Triple
T12596988
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Jordan’s totient functions |
E300758
|
entity |
| Predicate | definitionInformal |
P62235
|
FINISHED |
| Object | J_k(n) counts ordered k-tuples of integers modulo n that form a generating set for the additive group Z/nZ |
—
|
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(n) counts ordered k-tuples of integers modulo n that form a generating set for the additive group Z/nZ | Statement: [Jordan’s totient functions, definitionInformal, J_k(n) counts ordered k-tuples of integers modulo n that form a generating set for the additive group Z/nZ]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: definitionInformal Context triple: [Jordan’s totient functions, definitionInformal, J_k(n) counts ordered k-tuples of integers modulo n that form a generating set for the additive group Z/nZ]
-
A.
definitionText
chosen
Indicates the textual content that provides the definition or explanatory meaning of a concept, term, or entity.
-
B.
definitionInvolves
Indicates that the meaning or explanation of one concept necessarily includes or depends on another concept.
-
C.
informalNotation
Indicates that an entity is represented or expressed using a non-standard, simplified, or colloquial form of notation rather than a formal or fully rigorous one.
-
D.
hasInformalUsage
Indicates that something is used in casual or non-standard contexts rather than in formal or official usage.
-
E.
defined
Indicates that one entity specifies, explains, or establishes the meaning, scope, or identity of another entity.
- 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.