Triple
T6833398
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Gaussian rationals ℚ(i) |
E157390
|
entity |
| Predicate | primeSplitting |
P27192
|
FINISHED |
| Object | odd prime p ≡ 1 mod 4 splits 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 ≡ 1 mod 4 splits in ℚ(i) | Statement: [Gaussian rationals ℚ(i), primeSplitting, odd prime p ≡ 1 mod 4 splits in ℚ(i)]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: primeSplitting Context triple: [Gaussian rationals ℚ(i), primeSplitting, odd prime p ≡ 1 mod 4 splits in ℚ(i)]
-
A.
primeSplittingProperty
chosen
Indicates how a given prime number factors (splits, remains inert, or ramifies) in an extension of number fields or related algebraic structure.
-
B.
ramifiedPrime
Indicates that a prime number factors into repeated prime ideals in the ring of integers of a number field, showing that it ramifies in that extension.
-
C.
fieldOfFractions
Indicates that one mathematical structure is the field formed by taking all possible fractions of elements from a given integral domain.
-
D.
isRingOfIntegersOf
Indicates that one mathematical structure is the ring of integers associated with a given number field or algebraic extension.
-
E.
primeFactorization
Indicates that one entity is the decomposition of another entity into a multiset or sequence of prime factors whose product equals the original.
- 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.