Triple

T7678461
Position Surface form Disambiguated ID Type / Status
Subject Grigori Perelman E173925 entity
Predicate solved P22418 FINISHED
Object geometrization conjecture (in dimension 3) E255013 NE 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: geometrization conjecture (in dimension 3) | Statement: [Grigori Perelman, solved, geometrization conjecture (in dimension 3)]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07 
Target entity: geometrization conjecture (in dimension 3)
Context triple: [Grigori Perelman, solved, geometrization conjecture (in dimension 3)]
  • A. geometrization conjecture chosen
    The geometrization conjecture is a fundamental statement in 3-dimensional topology that classifies all closed 3-manifolds into pieces each admitting one of eight canonical geometric structures, a result proven by Grigori Perelman.
  • B. Poincaré conjecture
    The Poincaré conjecture is a landmark problem in topology that characterizes the three-dimensional sphere among three-dimensional manifolds and was famously solved by Grigori Perelman in the early 2000s.
  • C. Ricci flow
    Ricci flow is a geometric evolution equation that smoothly deforms the metric of a Riemannian manifold in a way analogous to heat diffusion, playing a central role in Grigori Perelman's proof of the Poincaré conjecture.
  • D. Three-dimensional geometry and topology
    Three-dimensional geometry and topology is a foundational mathematical monograph by William Thurston that develops the modern theory of 3-manifolds and introduces influential concepts such as hyperbolic structures and the geometrization viewpoint.
  • E. Dehn surgery
    Dehn surgery is a fundamental operation in 3-manifold topology that modifies a 3-dimensional manifold by cutting out a solid torus and gluing it back in a different way, playing a central role in the classification and study of 3-manifolds.
  • F. None of above.
  • G. Unsure - the case is ambiguous/there is not enough information to decide.

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_69c6995703e0819081de77361b602e78 completed March 27, 2026, 2:51 p.m.
NER Named-entity recognition batch_69c701fd18d88190888144a7d0f228d9 completed March 27, 2026, 10:17 p.m.
NED1 Entity disambiguation (via context triple) batch_69c8a240057081908826a5371ef5215b completed March 29, 2026, 3:53 a.m.
Created at: March 27, 2026, 4:01 p.m.