Triple

T29484815
Position Surface form Disambiguated ID Type / Status
Subject Linnik’s theorem on the least prime in an arithmetic progression E747889 entity
Predicate originalProofUsed P97877 FINISHED
Object Linnik’s dispersion method 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: Linnik’s dispersion method | Statement: [Linnik’s theorem on the least prime in an arithmetic progression, originalProofUsed, Linnik’s dispersion method]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: originalProofUsed
Context triple: [Linnik’s theorem on the least prime in an arithmetic progression, originalProofUsed, Linnik’s dispersion method]
  • A. originalProof chosen
    Indicates that one entity serves as the initial or primary proof or evidence supporting another entity.
  • B. laterProofBy
    Indicates that one proof is derived or established after, and possibly building upon, an earlier proof.
  • C. provedFrom
    Indicates that one statement, theorem, or conclusion is logically derived and demonstrated to be true based on another statement or set of premises.
  • D. requiresProofIn
    Indicates that one entity must be justified, validated, or supported by formal proof within the context or framework specified by another entity.
  • E. requiresProofOf
    Indicates that one entity must provide formal evidence or documentation to validate or authorize another entity.
  • F. None of above.

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_69f0bd43ba30819095eb1cfc3adf525c completed April 28, 2026, 1:59 p.m.
NER Named-entity recognition batch_69ff9e91bba08190af04b31ad815b13a completed May 9, 2026, 8:52 p.m.
PD Predicate disambiguation batch_69ff9e00e4808190bde8f07e6519a72c completed May 9, 2026, 8:50 p.m.
Created at: April 28, 2026, 4:07 p.m.