Triple
T29076367
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Miller primality test |
E735950
|
entity |
| Predicate | compositenessWitnessCondition |
P179926
|
FINISHED |
| Object | x ≠ 1 and x ≠ n−1 and no square equals n−1 modulo n |
—
|
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: x ≠ 1 and x ≠ n−1 and no square equals n−1 modulo n | Statement: [Miller primality test, compositenessWitnessCondition, x ≠ 1 and x ≠ n−1 and no square equals n−1 modulo n]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: compositenessWitnessCondition Context triple: [Miller primality test, compositenessWitnessCondition, x ≠ 1 and x ≠ n−1 and no square equals n−1 modulo n]
-
A.
hasPrimaryWitness
Indicates that an entity is the main or principal witness associated with another entity or event.
-
B.
hasPrimeModulus
Indicates that the associated entity or structure is defined over, or characterized by, a modulus that is a prime number.
-
C.
usesWitnessField
Indicates that an entity performs an action or process that relies on or incorporates a designated witness field as part of its operation or validation.
-
D.
verifiedByComputationUpTo
Indicates that the truth or validity of something has been confirmed by explicit computation up to a specified bound or limit.
-
E.
isMultiplicativelyIndecomposable
Indicates that an entity (typically a number or algebraic object) cannot be expressed as a nontrivial product of other entities of the same kind.
- 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_69f077e9b0a48190bb79548279cb7f64 |
completed | April 28, 2026, 9:03 a.m. |
| NER | Named-entity recognition | batch_69f72921cf2c8190909bb53f78bcc890 |
completed | May 3, 2026, 10:53 a.m. |
| PD | Predicate disambiguation | batch_69f7283d8cec8190b524c144948bc4ec |
completed | May 3, 2026, 10:49 a.m. |
| PDg | Predicate description generation | batch_69f72920c6208190aa4aba6cb6193109 |
completed | May 3, 2026, 10:53 a.m. |
Created at: April 28, 2026, 10:23 a.m.