Triple
T22423486
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Erdős–Moser equation |
E554305
|
entity |
| Predicate | hasTrivialCase |
P102349
|
FINISHED |
| Object | k=1 gives 1 = 2^1 − 1 |
—
|
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: k=1 gives 1 = 2^1 − 1 | Statement: [Erdős–Moser equation, hasTrivialCase, k=1 gives 1 = 2^1 − 1]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: hasTrivialCase Context triple: [Erdős–Moser equation, hasTrivialCase, k=1 gives 1 = 2^1 − 1]
-
A.
isTrivialWhen
chosen
Indicates that one condition, case, or problem becomes trivial or easily solvable when another specified condition holds.
-
B.
hasTrivialCenter
Indicates that the group’s center consists only of the identity element, meaning it has no nontrivial elements that commute with all others.
-
C.
specialCaseOf
Indicates that one entity represents a more specific, exceptional, or restricted instance of the general situation, rule, or relationship expressed by another entity.
-
D.
isSimple
Indicates that something has a straightforward, uncomplicated nature or structure, lacking complexity or elaboration.
-
E.
hasTrivialAbelianization
Indicates that the group’s abelianization is trivial, meaning its commutator subgroup is the whole group and it has no nontrivial abelian quotient.
- 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_69e11e4f2d0c819091aa3558ea2ee630 |
completed | April 16, 2026, 5:37 p.m. |
| NER | Named-entity recognition | batch_69f15a2af620819083338127e78137dc |
completed | April 29, 2026, 1:08 a.m. |
| PD | Predicate disambiguation | batch_69e898a327948190beee5e168006a0a7 |
completed | April 22, 2026, 9:45 a.m. |
Created at: April 16, 2026, 8:47 p.m.