| Reference number | Title | Date |
| EC/1912/01 | Arnold, John Oliver: certificate of election to the Royal Society | |
| IM/000132 | Arnold, John Oliver | nd |
| NLB/48/325 | Copy letter from Robert William Frederick Harrison, to Professor [John Oliver] Arnold, Fellow of the Royal Society | 16 June 1913 |
| RR/20/116 | Referee's report by John Oliver Arnold, on a paper 'On a meteoric iron from winburg, orange free state' by W A Douglas Rudge | November 1913 |
| NLB/54/839 | Copy letter from Robert William Frederick Harrison, Assistant Secretary of the Royal Society; to Professor [John Oliver] Arnold, FRS | 16 October 1917 |
| NLB/60/746 | Copy letter from Francis Alexander Towle, Assistant Secretary of the Royal Society; to Dr. [John Oliver] Arnold, FRS | 23 March 1921 |
| NLB/56/344 | Copy letter from Robert William Frederick Harrison, Assistant Secretary of the Royal Society; to Professor [John Oliver] Arnold, FRS | 17 January 1919 |
| NLB/56/538 | Copy letter from Robert William Frederick Harrison, Assistant Secretary of the Royal Society; to Sir Dugald Clerk, Chairman of the Applied Sciences Committee and FRS | 6 March 1919 |
| NLB/56/896 | Copy letter from Robert William Frederick Harrison, Assistant Secretary of the Royal Society; to Professor [John Oliver] Arnold, FRS | 23 June 1919 |
| NLB/55/558 | Copy letter from Robert William Frederick Harrison, Assistant Secretary of the Royal Society; to [Professor John Oliver] Arnold, FRS, University Sheffield | 11 June 1918 |
| NLB/55/878 | Copy letter from Robert William Frederick Harrison, Assistant Secretary of the Royal Society; to Professor [John Oliver] Arnold, FRS | 21 October 1918 |
| NLB/57/852 | [Copy letter from Edwin Deller, Assistant Secretary of the Royal Society]; to Messrs Harrison and Sons | 23 February 1920 |
| NLB/55/602 | Copy letter from Robert William Frederick Harrison, Assistant Secretary of the Royal Society; to [Professor John Oliver] Arnold, FRS | 22 June 1918 |
| NLB/62/376 | Copy letter from James Hopwood Jeans, Secretary of the Royal Society; to Professor [John Oliver] Arnold, FRS | 2 February 1922 |
| NLB/73/143 | Copy letter from Francis Alexander Towle, Assistant Secretary of the Royal Society; to the Press Manager, Messrs. Lafayette, Ltd., 3 Crane Court, Fleets Street, EC4 | 22 December 1930 |
| RR/26/5 | Referee's report by Walter Rosenhain, on a paper 'On the correlation of the chemical constitutions of "true steel" to their micrographic structures' by John Oliver Arnold | [February 1922] |
| NLB/60 | New Letter Book volume 60, copy letters sent from Royal Society administration | 2 December 1920-26 April 1921 |
| RR/26/4 | Referee's report by Henry Cort Harold Carpenter, on a paper 'On the correlation of the chemical constitutions of "true steel" to their micrographic structures' by John Oliver Arnold | 29 December 1921 |
| MC/35 | Volume 35 of miscellaneous correspondence regarding business matters, sent to the Royal Society | 1921 |
| MC/35/6 | Letter from [John Oliver] Arnold, 2 Pembridge Square, to the Secretaries of the Royal Society, London | 16 March 1921 |