Triple
T24806141
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Legendre's three-square theorem |
E620662
|
entity |
| Predicate | allowsConclusion |
P39460
|
FINISHED |
| Object | every positive integer not of the form 4^a(8b+7) is a sum of three 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: every positive integer not of the form 4^a(8b+7) is a sum of three squares | Statement: [Legendre's three-square theorem, allowsConclusion, every positive integer not of the form 4^a(8b+7) is a sum of three squares]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: allowsConclusion Context triple: [Legendre's three-square theorem, allowsConclusion, every positive integer not of the form 4^a(8b+7) is a sum of three squares]
-
A.
canConclude
chosen
Indicates that one entity is able to logically derive or reach a conclusion about another entity or situation.
-
B.
mayConclude
Indicates that one party is permitted or authorized to bring a process, activity, or agreement to an end.
-
C.
hasConclusion
Indicates that something leads to, results in, or is associated with a particular conclusion.
-
D.
canBeConcludedWith
Indicates that one situation, process, or sequence is able to be finished, resolved, or brought to an end by another specified action or condition.
-
E.
concludedThat
Indicates that one entity has reached or stated a judgment, inference, or decision about a proposition or situation involving another entity.
- 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_69e2fabf26bc8190b191faac8f67065b |
completed | April 18, 2026, 3:30 a.m. |
| NER | Named-entity recognition | batch_69f6135293908190809e255bf6334760 |
completed | May 2, 2026, 3:08 p.m. |
| PD | Predicate disambiguation | batch_69f611a72780819082f44e66ca2c6ac9 |
completed | May 2, 2026, 3 p.m. |
Created at: April 18, 2026, 4:50 a.m.