Triple
T16892571
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Banach–Alaoglu theorem |
E424210
|
entity |
| Predicate | oftenFormulatedAs |
P87213
|
FINISHED |
| Object | the unit ball of the dual of a normed space is compact in the weak-* topology |
—
|
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: the unit ball of the dual of a normed space is compact in the weak-* topology | Statement: [Banach–Alaoglu theorem, oftenFormulatedAs, the unit ball of the dual of a normed space is compact in the weak-* topology]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: oftenFormulatedAs Context triple: [Banach–Alaoglu theorem, oftenFormulatedAs, the unit ball of the dual of a normed space is compact in the weak-* topology]
-
A.
oftenFormulatedOn
Indicates that something (such as a statement, plan, or decision) is frequently based on, derived from, or constructed using another thing as its foundation or starting point.
-
B.
formulatedInTermsOf
Indicates that one concept, statement, or representation is expressed, defined, or described using the language, framework, or components of another.
-
C.
oftenExpressedAs
chosen
Indicates that one thing is frequently represented, stated, or manifested in the form of another.
-
D.
isFormulatedUsing
Indicates that something is created, defined, or expressed by means of a specified method, material, or set of components.
-
E.
hasFormulation
Indicates that one entity is expressed, prepared, or configured in a particular form or composition defined by 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_69d889da3e8c8190a2b118f383f0beac |
completed | April 10, 2026, 5:25 a.m. |
| NER | Named-entity recognition | batch_69e3bbc5a5308190937ebd05356bd91d |
completed | April 18, 2026, 5:13 p.m. |
| PD | Predicate disambiguation | batch_69e32b90ec3c819099c51bb7baf2984c |
completed | April 18, 2026, 6:58 a.m. |
Created at: April 10, 2026, 5:29 a.m.