Triple
T26254175
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | modular j-invariant |
E656674
|
entity |
| Predicate | isAlgebraicFunctionOf |
P72957
|
FINISHED |
| Object | lambda modular function on appropriate covers |
—
|
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: lambda modular function on appropriate covers | Statement: [modular j-invariant, isAlgebraicFunctionOf, lambda modular function on appropriate covers]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: isAlgebraicFunctionOf Context triple: [modular j-invariant, isAlgebraicFunctionOf, lambda modular function on appropriate covers]
-
A.
isAlgebraicNumber
Indicates that a given number is a root of some non-zero polynomial equation with rational (or equivalently, integer) coefficients.
-
B.
isAlgebraicOver
chosen
Indicates that one mathematical object satisfies a nontrivial polynomial equation whose coefficients lie in the other object (typically a field or ring), expressing algebraic dependence over that base.
-
C.
mathematicallyExpressedBy
Indicates that something (such as a concept, quantity, or relationship) is represented or captured using a specific mathematical expression or formulation.
-
D.
requiresSolvingAlgebraicEquations
Indicates that performing or completing an action depends on solving algebraic equations.
-
E.
functionalEquationPartProvedBy
Indicates that a specific part or component of a functional equation has been proven or established by a particular proof, method, or agent.
- 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_69ee5b4d25ac819086acb51184602576 |
completed | April 26, 2026, 6:37 p.m. |
| NER | Named-entity recognition | batch_69f60dcc29cc81908880bd825cb12141 |
completed | May 2, 2026, 2:44 p.m. |
| PD | Predicate disambiguation | batch_69f5f7ff548c8190a23e98c5e66e0bc7 |
completed | May 2, 2026, 1:11 p.m. |
Created at: April 26, 2026, 9:08 p.m.