Triple
T6800985
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Lagrange's four-square theorem |
E156185
|
entity |
| Predicate | allowsRepresentationAs |
P6726
|
FINISHED |
| Object | sum of four squares of integers |
—
|
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: sum of four squares of integers | Statement: [Lagrange's four-square theorem, allowsRepresentationAs, sum of four squares of integers]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: allowsRepresentationAs Context triple: [Lagrange's four-square theorem, allowsRepresentationAs, sum of four squares of integers]
-
A.
canRepresent
chosen
Indicates that one entity is capable of serving as a valid stand-in, proxy, or expression for another entity in a given context.
-
B.
hasRepresentationIn
Indicates that one entity is represented, depicted, or encoded within another entity, such as a concept, object, or data structure having a corresponding representation in a specific medium or context.
-
C.
areRepresentedBy
Indicates that one entity serves as a representation, proxy, or stand-in for another entity.
-
D.
hasRepresentationOnlyIn
Indicates that an entity is represented or manifested exclusively within a specified medium, context, or domain, and not outside of it.
-
E.
hasCanonicalRepresentation
Indicates that one entity is the standard or authoritative form in which another entity is represented.
- 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_69c68826e6a48190a3d220b541e639de |
completed | March 27, 2026, 1:37 p.m. |
| NER | Named-entity recognition | batch_69c6d2e595188190a0bb4b595df3adb2 |
completed | March 27, 2026, 6:56 p.m. |
| PD | Predicate disambiguation | batch_69c6d099bf08819089a9f9894d037e74 |
completed | March 27, 2026, 6:46 p.m. |
Created at: March 27, 2026, 2:16 p.m.