Triple
T26971255
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Hopf–Rinow theorem |
E679322
|
entity |
| Predicate | equivalenceCondition |
P135628
|
FINISHED |
| Object | the manifold is complete as a metric space |
—
|
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: the manifold is complete as a metric space | Statement: [Hopf–Rinow theorem, equivalenceCondition, the manifold is complete as a metric space]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: equivalenceCondition Context triple: [Hopf–Rinow theorem, equivalenceCondition, the manifold is complete as a metric space]
-
A.
hasEquivalentCondition
chosen
Indicates that one condition is logically or functionally equivalent to another condition.
-
B.
equalityCondition
Indicates that two values, expressions, or attributes must be exactly the same for the condition to be satisfied.
-
C.
equivalentTo
Indicates that two entities represent the same concept, value, or state, and can be treated as interchangeable in the given context.
-
D.
hasEquivalent
Indicates that two entities are considered equal in value, meaning, or function within a given context.
-
E.
equivalentIn
Indicates that two entities are considered logically or functionally the same in meaning, status, or effect within a given 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_69eeeb507a7081909d516e1fa08b7d29 |
completed | April 27, 2026, 4:51 a.m. |
| NER | Named-entity recognition | batch_69f657f653448190a945b4751af8507d |
completed | May 2, 2026, 8 p.m. |
| PD | Predicate disambiguation | batch_69f6575ba12081909396036f78757a76 |
completed | May 2, 2026, 7:58 p.m. |
Created at: April 27, 2026, 6:39 a.m.