Triple
T29464851
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Riesz projection |
E747348
|
entity |
| Predicate | isWellDefinedIf |
P96505
|
FINISHED |
| Object | Γ lies in the resolvent set of T |
—
|
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: Γ lies in the resolvent set of T | Statement: [Riesz projection, isWellDefinedIf, Γ lies in the resolvent set of T]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: isWellDefinedIf Context triple: [Riesz projection, isWellDefinedIf, Γ lies in the resolvent set of T]
-
A.
areDefinedIn
Indicates that the referenced entities are specified, described, or formally established within a particular source, context, or scope.
-
B.
isWellOrdered
Indicates that a set is equipped with a total order in which every non-empty subset has a least element.
-
C.
wasDefinedBy
Indicates that something was formally specified, described, or established by a particular agent, source, or defining entity.
-
D.
canBeDefinedFor
chosen
Indicates that a certain concept, operation, or property is applicable to and can be meaningfully specified for a given entity or set of entities.
-
E.
isWellEstablished
Indicates that something has been firmly recognized, accepted, or validated over time as reliable or authoritative.
- 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_69f0bd4125f88190b56104591351619c |
completed | April 28, 2026, 1:59 p.m. |
| NER | Named-entity recognition | batch_69f66ba6316c8190a84523b9bd642e9a |
completed | May 2, 2026, 9:24 p.m. |
| PD | Predicate disambiguation | batch_69f66339175c819080bd70f0ff7057b1 |
completed | May 2, 2026, 8:48 p.m. |
Created at: April 28, 2026, 3:52 p.m.