Triple
T27674993
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Euler’s identity for sine product |
E697754
|
entity |
| Predicate | hasMathematicalObjectType |
P43795
|
FINISHED |
| Object | identity involving entire functions |
—
|
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: identity involving entire functions | Statement: [Euler’s identity for sine product, hasMathematicalObjectType, identity involving entire functions]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: hasMathematicalObjectType Context triple: [Euler’s identity for sine product, hasMathematicalObjectType, identity involving entire functions]
-
A.
mathematicalObject
chosen
Indicates that the subject is a mathematical entity or construct, such as a number, function, set, or structure, within a mathematical context.
-
B.
hasMathematicalProperty
Indicates that one entity possesses or exhibits a specific mathematical property or characteristic.
-
C.
hasMathematicalTopic
Indicates that one entity is associated with, involves, or is about a particular mathematical topic represented by the other entity.
-
D.
hasMathematicalDiscipline
Indicates that one entity is associated with or characterized by a particular branch or field of mathematics.
-
E.
Mini-MathematikumInstanceOf
Indicates that something is classified as an instance or example of the Mini-Mathematikum concept or category.
- 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_69ef590d458c81909583290c3cd0478b |
completed | April 27, 2026, 12:39 p.m. |
| NER | Named-entity recognition | batch_69fe7b1c506c8190869c1a22031e0571 |
completed | May 9, 2026, 12:09 a.m. |
| PD | Predicate disambiguation | batch_69fe796b2bdc8190a86980d44008f875 |
completed | May 9, 2026, 12:01 a.m. |
Created at: April 27, 2026, 2:43 p.m.