no experience but what i would do is

1. file a police report and retain records that it was stolen

2. Since there is no way of knowing every place you landed you will not be able to put down each entry.

3. Start a new logbook and on the first page at the bottom where the totals go in the brought forward put the last KNOWN hours you had. Probably from an 8710 or something along those lines. An educated guess will not be good enough for the FAA.

4. Keep a record that it was stolen to cover your 6

5. (probably should have been number 1) Notify the local FSDO and ask their opinion and document the time and date you called and who you spoke with for your records.