Triple
T21494348
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Carmichael number |
E530314
|
entity |
| Predicate | symbolicDefinition |
P144605
|
FINISHED |
| Object | n is Carmichael iff n is composite and a^(n−1) ≡ 1 (mod n) for all a with gcd(a,n)=1 |
—
|
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: n is Carmichael iff n is composite and a^(n−1) ≡ 1 (mod n) for all a with gcd(a,n)=1 | Statement: [Carmichael number, symbolicDefinition, n is Carmichael iff n is composite and a^(n−1) ≡ 1 (mod n) for all a with gcd(a,n)=1]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: symbolicDefinition Context triple: [Carmichael number, symbolicDefinition, n is Carmichael iff n is composite and a^(n−1) ≡ 1 (mod n) for all a with gcd(a,n)=1]
-
A.
hasSymbolicInterpretation
Indicates that one entity is understood or used as a symbolic representation or metaphorical stand-in for another entity or concept.
-
B.
symbolizedIn
Indicates that one entity serves as a symbol or representation of another entity.
-
C.
hasSymbolicForm
Indicates that one entity serves as the symbolic representation or abstract form of another entity.
-
D.
symbolicRelation
Indicates a relationship where one entity stands for, represents, or conveys meaning about another through symbols or abstract signs.
-
E.
symbolDescription
Indicates that a symbol is associated with or defined by a particular descriptive explanation or meaning.
- 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_69e0c45bd15481909fba5910765cdda2 |
completed | April 16, 2026, 11:13 a.m. |
| NER | Named-entity recognition | batch_69e9ea567244819091863350fedae3ae |
completed | April 23, 2026, 9:45 a.m. |
| PD | Predicate disambiguation | batch_69e631f6e68081908f5ee4ce7413803e |
completed | April 20, 2026, 2:02 p.m. |
| PDg | Predicate description generation | batch_69e6386c5a4481909c37f7de7e9fc025 |
completed | April 20, 2026, 2:30 p.m. |
Created at: April 16, 2026, 6:23 p.m.