Compiled Military Service Records (CMSR)
Each volunteer soldier has one Compiled Military Service Record (CMSR) for each regiment in which he served. An index is available online at the Civil War Soldiers and Sailors System website or on microfilm at selected NARA facilities and large genealogical research libraries. The CMSR contains basic information about the soldier's military career, and it is the first source the researcher should consult. The CMSR is an envelope (a jacket) containing one or more cards. These cards typically indicate that the soldier was present or absent during a certain period of time. Other cards may indicate the date of enlistment and discharge, amount of bounty paid him, and other information such as wounds received during battle or hospitalization for injury or illness. The soldier's place of birth may be indicated; if foreign born, only the country of birth is stated. The CMSR may contain an internal jacket for so-called "personal papers" of various kinds. These may include a copy of the soldier's enlistment paper, papers relating to his capture and release as a prisoner of war, or a statement that he had no personal property with him when he died. Note, however, that the CMSR rarely indicates battles in which a soldier fought; that information must be derived from other sources.
A CMSR is as complete as the surviving records of an individual soldier or his unit. The War Department compiled the CMSRs from the original muster rolls and other records some years after the war to permit more rapid and efficient checking of military and medical records in connection with claims for pensions and other veterans' benefits. The abstracts were so carefully prepared that it is rarely necessary to consult the original muster rolls and other records from which they were made. When the War Department created CMSRs at the turn of the century, information from company muster rolls, regimental returns, descriptive books, hospital rolls, and other records was copied verbatim onto cards. A separate card was prepared each time an individual name appeared on a document. These cards were all numbered on the back, and these numbers were entered onto the outside jacket containing the cards. The numbers on the jacket correspond with the numbers on the cards within the jacket. These numbers were used by the War Department only for control purposes while the CMSRs were being created; the numbers do not refer to other records regarding a veteran nor are they useful for reference purposes today.
http://www.archives.gov/genealogy/military/civil-war/index.html#confed
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See this example from your referenced site:
NAVE'S BATTALION
ARK CAVALRY CSA
This unit was organized in Northeast Arkansas in April 1865. There are no muster rolls. These records were compiled exclusively from parole documents from May 1865 at Wittsburg, Ark. (Microfilm roll #36 ARK)
NAME...... RANK....... UNIT....... PLACE OF BIRTH....... PLACE ENLISTED
BAKER, A.J. - PVT - C - White Co, TN - Texas Co, MO
BAKER, JOHN - CPT - C - TN - Texas Co, MO
BAKER, JAMES A. - C - TN - Texas Co, MO
BASS, H.A - B - Ireland - Oregon Co, MO
BASS. J.T. - B - VA - Oregon, Co., MO
BERRY, A.E. - C - MO - MO
BOYD, WILLIAM 1LT - B - MO - MO
BRENTS, BENJAMIN - PVT - E - MO - Batesville, AR
CAMPBELL, JAMES M. - 3LT - B MO - Dent Co, MO
CAMPBELL, JOHN I. - CPT - B - MO - MO
CARPENTER, A. - B - MO - AR
CLEMENTS, J.T. - B - TN - Fulton Co, AR
COBBS, J.T. - 3LT - C - KY - Oregon Co, MO
CROWDER, J.B. - B - IRELAND - Marion Co, MO
DULLWORTH, J.W. - B - KY - Oregon Co, MO
EAST, ALLEN C. - PVT - E - MO - Smithville, AR
EAST, DAVID R. - PVT - E - AR - Smithville, AR
EAST, JOHN V. - PVT - E - TN - Powhatan, AR
FIPPS, JOSHUA - PVT - E - TN - Smithville, AR
FIPPS, LEVI - PVT - E - TN - Smithville, AR
FLEMING, JEHU - CPT - (Asst Surgeon (F&S)
FLEMING, JOHN - 1LT - (Adjutant)(F&S)
FRIEND, E.B. - B
GELLEHAN, WILLIAM - PVT - E - TN - Batesville, AR
GREEN, A.J. - B - TN - Marion Co, AR
HAGLER, G.F. - 1LT - C - NC - Oregon, Co, MO
HAGLER, JOHN - B - NC - Oregon Co, MO
HARNES, JOHN - B - TN - Lawrence Co, AR
HARY, T.J. - B - TN - Randolph Co, AR
JADWIN, N.C. - B - TN - Dent Co, MO
JOHNSON, JAMES H. - PVT - E - TN - Batesville, AR
JONES, JOHN - B - MO - Oregon Co, MO
KING, THOMAS R. - 3LT - E - MO - Lawrence Co, AR
MADLOCK, SMITH - B - TN - Oregon Co, MO
MARAM, JAMES - B - SC - Fulton Co, AR
MATKIN, W.S. - 2LT - C - KY - Oregon Co, MO
McPRATER, JOHN - C - AR - Fulton Co, AR
MEDLOCK, J.G. - B - SC - Oregon Co, MO
MEDLEY, G.C. - B - TN - Oregon Co, MO
MEDLEY, J.B. - B - TN - Oregon Co, MO
MEDLEY, V.C. - B - TN - Oregon Co, MO
MEDLOCK, SILES W. - 1LT - B - KY - Randolph Co, AR
MOFFITT, ELI M. - SGT - E - AR - Smithville, AR
MOFFITT, WILLIAM E. - PVT - E - AR - Smithville, AR
NAVE, R.H. - MAJ - F&S
PEWETT, M.P. - B - TN - Oregon Co, MO
PHILLIPS, J.B. - B - MO - Oregon Co, MO
PHILLIPS, HENRY - C - AR - AR
PHILLIPS, WILLIAM - B - AR
PHILLIPS, W.M. - CPT-QM F&S
RATLIFF, WILLIAM B. - C - KY - Lawrence Co, AR
RICHARDSON, LAWSON E. G. - PVT - E - AR - Smithville, AR
RODGERS, D.T. - B - TN - Lawrence Co, AR
SMITH, ALLEN M. - PVT - E - MO - MO
SMITH, DAVID W. - 2LT - E - MO - Smithville, AR
STARR, WILLIAM D. - 1LT - E - KY - Smithville, AR
STRINGER, S.W. - CPL - B - MO - Shannon Co, MO
TOLSON, F.T. - B - SC - Lawrence Co, AR
TURLEY, JAMES - C - Washington Co, MO - Ripley Co, MO
WHITE, J.H. - B - TN - Marion Co, AR
WHITMIRE, J.H. - B - MO - Oregon Co, MO
WRIGHT, GEORGE M. - B - MO - Randolph Co, AR
PLEASE NOTE: THIS INFORMATION WAS TAKEN FROM THE MICROFILM OF THE NATIONAL ARCHIVES.