Triple

T22539283
Position Surface form Disambiguated ID Type / Status
Subject Endre Szemerédi E557241 entity
Predicate knownFor P22 FINISHED
Object Szemerédi–Trotter theorem NE NERFINISHED

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: Szemerédi–Trotter theorem | Statement: [Endre Szemerédi, knownFor, Szemerédi–Trotter theorem]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Szemerédi–Trotter theorem
Context triple: [Endre Szemerédi, knownFor, Szemerédi–Trotter theorem]
  • A. Szemerédi–Trotter theorem chosen
    The Szemerédi–Trotter theorem is a fundamental result in combinatorial geometry that gives near-optimal upper bounds on the number of incidences between points and lines in the plane.
  • B. Sylvester–Gallai theorem
    The Sylvester–Gallai theorem is a result in incidence geometry stating that for any finite set of points in the Euclidean plane not all on a single line, there exists a line that passes through exactly two of the points.
  • C. Erdős distinct distances problem
    The Erdős distinct distances problem is a famous question in combinatorial geometry that asks for the minimum number of distinct distances determined by a given number of points in the plane.
  • D. 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.
  • E. Erdős–Szekeres theorem
    The Erdős–Szekeres theorem is a fundamental result in combinatorial geometry that guarantees the existence of large convex polygons within sufficiently large sets of points in the plane in general position.
  • F. None of above.
  • G. Unsure - the case is ambiguous/there is not enough information to decide.

Provenance (2 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_69e11e58662081909ae346ab384514ca completed April 16, 2026, 5:37 p.m.
NER Named-entity recognition batch_69f15f302cd4819098c97ca4fa96363e completed April 29, 2026, 1:30 a.m.
Created at: April 16, 2026, 8:51 p.m.