Triple
T10991900
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Koebe quarter theorem |
E259770
|
entity |
| Predicate | codomainProperty |
P7031
|
FINISHED |
| Object | image domain contains a Euclidean disk of radius at least 1/4 |
—
|
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: image domain contains a Euclidean disk of radius at least 1/4 | Statement: [Koebe quarter theorem, codomainProperty, image domain contains a Euclidean disk of radius at least 1/4]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: codomainProperty Context triple: [Koebe quarter theorem, codomainProperty, image domain contains a Euclidean disk of radius at least 1/4]
-
A.
codomain
chosen
Indicates the set of all possible output values that a function or mapping can produce, regardless of which values are actually attained.
-
B.
coordinateDomain
Indicates that two or more entities share the same coordinate system or spatial reference framework for describing positions.
-
C.
outputDomain
Indicates the type or range of values that can be produced as the result of a function, process, or system.
-
D.
rankFunctionDomain
Indicates that the subject is the domain (set of all possible inputs) over which a given rank function is defined.
-
E.
definedOn
Indicates that something (such as a function, rule, or structure) is specified to apply or be valid over a particular domain, set, or context.
- 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_69d6aa8a6a548190a750f944ccdc8064 |
completed | April 8, 2026, 7:20 p.m. |
| NER | Named-entity recognition | batch_69d795d1e918819090c71f5a077fa15a |
completed | April 9, 2026, 12:04 p.m. |
| PD | Predicate disambiguation | batch_69d72e93ac648190b46c5d12bf3eb1e9 |
completed | April 9, 2026, 4:44 a.m. |
Created at: April 8, 2026, 9:24 p.m.