Triple

T15918521
Position Surface form Disambiguated ID Type / Status
Subject Erdős–Szekeres theorem E386031 entity
Predicate statementInformal P4223 FINISHED
Object any sufficiently large set of points in the plane in general position contains the vertices of a large convex polygon 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: any sufficiently large set of points in the plane in general position contains the vertices of a large convex polygon | Statement: [Erdős–Szekeres theorem, statementInformal, any sufficiently large set of points in the plane in general position contains the vertices of a large convex polygon]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: statementInformal
Context triple: [Erdős–Szekeres theorem, statementInformal, any sufficiently large set of points in the plane in general position contains the vertices of a large convex polygon]
  • A. hasInformalUsage
    Indicates that something is used in casual or non-standard contexts rather than in formal or official usage.
  • B. informalNotation
    Indicates that an entity is represented or expressed using a non-standard, simplified, or colloquial form of notation rather than a formal or fully rigorous one.
  • C. statement chosen
    Indicates that an entity makes, issues, or expresses a declarative assertion, claim, or remark about something.
  • D. hasInformalStatus
    Indicates that an entity holds a non-official, casual, or unofficial standing or role in relation to another entity.
  • E. usedInformallyAlongside
    Indicates that something is employed in an informal, non-standard way together with or in addition to something else.
  • 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_69d86da686e4819097cbf3b1fc2d881d completed April 10, 2026, 3:25 a.m.
NER Named-entity recognition batch_69e172b48b308190bc430b2308cbc75b completed April 16, 2026, 11:37 p.m.
PD Predicate disambiguation batch_69e142cf5c548190a931f7b58144cd31 completed April 16, 2026, 8:13 p.m.
Created at: April 10, 2026, 4:52 a.m.