Triple

T16574897
Position Surface form Disambiguated ID Type / Status
Subject Shing-Tung Yau E402683 entity
Predicate knownFor P22 FINISHED
Object positive mass theorem in general relativity E603722 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: positive mass theorem in general relativity | Statement: [Shing-Tung Yau, knownFor, positive mass theorem in general relativity]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07 
Target entity: positive mass theorem in general relativity
Context triple: [Shing-Tung Yau, knownFor, positive mass theorem in general relativity]
  • A. positive mass theorem chosen
    The positive mass theorem is a fundamental result in differential geometry and general relativity stating that, under suitable conditions, the total mass of an isolated gravitational system is nonnegative and vanishes only for flat spacetime.
  • B. Penrose singularity theorem
    The Penrose singularity theorem is a fundamental result in general relativity showing that, under physically reasonable conditions such as gravitational collapse, spacetime must contain singularities where classical physics breaks down.
  • C. Hawking–Penrose singularity theorems
    The Hawking–Penrose singularity theorems are foundational results in general relativity that show, under broad physical conditions, spacetime must contain singularities such as those inside black holes or at the Big Bang.
  • D. The Mathematical Theory of Black Holes
    The Mathematical Theory of Black Holes is a landmark monograph that presents a rigorous, comprehensive treatment of the physics and mathematics underlying black hole solutions in general relativity.
  • E. Three-manifolds with positive Ricci curvature
    "Three-manifolds with positive Ricci curvature" is a landmark 1982 paper by Richard S. Hamilton that introduced the Ricci flow and launched the modern geometric analysis approach to understanding the topology of three-dimensional manifolds.
  • 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_69d88387363c8190a97a0c942130de97 completed April 10, 2026, 4:58 a.m.
NER Named-entity recognition batch_69e3595bbbbc8190b023f4872908c031 completed April 18, 2026, 10:13 a.m.
NED1 Entity disambiguation (via context triple) batch_6a006eea409c8190808170a0b3f4bd17 completed May 10, 2026, 11:41 a.m.
Created at: April 10, 2026, 5:16 a.m.