The log book which should have come with the car has a number which matches the LSR #. If you did not recieve the book with the car you should contact the previous owner. All inspections at any Land Speed Event are in the log book with a any discrepancies noted if any and what was done to correct them. IF the log book is not available one will need to be purchased prior to the vehicles next inspection, normally at a BNI, SCTA or USFRA event. This new log book will come with a new LSR number. These books are very important. Good Luck.
.Personal opinion: I hope you keep it red and black. #470 always looked grat and photoed well.