Triple
T25073670
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Pontryagin classes |
E627990
|
entity |
| Predicate | WhitneySumFormula |
P157612
|
FINISHED |
| Object | p(E⊕F)=p(E)·p(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: p(E⊕F)=p(E)·p(F) | Statement: [Pontryagin classes, WhitneySumFormula, p(E⊕F)=p(E)·p(F)]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: WhitneySumFormula Context triple: [Pontryagin classes, WhitneySumFormula, p(E⊕F)=p(E)·p(F)]
-
A.
EulerCharacteristic
Indicates the topological invariant of a space that equals, in a suitable decomposition, the alternating sum of the counts of its cells (e.g., vertices − edges + faces).
-
B.
CartanFormula
Indicates how a derivation or differential operator acts on a product, expressing the result as a graded Leibniz rule that distributes over the product with appropriate signs.
-
C.
definesCohomologyClass
Indicates that one mathematical object (such as a cocycle, form, or map) specifies or determines a particular cohomology class in a given cohomology group.
-
D.
cohomologyClassLiesIn
Indicates that a given cohomology class belongs to, or is an element of, a specified cohomology group or subspace.
-
E.
dimensionOfAssociatedLattice
Indicates the dimensionality (number of independent directions) of the lattice that is associated with a given object or structure.
- 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_69e2ff2d71dc8190b4758e57d643cbe4 |
completed | April 18, 2026, 3:49 a.m. |
| NER | Named-entity recognition | batch_69f45d177c3881909ac5058e3e866d93 |
completed | May 1, 2026, 7:58 a.m. |
| PD | Predicate disambiguation | batch_69f442c861188190967655c6d8012380 |
completed | May 1, 2026, 6:06 a.m. |
| PDg | Predicate description generation | batch_69f448fe11f08190bdd53ca7ba2d51e4 |
completed | May 1, 2026, 6:32 a.m. |
Created at: April 18, 2026, 6:19 a.m.