Triple
T6833067
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | cyclotomic field |
E157383
|
entity |
| Predicate | hasPrimeDecomposition |
P72933
|
FINISHED |
| Object | rational primes factor according to congruence conditions 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: rational primes factor according to congruence conditions modulo n | Statement: [cyclotomic field, hasPrimeDecomposition, rational primes factor according to congruence conditions modulo n]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: hasPrimeDecomposition Context triple: [cyclotomic field, hasPrimeDecomposition, rational primes factor according to congruence conditions modulo n]
-
A.
primeFactorization
Indicates that one entity is the decomposition of another entity into a multiset or sequence of prime factors whose product equals the original.
-
B.
hasPrimeModulus
Indicates that the associated entity or structure is defined over, or characterized by, a modulus that is a prime number.
-
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.
hasCombinatorialNature
Indicates that something possesses properties or behavior fundamentally based on combinations, arrangements, or discrete configurations of elements.
-
E.
hasZeroDivisors
Indicates that within a given algebraic structure, there exist nonzero elements whose product is zero, i.e., the structure contains zero divisors.
- 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_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. |
| PDg | Predicate description generation | batch_69c6d11fab808190b18160ff3829fcc6 |
completed | March 27, 2026, 6:49 p.m. |
Created at: March 27, 2026, 2:18 p.m.