Hypothesis which consistently survive falsification are said to be "corroborated," due to our increasing confidence.
so in other words you mean validate?
number 3 there looks to be just what you stated
tr.v. validated, validating, validates
1. To declare or make legally valid.
2. To mark with an indication of official sanction.
3. To establish the soundness of; corroborate. See Synonyms at confirm.