Triple
T15977118
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Cauchy functional equation |
E387476
|
entity |
| Predicate | typicalSolutionProperty |
P69697
|
FINISHED |
| Object | f(qx) = q f(x) for rational q |
—
|
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: f(qx) = q f(x) for rational q | Statement: [Cauchy functional equation, typicalSolutionProperty, f(qx) = q f(x) for rational q]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: typicalSolutionProperty Context triple: [Cauchy functional equation, typicalSolutionProperty, f(qx) = q f(x) for rational q]
-
A.
solutionProperty
chosen
Indicates that a solution possesses a specific characteristic, attribute, or quality relevant to its behavior, composition, or performance.
-
B.
solutionType
Indicates the specific category or kind of solution associated with an entity or problem.
-
C.
providesSolutionFor
Indicates that one entity offers or supplies a remedy, answer, or resolution to a problem, need, or issue associated with another entity.
-
D.
typicalProblem
Indicates that a situation, issue, or obstacle is representative or characteristic of the usual problems encountered in a given context.
-
E.
algorithmicProperty
Indicates that a subject possesses a specific characteristic, behavior, or quality defined in terms of an algorithm or computational procedure.
- 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_69d86da94ccc819083d187f5dc6a123e |
completed | April 10, 2026, 3:25 a.m. |
| NER | Named-entity recognition | batch_69e17d4d08f481909f38b75e3f42d9ab |
completed | April 17, 2026, 12:22 a.m. |
| PD | Predicate disambiguation | batch_69e142d9d8e881909b559a3e3ca21d24 |
completed | April 16, 2026, 8:13 p.m. |
Created at: April 10, 2026, 4:54 a.m.