Triple
T25433033
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Roth's theorem |
E637307
|
entity |
| Predicate | cannotBeImprovedTo |
P159758
|
FINISHED |
| Object | exponent greater than 2 for all algebraic irrationals |
—
|
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: exponent greater than 2 for all algebraic irrationals | Statement: [Roth's theorem, cannotBeImprovedTo, exponent greater than 2 for all algebraic irrationals]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: cannotBeImprovedTo Context triple: [Roth's theorem, cannotBeImprovedTo, exponent greater than 2 for all algebraic irrationals]
-
A.
cannot
Indicates that one entity lacks the ability, permission, or possibility to perform an action or participate in a specified relationship with another entity.
-
B.
hasImproved
Indicates that an entity’s state, quality, or performance has become better compared to a previous point in time.
-
C.
cannotBeAwardedTo
Indicates that a particular entity is ineligible to receive a specified award, prize, or recognition.
-
D.
improvesOn
Indicates that one entity enhances, refines, or performs better than another entity, typically by addressing its limitations or increasing its effectiveness.
-
E.
cannotChange
Indicates that an entity is unable or not permitted to alter the state, value, or properties of another entity or relationship.
- 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_69e75db58a1c8190891b9ff7c2f8414e |
completed | April 21, 2026, 11:21 a.m. |
| NER | Named-entity recognition | batch_69f5f7a205688190b8f36bff5013247c |
completed | May 2, 2026, 1:09 p.m. |
| PD | Predicate disambiguation | batch_69f5afd5baac8190bb8ed576813c8591 |
completed | May 2, 2026, 8:03 a.m. |
| PDg | Predicate description generation | batch_69f5f6b32a8881909baa0db57b80d56a |
completed | May 2, 2026, 1:05 p.m. |
Created at: April 21, 2026, 1:58 p.m.