Each thread owns its ambient graph (created lazily on first use); the owner thread of a graph is the thread that created it. All reads and writes happen there. Foreign threads may only call Post on changeable values (or the collection post functions); the post lands in the node's own graph ring. Pending posts are applied automatically at the start of the next graph operation on the owner thread, as one batch with one notification delivery. No pump call is required.

Every posted source is applied at most once per batch, with the last posted value winning. The source equality check still applies, so posting an equal value does not mark. Posting.pump() forces application at a chosen boundary and is cheap when the queue is empty; it allocates nothing.

Example

 // worker thread
 cval.Post(health - 1)
 // owner thread: the next read applies the post automatically
 let h = AVal.getValue health