Triple
T6482558
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Gamma function |
E146428
|
entity |
| Predicate | hasDuplicationFormula |
P71173
|
FINISHED |
| Object | Γ(z)Γ(z+1/2)=2^{1-2z}√π Γ(2z) |
—
|
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(z)Γ(z+1/2)=2^{1-2z}√π Γ(2z) | Statement: [Gamma function, hasDuplicationFormula, Γ(z)Γ(z+1/2)=2^{1-2z}√π Γ(2z)]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: hasDuplicationFormula
Context triple: [Gamma function, hasDuplicationFormula, Γ(z)Γ(z+1/2)=2^{1-2z}√π Γ(2z)]
-
A.
hasChemicalFormula
Indicates that one entity (typically a chemical substance) is characterized by or associated with a specific chemical formula representing its elemental composition.
-
B.
hasFormulation
Indicates that one entity is expressed, prepared, or configured in a particular form or composition defined by another entity.
-
C.
recitesFormula
Indicates that one entity verbally or mentally repeats a specific formula, such as a set phrase, equation, or ritual wording, typically from memory.
-
D.
keyFormula
Indicates that a formula serves as the primary or defining expression associated with an entity or relationship.
-
E.
hasNameInFormula
Indicates that an entity is referred to by a specific name or symbol within a formula or formal expression.
- 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.