Triple
T12597002
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Jordan’s totient functions |
E300758
|
entity |
| Predicate | convolutionRelation |
P90314
|
FINISHED |
| Object | J_k = μ * id_k |
—
|
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: J_k = μ * id_k | Statement: [Jordan’s totient functions, convolutionRelation, J_k = μ * id_k]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: convolutionRelation Context triple: [Jordan’s totient functions, convolutionRelation, J_k = μ * id_k]
-
A.
hasConvolutionProperty
chosen
Indicates that one entity possesses a convolution-related characteristic or behavior in relation to another entity or operation.
-
B.
convolutionIdentity
Indicates that one element acts as the identity under convolution, leaving the other element unchanged when convolved with it.
-
C.
continuityRelation
Indicates a relationship where one entity directly follows, extends, or maintains an unbroken connection with another in space, time, or logical sequence.
-
D.
derivativeRelation
Indicates that one entity is derived, obtained, or results from another through some transformation, computation, or dependency.
-
E.
zetaRelation
Indicates a specialized, context-dependent association between entities whose exact nature is defined by the specific system or theory using the term "zetaRelation".
- 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_69d7bdea2ca881908f379526c13b1145 |
completed | April 9, 2026, 2:55 p.m. |
| NER | Named-entity recognition | batch_69d954e6e20481908bca684c4b497c48 |
completed | April 10, 2026, 7:52 p.m. |
| PD | Predicate disambiguation | batch_69d95416cbd88190b2c65196162349bc |
completed | April 10, 2026, 7:48 p.m. |
Created at: April 9, 2026, 5:08 p.m.