Triple
T7078831
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Mordell curve |
E164890
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | elliptic curve |
C19256
|
CONCEPT FINISHED |
How this triple was built (1 step)
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.
CD
Concept disambiguation
gpt-5-mini-2025-08-07
Target class: elliptic curve Context triple: [Mordell curve, instanceOf, elliptic curve]
-
A.
curve over the rational numbers
A curve over the rational numbers is an algebraic curve defined by polynomial equations with rational coefficients, considered together with its set of rational solutions and their arithmetic properties.
-
B.
asymmetric cryptographic algorithm
An asymmetric cryptographic algorithm is a method that uses a mathematically related pair of keys—one public and one private—to enable secure operations such as encryption, decryption, and digital signatures without sharing secret keys.
-
C.
nonsingular curve
chosen
A nonsingular curve is an algebraic curve with no singular points, meaning it is smooth everywhere and has a well-defined tangent line at every point.
-
D.
cryptographic primitive
A cryptographic primitive is a low-level, well-defined algorithm or protocol (such as a hash function, block cipher, or digital signature scheme) that serves as a basic building block for constructing more complex cryptographic systems and protocols.
-
E.
circle method
The circle method is an analytic number theory technique that uses integration over the unit circle in the complex plane to estimate the number of representations of integers by various arithmetic functions.
- F. None of above.
Provenance (1 batch)
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_69c6887cbc6c8190bdfac42d940f4d8a |
completed | March 27, 2026, 1:39 p.m. |
Created at: March 27, 2026, 2:40 p.m.