TSSciencecollaboration Answers Your Questions by  rating Statements  as Tentatively Established  when they have a tentatively established proof for which all proposed refutations have been refuted., and  Giving their demonstrations. You can not only see which statements have demonstrations, but trace backward in the Diagram to find the Demonstration, and to see how challenges have been refuted.

At a given time, the status may be recently changed by an incorrect challenge. The answer may be more reliable if there have been many views since the last status change. 

Frivolous challenges are forbidden by the terms of service for public graphs  and by the  owner for private ones

Please see the Guidlines. https://truthsift.com/how-truthsift-works

Also addied features to indicate how many views since last status change.

Because if a statement is rated TE every challenge to it or its demonstration has been met with a TE counter challenge.

No, because you must post a novel reason you believe is valid when you challenge. The last valid reason wins, as it should.

A Statement is  Tentatively Established, if at least one of its proofs are TE, and no challenge is, or if it has been posted without any proofs, and has no challenges. The reason for this latter is: If a proof has been proposed for the statement and subsequently challenged, we require that at least one proof be established before we consider the statement TE. However, when a statement is asserted without proof, and nobody has challenged it, we do not require an additional proof be added to declare it TE, since if further proof was necessary to conclude the declaration, someone could validly challenge on that basis. Thus every statement is TE when it is first added and until it or a statement in its demonstration is challenged. By the demonstration of a Statement, we mean a proof of it, together with (as necessary because of challenges) the demonstrations of its  proof statements and falsifications of its challenges.

A tentatively established statement has a demonstration for which every challenge has been refuted, and is thus considered Tentatively Established-- Established until someone raises a valid objection. A tentatively refuted statement has a tentatively established Challenge, that is a Challenge that is itself Tentatively Established, or every proposed refutation of it has such a TE Challenge.

TruthSift will incorrectly rate nodes that are false, for reasons given in the proofs of this statement.

You are correct that at any given time the status could have recently been disturbed by a stupid challenge. In response I have edited the topic statement, and have added a statistic to the website reporting views since last each statement's rating changed, which should be some indication of whether recent changes have been vetted.

Click on the Statement on the graph and scroll down to see its body. Reply to it at the bottom of the body.

How do I know a statement rated Tentatively established Is correct? How do I know a challenge rated tentatively refuted like this one has been answered?

Truthsift at any given point of the debate, provides a conclusive picture(TE or TR) of the discussion. This. I think is great because I can quickly get an idea of the discussion summary. 

"So there came a time in which the ideas, although accumulated very slowly, were all accumulations not only of practical and useful things, but great accumulations of all types of prejudices, and strange and odd beliefs.

Then a way of avoiding the disease was discovered. This is to doubt that what is being passed from the past is in fact true, and to try to find out ab initio again from experience what the situation is, rather than trusting the experience of the past in the form in which it is passed down. And that is what science is: the result of the discovery that it is worthwhile rechecking by new direct experience, and not necessarily trusting the [human] race['s] experience from the past. I see it that way. That is my best definition...Science is the belief in the ignorance of experts."

                         --Richard P Feynman, What is Science? (1968)

                            http://www-oc.chemie.uni-regensburg.de/diaz/img_diaz/feynman_what-is-science_68.pdf 

I could add challenges in bad faith, but continue to add new ones at a rate higher than researched and thought out responses could be given.

Any person in the world can contribute, pasting his idea right where its (hopefully) relevant. The system immediately highlights its impact. This person may not have any evidence, etc. but can be reasonable sounding or seemingly intelegent. Until someone challenges it, the impact of the statement may as well be the same as true. 

If a new challenge/proof/etc. and it's effects could be seen seperately, it would give time for responses to occur before its effects are considered settled (at least for now), but still allow people to see the effects immediately. Potentially:

Thick red border: Newly Established. When it is only established because of new statements, or is itself a new statement. 
Thin red border, displayed over thick black border: Newly Refuted. When it is only refuted becuase of new statements. Note that if it would be refuted otherwise, it's just Refuted. 
Thin black border displayed over thick red border: Newly Established and Newly Refuted. 

New could be established by time, views or (IMHO ideally) a combination of both.