Triple
T36513259
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Schwarz–Pick theorem |
E899966
|
entity |
| Predicate | hasEqualityCondition |
P52973
|
FINISHED |
| Object | equality holds if and only if f is a Möbius automorphism of the unit disk |
—
|
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: equality holds if and only if f is a Möbius automorphism of the unit disk | Statement: [Schwarz–Pick theorem, hasEqualityCondition, equality holds if and only if f is a Möbius automorphism of the unit disk]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: hasEqualityCondition Context triple: [Schwarz–Pick theorem, hasEqualityCondition, equality holds if and only if f is a Möbius automorphism of the unit disk]
-
A.
hasEquivalentCondition
Indicates that one condition is logically or functionally equivalent to another condition.
-
B.
hasCondition
Indicates that an entity possesses, experiences, or is affected by a particular condition or state.
-
C.
equalityCondition
chosen
Indicates that two values, expressions, or attributes must be exactly the same for the condition to be satisfied.
-
D.
containsCondition
Indicates that one entity includes, embodies, or is associated with a particular condition.
-
E.
hasComparisonCriterion
Indicates that one entity is used as the basis or standard by which another entity is compared or evaluated.
- 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_69f76e5dada881909da2d34bc7a9202a |
completed | May 3, 2026, 3:48 p.m. |
| NER | Named-entity recognition | batch_69f7c371931c8190afb1d4dd5157f92c |
completed | May 3, 2026, 9:51 p.m. |
| PD | Predicate disambiguation | batch_69f7c1b91fd88190ab85afd626603769 |
completed | May 3, 2026, 9:44 p.m. |
Created at: May 3, 2026, 4:10 p.m.