Triple
T36409029
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Tate curve |
E896825
|
entity |
| Predicate | hasWeierstrassEquation |
P97265
|
FINISHED |
| Object | y^2 + xy = x^3 + a_4(q)x + a_6(q) |
—
|
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: y^2 + xy = x^3 + a_4(q)x + a_6(q) | Statement: [Tate curve, hasWeierstrassEquation, y^2 + xy = x^3 + a_4(q)x + a_6(q)]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: hasWeierstrassEquation Context triple: [Tate curve, hasWeierstrassEquation, y^2 + xy = x^3 + a_4(q)x + a_6(q)]
-
A.
isWeierstrassFormOf
Indicates that one mathematical object is the Weierstrass normal form representation of another, typically an elliptic curve.
-
B.
hasShortWeierstrassCoefficients
Indicates that an elliptic curve is associated with specific coefficient values in its short Weierstrass equation form.
-
C.
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.
-
D.
hasWeierstrassProduct
Indicates that one mathematical object is represented or characterized by a Weierstrass product expansion in terms of another.
-
E.
hasEquationForm
chosen
Indicates that one entity is expressed or represented in the form of a specific equation.
- 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_69f76e54ce408190849acc3f7758937c |
completed | May 3, 2026, 3:48 p.m. |
| NER | Named-entity recognition | batch_69f7c371931c8190afb1d4dd5157f92c |
completed | May 3, 2026, 9:51 p.m. |
| PD | Predicate disambiguation | batch_69f7c1b91fd88190ab85afd626603769 |
completed | May 3, 2026, 9:44 p.m. |
Created at: May 3, 2026, 4:10 p.m.