Authalic sphere (ARCINFO) - ESRI:37008

WKT

GEOGCS["GCS_Sphere_ARC_INFO", 
	DATUM["D_Sphere_ARC_INFO", 
		SPHEROID["Sphere_ARC_INFO", 6370997.0, 0.0]], 
	PRIMEM["Greenwich", 0.0], 
	UNIT["Degree", 0.0174532925199433]]

WKT2

GEOGCRS["GCS_Sphere_ARC_INFO", 
	DATUM["D_Sphere_ARC_INFO", 
		ELLIPSOID["Sphere_ARC_INFO", 6370997.0, 0.0]], 
	PRIMEM["Greenwich", 0.0], 
	CS[ellipsoidal, 2], 
	AXIS["Longitude (lon)", east, 
		ORDER[1]], 
	AXIS["Latitude (lat)", north, 
		ORDER[2]], 
	ANGLEUNIT["Degree", 0.0174532925199433], 
	ID["Esri", "37008"]]

Data from @esri/proj-codes

{
  "wkid": 37008,
  "latestWkid": 37008,
  "macro": "PE_GCS_SPHERE_AI",
  "name": "GCS_Sphere_ARC_INFO",
  "wkt": "GEOGCS[\"GCS_Sphere_ARC_INFO\",DATUM[\"D_Sphere_ARC_INFO\",SPHEROID[\"Sphere_ARC_INFO\",6370997.0,0.0]],PRIMEM[\"Greenwich\",0.0],UNIT[\"Degree\",0.0174532925199433]]",
  "wkt2": "GEOGCRS[\"GCS_Sphere_ARC_INFO\",DATUM[\"D_Sphere_ARC_INFO\",ELLIPSOID[\"Sphere_ARC_INFO\",6370997.0,0.0]],PRIMEM[\"Greenwich\",0.0],CS[ellipsoidal,2],AXIS[\"Longitude (lon)\",east,ORDER[1]],AXIS[\"Latitude (lat)\",north,ORDER[2]],ANGLEUNIT[\"Degree\",0.0174532925199433],ID[\"Esri\",\"37008\"]]",
  "description": "Authalic sphere (ARCINFO)",
  "authority": "Esri",
  "version": "3.0.1",
  "deprecated": "no",
  "areaname": "World",
  "extent": {
    "slat": -90,
    "nlat": 90,
    "llon": -180,
    "rlon": 180
  }
}