Triple
T22423410
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Erdős–Straus conjecture |
E554304
|
entity |
| Predicate | concerns |
P1256
|
FINISHED |
| Object | Egyptian fractions |
—
|
NE NERFINISHED |
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: Egyptian fractions | Statement: [Erdős–Straus conjecture, concerns, Egyptian fractions]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Egyptian fractions Context triple: [Erdős–Straus conjecture, concerns, Egyptian fractions]
-
A.
Egyptian mathematics
chosen
Egyptian mathematics is the body of mathematical knowledge and techniques developed in ancient Egypt, notable for its practical arithmetic, geometry, and use of unit fractions in administrative, architectural, and surveying applications.
-
B.
Erdős–Straus conjecture
The Erdős–Straus conjecture is an unsolved problem in number theory asserting that for every integer n ≥ 2, the fraction 4/n can be expressed as a sum of three unit fractions.
-
C.
Farey sequence
The Farey sequence is an ordered list of completely reduced fractions between 0 and 1 with denominators up to a given integer, widely studied in number theory for its connections to fractions, mediants, and modular forms.
-
D.
Continued Fractions
Continued Fractions is a classic mathematical monograph by Aleksandr Khinchin that systematically develops the theory and applications of continued fraction expansions in number theory and analysis.
-
E.
Rhind Mathematical Papyrus
The Rhind Mathematical Papyrus is an ancient Egyptian scroll dating to around 1650 BCE that serves as one of the primary sources for understanding Egyptian arithmetic, geometry, and problem-solving methods.
- F. None of above.
- G. Unsure - the case is ambiguous/there is not enough information to decide.
Provenance (2 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. |
Created at: April 16, 2026, 8:47 p.m.