Triple
T23737484
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Catalan numbers |
E586576
|
entity |
| Predicate | generalTermFormula |
P81134
|
FINISHED |
| Object | C_n = (1/(n+1)) * binomial(2n, n) |
—
|
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: C_n = (1/(n+1)) * binomial(2n, n) | Statement: [Catalan numbers, generalTermFormula, C_n = (1/(n+1)) * binomial(2n, n)]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: generalTermFormula Context triple: [Catalan numbers, generalTermFormula, C_n = (1/(n+1)) * binomial(2n, n)]
-
A.
hasGeneralFormula
chosen
Indicates that an entity (such as a class of compounds or expressions) is characterized by a general or canonical formula that represents all its specific instances.
-
B.
previousGeneralTerm
Indicates that one term is an earlier or preceding general term in a sequence or hierarchy relative to another term.
-
C.
baseOfExponentialTerm
Indicates that one quantity serves as the base in an exponential expression or term involving another quantity as the exponent.
-
D.
isLimitOfRatioOfConsecutiveTerms
Indicates that one quantity is the limit of the ratio formed by dividing each term in a sequence by its immediately preceding term.
-
E.
primePowerFormula
Indicates that a value is computed using a formula specifically involving powers of prime numbers.
- 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_69e24907dc9c8190be074c9c96a0ec2d |
completed | April 17, 2026, 2:51 p.m. |
| NER | Named-entity recognition | batch_69f1bad356c88190ae29ce403145ee73 |
completed | April 29, 2026, 8:01 a.m. |
| PD | Predicate disambiguation | batch_69f155f012808190a4b1cbc155558ade |
completed | April 29, 2026, 12:50 a.m. |
Created at: April 17, 2026, 7:11 p.m.