Triple
T26255167
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Stern–Brocot tree |
E656695
|
entity |
| Predicate | relationToContinuedFractions |
P112552
|
FINISHED |
| Object | each rational’s path encodes its continued fraction |
—
|
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: each rational’s path encodes its continued fraction | Statement: [Stern–Brocot tree, relationToContinuedFractions, each rational’s path encodes its continued fraction]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: relationToContinuedFractions Context triple: [Stern–Brocot tree, relationToContinuedFractions, each rational’s path encodes its continued fraction]
-
A.
continuedFraction
Indicates that one quantity is represented as, or related to another through, a continued fraction expansion (an expression built from a sequence of nested fractions).
-
B.
simpleContinuedFraction
chosen
Indicates that one value is represented as, or related to another value through, its simple continued fraction expansion (using only integer terms).
-
C.
relationToBernoulliNumbers
Indicates a mathematical relationship or connection between an entity and the Bernoulli numbers, such as dependence, expression, or formulation in terms of them.
-
D.
relationToPolylogarithm
Indicates a mathematical relationship or connection between a given object (such as a function, expression, or value) and the polylogarithm function.
-
E.
isLimitOfRatioOfConsecutiveTerms
Indicates that one quantity is the limit of the ratio formed by dividing each term in a sequence by its immediately preceding term.
- 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_69ee5b4d25ac819086acb51184602576 |
completed | April 26, 2026, 6:37 p.m. |
| NER | Named-entity recognition | batch_69fe08d2b2e48190ac7be6d62d4a44a3 |
completed | May 8, 2026, 4:01 p.m. |
| PD | Predicate disambiguation | batch_69fe06cd3af08190ae25de0dc0cdd573 |
completed | May 8, 2026, 3:52 p.m. |
Created at: April 26, 2026, 9:08 p.m.