Triple
T18397362
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Brahmagupta |
E449902
|
entity |
| Predicate | knownFor |
P22
|
FINISHED |
| Object | Brahmagupta–Fibonacci identity |
—
|
NE NERFINISHED |
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: Brahmagupta–Fibonacci identity | Statement: [Brahmagupta, knownFor, Brahmagupta–Fibonacci identity]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Brahmagupta–Fibonacci identity Context triple: [Brahmagupta, knownFor, Brahmagupta–Fibonacci identity]
-
A.
Brahmagupta–Fibonacci identity
chosen
The Brahmagupta–Fibonacci identity is a classical algebraic formula showing that the product of two sums of two squares can itself be expressed as a sum of two squares, fundamental in number theory and the study of quadratic forms.
-
B.
Fermat's theorem on sums of two squares
Fermat's theorem on sums of two squares is a result in number theory stating exactly which prime numbers (and, more generally, which integers) can be expressed as the sum of two perfect squares.
-
C.
Lagrange's four-square theorem
Lagrange's four-square theorem is a fundamental result in number theory stating that every natural number can be expressed as the sum of four integer squares.
-
D.
chakravala method for solving indeterminate equations
The chakravala method for solving indeterminate equations is an ancient Indian cyclic algorithm, notably used to solve Pell-type quadratic Diophantine equations with remarkable efficiency and generality.
-
E.
Legendre's three-square theorem
Legendre's three-square theorem is a result in number theory that characterizes exactly which positive integers can be expressed as the sum of three squares of integers.
- F. None of above.
- G. Unsure - the case is ambiguous/there is not enough information to decide.
Provenance (2 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_69d8b9fab8a8819086a9ddc0871715e0 |
completed | April 10, 2026, 8:51 a.m. |
| NER | Named-entity recognition | batch_69e5184777548190818365ee52ac88b7 |
completed | April 19, 2026, 6 p.m. |
Created at: April 10, 2026, 10:46 a.m.