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Supplemental material table of contents

1. Supplemental Table 1. Number of observations included in present analysis stratified by visit year, and percentageof missing values for variables among CRIC Study participants included in the current analysis

2. Supplemental Table 2. Baseline characteristics of the CRIC cohort stratified by prevalent pruritus at the baseline visit

3. Supplemental Table 3. Incidence rates of moderate-to-severe pruritus stratified by baseline characteristics amongCRIC Study participants

4. Supplemental Table 4. Multivariable associations of demographic and clinical factors, including eGFR and urineprotein, and risk of incident moderate-to-severe pruritus among 1,951 CRIC Study

participants

5. Supplemental Table 5. Multivariable associations of demographic and clinical factors, using new race- free eGFRequations, and risk of incident moderate-to-severe pruritus among 1,951 CRIC Study participants

6. Supplemental Table 6. Hazard ratios for the risk of incident pruritus associated with a 10 mL/min/1.73 m2 lowereGFR calculated for incremental durations of follow-up time

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Supplemental Table 1. Number of observations included in present analysis stratified by visit year, and percentage of missing values for variables among CRIC Study participants included in the current analysis

Variable Visit Year

0 1 2 3 4 5 6 7 8 9 10 11 12 13

CRIC participants completing visit, N 3,939 3,520 3,271 3,077 2,870 2,710 2,555 2,424 2,252 2,074 1,841 1,660 1,206 671 Participants included in present analysis*, N 1,951 1,713 1,448 1,253 1,092 957 867 783 695 614 525 474 333 171 Demographic factors

Age 0 -- -- -- -- -- -- -- -- -- -- -- -- --

Sex 0 -- -- -- -- -- -- -- -- -- -- -- -- --

Race/ethnicity 0 -- -- -- -- -- -- -- -- -- -- -- -- --

Kidney measures

eGFR-CRIC 0 1.1 2.0 2.1 3.8 4.9 5.8 7.8 10.1 10.4 8.0 11.6 12.6 13.5

Urine protein 0 6.7 14.1 18.3 21.0 20.7 12.6 12.3 13.1 14.0 11.1 15.2 16.5 20.5

Clinical factors

Body mass index 0 0.8 1.9 2.3 3.6 5.9 6.3 8.1 10.1 11.1 8.4 9.9 13.8 13.5

Diabetes 0 0 0 0 0 0 0 0 0 0 0 0 0 0

Hypertension 0 0 0 0.1 0.2 0.3 0.6 0.4 0.9 1.0 0.8 1.5 1.8 0

Coronary artery disease 0 0 0 0 0 0 0 0 0 0 0 0 0 0

Peripheral vascular disease 0 0 0 0 0 0 0 0 0 0 0 0 0 0

Congestive heart failure 0 0 0 0 0 0 0 0 0 0 0 0 0 0

Lung disease 0 1.1 1.2 1.0 1.2 0.2 1.7 0.6 0.6 0.7 1.0 0.6 1.2 0.6

Active smoking 0 0 0 0 0 0 0 0 0 0 0 0 0 0

Opioid use 0 0.9 1.5 1.1 2.3 1.5 2.6 2.8 2.6 1.8 1.5 2.0 3.5 0

Depressive symptoms 0 -- -- -- -- -- -- -- -- -- -- -- -- --

Laboratory parameters

Calcium 1.5 1.1 2.6 2.3 3.9 4.9 5.8 7.7 10.2 10.4 8.0 11.6 12.6 13.5

Phosphate 1.6 49.9 51.5 52.4 58.1 100 100 100 100 100 100 100 100 100

PTH 1.9 28.1 52.5 55.9 65.5 90.0 100 100 100 100 100 100 100 100

Hemoglobin 0.4 1.6 2.8 2.9 4.3 5.6 6.5 8.6 10.8 11.1 8.2 11.6 13.5 12.9

hs-CRP 0.1 97.5 98.9 99.4 95.7 97.5 94.9 98.0 100 100 100 100 100 100

Serum albumin 1.5 0.9 2.6 2.2 3.9 4.9 5.8 7.7 10.1 10.4 8.0 11.6 12.6 13.5

IL-6 1.5 97.5 98.8 99.4 23.4 97.5 94.7 98.0 100 100 100 100 100 100

Data displayed as % missingness, unless otherwise indicated. “--” Indicates only baseline values of variable were included in our models.

*Participants were included in the present analysis if they did not report any pruritus at the baseline visit and had complete baseline data on all demographic factors, kidney measures (except for urine protein), and clinical factors listed in the table. Participants were removed from the analysis set as they developed incident pruritus or were censored

Only baseline values of these lab parameters were included in our primary analysis. We did a sensitivity analysis using all available data for calcium, phosphate, and PTH, reported in the supplementary data.

