I am seeking the SDSS data to reconstruct the Universe evolution.  The problem I face is that for a given z (redshift), the position D(z) seems to be always presented in terms of models (L-CDM, Friedmann-Lemaitre equation, etc).

To make things more complicated, the z is oftentimes presented in terms of principal component analysis, that is, spectroscopic analysis is done using several template (which I suppose are spectral features).  

My questions are:

a) Does the spectroscopic analysis fit a single z per galaxy (I suspect so).

b) Where is the raw data versus z versys spherical coordinates.

c) It seems that there is pre and post versions of the data.  What kind of adjustment is being performed on it?  Is this adjustment prior to model fitting or the adjustment already reflects the Inflation Model.

I was provided the following clues:

Paper describing data 

https://arxiv.org/abs/1411.1074

This is where I understood the data is.

http://www.sdss.org/dr12/

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