Triple

T3117099
Position Surface form Disambiguated ID Type / Status
Subject Painlevé–Gullstrand coordinates E65088 entity
Predicate relatedTo P37 FINISHED
Object Lemaître coordinates
Lemaître coordinates are a coordinate system in general relativity that smoothly describes the spacetime around a Schwarzschild black hole by removing the coordinate singularity at the event horizon.
E65088 NE FINISHED

How this triple was built (4 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: Lemaître coordinates | Statement: [Painlevé–Gullstrand coordinates, relatedTo, Lemaître coordinates]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Lemaître coordinates
Context triple: [Painlevé–Gullstrand coordinates, relatedTo, Lemaître coordinates]
  • A. Lemaître–Tolman metric
    The Lemaître–Tolman metric is an exact spherically symmetric, inhomogeneous solution of Einstein’s field equations used in cosmology to model non-uniform distributions of matter without assuming spatial homogeneity.
  • B. Schwarzschild coordinates
    Schwarzschild coordinates are a spherical coordinate system used in general relativity to describe the spacetime geometry outside a spherically symmetric, non-rotating mass, such as a static black hole.
  • C. Kerr–Schild coordinates
    Kerr–Schild coordinates are a coordinate system used to express the Kerr spacetime metric in a form that highlights its structure as a perturbation of flat Minkowski space along a principal null direction.
  • D. Eddington–Finkelstein coordinates
    Eddington–Finkelstein coordinates are a coordinate system in general relativity that smoothly covers a black hole’s event horizon, avoiding the coordinate singularity present in standard Schwarzschild coordinates.
  • E. Painlevé–Gullstrand coordinates
    Painlevé–Gullstrand coordinates are a coordinate system for the Schwarzschild black hole that is regular at the event horizon and represents spacetime as seen by freely falling observers.
  • F. None of above. chosen
  • G. Unsure - the case is ambiguous/there is not enough information to decide.
NEDg Description generation gpt-5.1
Instruction
Generate a one-sentence description of the target entity. 
You are given a context triple in the form (subject, predicate, object), where the object is the target entity. 
# Instructions
Use the triple to infer relevant information about the entity. Describe the entity based on what is most defining, well-known. 
Avoid repeating the information from the triple, unless really essential.
# Response Format
Return only the sentence: "Description: [one-sentence description of the target entity]"
Input
Entity: Lemaître coordinates
Triple: [Painlevé–Gullstrand coordinates, relatedTo, Lemaître coordinates]
Generated description
Lemaître coordinates are a coordinate system in general relativity that smoothly describes the spacetime around a Schwarzschild black hole by removing the coordinate singularity at the event horizon.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Lemaître coordinates
Target entity description: Lemaître coordinates are a coordinate system in general relativity that smoothly describes the spacetime around a Schwarzschild black hole by removing the coordinate singularity at the event horizon.
  • A. Lemaître–Tolman metric
    The Lemaître–Tolman metric is an exact spherically symmetric, inhomogeneous solution of Einstein’s field equations used in cosmology to model non-uniform distributions of matter without assuming spatial homogeneity.
  • B. Schwarzschild coordinates
    Schwarzschild coordinates are a spherical coordinate system used in general relativity to describe the spacetime geometry outside a spherically symmetric, non-rotating mass, such as a static black hole.
  • C. Kerr–Schild coordinates
    Kerr–Schild coordinates are a coordinate system used to express the Kerr spacetime metric in a form that highlights its structure as a perturbation of flat Minkowski space along a principal null direction.
  • D. Eddington–Finkelstein coordinates
    Eddington–Finkelstein coordinates are a coordinate system in general relativity that smoothly covers a black hole’s event horizon, avoiding the coordinate singularity present in standard Schwarzschild coordinates.
  • E. Painlevé–Gullstrand coordinates chosen
    Painlevé–Gullstrand coordinates are a coordinate system for the Schwarzschild black hole that is regular at the event horizon and represents spacetime as seen by freely falling observers.
  • F. None of above.

Provenance (5 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_69ad857fcc088190b0c4d45a5cde6f61 completed March 8, 2026, 2:19 p.m.
NER Named-entity recognition batch_69ada4e5d1488190a2ab199625fdf05d completed March 8, 2026, 4:33 p.m.
NED1 Entity disambiguation (via context triple) batch_69b20f606fc881908754a78e6aa2de64 completed March 12, 2026, 12:57 a.m.
NEDg Description generation batch_69b2134b5eac8190adadc4a27cfe10c7 completed March 12, 2026, 1:13 a.m.
NED2 Entity disambiguation (via description) batch_69b216fcb1a881908edeadc639de31ae completed March 12, 2026, 1:29 a.m.
Created at: March 8, 2026, 3:04 p.m.