Triple

T1489756
Position Surface form Disambiguated ID Type / Status
Subject Noether's problem E29549 entity
Predicate standardFormulation P28574 FINISHED
Object given a field k and a finite group G, is k(x_g : g in G)^G purely transcendental over k? 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: given a field k and a finite group G, is k(x_g : g in G)^G purely transcendental over k? | Statement: [Noether's problem, standardFormulation, given a field k and a finite group G, is k(x_g : g in G)^G purely transcendental over k?]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: standardFormulation
Context triple: [Noether's problem, standardFormulation, given a field k and a finite group G, is k(x_g : g in G)^G purely transcendental over k?]
  • A. standardFormUsedIn
    Indicates that a particular standard form is employed or applied within a given context, process, or system.
  • B. standardFormBasedIn
    Indicates that a standardized form or format is established, defined, or grounded in a particular source, basis, or reference framework.
  • C. standardFormBasedOn
    Indicates that one entity’s standard or canonical form is derived from, defined by, or constructed on the basis of another entity.
  • D. standardModernForm
    Indicates that an entity is expressed or represented in the currently accepted standard modern form of a language, notation, or system.
  • E. typicalForm
    Indicates that one entity represents the standard, characteristic, or most common form or shape in which another entity typically appears or is realized.
  • 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_69a498da82e08190ba833330d05f380f completed March 1, 2026, 7:51 p.m.
NER Named-entity recognition batch_69a4c6c233ec819087e1233af02aabfc completed March 1, 2026, 11:07 p.m.
PD Predicate disambiguation batch_69a4c48902808190a8028d359bcf123e completed March 1, 2026, 10:58 p.m.
PDg Predicate description generation batch_69a4c52c703c8190a56389b09d97659f completed March 1, 2026, 11:01 p.m.
Created at: March 1, 2026, 8:12 p.m.