Triple

T34585660
Position Surface form Disambiguated ID Type / Status
Subject S^2 × R geometry E888036 entity
Predicate admitsCompactQuotients P179347 FINISHED
Object true 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: true | Statement: [S^2 × R geometry, admitsCompactQuotients, true]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: admitsCompactQuotients
Context triple: [S^2 × R geometry, admitsCompactQuotients, true]
  • A. hasQuotientOrbifold
    Indicates that one entity is the quotient orbifold obtained from another entity by taking a group action or identification that forms an orbifold structure.
  • B. hasOrientationPreservingQuotient
    Indicates that the associated quotient map preserves the original orientation structure of the space or object.
  • C. isQuasiCompact
    Indicates that a space or object has the property that every open cover admits a finite subcover, or an analogous finiteness/compactness condition in its context.
  • D. isOnePointCompactificationOf
    Indicates that one topological space is obtained from another by adding a single “point at infinity” so that the resulting space is compact and extends the original space in a minimal way.
  • E. hasMaximalCompactSubgroupOf
    Indicates that one mathematical group is the maximal compact subgroup contained within another group.
  • 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_69f349d25cbc8190869998de5915886b completed April 30, 2026, 12:23 p.m.
NER Named-entity recognition batch_69f720c7ea608190bd92d69643330823 completed May 3, 2026, 10:17 a.m.
PD Predicate disambiguation batch_69f71cc8074c81909ae09bea2acf1a09 completed May 3, 2026, 10 a.m.
PDg Predicate description generation batch_69f71f8df5d48190944fbfbd9d573868 completed May 3, 2026, 10:12 a.m.
Created at: May 1, 2026, 2:03 a.m.