A 39-year-old man is evaluated for a lower extremity rash of 3 weeks' duration. He has no recent history of a cold, flu, or other infection. He takes no medications.

On physical examination, temperature is 37.3 °C (99.2 °F), blood pressure is 136/86 mm Hg, pulse rate is 66/min, and respiration rate is 12/min. BMI is 24. Small vascular infarctions are observed on the ears and fingertips. There are scattered palpable purpuric lesions on the bilateral lower extremities, which are less prominent on the soles. Strength is reduced in the right wrist.

Laboratory studies:

Erythrocyte sedimentation rate

66 mm/h

C3

Normal

C4

Decreased

Creatinine

2.1 mg/dL (185.6 µmol/L)

Rheumatoid factor

Positive

Hepatitis C antibodies

Positive, genotype 2

Serum protein electrophoresis

Monoclonal spike in IgG band

Urinalysis

Positive for erythrocytes, leukocytes, erythrocyte casts

Which of the following is most likely to establish the diagnosis?