Triple

T22539296
Position Surface form Disambiguated ID Type / Status
Subject Endre Szemerédi E557241 entity
Predicate notableWork P4 FINISHED
Object Szemerédi regularity lemma paper 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 regularity lemma paper | Statement: [Endre Szemerédi, notableWork, Szemerédi regularity lemma paper]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Szemerédi regularity lemma paper
Context triple: [Endre Szemerédi, notableWork, Szemerédi regularity lemma paper]
  • A. Szemerédi regularity lemma chosen
    The Szemerédi regularity lemma is a fundamental result in graph theory that states every large graph can be approximated by a union of a bounded number of random-like bipartite graphs, enabling powerful structural and combinatorial analysis.
  • B. 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.
  • C. Pósa’s theorem in graph theory
    Pósa’s theorem in graph theory is a result that gives a sufficient degree condition for a finite graph to contain a Hamiltonian cycle.
  • D. Gowers–Hatami stability theorem
    The Gowers–Hatami stability theorem is a result in functional analysis and group theory that characterizes when approximate representations of finite groups are close to genuine representations, providing a quantitative form of stability for such structures.
  • E. Gowers inverse theorem in additive combinatorics
    The Gowers inverse theorem in additive combinatorics is a fundamental result that characterizes functions with large Gowers uniformity norms by showing they must correlate with structured objects such as polynomial phase functions, underpinning much of modern higher-order Fourier analysis.
  • 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.