Triple
T5425438
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Sperner's lemma |
E121351
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | combinatorial theorem |
C716
|
CONCEPT FINISHED |
How this triple was built (1 step)
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.
CD
Concept disambiguation
gpt-5-mini-2025-08-07
Target class: combinatorial theorem Context triple: [Sperner's lemma, instanceOf, combinatorial theorem]
-
A.
mathematical theorem
chosen
A mathematical theorem is a rigorously proven statement derived from axioms and previously established results, expressing a fundamental truth within a formal mathematical system.
-
B.
combinatorial game
A combinatorial game is a two-player, perfect-information game with no chance elements where players move alternately and the outcome depends solely on their strategic choices under well-defined rules.
-
C.
circle method
The circle method is an analytic number theory technique that uses integration over the unit circle in the complex plane to estimate the number of representations of integers by various arithmetic functions.
-
D.
binomial coefficient identity
A binomial coefficient identity is an algebraic equality that relates one or more binomial coefficients, often revealing combinatorial or symmetric properties of counting processes.
-
E.
partition congruence
Partition congruence is an equivalence relation on a set that identifies elements as equivalent precisely when they belong to the same block of a given partition of that set.
- F. None of above.
Provenance (1 batch)
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_69bd463b58d88190b258261573de9e91 |
completed | March 20, 2026, 1:06 p.m. |
Created at: March 20, 2026, 2:06 p.m.