Triple

T27025660
Position Surface form Disambiguated ID Type / Status
Subject Tate Conjecture E680776 entity
Predicate instanceOf P0 FINISHED
Object open problem in arithmetic geometry C27371 CONCEPT FINISHED

How this triple was built (1 step)

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.

CD Concept disambiguation gpt-5-mini-2025-08-07
Target class: open problem in arithmetic geometry
Context triple: [Tate Conjecture, instanceOf, open problem in arithmetic geometry]
  • A. open problem in number theory chosen
    An open problem in number theory is an unsolved question about the properties or relationships of integers, primes, or related numerical structures that remains unproven despite significant mathematical investigation.
  • B. result in arithmetic geometry
    A result in arithmetic geometry is a theorem or proposition that connects number-theoretic properties of solutions to polynomial equations with the geometric structure of the varieties they define over arithmetic fields.
  • C. technique in Diophantine geometry
    A technique in Diophantine geometry is a systematic method or tool—often combining algebraic, geometric, and arithmetic ideas—used to study and solve equations with integer or rational solutions on algebraic varieties.
  • D. collection of unsolved mathematical problems
    A collection of unsolved mathematical problems is a curated set of open questions in mathematics that have been precisely formulated but lack known proofs or solutions.
  • E. area of algebraic geometry
    An area of algebraic geometry is a subfield focused on a specific collection of problems, techniques, and structures related to the study of solutions to polynomial equations and their geometric properties.
  • F. None of above.

Provenance (1 batch)

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_69eeeb5450988190bfc9a3c012ac463a completed April 27, 2026, 4:51 a.m.
Created at: April 27, 2026, 7:11 a.m.