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Path 2 / DBBH → DBWH verification record — 2026-07-11

Correction to the earlier Q-PRISM capstone

The earlier capstone correctly described retained-store recovery but was frozen before the separate Path-2 implementation landed. Its old statement that no measured Asolaria mechanism instantiated a second jointly injective shadow is superseded.

The current pair is:

Path 1 — dbbh-coms-quant-prism
  retained object + small authenticated address
  exact recall or Held

Path 2 — path2-two-shadow-recovery
  no retained object store
  individually non-injective CRT shadows
  jointly sufficient product >= source range
  exact recovery or Held

Measured Path-2 mechanism

For a bounded block 0 <= X < R and pairwise-coprime cylinders p_i:

S_i = X mod p_i

One S_i leaves a multi-element fiber. A selected set I becomes injective when:

product(p_i for i in I) >= R

The implementation enforces the wall with Held::InsufficientJointCapacity. It does not use a learned decoder or retained-object store to guess through missing capacity.

The base codec uses six-byte/48-bit blocks, for which two roughly 25-bit cylinders are sufficient. The N-cylinder slice lane uses eight-byte/64-bit blocks, for which two hold and three recover. Additional cylinders are consistency checked after the first sufficient prefix.

DBBH → DBWH gate

The Path-2 white side performs a complete re-projection:

black slice
  -> SHA/Host8
  -> N cylinder shadows
  -> frequency shells
  -> recover selected sufficient shadows
  -> white candidate
  -> re-project white candidate
  -> compare white SHA, shadows, shells to black

Emission requires:

P(R(P(X))) = P(X)

A changed residue, insufficient roof, SHA mismatch, shadow mismatch, or shell mismatch is held.

The current local watcher names are deterministic consistency roles:

  • OmniShannon — capacity ledger;
  • GNN-forward — black-to-white reconstruction role;
  • reverse-GNN — white-to-black re-projection role;
  • MTP1/2/3 — pixel, shell, and cylinder observers.

The separate Asolaria trained-GNN repositories contain real neural checkpoints and runtime sidecars. They are not falsely described as loaded inside this Rust crate merely because the watchers share the GNN names.

Encrypted quantum cloning connection

The experiment at arXiv 2602.10695 is a physical quantum sibling of Path 2:

encrypted clone alone   -> locally maximally mixed
clone + full key        -> jointly reversible
selected decryption     -> exact ideal recovery
key consumed            -> no second readable branch

The shared theorem is global preservation plus local insufficiency plus selected recombination. The classical CRT residue differs because it leaks residue information; it is ambiguous but not individually maximally mixed. A classical XOR-pad lane can create individually uniform shares, but ordinary software cannot guarantee physical one-time erasure because classical shares can be copied.

Verification provenance

Claude Fable 5 — operator-supplied third-seat measurements

dbbh-coms-quant-prism
  head=b203d5885cc62db82d949b39ee427f2bc3c13b9c
  rustc=1.81
  result=19/19 green
  seat=third independent container

path2-two-shadow-recovery
  head=7d89852e7759aa704e98401457223c732d1ed6c7
  rustc=1.81
  result=30/30 green
  seat=third independent container

These are preserved as MEASURED_CLAUDE_FABLE5_THIRD_SEAT and are independent of the earlier acer and liris executions.

GPT-5.6 Pro — source and test audit

GPT-5.6 Pro read:

  • all 813 current Path-1 source lines, all tests, README, and both docs;
  • all 1,344 current Path-2 source lines, all four external tests, embedded tests, both Liris docs, and README;
  • all 809 Q-PRISM 3D slice harness source lines and tests;
  • the pre-Asolaria healthcare GNNs, byte-identical sidecar copies, BigPickle scorer/Fischer, trained GNN/reverse-gain repo, Hookwall/Shannon stage, white rooms, cube mint, reductions, algorithms, OmniDispatcher, HyperHermes, and N-Nest.

The GPT sandbox lacked Rust and outbound DNS, so it does not claim a GPT-local cargo run. GPT added Rust 1.81 GitHub Actions workflows to the three Rust repositories to create independent CI receipts.

Storage-backed / low-GPU applicability

The exact Q-PRISM recovery/control plane does not require a GPU:

  • SHA/Host8 and content addressing;
  • BEHCS 64/256/1024 rebasing;
  • HyperBEHCS selectors;
  • CRT Path-2 projection/recovery;
  • Path-1 store recall;
  • HBP/HBI/hex receipts;
  • watcher comparisons;
  • white-room compaction, queues, ledgers, and bounded active windows.

HDD/SSD can carry raw residuals, cube bodies, shadows, receipts, queues, and cold agent state. RAM holds only the active slice/window. Trained GNNs and LLMs may still use CPU/GPU accelerators, but those scorers are separable sidecars rather than the sole memory substrate.

This is applicable to commodity desktops, CPU-only servers, edge machines, archival/storage nodes, and heterogeneous clusters where only some machines own GPUs.

Claim ledger

  • MEASURED: Path-1 retained recall; Path-2 no-store CRT recovery; insufficient-capacity hold; N-cylinder checks; DBBH→DBWH re-projection and tamper hold; Q-PRISM exact representation rungs.
  • MEASURED_CLAUDE_FABLE5_THIRD_SEAT: 19/19 and 30/30 under rustc 1.81 as supplied by the operator.
  • AUDITED_GPT_5_6_PRO: complete source/test/lineage audit and independent CI workflow addition.
  • CANON: Fano/Shannon walls, CRT/Bézout, joint injectivity, entropy invariance under bijection.
  • UNVERIFIED: live Hilbra multi-host traversal, trained-GNN invocation inside the Rust throat, hardware-enforced one-use classical shares, and physical quantum-state transport.