When you buy a share of a public company, the share lives in your brokerage account in your name (or in street name on your behalf). When you buy on VeldenStake, your position is recorded in the VeldenStake ledger as a fractional claim on the company's common shares, identified by your account and the company's CUSIP-equivalent identifier. From your perspective: you own 0.32 of a SpaceX share. From VeldenStake's: it has recorded a $250.40 liability denominated in SpaceX shares, against an equivalent reserve held in custody.
Settlement happens on the same tick as the order. The cash leg debits your VeldenStake cash balance; the position leg credits your holdings; an audit row is written; an email confirmation is queued. There is no T+2, no broker-of-record handoff, no clearing house in the middle.
When you sell, the position closes against the platform's reference. The cash leg credits your account; you can withdraw within minutes (subject to bank-side timing). The position leg retires inside the VeldenStake ledger. Same flow, opposite direction, identical latency.