Triple

T10055475
Position Surface form Disambiguated ID Type / Status
Subject Hilbert’s tenth problem E208849 entity
Predicate formalizationUses P91857 FINISHED
Object polynomial equations with integer coefficients 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: polynomial equations with integer coefficients | Statement: [Hilbert’s tenth problem, formalizationUses, polynomial equations with integer coefficients]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: formalizationUses
Context triple: [Hilbert’s tenth problem, formalizationUses, polynomial equations with integer coefficients]
  • A. formalization
    Indicates that an informal concept, process, or agreement is being expressed, structured, or codified in a formal, explicit, and often standardized way.
  • B. formalizedUnder
    Indicates that something has been officially established, defined, or codified within the framework, authority, or provisions of a particular formal system, agreement, or institution.
  • C. formalismFor
    Indicates that one entity serves as a formal representation, framework, or notation specifically designed to model, describe, or reason about another entity.
  • D. isFormalizedBy
    Indicates that something is given a defined, structured, or official form through a specific method, process, or representation.
  • E. formalizedAt
    Indicates the point in time or event at which something is officially established, documented, or given formal status.
  • F. None of above. chosen

Provenance (4 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_69ca836094408190a36a1ea7e9a86fcd completed March 30, 2026, 2:06 p.m.
NER Named-entity recognition batch_69cdcfacacd08190abe66f8bb17b92c7 completed April 2, 2026, 2:08 a.m.
PD Predicate disambiguation batch_69cd4b8d2280819089de27e57babd1f3 completed April 1, 2026, 4:45 p.m.
PDg Predicate description generation batch_69cd4f8d9b888190b8067bd916dae773 completed April 1, 2026, 5:02 p.m.
Created at: March 30, 2026, 8:57 p.m.