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A proof path is the ordered sequence of sibling node hashes that constitute a Merkle proof, tracing a route from a specific leaf node up to the tree root by providing the hash of each sibling at every level of the tree. In Solana's compressed account and compressed NFT transactions, the proof path is passed as a list of additional accounts (each account holding a 32-byte hash) in the instruction's account metas, since proof nodes exceed what can fit in instruction data alone for deep trees. The length of the proof path equals tree_depth minus canopy_depth, so indexers like Photon pre-compute and serve proof paths to clients, which can then submit them directly to on-chain programs for verification.