Triple

T7229948
Position Surface form Disambiguated ID Type / Status
Subject Planck units E154875 entity
Predicate simplifiesEquation P75749 FINISHED
Object Friedmann equations E1603 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: Friedmann equations | Statement: [Planck units, simplifiesEquation, Friedmann equations]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Friedmann equations
Context triple: [Planck units, simplifiesEquation, Friedmann equations]
  • A. FLRW cosmological models
    FLRW cosmological models are a family of solutions to Einstein’s field equations that describe a homogeneous and isotropic expanding or contracting universe, forming the standard framework for modern cosmology.
  • B. Einstein field equations chosen
    The Einstein field equations are the core mathematical framework of general relativity, relating the curvature of spacetime to the distribution of matter and energy.
  • C. Lemaître–Hubble law
    The Lemaître–Hubble law is the fundamental cosmological relation that expresses the proportionality between a galaxy’s recessional velocity and its distance, providing the first observational evidence for the expansion of the universe.
  • D. Raychaudhuri equation
    The Raychaudhuri equation is a fundamental relation in general relativity that describes how the expansion of a congruence of nearby geodesics evolves, playing a key role in the formulation of gravitational focusing and singularity theorems.
  • E. Schwarzschild–Milne equations
    The Schwarzschild–Milne equations are fundamental integro-differential equations in radiative transfer theory that describe the propagation and scattering of radiation through a plane-parallel, absorbing and emitting medium.
  • 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_69c68811dd1c8190ac460bb39e64e1f0 completed March 27, 2026, 1:37 p.m.
NER Named-entity recognition batch_69c6f04089408190aa20ed6767590ae1 completed March 27, 2026, 9:01 p.m.
NED1 Entity disambiguation (via context triple) batch_69c7cc22a39481909a2f38014260f302 completed March 28, 2026, 12:40 p.m.
Created at: March 27, 2026, 2:54 p.m.