Triple

T15741761
Position Surface form Disambiguated ID Type / Status
Subject Ramsey theory E381617 entity
Predicate hasSubfield P5461 FINISHED
Object structural Ramsey theory
Structural Ramsey theory is a branch of combinatorics that studies Ramsey-type properties of classes of finite or countable structures, often using tools from model theory and topological dynamics.
E381617 NE FINISHED

How this triple was built (4 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: structural Ramsey theory | Statement: [Ramsey theory, hasSubfield, structural Ramsey theory]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: structural Ramsey theory
Context triple: [Ramsey theory, hasSubfield, structural Ramsey theory]
  • A. Ramsey theory
    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. Graham–Rothschild theorem
    The Graham–Rothschild theorem is a fundamental result in Ramsey theory that generalizes classical partition theorems to higher-dimensional combinatorial structures.
  • C. Szemerédi's theorem
    Szemerédi's theorem is a fundamental result in combinatorial number theory stating that any subset of the integers with positive upper density contains arbitrarily long arithmetic progressions.
  • D. Erdős–Stone theorem
    The Erdős–Stone theorem is a fundamental result in extremal graph theory that asymptotically determines the maximum number of edges in an n-vertex graph that avoids containing a given subgraph.
  • E. Erdős–Ko–Rado theorem
    The Erdős–Ko–Rado theorem is a fundamental result in extremal combinatorics that determines the maximum size of a family of subsets of a finite set in which every pair of subsets has a non-empty intersection.
  • F. None of above. chosen
  • G. Unsure - the case is ambiguous/there is not enough information to decide.
NEDg Description generation gpt-5.1
Instruction
Generate a one-sentence description of the target entity. 
You are given a context triple in the form (subject, predicate, object), where the object is the target entity. 
# Instructions
Use the triple to infer relevant information about the entity. Describe the entity based on what is most defining, well-known. 
Avoid repeating the information from the triple, unless really essential.
# Response Format
Return only the sentence: "Description: [one-sentence description of the target entity]"
Input
Entity: structural Ramsey theory
Triple: [Ramsey theory, hasSubfield, structural Ramsey theory]
Generated description
Structural Ramsey theory is a branch of combinatorics that studies Ramsey-type properties of classes of finite or countable structures, often using tools from model theory and topological dynamics.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: structural Ramsey theory
Target entity description: Structural Ramsey theory is a branch of combinatorics that studies Ramsey-type properties of classes of finite or countable structures, often using tools from model theory and topological dynamics.
  • 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. Graham–Rothschild theorem
    The Graham–Rothschild theorem is a fundamental result in Ramsey theory that generalizes classical partition theorems to higher-dimensional combinatorial structures.
  • C. Szemerédi's theorem
    Szemerédi's theorem is a fundamental result in combinatorial number theory stating that any subset of the integers with positive upper density contains arbitrarily long arithmetic progressions.
  • D. Erdős–Stone theorem
    The Erdős–Stone theorem is a fundamental result in extremal graph theory that asymptotically determines the maximum number of edges in an n-vertex graph that avoids containing a given subgraph.
  • E. Erdős–Ko–Rado theorem
    The Erdős–Ko–Rado theorem is a fundamental result in extremal combinatorics that determines the maximum size of a family of subsets of a finite set in which every pair of subsets has a non-empty intersection.
  • F. None of above.

Provenance (5 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_69d86d9cdb648190bf3171be0bd7d872 completed April 10, 2026, 3:25 a.m.
NER Named-entity recognition batch_69e04fd97d6c8190b2fa6ca422bfe512 completed April 16, 2026, 2:56 a.m.
NED1 Entity disambiguation (via context triple) batch_69ff83056aa0819098b757ed125e61fe completed May 9, 2026, 6:55 p.m.
NEDg Description generation batch_69ff83ca33d08190816130bf2ea735df completed May 9, 2026, 6:58 p.m.
NED2 Entity disambiguation (via description) batch_69ff8469354c819080b8cfddb7c66be5 completed May 9, 2026, 7 p.m.
Created at: April 10, 2026, 4:46 a.m.