Triple
T12597011
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Jordan’s totient functions |
E300758
|
entity |
| Predicate | relationToDivisorFunction |
P105605
|
FINISHED |
| Object | J_k is related to the k-th power identity function id_k via Möbius inversion |
—
|
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 is related to the k-th power identity function id_k via Möbius inversion | Statement: [Jordan’s totient functions, relationToDivisorFunction, J_k is related to the k-th power identity function id_k via Möbius inversion]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: relationToDivisorFunction Context triple: [Jordan’s totient functions, relationToDivisorFunction, J_k is related to the k-th power identity function id_k via Möbius inversion]
-
A.
isQuotientOf
Indicates that one quantity is the result of dividing another quantity by a specified divisor.
-
B.
relatedDivide
Indicates that one entity divides or partitions another entity in a way that is contextually or relationally significant, rather than purely numerical.
-
C.
zetaRelation
Indicates a specialized, context-dependent association between entities whose exact nature is defined by the specific system or theory using the term "zetaRelation".
-
D.
usesDivisor
Indicates that one entity employs another entity as a divisor in a division or modular arithmetic operation.
-
E.
EuclideanFunction
Indicates a relationship defined by a Euclidean distance–based function, typically mapping entities or their attributes to values derived from Euclidean metric properties.
- 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_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. |
| PDg | Predicate description generation | batch_69d954e351f88190869220d46e0ce282 |
completed | April 10, 2026, 7:52 p.m. |
Created at: April 9, 2026, 5:08 p.m.