Between 2021 and 2023, crypto assets valued at over \US2.6billionwerestolenviaattackson"bridges"−−decentralizedservicesdesignedtoallowinter−blockchainexchange.Whiletheindividualexploitsineachattackvary,asingledesignflawunderliesthemall:thelackofend−to−endvalueaccountingincross−chaintransactions.Inthispaper,weempiricallyanalyze10milliontransactionsusedbykeybridgesduringthisperiod.Weshowthatasimpleinvariantthatbalancescross−chaininflowsandoutflowsiscompatiblewithlegitimateuse,yetpreciselyidentifieseveryknownattack(andseverallikelyattacks)inthisdata.Further,weshowthatthisapproachisnotonlysufficientforpost−hocaudits,butcanbeimplementedin−lineinexistingbridgedesignstoprovidegenericprotectionagainstabroadarrayofbridgevulnerabilities.