Triple

T9297154
Position Surface form Disambiguated ID Type / Status
Subject Auslander–Buchsbaum formula E223665 entity
Predicate involvesInvariant P1256 FINISHED
Object depth(R) — 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: depth(R) | Statement: [Auslander–Buchsbaum formula, involvesInvariant, depth(R)]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: involvesInvariant
Context triple: [Auslander–Buchsbaum formula, involvesInvariant, depth(R)]
  • A. invariantOf
    Indicates that one element is an invariant (a property or quantity that remains unchanged) with respect to another element, system, or transformation.
  • B. invariantUnder
    Indicates that a property, structure, or quantity remains unchanged when a specified transformation or operation is applied.
  • C. invariantType
    Indicates that one entity has a type or classification that remains constant or unchanged under specified conditions or transformations.
  • D. involves chosen
    Indicates that an entity participates in, is a part of, or is implicated within a particular event, process, or relationship.
  • E. constantInvolved
    Indicates that a constant participates in or is directly involved in the specified relation, operation, or context.
  • 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_69ca8423edb08190bc0c91287a484768 completed March 30, 2026, 2:09 p.m.
NER Named-entity recognition batch_69cd089e3ae88190aa4181cdd85a67b8 completed April 1, 2026, 11:59 a.m.
PD Predicate disambiguation batch_69cc7a5aeb748190afb89c6bbd2a6d6f completed April 1, 2026, 1:52 a.m.
Created at: March 30, 2026, 7:36 p.m.