REAGENT or RESOURCE	SOURCE	IDENTIFIER
Antibodies
CD127 PE (A7R34) 1:100	BioLegend	Cat#135009 RRID:AB_1937252
CD4 Brilliant Violet 786 (GK1.5) 1:1000	BD Biosciences	Cat#563331 RRID:AB_2738140
CD4 SuperBright600 (RM4-5) 1:700	Thermo Fisher	Cat#63-0042-80 RRID:AB_2637461
CD45.1 APC/eFluor 780 (A20) 1:200	Thermo Fisher	Cat#47-0453-82 RRID:AB_1582228
CD45.2 FITC (104) 1:100	BD Biosciences	Cat#561874 RRID:AB_10894189
CD49a Brilliant Blue 700 (Ha31/8) 1:100	BD Biosciences	Cat#742164 RRID:AB_2861198
CD49a Brilliant Violet 510 (Ha31/8) 1:50	BD Biosciences	Cat#740144 RRID:AB_2739900
CD49d Brilliant Violet 711 (R1-2) 1:20	BD Biosciences	Cat#740661 RRID:AB_2740350
CD69 Brilliant Violet 711 (H1.2F3) 1:20	BD Biosciences	Cat#740664 RRID:AB_2740352
CD69 PE/Cy7 (H1.2F3) 1:50	BD Biosciences	Cat#552879 RRID:AB_394508
CD8α Brilliant UV 395 (53–6.7) 1:400/1:500	BD Biosciences	Cat#563786 RRID:AB_2732919
CD8β Brilliant Violet 480 (H35–17.2) 1:1000	BD Biosciences	Cat#746835 RRID:AB_2744086
CD8β Brilliant Violet 650 (H35–17.2) 1:1500	BD Biosciences	Cat#740552 RRID:AB_2740253
CX3CR1 Brilliant Violet 421 (SA011F11) 1:2000	BioLegend	Cat#149023 RRID:AB_2565706
CXCR3 Brilliant Violet 650 (CXCR3-173) 1:100	BioLegend	Cat#126531 RRID:AB_2563160
CXCR6 PE (SA051D1) 1:1000	BioLegend	Cat#151103 RRID:AB_2566545
Eomes PE/Cy7 (Dan11mag) 1:70	Thermo Fisher	Cat#25-4875-80 RRID:AB_2573453
FoxP3 PE/CF594 (MF223) 1:100	BD Biosciences	Cat#562466 RRID:AB_11151905
GATA3 Brilliant Violet 421 (L50-823) 1:20	BD Biosciences	Cat#563349 RRID:AB_2738152
Granzyme B PerCPCy5.5 (QA16A02) 1:20	BioLegend	Cat#372211 RRID:AB_2728378
IFNγ Brilliant Violet 785 (XMG1.2) 1:50	BioLegend	Cat#505837 RRID:AB_11219004
IL-10 PE (JES5-16E3) 1:100	BioLegend	Cat#505007 RRID:AB_315361
KLRG1 Brilliant Violet 711 (2F1) 1:200	BD Biosciences	Cat#564014 RRID:AB_2738542
LAG3 Brilliant Violet 650 (C9B7W) 1:50	BioLegend	Cat#125227 RRID:AB_2687209
Ly6C PE/Cy7 (AL-21) 1:1000	BD Biosciences	Cat#560593 RRID:AB_1727557
PD1 Brilliant Violet 421 (J43) 1:50	BD Biosciences	Cat#565942 RRID:AB_2739406
RORγt Brilliant Violet 650 (Q31-378) 1:20	BD Biosciences	Cat#564722 RRID:AB_2738915
T-bet Brilliant Violet 605 (4B10) 1:20	BioLegend	Cat#644817 RRID:AB_11219388
TCRβ AlexaFluor 700 (H57-597) 1:50	BioLegend	Cat#109223 RRID:AB_1027654
TIM3 PE (5D12) 1:300	BD Biosciences	Cat#566346 RRID:AB_2739702
Chemicals, peptides, and recombinant proteins
Sodium chloride 0.9% for irrigation	Baxter	Cat#AHF7123
DMEM (high glucose + glutamine + pyruvate)	Thermo Fisher	Cat#10569010
HBSS with Ca2+ and Mg2+	Gibco	Cat#14025-134
