Triple
T5634008
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Fermat polygonal number theorem |
E147900
|
entity |
| Predicate | orderDependentBound |
P64706
|
FINISHED |
| Object | for each s ≥ 3 there exists a minimal r(s) such that every positive integer is a sum of r(s) s-gonal numbers |
—
|
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: for each s ≥ 3 there exists a minimal r(s) such that every positive integer is a sum of r(s) s-gonal numbers | Statement: [Fermat polygonal number theorem, orderDependentBound, for each s ≥ 3 there exists a minimal r(s) such that every positive integer is a sum of r(s) s-gonal numbers]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: orderDependentBound Context triple: [Fermat polygonal number theorem, orderDependentBound, for each s ≥ 3 there exists a minimal r(s) such that every positive integer is a sum of r(s) s-gonal numbers]
-
A.
positionDependsOn
Indicates that the spatial or ordered position of one entity is determined or constrained by the position of another entity.
-
B.
observerDependent
Indicates that the truth, value, or manifestation of something varies depending on which observer is considering or measuring it.
-
C.
orderOf
Indicates that one entity is arranged, ranked, or sequenced before or after another according to a specified ordering criterion.
-
D.
boundFor
Indicates that something is destined, directed, or scheduled to go toward a particular destination or target.
-
E.
orderedBy
Indicates that one entity has placed a request or purchase for another entity, typically specifying who initiated the order.
- F. None of above. chosen
Provenance (4 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_69c00907bc8881909ed760d3ed73ef35 |
completed | March 22, 2026, 3:21 p.m. |
| NER | Named-entity recognition | batch_69c0226118548190877793dadf6cacba |
completed | March 22, 2026, 5:09 p.m. |
| PD | Predicate disambiguation | batch_69c01b1f12ec8190b4b9d9ee31cabe19 |
completed | March 22, 2026, 4:38 p.m. |
| PDg | Predicate description generation | batch_69c01f0684908190ae2d14f0bd2ab892 |
completed | March 22, 2026, 4:55 p.m. |
Created at: March 22, 2026, 3:41 p.m.