Winkel I (sphere) - ESRI:53018

WKT

PROJCS["Sphere_Winkel_I", 
	GEOGCS["GCS_Sphere", 
		DATUM["D_Sphere", 
			SPHEROID["Sphere", 6371000.0, 0.0]], 
		PRIMEM["Greenwich", 0.0], 
		UNIT["Degree", 0.0174532925199433]], 
	PROJECTION["Winkel_I"], 
	PARAMETER["False_Easting", 0.0], 
	PARAMETER["False_Northing", 0.0], 
	PARAMETER["Central_Meridian", 0.0], 
	PARAMETER["Standard_Parallel_1", 50.45977625218981], 
	UNIT["Meter", 1.0]]

WKT2

PROJCRS["Sphere_Winkel_I", 
	BASEGEOGCRS["GCS_Sphere", 
		DATUM["D_Sphere", 
			ELLIPSOID["Sphere", 6371000.0, 0.0]], 
		PRIMEM["Greenwich", 0.0], 
		CS[ellipsoidal, 2], 
		AXIS["Latitude (lat)", north, 
			ORDER[1]], 
		AXIS["Longitude (lon)", east, 
			ORDER[2]], 
		ANGLEUNIT["Degree", 0.0174532925199433]], 
	CONVERSION["Winkel_I", 
		METHOD["Winkel_I"], 
		PARAMETER["False_Easting", 0.0], 
		PARAMETER["False_Northing", 0.0], 
		PARAMETER["Central_Meridian", 0.0], 
		PARAMETER["Standard_Parallel_1", 50.45977625218981]], 
	CS[Cartesian, 2], 
	AXIS["Easting (X)", east, 
		ORDER[1]], 
	AXIS["Northing (Y)", north, 
		ORDER[2]], 
	LENGTHUNIT["Meter", 1.0], 
	ID["Esri", "53018"]]

Data from @esri/proj-codes

{
  "wkid": 53018,
  "latestWkid": 53018,
  "gcsWkid": 4035,
  "macro": "PE_PCS_SPHERE_WINKEL_I",
  "name": "Sphere_Winkel_I",
  "wkt": "PROJCS[\"Sphere_Winkel_I\",GEOGCS[\"GCS_Sphere\",DATUM[\"D_Sphere\",SPHEROID[\"Sphere\",6371000.0,0.0]],PRIMEM[\"Greenwich\",0.0],UNIT[\"Degree\",0.0174532925199433]],PROJECTION[\"Winkel_I\"],PARAMETER[\"False_Easting\",0.0],PARAMETER[\"False_Northing\",0.0],PARAMETER[\"Central_Meridian\",0.0],PARAMETER[\"Standard_Parallel_1\",50.45977625218981],UNIT[\"Meter\",1.0]]",
  "wkt2": "PROJCRS[\"Sphere_Winkel_I\",BASEGEOGCRS[\"GCS_Sphere\",DATUM[\"D_Sphere\",ELLIPSOID[\"Sphere\",6371000.0,0.0]],PRIMEM[\"Greenwich\",0.0],CS[ellipsoidal,2],AXIS[\"Latitude (lat)\",north,ORDER[1]],AXIS[\"Longitude (lon)\",east,ORDER[2]],ANGLEUNIT[\"Degree\",0.0174532925199433]],CONVERSION[\"Winkel_I\",METHOD[\"Winkel_I\"],PARAMETER[\"False_Easting\",0.0],PARAMETER[\"False_Northing\",0.0],PARAMETER[\"Central_Meridian\",0.0],PARAMETER[\"Standard_Parallel_1\",50.45977625218981]],CS[Cartesian,2],AXIS[\"Easting (X)\",east,ORDER[1]],AXIS[\"Northing (Y)\",north,ORDER[2]],LENGTHUNIT[\"Meter\",1.0],ID[\"Esri\",\"53018\"]]",
  "description": "Winkel I (sphere)",
  "authority": "Esri",
  "version": "3.0.1",
  "deprecated": "no",
  "areaname": "World",
  "extent": {
    "slat": -90,
    "nlat": 90,
    "llon": -180,
    "rlon": 180
  }
}