Triple
T2408412
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Klein quartic |
E50328
|
entity |
| Predicate | isBelyiCurve |
P39257
|
FINISHED |
| Object | yes |
—
|
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: yes | Statement: [Klein quartic, isBelyiCurve, yes]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: isBelyiCurve Context triple: [Klein quartic, isBelyiCurve, yes]
-
A.
isSimplyConnected
Indicates that a topological space has no "holes," meaning every loop within it can be continuously contracted to a single point.
-
B.
isIntegrallyClosed
Indicates that a ring (or similar algebraic structure) contains all elements of its field of fractions that are integral over it, i.e., it has no proper integral extension within its field of fractions.
-
C.
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.
-
D.
isRingOfIntegersOf
Indicates that one mathematical structure is the ring of integers associated with a given number field or algebraic extension.
-
E.
isIntegralFormOf
Indicates that one entity is the integral (indefinite integral or antiderivative) form corresponding to another entity, typically a derivative or differential expression.
- 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_69a88b0339a88190a1207333cd271cc9 |
completed | March 4, 2026, 7:41 p.m. |
| NER | Named-entity recognition | batch_69abceab9ce881909ae0a2f34515c11e |
completed | March 7, 2026, 7:07 a.m. |
| PD | Predicate disambiguation | batch_69abc5a530e8819094105aa92dfaf6b3 |
completed | March 7, 2026, 6:28 a.m. |
| PDg | Predicate description generation | batch_69abceaa42b88190a790355100fede3d |
completed | March 7, 2026, 7:07 a.m. |
Created at: March 4, 2026, 7:58 p.m.