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.