Triple
T29514456
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Graham–Pollak theorem |
E748752
|
entity |
| Predicate | equalityCase |
P169315
|
FINISHED |
| Object | There exists a partition of the edges of K_n into exactly n−1 complete bipartite subgraphs. |
—
|
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: There exists a partition of the edges of K_n into exactly n−1 complete bipartite subgraphs. | Statement: [Graham–Pollak theorem, equalityCase, There exists a partition of the edges of K_n into exactly n−1 complete bipartite subgraphs.]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: equalityCase Context triple: [Graham–Pollak theorem, equalityCase, There exists a partition of the edges of K_n into exactly n−1 complete bipartite subgraphs.]
-
A.
equalityCondition
Indicates that two values, expressions, or attributes must be exactly the same for the condition to be satisfied.
-
B.
legalEquivalence
Indicates that two legal entities, statuses, or provisions are considered to have the same legal effect, standing, or validity within a given legal framework.
-
C.
keyEquality
Indicates that two keys or key-like identifiers are considered equal according to a defined comparison or equivalence rule.
-
D.
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.
-
E.
equoIs
Indicates that two entities are considered equal or equivalent in the given context.
- 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_69f0bd461c208190bec20bbf24e02cc5 |
completed | April 28, 2026, 1:59 p.m. |
| NER | Named-entity recognition | batch_69f67de7792c81909b5e4e812d143624 |
completed | May 2, 2026, 10:42 p.m. |
| PD | Predicate disambiguation | batch_69f678ce54b081908c26edfd49e39c60 |
completed | May 2, 2026, 10:21 p.m. |
| PDg | Predicate description generation | batch_69f67d31cc60819084f64bd056e1ea4d |
completed | May 2, 2026, 10:39 p.m. |
Created at: April 28, 2026, 4:35 p.m.