E) ∪ w(F)]
-
A.
isAdditiveFor
chosen
Indicates that one entity can be combined with another in a way that their effects or quantities sum together to produce a cumulative result.
-
B.
additiveNotation
Indicates that something is expressed or represented using addition-based mathematical notation (e.g., using “+” and sums) rather than another form of representation.
-
C.
nonAdditivityNote
Indicates that there is a note explaining that the combined effect of multiple factors is not simply the sum of their individual effects.
-
D.
isAdditivelyIndecomposable
Indicates that an entity (typically an ordinal or algebraic object) cannot be expressed as a nontrivial sum of two smaller entities of the same kind.
-
E.
isCountablyAdditive
Indicates that a measure or function preserves additivity over countable collections, meaning the value on a countable union of disjoint sets equals the sum of its values on each set.
- 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_69f6f38159d08190980ad639e08f00f4 |
completed | May 3, 2026, 7:04 a.m. |
| PD | Predicate disambiguation | batch_69f6e3d7bee48190b94e0beb48a1d7fa |
completed | May 3, 2026, 5:57 a.m. |
Created at: May 1, 2026, 1:33 a.m.