Triple
T5570681
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Fermat number |
E146191
|
entity |
| Predicate | coprimeProperty |
P64870
|
FINISHED |
| Object | any two distinct Fermat numbers are coprime |
—
|
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: any two distinct Fermat numbers are coprime | Statement: [Fermat number, coprimeProperty, any two distinct Fermat numbers are coprime]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: coprimeProperty Context triple: [Fermat number, coprimeProperty, any two distinct Fermat numbers are coprime]
-
A.
primeInGaussianIntegersCondition
Indicates that a number remains prime when considered within the ring of Gaussian integers, typically meaning it cannot be factored nontrivially in that domain.
-
B.
isQuotientOf
Indicates that one quantity is the result of dividing another quantity by a specified divisor.
-
C.
firstCongruenceModulus
Indicates that the specified value is the modulus used in the first congruence of a system of modular equations or congruence relations.
-
D.
primeSplittingProperty
Indicates how a given prime number factors (splits, remains inert, or ramifies) in an extension of number fields or related algebraic structure.
-
E.
firstCongruence
Indicates that one entity is the initial or primary instance in a set of congruent (equivalent in form or measure) entities or relationships.
- 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_69c008ffed108190a084602227af6157 |
completed | March 22, 2026, 3:21 p.m. |
| NER | Named-entity recognition | batch_69c020502a288190af37f9ebb88fccae |
completed | March 22, 2026, 5:01 p.m. |
| PD | Predicate disambiguation | batch_69c01b12826c8190969a584d0f53aa44 |
completed | March 22, 2026, 4:38 p.m. |
| PDg | Predicate description generation | batch_69c01f4032408190a4f0d2eb21ebd870 |
completed | March 22, 2026, 4:56 p.m. |
Created at: March 22, 2026, 3:37 p.m.