Triple
T6833399
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Gaussian rationals ℚ(i) |
E157390
|
entity |
| Predicate | primeInertness |
P27193
|
FINISHED |
| Object | odd prime p ≡ 3 mod 4 is inert in ℚ(i) |
—
|
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: odd prime p ≡ 3 mod 4 is inert in ℚ(i) | Statement: [Gaussian rationals ℚ(i), primeInertness, odd prime p ≡ 3 mod 4 is inert in ℚ(i)]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: primeInertness Context triple: [Gaussian rationals ℚ(i), primeInertness, odd prime p ≡ 3 mod 4 is inert in ℚ(i)]
-
A.
primeCondition
Indicates that a condition or requirement is primary, fundamental, or of highest priority within a given context.
-
B.
primeInGaussianIntegersCondition
chosen
Indicates that a number remains prime when considered within the ring of Gaussian integers, typically meaning it cannot be factored nontrivially in that domain.
-
C.
excludesPrimes
Indicates that one entity omits, leaves out, or does not include prime-numbered elements or items from a specified set or collection.
-
D.
primeFactorization
Indicates that one entity is the decomposition of another entity into a multiset or sequence of prime factors whose product equals the original.
-
E.
notablePrime
Indicates that a number is a prime with special significance or prominence (for example, due to unique properties, historical importance, or frequent use).
- 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_69c6882c53608190b99aebef079b23bd |
completed | March 27, 2026, 1:37 p.m. |
| NER | Named-entity recognition | batch_69c6d62b1e8c8190a81d91191a54b073 |
completed | March 27, 2026, 7:10 p.m. |
| PD | Predicate disambiguation | batch_69c6d09d95f0819091ca7f897dc21efe |
completed | March 27, 2026, 6:46 p.m. |
Created at: March 27, 2026, 2:18 p.m.