Triple

T29484821
Position Surface form Disambiguated ID Type / Status
Subject Linnik’s theorem on the least prime in an arithmetic progression E747889 entity
Predicate conclusionInvolves P61768 FINISHED
Object least prime p ≡ a (mod q) LITERAL 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: least prime p ≡ a (mod q) | Statement: [Linnik’s theorem on the least prime in an arithmetic progression, conclusionInvolves, least prime p ≡ a (mod q)]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: conclusionInvolves
Context triple: [Linnik’s theorem on the least prime in an arithmetic progression, conclusionInvolves, least prime p ≡ a (mod q)]
  • A. concludesAbout chosen
    Indicates that one entity forms or states a conclusion regarding another entity or its properties.
  • B. concludes
    Indicates that one entity brings something (such as an event, process, or discussion) to an end or reaches a final decision or judgment about it.
  • C. concludesIn
    Indicates that an event, process, or action ends or reaches its final state within a specified time, place, or context.
  • D. concludedThat
    Indicates that one entity has reached or stated a judgment, inference, or decision about a proposition or situation involving another entity.
  • E. concludedBy
    Indicates that an event, process, or state is brought to an end or finalized by a specific agent or 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_69f66c04cebc819083ae3b4338149347 completed May 2, 2026, 9:26 p.m.
PD Predicate disambiguation batch_69f6633ac8a88190ab0cda62bbfcf9b0 completed May 2, 2026, 8:48 p.m.
Created at: April 28, 2026, 4:07 p.m.