How to debug java.lang.NegativeArraySizeException in log?

[G.S.]

We have countless messages like this in our log:

Sep 03, 2014 7:44:55 AM SEVERE winstone.Logger logInternal

Error parsing body of the request
java.lang.NegativeArraySizeException
	at winstone.WinstoneRequest.parseRequestParameters(WinstoneRequest.java:560)
	at winstone.WinstoneRequest.getParameter(WinstoneRequest.java:1058)
	at javax.servlet.ServletRequestWrapper.getParameter(ServletRequestWrapper.java:89)
	at javax.servlet.ServletRequestWrapper.getParameter(ServletRequestWrapper.java:89)
	at org.kohsuke.stapler.RequestImpl.hasParameter(RequestImpl.java:234)
	at org.kohsuke.stapler.ResponseImpl.serveExposedBean(ResponseImpl.java:264)
	at hudson.model.Api.doJson(Api.java:193)
	at sun.reflect.GeneratedMethodAccessor609.invoke(Unknown Source)
	at sun.reflect.DelegatingMethodAccessorImpl.invoke(DelegatingMethodAccessorImpl.java:25)
	at java.lang.reflect.Method.invoke(Method.java:597)
	at org.kohsuke.stapler.Function$InstanceFunction.invoke(Function.java:297)
	at org.kohsuke.stapler.Function.bindAndInvoke(Function.java:160)
	at org.kohsuke.stapler.Function.bindAndInvokeAndServeResponse(Function.java:95)
	at org.kohsuke.stapler.MetaClass$1.doDispatch(MetaClass.java:111)
	at org.kohsuke.stapler.NameBasedDispatcher.dispatch(NameBasedDispatcher.java:53)
	at org.kohsuke.stapler.Stapler.tryInvoke(Stapler.java:685)
	at org.kohsuke.stapler.Stapler.invoke(Stapler.java:799)
	at org.kohsuke.stapler.MetaClass$4.doDispatch(MetaClass.java:201)
	at org.kohsuke.stapler.NameBasedDispatcher.dispatch(NameBasedDispatcher.java:53)
	at org.kohsuke.stapler.Stapler.tryInvoke(Stapler.java:685)
	at org.kohsuke.stapler.Stapler.invoke(Stapler.java:799)
	at org.kohsuke.stapler.MetaClass$12.dispatch(MetaClass.java:381)
	at org.kohsuke.stapler.Stapler.tryInvoke(Stapler.java:685)
	at org.kohsuke.stapler.Stapler.invoke(Stapler.java:799)
	at org.kohsuke.stapler.MetaClass$6.doDispatch(MetaClass.java:239)
	at org.kohsuke.stapler.NameBasedDispatcher.dispatch(NameBasedDispatcher.java:53)
	at org.kohsuke.stapler.Stapler.tryInvoke(Stapler.java:685)
	at org.kohsuke.stapler.Stapler.invoke(Stapler.java:799)
	at org.kohsuke.stapler.Stapler.invoke(Stapler.java:587)
	at org.kohsuke.stapler.Stapler.service(Stapler.java:218)
	at javax.servlet.http.HttpServlet.service(HttpServlet.java:45)
	at winstone.ServletConfiguration.execute(ServletConfiguration.java:248)
	at winstone.RequestDispatcher.forward(RequestDispatcher.java:333)
	at winstone.RequestDispatcher.doFilter(RequestDispatcher.java:376)
	at hudson.util.PluginServletFilter$1.doFilter(PluginServletFilter.java:96)
	at hudson.plugins.greenballs.GreenBallFilter.doFilter(GreenBallFilter.java:58)
	at hudson.util.PluginServletFilter$1.doFilter(PluginServletFilter.java:99)
	at net.bull.javamelody.MonitoringFilter.doFilter(MonitoringFilter.java:203)
	at net.bull.javamelody.MonitoringFilter.doFilter(MonitoringFilter.java:181)
	at net.bull.javamelody.PluginMonitoringFilter.doFilter(PluginMonitoringFilter.java:86)
	at org.jvnet.hudson.plugins.monitoring.HudsonMonitoringFilter.doFilter(HudsonMonitoringFilter.java:90)
	at hudson.util.PluginServletFilter$1.doFilter(PluginServletFilter.java:99)
	at hudson.util.PluginServletFilter.doFilter(PluginServletFilter.java:88)
	at winstone.FilterConfiguration.execute(FilterConfiguration.java:194)
	at winstone.RequestDispatcher.doFilter(RequestDispatcher.java:366)
	at hudson.security.csrf.CrumbFilter.doFilter(CrumbFilter.java:48)
	at winstone.FilterConfiguration.execute(FilterConfiguration.java:194)
