Triple

T15918531
Position Surface form Disambiguated ID Type / Status
Subject Erdős–Szekeres theorem E386031 entity
Predicate originalBound P96513 FINISHED
Object ES(n) ≤ \binom{2n-4}{n-2} + 1 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: ES(n) ≤ \binom{2n-4}{n-2} + 1 | Statement: [Erdős–Szekeres theorem, originalBound, ES(n) ≤ \binom{2n-4}{n-2} + 1]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: originalBound
Context triple: [Erdős–Szekeres theorem, originalBound, ES(n) ≤ \binom{2n-4}{n-2} + 1]
  • A. givesBoundOn chosen
    Indicates that one quantity provides an upper or lower limit (a bound) on the value or behavior of another quantity.
  • B. oftenBoundIn
    Indicates that one entity is frequently enclosed, packaged, or contained within another entity.
  • C. originalExtent
    Indicates the total size or scope that something initially had before any reduction, alteration, or loss.
  • D. boundFor
    Indicates that something is destined, directed, or scheduled to go toward a particular destination or target.
  • E. boundedByApprox
    Indicates that one quantity is constrained by another within an approximate or tolerance-based bound, rather than an exact strict limit.
  • 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.