Triple
T22423479
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Erdős–Moser equation |
E554305
|
entity |
| Predicate | hasConjectureFormulation |
P38260
|
FINISHED |
| Object | if 1^k + 2^k + ··· + (m−1)^k = m^k with integers k,m≥2 then no such pair exists |
—
|
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: if 1^k + 2^k + ··· + (m−1)^k = m^k with integers k,m≥2 then no such pair exists | Statement: [Erdős–Moser equation, hasConjectureFormulation, if 1^k + 2^k + ··· + (m−1)^k = m^k with integers k,m≥2 then no such pair exists]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: hasConjectureFormulation Context triple: [Erdős–Moser equation, hasConjectureFormulation, if 1^k + 2^k + ··· + (m−1)^k = m^k with integers k,m≥2 then no such pair exists]
-
A.
associatedConjecture
chosen
Indicates that one entity is linked or connected to a particular conjecture, typically as its subject, source, or relevant context.
-
B.
refinedConjecture
Indicates that a previously stated conjecture has been modified or made more precise, resulting in a refined version of the original conjecture.
-
C.
relatedConjecture
Indicates that one conjecture is connected or associated with another conjecture, such as by similarity, dependency, or thematic relation.
-
D.
proposesHypothesis
Indicates that one entity puts forward a tentative explanation or hypothesis for consideration regarding another entity or phenomenon.
-
E.
hasFormulation
Indicates that one entity is expressed, prepared, or configured in a particular form or composition defined by another 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_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.