Every UK private company on bit-sign maintains its members register here. Anyone — member, prospective investor, regulator, auditor — can inspect a register without an account. Each allotment carries an on-chain signature from the company secretary so the cap table is independently verifiable.
Inspection rights under Companies Act 2006 §116 are free for members and statutory-fee for non-members. The CSV export on each register page is suitable for due-diligence and spreadsheet ingest.