Triple
T7871986
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Jacobi’s four-square theorem |
E182757
|
entity |
| Predicate | domainOfFormula |
P64857
|
FINISHED |
| Object | n ∈ ℕ |
—
|
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: n ∈ ℕ | Statement: [Jacobi’s four-square theorem, domainOfFormula, n ∈ ℕ]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: domainOfFormula Context triple: [Jacobi’s four-square theorem, domainOfFormula, n ∈ ℕ]
-
A.
domainOfVariables
chosen
Indicates that the predicate specifies the set or type of values that the variables involved in an expression or formula are allowed to take.
-
B.
mathematicallyExpressedBy
Indicates that something (such as a concept, quantity, or relationship) is represented or captured using a specific mathematical expression or formulation.
-
C.
rankFunctionDomain
Indicates that the subject is the domain (set of all possible inputs) over which a given rank function is defined.
-
D.
coordinateDomain
Indicates that two or more entities share the same coordinate system or spatial reference framework for describing positions.
-
E.
fundamentalDomain
Indicates that one entity is a fundamental domain for the action of another (such as a group or transformation), meaning it is a minimal region whose images under that action cover the entire space without overlapping interiors.
- 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_69ca82894d9081908a832bfce71a4714 |
completed | March 30, 2026, 2:02 p.m. |
| NER | Named-entity recognition | batch_69cb39a5950481908399211c5dfe2569 |
completed | March 31, 2026, 3:04 a.m. |
| PD | Predicate disambiguation | batch_69cae928e1b88190b0620f4c4f03bc7d |
completed | March 30, 2026, 9:20 p.m. |
Created at: March 30, 2026, 4:56 p.m.