Triple

T13035667
Position Surface form Disambiguated ID Type / Status
Subject Monge–Ampère equation E326554 entity
Predicate usedIn P98 FINISHED
Object Aleksandrov problem E947537 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: Aleksandrov problem | Statement: [Monge–Ampère equation, usedIn, Aleksandrov problem]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Aleksandrov problem
Context triple: [Monge–Ampère equation, usedIn, Aleksandrov problem]
  • A. Hilbert’s twenty-third problem
    Hilbert’s twenty-third problem is one of David Hilbert’s famous list of unsolved problems, focusing on the further development and systematic application of the calculus of variations.
  • B. Naimark problem
    The Naimark problem is a question in operator algebra theory concerning whether every C*-algebra with certain representation properties must be of a particularly well-behaved (type I) form.
  • C. Hilbert’s nineteenth problem
    Hilbert’s nineteenth problem is one of David Hilbert’s famous list of 23 problems, asking whether solutions to regular variational problems are always analytic.
  • D. Christoffel–Minkowski problem chosen
    The Christoffel–Minkowski problem is a classical question in convex geometry that seeks to reconstruct a convex body from prescribed curvature or area measure data on the unit sphere.
  • E. Hilbert’s twenty-second problem
    Hilbert’s twenty-second problem is one of David Hilbert’s famous list of 23 problems, concerning the uniformization of analytic relations and the representation of multi-valued analytic functions by single-valued ones on suitable Riemann surfaces.
  • 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_69d8076cc45c81908123123f43e69266 completed April 9, 2026, 8:09 p.m.
NER Named-entity recognition batch_69d97effca908190ab89fdb034e02680 completed April 10, 2026, 10:51 p.m.
NED1 Entity disambiguation (via context triple) batch_69f6cbcf11f88190ab1746f973132af1 completed May 3, 2026, 4:15 a.m.
Created at: April 9, 2026, 8:55 p.m.