Triple
T36469097
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Koebe function |
E898494
|
entity |
| Predicate | attainsEqualityIn |
P185551
|
FINISHED |
| Object | Koebe quarter theorem lower bound 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: Koebe quarter theorem lower bound 1/4 | Statement: [Koebe function, attainsEqualityIn, Koebe quarter theorem lower bound 1/4]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: attainsEqualityIn Context triple: [Koebe function, attainsEqualityIn, Koebe quarter theorem lower bound 1/4]
-
A.
claimedEqualityWith
Indicates that one entity has asserted or stated that it is equal or equivalent to another entity.
-
B.
equalityCondition
Indicates that two values, expressions, or attributes must be exactly the same for the condition to be satisfied.
-
C.
satisfiedWithEqualityBy
Indicates that one entity is content with or approves of another entity because they are treated or regarded as equal.
-
D.
equalityCase
Indicates that two entities are considered equal or equivalent under a specific case or case-sensitivity condition.
-
E.
requiresEqualTreatmentWith
Indicates that one entity must be treated in the same way and to the same extent as another entity, without preferential or discriminatory differences.
- F. None of above. chosen
Provenance (4 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. |
| PDg | Predicate description generation | batch_69f7be9b9ab481908328e0e8d8ac73d4 |
completed | May 3, 2026, 9:31 p.m. |
Created at: May 3, 2026, 4:10 p.m.