Triple
T15918468
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Happy Ending problem |
E386030
|
entity |
| Predicate | field |
P3
|
FINISHED |
| Object | Ramsey theory |
E381617
|
NE 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: Ramsey theory | Statement: [Happy Ending problem, field, Ramsey theory]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Ramsey theory Context triple: [Happy Ending problem, field, Ramsey theory]
-
A.
Ramsey theory
chosen
Ramsey theory is a branch of combinatorics that studies the conditions under which order or structure must appear within sufficiently large or complex mathematical objects.
-
B.
Ramsey number
A Ramsey number is the smallest integer n such that any coloring or partitioning of the edges of a complete graph on n vertices must contain a particular monochromatic substructure, making it a central object in combinatorics and graph theory.
-
C.
Ramsey multiplicity
Ramsey multiplicity is a concept in Ramsey theory that quantifies the minimum number of monochromatic substructures (such as cliques) that must appear in any edge-coloring of a large enough complete graph.
-
D.
Graham–Rothschild theorem
The Graham–Rothschild theorem is a fundamental result in Ramsey theory that generalizes classical partition theorems to higher-dimensional combinatorial structures.
-
E.
extremal combinatorics
Extremal combinatorics is a branch of combinatorics that studies how large or how structured a discrete object (such as a graph or set system) can be under given constraints, often focusing on optimal bounds and extremal configurations.
- F. None of above.
- G. Unsure - the case is ambiguous/there is not enough information to decide.
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_69d86da686e4819097cbf3b1fc2d881d |
completed | April 10, 2026, 3:25 a.m. |
| NER | Named-entity recognition | batch_69e1567ff9e48190b73cb101fc3f7b2b |
completed | April 16, 2026, 9:37 p.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69ffb05d1fb481909b42bea774a15c70 |
completed | May 9, 2026, 10:08 p.m. |
Created at: April 10, 2026, 4:52 a.m.