	at winstone.RequestDispatcher.doFilter(RequestDispatcher.java:366)
	at hudson.security.ChainedServletFilter$1.doFilter(ChainedServletFilter.java:84)
	at hudson.security.UnwrapSecurityExceptionFilter.doFilter(UnwrapSecurityExceptionFilter.java:51)
	at hudson.security.ChainedServletFilter$1.doFilter(ChainedServletFilter.java:87)
	at jenkins.security.ExceptionTranslationFilter.doFilter(ExceptionTranslationFilter.java:117)
	at hudson.security.ChainedServletFilter$1.doFilter(ChainedServletFilter.java:87)
	at org.acegisecurity.providers.anonymous.AnonymousProcessingFilter.doFilter(AnonymousProcessingFilter.java:125)
	at hudson.security.ChainedServletFilter$1.doFilter(ChainedServletFilter.java:87)
	at org.acegisecurity.ui.rememberme.RememberMeProcessingFilter.doFilter(RememberMeProcessingFilter.java:142)
	at hudson.security.ChainedServletFilter$1.doFilter(ChainedServletFilter.java:87)
	at org.acegisecurity.ui.AbstractProcessingFilter.doFilter(AbstractProcessingFilter.java:271)
	at hudson.security.ChainedServletFilter$1.doFilter(ChainedServletFilter.java:87)
	at org.acegisecurity.ui.basicauth.BasicProcessingFilter.doFilter(BasicProcessingFilter.java:174)
	at hudson.security.ChainedServletFilter$1.doFilter(ChainedServletFilter.java:87)
	at jenkins.security.ApiTokenFilter.doFilter(ApiTokenFilter.java:64)
	at hudson.security.ChainedServletFilter$1.doFilter(ChainedServletFilter.java:87)
	at org.acegisecurity.context.HttpSessionContextIntegrationFilter.doFilter(HttpSessionContextIntegrationFilter.java:249)
	at hudson.security.HttpSessionContextIntegrationFilter2.doFilter(HttpSessionContextIntegrationFilter2.java:67)
	at hudson.security.ChainedServletFilter$1.doFilter(ChainedServletFilter.java:87)
	at hudson.security.ChainedServletFilter.doFilter(ChainedServletFilter.java:76)
	at hudson.security.HudsonFilter.doFilter(HudsonFilter.java:164)
	at winstone.FilterConfiguration.execute(FilterConfiguration.java:194)
	at winstone.RequestDispatcher.doFilter(RequestDispatcher.java:366)
	at org.kohsuke.stapler.compression.CompressionFilter.doFilter(CompressionFilter.java:46)
	at winstone.FilterConfiguration.execute(FilterConfiguration.java:194)
	at winstone.RequestDispatcher.doFilter(RequestDispatcher.java:366)
	at hudson.util.CharacterEncodingFilter.doFilter(CharacterEncodingFilter.java:81)
	at winstone.FilterConfiguration.execute(FilterConfiguration.java:194)
	at winstone.RequestDispatcher.doFilter(RequestDispatcher.java:366)
	at winstone.RequestDispatcher.forward(RequestDispatcher.java:331)
	at winstone.RequestHandlerThread.processRequest(RequestHandlerThread.java:227)
	at winstone.RequestHandlerThread.run(RequestHandlerThread.java:150)
	at java.util.concurrent.Executors$RunnableAdapter.call(Executors.java:441)
	at java.util.concurrent.FutureTask$Sync.innerRun(FutureTask.java:303)
	at java.util.concurrent.FutureTask.run(FutureTask.java:138)
	at winstone.BoundedExecutorService$1.run(BoundedExecutorService.java:77)
	at java.util.concurrent.ThreadPoolExecutor$Worker.runTask(ThreadPoolExecutor.java:886)
	at java.util.concurrent.ThreadPoolExecutor$Worker.run(ThreadPoolExecutor.java:908)
	at java.lang.Thread.run(Thread.java:662)

From what I understand, this is coming from API calls to Jenkins.

We have many jobs in Jenkins, triggered by many different ways (SCM, CLI, API...)

I would love to know how can I debug this (on a production environment), or even see were the requests are coming from so I can isolate the problem.

OS: CentOS 6.5, Jenkins version: 1.533.

Thanks.