Triple

T13051303
Position Surface form Disambiguated ID Type / Status
Subject Hawking–Penrose singularity theorems E327453 entity
Predicate basedOn P98 FINISHED
Object Einstein field 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: Einstein field equations | Statement: [Hawking–Penrose singularity theorems, basedOn, Einstein field equations]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07 
Target entity: Einstein field equations
Context triple: [Hawking–Penrose singularity theorems, basedOn, Einstein field equations]
  • A. 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.
  • B. Einstein–Maxwell equations
    The Einstein–Maxwell equations are the coupled set of field equations in general relativity that describe how spacetime curvature and electromagnetic fields interact and influence each other.
  • C. 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.
  • D. Einstein–Hilbert action
    The Einstein–Hilbert action is the fundamental action in general relativity whose variation yields Einstein’s field equations, expressing gravity as the dynamics of spacetime curvature.
  • E. Einstein–Infeld–Hoffmann equations
    The Einstein–Infeld–Hoffmann equations are post-Newtonian equations of motion in general relativity that describe the dynamics of gravitating bodies with relativistic corrections beyond Newtonian gravity.
  • 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_69d8076e64308190904fb5c93517c901 completed April 9, 2026, 8:09 p.m.
NER Named-entity recognition batch_69d980b98fa081908cfa92116799e874 completed April 10, 2026, 10:59 p.m.
NED1 Entity disambiguation (via context triple) batch_69f6cbda9b548190a10a4835b2c75fdc completed May 3, 2026, 4:15 a.m.
Created at: April 9, 2026, 8:57 p.m.