Which kernel does HORIZONS get the Geometric Albedo from? I am new to using SPICE and the SPICE Toolkit.  My goal is to extract body radius, albedo, and distance from the sun of a number of solar system objects.  The tools provided by NAIF are great and I have been able to get the information items I need from HORIZONS.  I would like to use mice and the right selection of kernels to construct a table of body information.  I am unable to locate the geometric albedo.  It must be in there somewhere since HORIZONS reports it in its body summary (example below).  Please point me to which kernel(s) the information in the example is extracted from.

Horizons> 500



JPL/HORIZONS                500 Selinur (1903 LA)          2018-Apr-26 15:32:09
Rec #:     500 (+COV) Soln.date: 2018-Apr-05_11:16:59   # obs: 1803 (1903-2018)

IAU76/J2000 helio. ecliptic osc. elements (au, days, deg., period=Julian yrs): 

EPOCH=  2455485.5 ! 2010-Oct-16.00 (TDB)         Residual RMS= .28963
   EC= .1453222754778464   QR= 2.232822954662918   TP= 2455876.0720004463
   OM= 290.0072894804399   W=  75.13840817439457   IN= 9.764544808931515
   A= 2.612473556522465    MA= 268.8351702646443   ADIST= 2.992124158382012
   PER= 4.22266            N= .233413627           ANGMOM= .02750885
   DAN= 2.46541            DDN= 2.65631            L= 4.9371039
   B= 9.434865500000001    MOID= 1.25316           TP= 2011-Nov-10.5720004463  

Asteroid physical parameters (km, seconds, rotational period in hours):
   GM= n.a.                RAD= 20.414             ROTPER= 8.0111
   H= 9.3                  G= .150                 B-V= n.a.
                           ALBEDO= .202            STYP= n.a.                  

ASTEROID comments: 
1: soln ref.= JPL#41, OCC=0
2: source=ORB



Select ... [A]pproaches, [E]phemeris, [F]tp,[M]ail,[R]edisplay, [S]PK,?,:
As barrycarter commented, codes_300ast_20100725
has ephemerides for 300 large asteroids, generated in 2010 and supposedly valid from 1800 to 2199.
For other asteroids, a Celestia developer forum shows how to how to request an SPK from HORIZONS's telnet interface.
However, they appear to use the SPK for ephemeris only, adding albedo in Celestia's own SSC file format.
In SPICE documentation, neither the tutorials nor the "required reading" seems to mention albedo.

A more direct approach to your goal might be the JPL Small Body Database Search Engine.
For example, if you query for numbered NEO asteroids with absolute magnitude H &lt; 16, you get a table of 169 rows.
Diameter and albedo are known for some asteroids but not others, even though their orbits and rotational periods may be well established.