| Reference number | Title | Date |
| EC/1856/14 | Smith, Archibald: certificate of election to the Royal Society | |
| IM/004267 | Smith, Archibald | nd |
| IM/Maull/004266 | Smith, Archibald | nd |
| PT/72/4/2 | Plate, diagrams showing action of soft iron rods on compass by unknown artist | [1865] |
| RR/6/260 | Referee's report by Archibald Smith, on a paper 'Contributions to terrestrial magnetism.—No. XI' by Edward Sabine | 9 July 1868 |
| RR/6/275 | Letter from Balfour Stewart, on a paper [attributed] 'On the causes of the loss of the iron-built sailing-ship 'Glenorchy.’' by Archibald Smith | 11 November 1869 |
| RR/6/218 | Referee's report by Archibald Smith, on a paper 'Magnetic survey of the West of France, 1868' by Stephen Joseph Perry | 2 November 1869 |
| RR/6/143 | Referee's report by Archibald Smith, on a paper 'On the tides of the Arctic Seas. - Part III. On the semidiurnal tides of Frederiksdal, near Cape Farewell, in Greenland' by Samuel Haughton | 19 May 1866 |
| RR/7/30 | Letter from Archibald Smith, on a paper 'Tables of the numerical values of the sine-integral, cosine-integral, and exponential-integral' by James Whitbread Lee Glaisher to the Secretary of the Royal Society | 31 March 1870 |
| RR/5/231 | Referee's report by Archibald Smith, on a paper 'Results of the magnetic observations at the Kew Observatory, from 1857 and 1858 to 1862 inclusive.-No. I' by Edward Sabine | 30 June 1863 |
| RR/6/259 | Referee's report by Archibald Smith, on two papers 'Results of the magnetic observations at the Kew Observatory.— No. III' and 'Contributions to terrestrial magnetism.-No. X' by Edward Sabine | 14 July 1866 |
| RR/7/2 | Referee's report by Archibald Smith, on a paper 'Note on an extension of the comparison of magnetic disturbances with magnetic effects inferred from observed terrestrial galvanic currents; and discussion of the magnetic effects inferred from galvanic currents on days of tranquil magnetism' by George Biddell Airy | 24 March 1870 |
| RR/4/84 | Referee's report by Archibald Smith, on a paper 'Reduction and discussion of the deviations of the compass observed on board of all the iron-built ships, and a selection of the wood-built steam-ships in Her Majesty's Navy, and the iron steam-ship 'Great Eastern'' by Frederick John Evans | 16 October 1860 |
| MM/15/7 | Letter from Walter E Smith to George Gabriel Stokes, with reply | 1880 |
| RR/3/60 | Referee's report by Archibald Smith, on a paper 'On the envelope of planes through the points of an ellipsoid at right angles to the radius vectors from the centre' by Arthur Cayley | 5 May 1858 |
| RR/6/115 | Referee's report by Archibald Smith, on a paper 'On the amount and changes of the polar magnetism at certain positions in Her Majesty's iron-built and armour-plated ship 'Northumberland'' by Frederick John Evans | 22 May 1868 |
| RR/6/88 | Referee's report by Archibald Smith, on a paper 'On the theory of local probability, applied to straight lines drawn at random in a plane; the methods used being also extended to the proof of certain new theorems in the integral calculus' by Morgan William Crofton | 30 March 1868 |
| RR/5/5 | Referee's report by Archibald Smith, on a paper 'On the diurnal inequalities of terrestrial magnetism, as deduced from observations made at the Royal Observatory, Greenwich, from 1841 to 1857' by George Biddell Airy | 20 December 1863 |
| PT/72/4/3 | Plate, position of compasses in profiles of ships by unknown artist | [1865] |
| PT/72/4/1 | Tables, from 'On the magnetic character of the armour-plated ships of the Royal Navy, and on the effect on the compass of particular arrangements of iron in a ship' by Frederick John Owen Evans and Archibald Smith | [1865] |
| MC/6/155 | Letter from T H Farrer, Office of Committee of Privy Council of Trade, Marine Department, Whitehall, to the Secretary of the Royal Society, Burlington House, Piccadilly | 25 June 1861 |
| MC/6 | Volume 6 of miscellaneous correspondence regarding business matters, sent to the Royal Society | 1859-1863 |
| MC/7/274 | Letter from C B [Charles Beaumont] Phipps, Windsor Castle, to Dr [William] Sharpey, [Secretary of the Royal Society] | 6 November 1865 |
| MC/7/310 | Letter from Archb [Archibald] Smith, [?], to [George Gabriel] Stokes, [Secretary of the Royal Society] | 1 March 1866 |
| MC/7 | Volume 7 of miscellaneous correspondence regarding business matters, sent to the Royal Society | 1864-1866 |
| MC/8/317 | Letter from Archibald Smith, Lincoln, to Dr [William] Sharpey, [Secretary of the Royal Society] | 13 February 1869 |