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Supplemental Table 2. Baseline characteristics of the CRIC cohort stratified by prevalent pruritus at the baseline visit

Characteristics Pruritus at baseline visit

Yes No P

N (%) 1,783 (46) 2,131 (54)*

Demographic factors

Mean age (SD), yr 58 (±11) 57 (±11) 0.05

Female, N (%) 842 (47) 924 (43) 0.02

Race/ethnicity, N (%) 0.33

NH-White 732 (41) 901 (42)

NH-Black 738 (41) 897 (42)

Hispanic 244 (14) 250 (12)

Other 69 (4) 83 (4)

Kidney measures

Mean eGFR (SD), mL/min/1.73 m2 43 (±17) 47 (±17) <0.001 Median urine protein (IQR), mg/gCr 187 (62-977) 132 (54-626) <0.001 Clinical factors

Mean body mass index (SD), kg/m2 32 (±8) 33 (±9) <0.001

Diabetes, N (%) 931 (52) 967 (45) <0.001

Hypertension, N (%) 1,547 (87) 1,823 (86) 0.27

Coronary artery disease, N (%) 447 (25) 411 (19) <0.001 Peripheral vascular disease, N (%) 154 (9) 108 (5) <0.001 Congestive heart failure, N (%) 229 (13) 150 (7) <0.001

Lung disease, N (%) 315 (18) 261 (12) <0.001

Current smoking, N (%) 239 (13) 271 (13) 0.52

Opioid use, N (%) 215 (12) 195 (9) 0.003

Depressive symptoms, N (%) <0.001

None (BDI 0-10) 1,112 (63) 1,697 (81)

Moderate (BDI 11-13) 206 (12) 151 (7)

Severe (BDI ≥14) 445 (25) 259 (12)

Mineral metabolism markers

Mean serum calcium (SD), mg/dL 9.2 (±0.5) 9.2 (±0.5) 0.71 Mean serum phosphate (SD), mg/dL 3.8 (±0.7) 3.7 (±0.7) <0.001 Median intact PTH (IQR), pg/mL 57 (36-96) 51 (33-83) <0.001 Hemoglobin

Male: Mean hemoglobin (SD), g/dL 13.0 (±1.8) 13.2 (±1.8) 0.01 Female: Mean hemoglobin (SD), g/dL 11.9 (±1.5) 12.1 (±1.5) 0.01 Inflammatory markers

Median hsCRP (IQR), mg/L 3.0 (1.2-7.5) 2.2 (1.0-5.6) <0.001 Mean serum albumin (SD), g/dL 3.9 (±0.5) 3.9 (±0.5) 0.04 Median IL-6 (IQR), pg/mL 2.1 (1.3-3.6) 1.7 (1.1-2.8) <0.001 Out of 3,939 total CRIC participants, 25 CRIC participants were missing KDQOL data on pruritus at the baseline visit. Groups compared using t-tests, Pearson’s Chi-squared, or Wilcoxon rank- sum tests as appropriate.

*The number of CRIC participants reporting no pruritus at the baseline visit is 2,131. Because we used a complete case analysis for the present study, we excluded 180 of these participants due to missing data on key covariates (clinical factors included in our main model).

Abbreviations: SD, standard deviation; NH, non-Hispanic; IQR, interquartile range; BDI, Beck’s Depression Inventory; PTH, parathyroid hormone; hsCRP, high-sensitivity C-reactive protein; IL- 6, interleukin-6

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Supplemental Table 3. Incidence rates of moderate-to-severe pruritus stratified by baseline characteristics among CRIC Study participants

Incident pruritus per 100 person-years (95% CI)

P Demographic factors

Age 0.10

≤44 y 4.2 (3.4 - 5.3)

45-64 y 4.8 (4.4 - 5.4)

≥65 y 5.6 (4.9 - 6.5)

Sex 0.01

Male 4.5 (4.1 – 5.0)

Female 5.6 (5.0 - 6.2)

Race/ethnicity 0.002

NH-White 4.2 (3.7 - 4.7)

NH-Black 5.8 (5.1 - 6.5)

Hispanic 6.2 (4.9 - 7.8)

Other 4.9 (3.3 - 7.2)

Kidney measures

CKD stage <0.001

G4&5 7.4 (6.0 – 9.0)

G3b 6.3 (5.6 - 7.2)

G3a 4.6 (4.0 - 5.3)

G1&2 3.2 (2.6 - 3.8)

Urine protein-to-creatinine ratio <0.001

<200 mg/gCr 4.3 (3.9 - 4.8) 200-1,000 mg/gCr 5.6 (4.8 - 6.6)

