Triple

T7678437
Position Surface form Disambiguated ID Type / Status
Subject Yang–Mills existence and mass gap problem E173924 entity
Predicate requiresProofIn P78881 FINISHED
Object Minkowski spacetime E8632 NE 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: Minkowski spacetime | Statement: [Yang–Mills existence and mass gap problem, requiresProofIn, Minkowski spacetime]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Minkowski spacetime
Context triple: [Yang–Mills existence and mass gap problem, requiresProofIn, Minkowski spacetime]
  • A. Minkowski space-time chosen
    Minkowski space-time is a four-dimensional geometric framework that unifies three-dimensional space and time into a single continuum used to describe events and motion in special relativity.
  • B. spacetime manifold
    A spacetime manifold is a four-dimensional, smooth geometric framework in general relativity that models the combined fabric of space and time on which gravitational phenomena are described.
  • C. Minkowski diagram
    A Minkowski diagram is a spacetime diagram used in special relativity to visually represent events, worldlines, and the effects of relative motion such as time dilation and length contraction.
  • D. Lorentzian geometry
    Lorentzian geometry is the branch of differential geometry that studies manifolds equipped with metrics of Lorentzian signature, providing the mathematical framework for general relativity and spacetime physics.
  • E. Minkowski interval
    The Minkowski interval is the spacetime separation between two events in special relativity, remaining invariant under Lorentz and Poincaré transformations.
  • F. None of above.
  • G. Unsure - the case is ambiguous/there is not enough information to decide.

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_69c6995703e0819081de77361b602e78 completed March 27, 2026, 2:51 p.m.
NER Named-entity recognition batch_69c708affd048190bf21bcc1796a3c39 completed March 27, 2026, 10:46 p.m.
NED1 Entity disambiguation (via context triple) batch_69c8a240057081908826a5371ef5215b completed March 29, 2026, 3:53 a.m.
Created at: March 27, 2026, 4:01 p.m.