Triple
T6482555
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Gamma function |
E146428
|
entity |
| Predicate | agreesWithFactorialOn |
P71170
|
FINISHED |
| Object | Γ(n+1)=n! for n∈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: Γ(n+1)=n! for n∈ℕ | Statement: [Gamma function, agreesWithFactorialOn, Γ(n+1)=n! for n∈ℕ]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: agreesWithFactorialOn Context triple: [Gamma function, agreesWithFactorialOn, Γ(n+1)=n! for n∈ℕ]
-
A.
isProportionalityFactorIn
Indicates that one quantity serves as the proportionality factor (constant of proportionality) in a specified proportional relationship or equation.
-
B.
FIBACode
Indicates a relationship where an entity is assigned or associated with a specific FIBA (International Basketball Federation) identification code.
-
C.
considersFactor
Indicates that one entity takes another entity into account as a factor when forming a judgment, decision, or evaluation.
-
D.
isQuotientOf
Indicates that one quantity is the result of dividing another quantity by a specified divisor.
-
E.
primeFactorization
Indicates that one entity is the decomposition of another entity into a multiset or sequence of prime factors whose product equals the original.
- 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_69c0090158c08190af0df9a2348d2d52 |
completed | March 22, 2026, 3:21 p.m. |
| NER | Named-entity recognition | batch_69c06a6cd0c4819085a921e6a361d91c |
completed | March 22, 2026, 10:17 p.m. |
| PD | Predicate disambiguation | batch_69c0673f6d48819080e10c85155c7195 |
completed | March 22, 2026, 10:03 p.m. |
| PDg | Predicate description generation | batch_69c06822f73081908e6bb9edecbe77a6 |
completed | March 22, 2026, 10:07 p.m. |
Created at: March 22, 2026, 4:51 p.m.