Triple

T17752544
Position Surface form Disambiguated ID Type / Status
Subject Stone’s theorem on one-parameter unitary groups E443147 entity
Predicate converseStatement P128200 FINISHED
Object If A is a self-adjoint operator on a Hilbert space H, then U(t)=exp(itA) defines a strongly continuous one-parameter unitary group — 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: If A is a self-adjoint operator on a Hilbert space H, then U(t)=exp(itA) defines a strongly continuous one-parameter unitary group | Statement: [Stone’s theorem on one-parameter unitary groups, converseStatement, If A is a self-adjoint operator on a Hilbert space H, then U(t)=exp(itA) defines a strongly continuous one-parameter unitary group]
PD Predicate disambiguation gpt-5-mini-2025-08-07 
Target predicate: converseStatement
Context triple: [Stone’s theorem on one-parameter unitary groups, converseStatement, If A is a self-adjoint operator on a Hilbert space H, then U(t)=exp(itA) defines a strongly continuous one-parameter unitary group]
  • A. hasConceptualOpposite
    Indicates that one entity represents a concept that is fundamentally opposed or contrary in meaning to the concept represented by another entity.
  • B. conjugate
    Indicates that one entity is a grammatical or mathematical counterpart of another, linked by a specific transformation such as verb inflection or complex-number pairing.
  • C. negates
    Indicates that one entity denies, contradicts, or renders false the assertion, state, or effect expressed by another.
  • D. counterpartRelation
    Indicates a reciprocal relationship where two entities serve as corresponding or equivalent counterparts to each other in a given context.
  • E. statement
    Indicates that an entity makes, issues, or expresses a declarative assertion, claim, or remark about something.
  • 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_69d8b9edf16c8190a59ebd245d378f4f completed April 10, 2026, 8:50 a.m.
NER Named-entity recognition batch_69e4841c0540819093a32d759775c61f completed April 19, 2026, 7:28 a.m.
PD Predicate disambiguation batch_69e3cde9dc288190af0e2198487f2051 completed April 18, 2026, 6:31 p.m.
PDg Predicate description generation batch_69e3cfab7edc8190b663282d565a0389 completed April 18, 2026, 6:38 p.m.
Created at: April 10, 2026, 10:10 a.m.