Triple
T36469913
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Liouville's inequality in Diophantine approximation |
E898513
|
entity |
| Predicate | generalFormUses |
P24049
|
FINISHED |
| Object | height of an algebraic number |
—
|
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: height of an algebraic number | Statement: [Liouville's inequality in Diophantine approximation, generalFormUses, height of an algebraic number]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: generalFormUses Context triple: [Liouville's inequality in Diophantine approximation, generalFormUses, height of an algebraic number]
-
A.
standardFormUsedIn
Indicates that a particular standard form is employed or applied within a given context, process, or system.
-
B.
generalizedForm
Indicates that one entity is a more abstract, generalized version or broader form of another entity.
-
C.
formalizationUses
Indicates that one formalization or formal system makes use of, depends on, or incorporates another resource, method, or framework in its construction or application.
-
D.
usesForm
Indicates that one entity employs, applies, or operates through a particular form, format, or structured representation of something.
-
E.
formulaUsed
chosen
Indicates that a particular formula is employed or applied in performing a calculation, derivation, or reasoning step.
- 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_69f76e58ebd88190b75d9b169b59d793 |
completed | May 3, 2026, 3:48 p.m. |
| NER | Named-entity recognition | batch_69f7be9d07ac8190adf796cbef60daf6 |
completed | May 3, 2026, 9:31 p.m. |
| PD | Predicate disambiguation | batch_69f7bccf05bc8190b61fdb2b2a315811 |
completed | May 3, 2026, 9:23 p.m. |
Created at: May 3, 2026, 4:10 p.m.