Triple

T429552
Position Surface form Disambiguated ID Type / Status
Subject Whitney embedding theorem E9682 entity
Predicate isFundamentalResultIn P5746 FINISHED
Object classification of smooth manifolds up to embedding 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: classification of smooth manifolds up to embedding | Statement: [Whitney embedding theorem, isFundamentalResultIn, classification of smooth manifolds up to embedding]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: isFundamentalResultIn
Context triple: [Whitney embedding theorem, isFundamentalResultIn, classification of smooth manifolds up to embedding]
  • A. isFundamental
    Indicates that something is a basic, essential, or foundational element upon which other things depend or are built.
  • B. resultDetermination
    Indicates the process or criteria by which an outcome, decision, or result is established or concluded from given inputs or conditions.
  • C. isBasedOn
    Indicates that one entity is derived from, inspired by, or developed using the content, structure, or principles of another entity.
  • D. result
    Indicates that one entity is produced, caused, or brought about as an outcome or consequence of another entity or process.
  • E. isNucleusOf chosen
    Indicates that one entity functions as the central or most important core component of 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_69a2e801e1d48190b505d1dd336b52ac completed Feb. 28, 2026, 1:05 p.m.
NER Named-entity recognition batch_69a2eeedf68c81908473d6c6600961bd completed Feb. 28, 2026, 1:34 p.m.
PD Predicate disambiguation batch_69a2edd7a3608190b8785c7b7205f6c1 completed Feb. 28, 2026, 1:29 p.m.
Created at: Feb. 28, 2026, 1:11 p.m.