All the following described data are scaled as described in the published paper besides the SHPM images in Figure 3 which are raw data.

Figure 1
	Data plotted in Figures 1(a-c) are organised in individual folders and presented in labelled columns (tab delimited).
(A)	RxT_Fig1A.txt
(B) The word ‘EXP’ indicates experimental data and the word ‘Model’ indicates data from theoretical fitting.
	EXP_77K_Fig1B.txt
	EXP_86K_Fig1B.txt
	EXP_88K_Fig1B.txt
	Model_77K_Fig1B.txt
	Model_86K_Fig1B.txt
	Model_88K_Fig1B.txt
(C)	JcxT_Fig1C.txt

Figure 2
	Data plotted in Figures (b-e) are organised in individual folders and presented in labelled columns (tab delimited). Here, HHc2 represents the Figure caption H/Hc = 2, ‘p’ indicates the positive branch of the curve, and ’n’ represents the negative branch of the curve.
(B) BxY_HHc2_p_Fig2B.txt 
	BxY_HHc2_n_Fig2B.txt
	BxY_HHc1.5_p_Fig2B.txt
	BxY_HHc1.5_n_Fig2B.txt
	BxY_HHc1_p_Fig2B.txt
	BxY_HHc1_n_Fig2B.txt
	BxY_HHc0.5_p_Fig2B.txt
	BxY_HHc0.5_n_Fig2B.txt
(C) BxY_HHc2_p_Fig2C.txt
	BxY_HHc2_n_Fig2C.txt
	BxY_HHc1_p_Fig2C.txt
	BxY_HHc1_n_Fig2C.txt
	BxY_HHc0_p_Fig2C.txt
	BxY_HHc0_n_Fig2C.txt
	BxY_HHc-1_p_Fig2C.txt
	BxY_HHc-1_n_Fig2C.txt
	BxY_HHc-2_p_Fig2C.txt
	BxY_HHc-2_n_Fig2C.txt
(D) Here, jcjc0_2 represents the Figure caption jc/jc0 = 2.
	BxH_jcjc0_2_Fig2D.txt
	BxH_jcjc0_1.5_Fig2D.txt
	BxH_jcjc0_1_Fig2D.txt
(E) (dB/dy)xH_jcjc0_2_Fig2E.txt
	(dB/dy)xH_jcjc0_1.5_Fig2E.txt
	(dB/dy)xH_jcjc0_1_Fig2E.txt

Figure 3
	SHM raw data underpinning Figures 3(a-j) are organised in individual files with their respective applied magnetic field and temperature indicated.
	SHPM-raw_83K_0.53Hc_Fig3A.txt
	SHPM-raw_83K_0.58Hc_Fig3B.txt
	SHPM-raw_83K_0.61Hc_Fig3C.txt
	SHPM-raw_83K_0.63Hc_Fig3D.txt
	SHPM-raw_83K_0.64Hc_Fig3E.txt
	SHPM-raw_77K_0.41Hc_Fig3F.txt
	SHPM-raw_77K_0.57Hc_Fig3G.txt
	SHPM-raw_77K_0.62Hc_Fig3H.txt
	SHPM-raw_77K_0.68Hc_Fig3I.txt
	SHPM-raw_77K_0.76Hc_Fig3J.txt

Figure 4
	Data plotted in Figure 4 are organised in three files containing the X, Y and Z coordinates for the critical current surface map at 83 K.
	Jc_surface_83K_X.txt
	Jc_surface_83K_Y.txt
	Jc_surface_83K_Z.txt

Figure 5
	Data plotted in Figures 5(a-d) are organised in individual folders. Figures 5(a-b) are each organised in three files containing X, Y and Z coordinates for the linescans surface map at 83 K and 77 K. In Figures 5(c-d), the word ‘EXP’ indicates experimental data and the word ‘Model’ indicates data from theoretical fitting.
(A) SHM_Linescans_83K_X.txt
	SHM_Linescans_83K_Y.txt
	SHM_Linescans_83K_Z.txt
(B) SHM_Linescans_77K_X.txt
	SHM_Linescans_77K_Y.txt
	SHM_Linescans_77K_Z.txt
(C) EXP_(dB/dy)xH_83K_blue.txt
	EXP_(dB/dy)xH_83K_green.txt
	EXP_(dB/dy)xH_83K_magenta.txt
	Model_(dB/dy)xH_83K_blue.txt
	Model_(dB/dy)xH_83K_green.txt
	Model_(dB/dy)xH_83K_magenta.txt
(D) EXP_(dB/dy)xH_77K_blue.txt
	EXP_(dB/dy)xH_77K_green.txt
	EXP_(dB/dy)xH_77K_magenta.txt
	Model_(dB/dy)xH_77K_blue.txt
	Model_(dB/dy)xH_77K_green.txt
	Model_(dB/dy)xH_77K_magenta.txt

Figure 6
	Data plotted in Figures 6(a-c) are organised in individual folders. Figures 6(a-b) are each organised in three files containing X, Y and Z coordinates for the linescans surface map at 65 K during first flux front penetration and reversed-field penetration.
(A) SHM_Linescans_65K_X.txt
	SHM_Linescans_65K_Y.txt
	SHM_Linescans_65K_Z.txt
(B) SHM_Linescans_65K_X_reversed.txt
	SHM_Linescans_65K_Y_reversed.txt
	SHM_Linescans_65K_Z_reversed.txt
(C) 65K_BxH_Fig6C.txt