Epigraphic Landscape Athens

The inscription possibly dates back to the age of the emperor Claudius. It was certainly inscribed after 31 AD, since the last line of col. V bears the name of the eponymous archon of 30/1 AD ([...]τιος).
See Schmalz 2009 21 no. 13Schmalz G.C.R., «Augustan and Julio-Claudian Athens. A New Epigraphy and Prosopograhy», (Mnemosyne Suppl. 302), Leiden - Boston 2009

The stone bears the so-called "Great Archon Catalogue", a very important list of the eponymous archons of Athens in charge from 129/8 BCE to 30/1 AD.
In col. I (ll. 1-8) survive the names of the archons from 129/8 (Lykiskos) to 123/2 (Demetrios).
Col. II (ll. 9-16) bears five complete names for the years 91/0-86/5, while in the last two very fragmentary lines of the column we can read only the first letters of two names. This column represents a particularly significant testimony to the most troubled period for the history of the city in the I century BCE, marked by the Athenian support to Mithridates and the sack of Athens by Sulla. These events are reflected in the list in the three-years archonship of Medeios in 91/0, 90/89, 89/8 BCE and in the word ἀναρχία replacing the name of the eponymous archon for the year 88/7 BCE (l. 12). Dow suggested that in that year may have been appointed archon a man of Athenion, whose name was then replaced in the list as a sort of "damnatio memoriae", while Habicht thought even possible that the eponymous archonship of 88/7 may have been entrusted, as a honorific title, to Mithridates himself; see SEG 26, 144Supplementum Epigraphicum Graecum. Bugh would have later proposed the name of Aristion (SEG 42, 137Supplementum Epigraphicum Graecum).
In col. III (ll. 17-24) we can read eight names of archons from 55/4 (Aristod-/Aristox- ?) to 48/7 BCE (Philokrates).
Col. IV (ll. 25-31) bears the list concerning the years from 17/6 to 11/0 BCE (Theophilos). The name of the archon of 17/6 BCE, extremely fragmentary, may have been that of Apolexis of Oion [cf. ELA id: 215 (date)].
Ultimately, in col. V (ll. 32-39) there are the names of the archons from 23/4 (M-) to 30/1 AD (- - -tios).

The first editors, mainly Dittenberger and Kirchner, thought likely that the original list included the names of the archons from the sack of Corinth (146/5 BCE) until the settlement of the senatorial province of "Achaia" (43/4 AD), each column bearing 38 lines, that is 38 names of archons for each of the 38 years included between those two events:
col. I, 146/5-110/9 BCE;
col. II, 109/8-72/1 BCE;
col. III, 71/0-34/3 BCE;
col. IV, 33/2 BCE-5/6 AD;
col. V, 6/7-43/4 AD. 
However, the text preserved does not allow to confirm this reconstruction.