Triple
T6801015
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Lagrange's four-square theorem |
E156185
|
entity |
| Predicate | isSharpBound |
P14327
|
FINISHED |
| Object | 4 is best possible uniform bound for squares |
—
|
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: 4 is best possible uniform bound for squares | Statement: [Lagrange's four-square theorem, isSharpBound, 4 is best possible uniform bound for squares]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: isSharpBound Context triple: [Lagrange's four-square theorem, isSharpBound, 4 is best possible uniform bound for squares]
-
A.
isUpperBoundFor
chosen
Indicates that one value is greater than or equal to every element in a given set or collection, serving as an upper limit for them.
-
B.
isBoundaryFor
Indicates that one entity serves as the limiting edge, border, or enclosing extent that defines the spatial or conceptual bounds of another entity.
-
C.
hasBoundaryCriterion
Indicates that something is associated with a specific rule or condition used to define or limit its boundary.
-
D.
isLegalBoundary
Indicates that something serves as an officially recognized dividing line that defines the limits of a legal jurisdiction, property, or authority.
-
E.
dimensionBoundType
Indicates the type or nature of the constraint that bounds a given dimension in a relationship.
- 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.