Triple
T17020414
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Closed Graph Theorem |
E412931
|
entity |
| Predicate | bidirectional |
P40062
|
FINISHED |
| Object | closed graph if and only if bounded for linear maps between Banach spaces |
—
|
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: closed graph if and only if bounded for linear maps between Banach spaces | Statement: [Closed Graph Theorem, bidirectional, closed graph if and only if bounded for linear maps between Banach spaces]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: bidirectional Context triple: [Closed Graph Theorem, bidirectional, closed graph if and only if bounded for linear maps between Banach spaces]
-
A.
bidirectionalClass
Indicates that a class participates in a bidirectional relationship, where each related class maintains a reference to the other.
-
B.
bilateralRelation
chosen
Indicates a mutual or two-way relationship between two entities, where each affects or interacts with the other.
-
C.
reversible
Indicates that the relationship or process can proceed in both directions, allowing a return to the original state or configuration.
-
D.
isBilateral
Indicates that the relationship or interaction involves two sides, parties, or entities mutually.
-
E.
by
Indicates that an action is performed, caused, or authored through the agency, means, or proximity of a specified entity.
- 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_69d886cc4170819093deddc7b8b4b6a7 |
completed | April 10, 2026, 5:12 a.m. |
| NER | Named-entity recognition | batch_69e3d482c3a0819099e6ea4acb0a08ee |
completed | April 18, 2026, 6:59 p.m. |
| PD | Predicate disambiguation | batch_69e35d5be7f48190af9db67a1e23850f |
completed | April 18, 2026, 10:30 a.m. |
Created at: April 10, 2026, 5:33 a.m.