Triple

T12177363
Position Surface form Disambiguated ID Type / Status
Subject virial theorem E290121 entity
Predicate hasFormulation P3660 FINISHED
Object tensor virial theorem E290121 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: tensor virial theorem | Statement: [virial theorem, hasFormulation, tensor virial theorem]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: tensor virial theorem
Context triple: [virial theorem, hasFormulation, tensor virial theorem]
  • A. virial theorem chosen
    The virial theorem is a fundamental result in mechanics and astrophysics that relates the average kinetic and potential energies of a bound system in equilibrium, widely used to study the stability and dynamics of stars, galaxies, and gas clouds.
  • B. Cauchy stress tensor
    The Cauchy stress tensor is a fundamental concept in continuum mechanics that mathematically represents the internal distribution of forces (stresses) within a deformable material at a point.
  • C. Kirchhoff stress tensor
    The Kirchhoff stress tensor is a measure of stress in a deforming continuum obtained by scaling the Cauchy stress with the determinant of the deformation gradient, commonly used in finite-strain formulations.
  • D. stress–energy tensor
    The stress–energy tensor is a fundamental object in relativity that encodes the density and flow of energy and momentum in spacetime, acting as the source term for gravitational and electromagnetic field equations.
  • E. Sackur–Tetrode equation
    The Sackur–Tetrode equation is a fundamental formula in statistical mechanics that gives the absolute entropy of an ideal monatomic gas in terms of its volume, temperature, and particle number.
  • 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_69d6ab4d6c00819095a9a7c35de83cfb completed April 8, 2026, 7:23 p.m.
NER Named-entity recognition batch_69d915fa6ff08190a1ddb3606c229cad completed April 10, 2026, 3:23 p.m.
NED1 Entity disambiguation (via context triple) batch_69f5f6ab19288190a882c842d74a2e30 completed May 2, 2026, 1:05 p.m.
Created at: April 8, 2026, 9:50 p.m.