Triple
T14334534
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Ramanujan–Nagell equation |
E355435
|
entity |
| Predicate | quadraticVariable |
P113089
|
FINISHED |
| Object | x |
—
|
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: x | Statement: [Ramanujan–Nagell equation, quadraticVariable, x]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: quadraticVariable Context triple: [Ramanujan–Nagell equation, quadraticVariable, x]
-
A.
conjugateVariable
Indicates that one variable is the conjugate counterpart of another, typically related by a conjugation operation such as complex, algebraic, or canonical conjugation.
-
B.
formalVariable
chosen
Indicates that an entity functions as a formal variable, typically serving as a placeholder or bound symbol within a formal expression, statement, or system.
-
C.
usesVAR
Indicates that one entity makes use of, employs, or utilizes another entity as a variable or resource in performing some function or operation.
-
D.
quadraticReciprocity
Indicates that a specified relationship between two integers reflects the law of quadratic reciprocity, describing how the solvability of one integer as a quadratic residue modulo the other is reciprocally related.
-
E.
variableUsuallyDenotedBy
Indicates that a given variable is most commonly represented or written using a particular symbol or notation.
- 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_69d8278fa2108190bc0d0e7939c1eb03 |
completed | April 9, 2026, 10:26 p.m. |
| NER | Named-entity recognition | batch_69de8c20d2148190bb534bef338e871d |
completed | April 14, 2026, 6:49 p.m. |
| PD | Predicate disambiguation | batch_69de2a9515f4819081aabf251bca5878 |
completed | April 14, 2026, 11:52 a.m. |
Created at: April 10, 2026, 1:13 a.m.