>1,000 mg/gCr 7.5 (6.2 – 9.0) Clinical factors

Body Mass Index <0.001

<25 kg/m2 4.1 (3.4 - 5.1) 25 to <30 kg/m2 4.1 (3.5 - 4.8)

≥30 kg/m2 5.8 (5.2 - 6.4)

Diabetes <0.001

No 4.1 (3.7 - 4.6)

Yes 6.3 (5.7 - 7.1)

Hypertension 0.04

No 4.0 (3.3 - 4.9)

Yes 5.2 (4.8 - 5.6)

Coronary artery disease 0.06

No 4.8 (4.4 - 5.2)

Yes 5.9 (5.0 – 7.0)

Peripheral vascular disease 0.001

No 4.8 (4.5 - 5.2)

Yes 8.5 (6.2 - 11.7)

Congestive heart failure 0.01

No 4.8 (4.5 - 5.2)

Yes 7.7 (5.7 - 10.3)

Lung disease 0.15

No 4.9 (4.5 - 5.3)

Yes 5.7 (4.7 – 7.0)

Current smoker <0.001

No 4.7 (4.3 - 5.1)

Yes 7.9 (6.5 - 9.6)

Opioids <0.001

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No 4.7 (4.3 - 5.1)

Yes 8.0 (6.5 - 9.9)

Depressive symptoms <0.001

None (BDI 0-10) 4.4 (4.0 - 4.8) Moderate (BDI 11-13) 6.9 (5.2 - 9.1) Severe (BDI ≥14) 9.6 (8.0 - 11.6) Mineral metabolism markers

Serum calcium 0.02

<9 mg/dL 4.1 (3.5 - 4.8)

9 – 9.4 mg/dL 5.3 (4.8 – 6.0)

≥9.5 mg/dL 5.4 (4.6 - 6.3)

Serum phosphate 0.01

<3 mg/dL 3.9 (3.1 – 5.0)

3-3.9 mg/dL 4.8 (4.3 - 5.3)

≥4.0 mg/dL 6.0 (5.2 - 6.9)

Intact PTH <0.001

0-64 pg/mL 4.4 (4.0 - 4.8)

≥65 pg/mL 6.2 (5.5 - 7.1)

Markers of anemia and inflammation

Hemoglobin <0.001

M: <12 g/dL; F: <11 g/dL 6.9 (5.9 - 8.1) M: ≥12 g/dL; F: ≥11 g/dL 4.6 (4.2 – 5.0)

hsCRP 0.002

0-3.0 mg/L 4.5 (4.0 - 4.9)

>3 mg/L 5.7 (5.1 - 6.4)

Serum albumin <0.001

<3.5 g/dL 7.3 (5.8 - 9.2) 3.5-3.9 g/dL 5.8 (5.1 - 6.5)

≥4.0 g/dL 4.3 (3.8 - 4.8)

IL-6 <0.001

0-3.0 pg/mL 4.5 (4.1 - 4.9)

>3 pg/mL 7.2 (6.2 - 8.5)

P-values from log-rank tests for equality of survivor functions

Abbreviations: NH, non-Hispanic; BDI, Beck’s Depression Inventory; PTH, parathyroid hormone; hsCRP, high-sensitivity C-reactive protein; IL-6, interleukin-6

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Supplemental Table 4. Multivariable associations of demographic and clinical factors, including eGFR and urine protein, and risk of incident moderate-to-severe pruritus among 1,951 CRIC Study participants

Risk Factors

Model 2

Without proteinuria Model 2 With proteinuria

HR 95% CI HR 95% CI

eGFR, per 10 mL/min/1.73 m2 decrease 1.16 1.10-1.23 1.14 1.07 - 1.22 Log-proteinuria, per 1 g/24h increase -- -- 1.03 0.96 - 1.09 Demographic factors

Age

≤44 y 0.95 0.74 - 1.22 0.93 0.73 - 1.20

45-64 y 1.0 Ref 1.0 Ref

≥65 y 1.28 1.06 - 1.53 1.31 1.09 - 1.57

Sex

Male 1.0 Ref 1.0 Ref

Female 1.15 0.97 - 1.36 1.16 0.98 - 1.37

Race/ethnicity

NH-White 1.0 Ref 1.0 Ref

NH-Black 1.10 0.92 - 1.32 1.12 0.93 - 1.34

Hispanic 0.92 0.66 - 1.28 0.91 0.65 - 1.27

Other 1.09 0.71 - 1.67 1.10 0.72 - 1.69

Clinical factors

BMI, per kg/m2 increase 1.02 1.01 - 1.03 1.02 1.01 - 1.03

Diabetes (vs none) 1.24 1.05 - 1.46 1.22 1.03 - 1.45

Hypertension (vs none) 0.94 1.06 - 0.83 0.89 0.66 - 1.20 Coronary artery disease (vs none) 1.04 0.97 - 1.11 1.03 0.85 - 1.25 Peripheral vascular disease (vs none) 1.18 0.87 - 1.61 1.20 0.88 - 1.64 Congestive heart failure (vs none) 1.10 0.82 - 1.48 1.12 0.84 - 1.50 Lung disease (vs none) 1.14 0.93 - 1.39 1.100 0.90 - 1.35

