Triple
T23620767
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Bernoulli polynomials |
E583311
|
entity |
| Predicate | differentialEquation |
P153303
|
FINISHED |
| Object | B_n^{(k)}(x) = n(n-1)…(n-k+1) B_{n-k}(x) |
—
|
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: B_n^{(k)}(x) = n(n-1)…(n-k+1) B_{n-k}(x) | Statement: [Bernoulli polynomials, differentialEquation, B_n^{(k)}(x) = n(n-1)…(n-k+1) B_{n-k}(x)]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: differentialEquation
Context triple: [Bernoulli polynomials, differentialEquation, B_n^{(k)}(x) = n(n-1)…(n-k+1) B_{n-k}(x)]
-
A.
differential
Indicates a relationship where one quantity or state is defined as the infinitesimal change or difference relative to another variable or function.
-
B.
differentials
Indicates that there are measurable differences or distinctions between two or more related quantities, states, or conditions.
-
C.
isDifferential
Indicates that one quantity represents the infinitesimal change or derivative of another with respect to a given variable.
-
D.
typicalPDE
Indicates that the subject is a typical or representative instance of the predicate domain or class denoted by the object.
-
E.
hasDifferentials
Indicates that one entity possesses or is associated with differential components, mechanisms, or calculations relative to another 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_69e248fbcd9081908ba08913f9d30826 |
completed | April 17, 2026, 2:51 p.m. |
| NER | Named-entity recognition | batch_69f1b178d20c819094b547c6c7ae6c01 |
completed | April 29, 2026, 7:21 a.m. |
| PD | Predicate disambiguation | batch_69f118d0e0588190a86527a7747c5427 |
completed | April 28, 2026, 8:30 p.m. |
| PDg | Predicate description generation | batch_69f138b8c9248190b059bc38a9a50958 |
completed | April 28, 2026, 10:46 p.m. |
Created at: April 17, 2026, 6:45 p.m.