Triple
T25550006
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Mordell curve |
E640411
|
entity |
| Predicate | hasShortWeierstrassCoefficients |
P158863
|
FINISHED |
| Object | a = 0, b = k |
—
|
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: a = 0, b = k | Statement: [Mordell curve, hasShortWeierstrassCoefficients, a = 0, b = k]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: hasShortWeierstrassCoefficients Context triple: [Mordell curve, hasShortWeierstrassCoefficients, a = 0, b = k]
-
A.
isWeierstrassFormOf
Indicates that one mathematical object is the Weierstrass normal form representation of another, typically an elliptic curve.
-
B.
hasWeierstrassPoints
Indicates that a given algebraic curve possesses one or more Weierstrass points, i.e., special points where the gap sequence of holomorphic differentials deviates from the generic case.
-
C.
isElliptic
Indicates that something has the shape or properties of an ellipse, or conforms to an elliptic form or structure.
-
D.
hasCanonicalCurve
Indicates that an entity is associated with its standard or officially recognized curve representation.
-
E.
isComplexMultiplicationField
Indicates that a given field is a number field obtained by adjoining complex multiplication (i.e., it is a CM field, a totally imaginary quadratic extension of a totally real number field).
- 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_69e75dc101a881909fd33b02174e9768 |
completed | April 21, 2026, 11:21 a.m. |
| NER | Named-entity recognition | batch_69f5f8c583e48190a2a1f65d80a2b589 |
completed | May 2, 2026, 1:14 p.m. |
| PD | Predicate disambiguation | batch_69f480789be08190ab252a6de3797200 |
completed | May 1, 2026, 10:29 a.m. |
| PDg | Predicate description generation | batch_69f48b9058d081908ec9af261ee092e2 |
completed | May 1, 2026, 11:16 a.m. |
Created at: April 21, 2026, 3:36 p.m.