Opioid use (vs none) 1.28 1.02 - 1.61 1.28 1.02 - 1.60

Current smoking (vs none) 1.56 1.25 - 1.96 1.59 1.26 - 1.99 Depressive symptoms

None (BDI 0-10) 1.0 Ref 1.0 Ref

Moderate (BDI 11-13) 1.40 1.03 - 1.9 1.40 1.03 - 1.91

Severe (BDI ≥14) 1.95 1.56 - 2.43 1.99 1.59 - 2.49

Bold font denotes a p value <0.05. Results shown above are from joint modeling of linear mixed effects models and proportional hazards survival models. Missing values for proteinuria were filled in with last value carried forward. Models were also adjusted for clinical center site.

Abbreviations: NH, non-Hispanic; BMI, body mass index; BDI, Beck’s Depression Inventory

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Supplemental Table 5. Multivariable associations of demographic and clinical factors, using new race-free eGFR equations, and risk of incident moderate-to-severe pruritus among 1,951 CRIC Study participants

Risk Factors Model 1 Model 2

HR 95% CI HR 95% CI

eGFR, per 10 mL/min/1.73 m2 decrease 1.17 1.11 - 1.24 1.15 1.08 - 1.22 Demographic factors

Age

≤44 y 0.86 0.67 - 1.10 0.95 0.74 - 1.21

45-64 y 1.0 Ref 1.0 Ref

≥65 y 1.19 1.00 - 1.42 1.30 1.09 - 1.56

Sex

Male 1.0 Ref 1.0 Ref

Female 1.25 1.06 - 1.46 1.15 0.98 - 1.36

Race/ethnicity

NH-White 1.0 Ref 1.0 Ref

NH-Black 1.31 1.11 - 1.56 1.12 0.93 - 1.34

Hispanic 1.12 0.81 - 1.55 0.92 0.66 - 1.28

Other 1.09 0.71 - 1.66 1.11 0.72 - 1.69

Clinical factors

BMI, per kg/m2 increase -- -- 1.02 1.01 - 1.03

Diabetes (vs none) -- -- 1.25 1.05 - 1.47

Hypertension (vs none) -- -- 0.91 0.67 - 1.23

Coronary artery disease (vs none) -- -- 1.03 0.85 - 1.25 Peripheral vascular disease (vs none) -- -- 1.22 0.90 - 1.66 Congestive heart failure (vs none) -- -- 1.15 0.85 - 1.54

Lung disease (vs none) -- -- 1.09 0.90 - 1.34

Opioid use (vs none) -- -- 1.30 1.03 - 1.62

Current smoking (vs none) -- -- 1.62 1.29 - 2.03

Depressive symptoms

None (BDI 0-10) -- -- 1.0 Ref

Moderate (BDI 11-13) -- -- 1.40 1.03 - 1.90

Severe (BDI ≥14) -- -- 1.97 1.58 - 2.46

Bold font denotes a p value <0.05. Results shown above are from joint modeling of linear mixed effects models and proportional hazards survival models. All clinical factors were included as time- updated variables in survival models, with the exception of depressive symptoms, for which only the baseline values were included. Model 1 includes eGFR, age, sex, race/ethnicity, and clinical site.

Model 2 includes covariates in Model 1, plus BMI and all clinical factors.

Abbreviations: NH, non-Hispanic; BMI, body mass index; BDI, Beck’s Depression Inventory

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Supplemental Table 6. Hazard ratios for the risk of incident pruritus

associated with a 10 mL/min/1.73 m2 lower eGFR calculated for incremental durations of follow-up time

Years of follow-up Average HR for moderate-to-severe pruritus (95% CI) associated with 10 mL/min/1.73 m2 lower eGFR

2 1.16 (1.04 - 1.30)

4 1.12 (1.04 - 1.20)

6 1.13 (1.06 - 1.21)

8 1.12 (1.05 - 1.18)

≥10 1.14 (1.08 - 1.20)

The similarity of these HRs suggests that the hazard remains relatively stable over the duration of follow-up

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