Triple

T23837653
Position Surface form Disambiguated ID Type / Status
Subject von Neumann entropy E590895 entity
Predicate monotoneUnder P10675 FINISHED
Object completely positive trace-preserving maps for appropriate combinations 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: completely positive trace-preserving maps for appropriate combinations | Statement: [von Neumann entropy, monotoneUnder, completely positive trace-preserving maps for appropriate combinations]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: monotoneUnder
Context triple: [von Neumann entropy, monotoneUnder, completely positive trace-preserving maps for appropriate combinations]
  • A. monotoneIn chosen
    Indicates that the relationship or function preserves a specified order when one of its arguments increases, meaning larger inputs (in that argument) do not lead to smaller outputs with respect to the given ordering.
  • B. majorizedBy
    Indicates that one entity is dominated or constrained by another according to a partial order or comparison, such that the second sets an upper bound or stronger condition on the first.
  • C. isUpperBoundFor
    Indicates that one value is greater than or equal to every element in a given set or collection, serving as an upper limit for them.
  • D. endedOrWeakenedBy
    Indicates that one entity causes the termination or reduction in strength, intensity, or effectiveness of another entity or condition.
  • E. isLimitOfIncreasingSequenceOfOrdinals
    Indicates that one ordinal is the limit (supremum) of an increasing sequence of smaller ordinals.
  • 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_69e25d1de32c8190a907afe9c3d6cd6d completed April 17, 2026, 4:17 p.m.
NER Named-entity recognition batch_69f1c883c7108190b3cce6fec0b8609a completed April 29, 2026, 8:59 a.m.
PD Predicate disambiguation batch_69f156036ad48190bc2ffdaf39218bcb completed April 29, 2026, 12:51 a.m.
Created at: April 17, 2026, 8:07 p.m.