Triple
T6833068
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | cyclotomic field |
E157383
|
entity |
| Predicate | hasRamifiedPrimes |
P27194
|
FINISHED |
| Object | primes dividing 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: primes dividing n | Statement: [cyclotomic field, hasRamifiedPrimes, primes dividing n]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: hasRamifiedPrimes Context triple: [cyclotomic field, hasRamifiedPrimes, primes dividing n]
-
A.
ramifiedPrime
chosen
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.
-
B.
primeSplittingProperty
Indicates how a given prime number factors (splits, remains inert, or ramifies) in an extension of number fields or related algebraic structure.
-
C.
isRingOfIntegersOf
Indicates that one mathematical structure is the ring of integers associated with a given number field or algebraic extension.
-
D.
hasPrimeModulus
Indicates that the associated entity or structure is defined over, or characterized by, a modulus that is a prime number.
-
E.
excludesPrimes
Indicates that one entity omits, leaves out, or does not include prime-numbered elements or items from a specified set or collection.
- 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.