I've generated a few KM graphs from TCGA data. I am unsure of what the p-value provided by the function and the graphed chart indicates. I just looked through the survival.pdf from cran but am still unsure.

I currently believe that the p-value indicates with a 0.95 confidence that there is statistically significant variance of survival probabilities over time between the curves.

Here is a representative graph:

The data is being run through the following code to generate this graph:

#Generate survival object
survival_object <- Surv(time = cesc_survival_data$survival_time, event = cesc_survival_data$survival_status)
#Fit the survival data to a curve that is defined by the quartiles of zscore SLC2A2
quartiles_SLC2A2_expression_survival_curve <- survfit(survival_object ~ zscore_value_SLC2A2_quartile, data = cesc_survival_data)
#Generate a graph of survival object/expression quartile curve of zscore SLC2A2 median quartiles
ggsurvplot(quartiles_SLC2A2_expression_survival_curve, data = cesc_survival_data, 
           #conf.int = TRUE,
           pval = TRUE,
           fun = "pct",
           risk.table = TRUE,
           size = 1,
           linetype = "strata",
           #palette = c("#E7B800", "#2E9FDF"),
           legend = "bottom",
           legend.title = "Expression Quartiles",
           legend.labs = c("Low Exp.", "Med. Low Exp.", "Med. High Exp.", "High Exp."),
           caption = "SLC2A2 Expression Quartile Survival Curve"
)

If it is helpful the complete code can be found at: https://github.com/andrewnrdoig/RIndyResearch