"The SSL landscape: a thorough analysis of the X.509 PKI using active and passive measurements" (2011) ... "Analysis of the HTTPS certificate ecosystem" (2013) https://scholar.google.com/scholar?oi=bibs&hl=en&cites=16545...
TIL about "Frankencerts": Using Frankencerts for Automated Adversarial Testing of Certificate Validation in SSL/TLS Implementations (2014) https://scholar.google.com/scholar?cites=3525044230307445257... :
> Our first ingredient is "frankencerts," synthetic certificates that are randomly mutated from parts of real certificates and thus include unusual combinations of extensions and constraints. Our second ingredient is differential testing: if one SSL/TLS implementation accepts a certificate while another rejects the same certificate, we use the discrepancy as an oracle for finding flaws in individual implementations.
> Differential testing with frankencerts uncovered 208 discrepancies between popular SSL/TLS implementations such as OpenSSL, NSS, CyaSSL, GnuTLS, PolarSSL, MatrixSSL, etc.
W3C ld-signatures / Linked Data Proofs, and MerkleProof2017: https://w3c-ccg.github.io/lds-merkleproof2017/
"Linked Data Cryptographic Suite Registry" https://w3c-ccg.github.io/ld-cryptosuite-registry/
ld-proofs: https://w3c-ccg.github.io/ld-proofs/
W3C DID: Decentralized Identifiers don't solve for all of PKIX (x.509)?
"W3C DID x.509" https://www.google.com/search?q=w3c+did+x509
I know, it sounds crazy, really crazy, but PKIX is much bigger than TLS. It's big. It's just big.
The crypto, you can verify. The session and presentation layers, you can verify. Heck, maybe you can verify your app. PKIX implementations of course can be verified in principle, but in fact it would require a serious amount of resources -- it would be really expensive. I hope someone does it, to be sure.
I suppose the first step would be to come up with a small profile of PKIX that's just enough for the WebPKI. Though don't be fooled, that's not really enough because people do use "mTLS" and they do use PKINIT, and they do use IPsec (mostly just for remote access) with user certificates, and DoD has special needs and they're not the only ones. But a small profile would be a start -- a formal specification for that is within the realm of the achievable in reasonably short order, though still, it's not small.