Triple
T6801005
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Lagrange's four-square theorem |
E156185
|
entity |
| Predicate | usesInProof |
P25490
|
FINISHED |
| Object | properties of quadratic forms |
—
|
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: properties of quadratic forms | Statement: [Lagrange's four-square theorem, usesInProof, properties of quadratic forms]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: usesInProof Context triple: [Lagrange's four-square theorem, usesInProof, properties of quadratic forms]
-
A.
usedInProofStyle
Indicates that one entity is employed as a method, technique, or approach within the proof style or strategy of another entity.
-
B.
typicalProofUses
Indicates that a proof characteristically or commonly employs a particular method, technique, or component.
-
C.
areUsedIn
chosen
Indicates that certain entities serve as components, tools, or resources within a particular process, context, or application.
-
D.
isUsedAs
Indicates that one entity serves a particular function, role, or purpose as another entity.
-
E.
usedInArgumentFor
Indicates that something (such as a statement, piece of evidence, or concept) is employed as support within an argument advocating for a particular claim or position.
- 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.