| RR/4/245 | Referee's report by Edward Sabine, on a paper 'On the effect produced on the deviations of the compass by the length and arrangement of the compass-needles; and on a new mode of correcting the quadrantal deviation' by Archibald Smith and Frederick John Owen Evans | 12 June 1861 |
| RR/6/10 | Referee's report by Archibald Smith, on a paper 'On the diurnal and annual inequalities of terrestrial magnetism, as deduced from observations made at the Royal Observatory, Greenwich, from 1858 to 1863; being a continuation of a communication on the diurnal inequalities from 1841 to 1857, printed in the Philosophical Transactions, 1863. With a note on the lunodiurnal and other lunar inequalities, as deduced from observations extending from 1848 to 1863' by George Biddell Airy | 14 April 1869 |
| PT/63/9 | Paper, 'On the effect produced on the deviations of the compass by the length and arrangement of the compass needles and on a new mode of correcting the quadrantal deviation' by Archibald Smith and Frederick John [Owen] Evans | [1861] |
| AP/43/3 | Unpublished paper, 'On scalar and clinant algebraical coordinate geometry, introducing a new and more general theory of analytical geometry, including the received as a particular care, and explaining "imaginary points, intersections, and lines"' by Alexander J [John] Ellis | 1860 |
| AP/43/3/1 | Unpublished manuscript, 'On scalar and clinant algebraical coordinate geometry, introducing a new and more general theory of analytical geometry, including the received as a particular care, and explaining "imaginary points, intersections, and lines"' by Alexander J [John] Ellis | 1860 |
| RR/7/64 | Referee's report by Archibald Smith, on a paper 'Contributions to terrestrial magnetism - No. XII. The magnetic survey of the British Islands, reduced to the epoch 1842·5' by Edward Sabine | 4 July 1870 |
| RR/5/70 | Referee's report by Thomas Romney Robinson, on a paper 'On the magnetic character of the armour-plated ships of the royal navy, and on the effect on the compass of particular arrangements of iron in a ship' by Frederick John Owen Evans and Archibald Smith | 22 April 1865 |
| AP/42/9 | Unpublished paper, 'On the laws of operation, and the systematisation of mathematics' Alexander J [John] Ellis | 1859 |
| MC/8 | Volume 8 of miscellaneous correspondence regarding business matters, sent to the Royal Society | 1867-1869 |
| PT/72/4 | Illustrations and tables, from 'On the magnetic character of the armour-plated ships of the Royal Navy, and on the effect on the compass of particular arrangements of iron in a ship' by Frederick John Owen Evans and Archibald Smith | [1865] |
| RR/4/2 | Referee's report by Archibald Smith, on a paper 'On the difference in the magnetic properties of hot-rolled and cold-rolled malleable iron, as regards the power of receiving and retaining induced magnetism of subpermanent character' by George Biddell Airy | 16 July 1862 |
| RR/4/85 | Letter from Archibald Smith, on a paper 'Reduction and discussion of the deviations of the compass observed on board of all the iron-built ships, and a selection of the wood-built steam-ships in Her Majesty's Navy, and the iron steam-ship 'Great Eastern'' by Frederick John Evans | 29 June 1860 |
| RR/4/244 | Referee's report by George Biddell Airy, on a paper 'On the effect produced on the deviations of the compass by the length and arrangement of the compass-needles; and on a new mode of correcting the quadrantal deviation' by Archibald Smith and Frederick John Owen Evans | 17 May 1861 |
| RR/5/233 | Referee's report by Archibald Smith, on a paper 'Results of hourly observations of the magnetic declination made by Sir Francis Leopold M‘Clintock, R. N., and the Officers of the Yacht 'Fox,' at Port Kennedy, in the Arctic Sea, in the winter of 1858-59; and a comparison of these results with those obtained by Captain Maguire, R. N., and the Officers of H. M. S. 'Plover,' in 1852, 1853, and 1854, at Point Barrow' by Edward Sabine | 21 January 1864 |
| RR/6/12 | Second referee's report by Archibald Smith, on a paper 'On the diurnal and annual inequalities of terrestrial magnetism, as deduced from observations made at the Royal Observatory, Greenwich, from 1858 to 1863; being a continuation of a communication on the diurnal inequalities from 1841 to 1857, printed in the Philosophical Transactions, 1863. With a note on the lunodiurnal and other lunar inequalities, as deduced from observations extending from 1848 to 1863' by George Biddell Airy | 19 May 1869 |
| RR/6/72 | Referee's report by Archibald Smith, on a paper 'On the solar variations of magnetic declination at Bombay' by Charles Chambers | 20 June 1869 |