Triple

T22328584
Position Surface form Disambiguated ID Type / Status
Subject Fubini–Study form E551964 entity
Predicate isUniqueUpToScaleAs P102508 FINISHED
Object U(n+1)-invariant Kähler form on CP^n 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: U(n+1)-invariant Kähler form on CP^n | Statement: [Fubini–Study form, isUniqueUpToScaleAs, U(n+1)-invariant Kähler form on CP^n]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: isUniqueUpToScaleAs
Context triple: [Fubini–Study form, isUniqueUpToScaleAs, U(n+1)-invariant Kähler form on CP^n]
  • A. isUniqueUpToScaling chosen
    Indicates that one object is determined uniquely except for multiplication by a nonzero scalar factor.
  • B. isAssociativeUpToIsomorphism
    Indicates that a binary operation is associative in a structural sense, meaning any two ways of parenthesizing a finite product are related by a canonical isomorphism rather than strict equality.
  • C. isIsomorphicTo
    Indicates that two structures have a one-to-one, structure-preserving correspondence between their elements, making them equivalent in form even if not identical in content.
  • D. isIntegralCombinationOf
    Indicates that one entity can be expressed as a linear combination of other entities using only integer coefficients.
  • E. isUniqueTo
    Indicates that a property, characteristic, or association belongs exclusively to a particular entity and is not shared with any other.
  • 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_69e11e482f788190b78d1588fc26d606 completed April 16, 2026, 5:37 p.m.
NER Named-entity recognition batch_69f15769fdb48190b84e0c019ab63579 completed April 29, 2026, 12:57 a.m.
PD Predicate disambiguation batch_69e73004d9e88190bb862319a5aea06b completed April 21, 2026, 8:06 a.m.
Created at: April 16, 2026, 8:43 p.m.