Collagenase II	Worthington Biochemicals	Cat#CLS-2
DNase I	Thermo Fisher	Cat#AM2224
Distilled H2O for irrigation	Baxter	Cat#AHF7113
PBS tablets	Thermo Fisher	Cat#18912014
Percoll	Cytiva Life Sciences	Cat#17–0891-01
10× PBS	Thermo Fisher	Cat#70013-032
Heat-inactivated newborn calf serum (HI-NCS)	Thermo Fisher	Cat#26010-074
Red blood cell lysis solution	Miltenyi Biotec	Cat#130-094-183
CD1d Tetramer APC (αGalCer loaded) 1:150	ProImmune	Cat#E001-4A-G
Critical commercial assays
Zombie UV Fixable Viability Kit 1:1000	BioLegend	Cat#423107
Brilliant Stain Buffer	BD Biosciences	Cat# 566349
FoxP3/Transcription Factor Staining Buffer Set	Thermo Fisher	Cat#00-5523-00
BD stabilizing fixative	BD Biosciences	Cat#338036
Optional: Cell Activation Cocktail (with Brefeldin A)	BioLegend	Cat#423304
Experimental models: Organisms/strains
Mouse B6.SJL-PtprcaPepcb/BoyJArc CD45.1+ H2b Liver transplant: male, 12–14 weeks, 25–30 g Heart transplant: female, 6–8 weeks	Animal Resources Centre	PTP
Mouse C57BL/6JArc CD45.2+ H2b Liver transplant: male, 12–14 weeks, 25–30 g Heart transplant: female, 6–8 weeks	Animal Resources Centre	B6
Mouse BALB/cArc CD45.2+ H2d Liver transplant: male, 12–14 weeks, 25–30 g Heart transplant: female, 6–8 weeks	Animal Resources Centre	BC
Software and algorithms
FlowJo v10	BD Biosciences	RRID: SCR_008520
Other
Isoflurane anesthetic (Isothesia)	Henry Schein	Cat#988–3244
Dissection board	DispoCut	Cat#M630-1
Surgical tape	3M	Cat#1530-0
Straight forceps	INKA Surgical Instruments	Cat#25547.15
Surgical scissors	INKA Surgical Instruments	Cat#1550.11
Clamp forceps	INKA Surgical Instruments	Cat#16305.01
Cotton tip applicators	N/A	N/A
Cotton balls	N/A	N/A
23 G Needle	BD	Cat#301810
30 G Needle	BD	Cat#305106
10 mL Syringe (without needle)	Terumo	Cat#SS+10L
3 mL Syringe (without needle)	Terumo	Cat#SS+03S
0.5 mL Insulin syringe	BD	Cat#326769
Scalpel (disposable, 23 blade, No. 4 handle)	Livingstone	Cat#SCP23L
5 mL Polycarbonate tubes	Techno Plas	Cat#C5016UU
15 mL Tubes	Greiner Bio-One	Cat#188271
50 mL Tubes	Greiner Bio-One	Cat#227261
70 μm Cell strainer	Greiner Bio-One	Cat#542070
1 mL Transfer pipettes	Sarstedt	Cat#86.1172
96-Well U bottom plates	Corning	Cat#353077
1.5 mL Graduated microtubes	Quality Scientific Plastics	Cat#509-GRD-Q
UltraComp eBeads Compensation Beads	Thermo Fisher	Cat#01–2222-42
Ultra Rainbow Calibration Kit	Spherotech	Cat#URCP-38-2K
Cytometer Setup and Tracking (CST) Beads	BD Biosciences	Cat#655051
Countess II Automated Cell Counter	Thermo Fisher	Cat#AMQAX1000
BD LSRFortessa Flow Cytometer	BD Biosciences	N/A