Triple
T19328054
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Henselization |
E483409
|
entity |
| Predicate | categoryTheoreticProperty |
P37894
|
FINISHED |
| Object | left adjoint to the inclusion of Henselian local rings into all local rings in many settings |
—
|
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: left adjoint to the inclusion of Henselian local rings into all local rings in many settings | Statement: [Henselization, categoryTheoreticProperty, left adjoint to the inclusion of Henselian local rings into all local rings in many settings]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: categoryTheoreticProperty Context triple: [Henselization, categoryTheoreticProperty, left adjoint to the inclusion of Henselian local rings into all local rings in many settings]
-
A.
functorialityProperty
Indicates that a mapping between categories preserves the structure of composition and identity morphisms, behaving consistently with the rules of a functor.
-
B.
isAssociativeUpToIsomorphism
Indicates that a binary operation is associative in a structural sense, meaning any two ways of parenthesizing a finite product are related by a canonical isomorphism rather than strict equality.
-
C.
hasFaithfulCategory
Indicates that one entity is associated with a category functor that is faithful, i.e., it preserves distinct morphisms without identifying them.
-
D.
categorifiedBy
Indicates that something is assigned to or placed within a specific category by another entity.
-
E.
universalityProperty
chosen
Indicates that a given object or morphism is characterized by a universal mapping property, meaning all other relevant maps factor uniquely through it.
- 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_69d8e8d13e3c81909d91d1d5ec37c095 |
completed | April 10, 2026, 12:10 p.m. |
| NER | Named-entity recognition | batch_69e6163f32f48190be17cccf4e537372 |
completed | April 20, 2026, 12:04 p.m. |
| PD | Predicate disambiguation | batch_69e4dd0ef66881909d489d634eee817a |
completed | April 19, 2026, 1:47 p.m. |
Created at: April 10, 2026, 1:33 p.m.