{
  "schema": "qwav-certificates/1",
  "about": "RM-BS-QUANTUM-COMMONS-1: what an independent implementation reproduced for each published QWAV demo. Generated by scripts/qwav_golden_crosscheck.py --write-certificates; see docs/QWAV-CROSS-SIMULATOR.md.",
  "recorded": "2026-11-05",
  "does_not_certify": "No quantum state, amplitude, energy, dynamics, hardware result or quantum-advantage claim: none of these demos computes one. The independent implementation is not a quantum simulator; it is a different method for the same printed numbers.",
  "demos_total": 8,
  "demos_verified": 7,
  "verified_share": 0.875,
  "all_checked_agree": true,
  "certificates": [
    {
      "demo": "qwav-demo-error-confinement",
      "artifact": "A1",
      "covered": true,
      "quantum_values": false,
      "status": "verified",
      "checks": 11,
      "checks_agreeing": 11,
      "independent_methods": [
        "breadth-first id numbering and level counts",
        "explicit tree expansion vs closed form"
      ],
      "certifies": "node, leaf, level and subtree counts and the confinement percent the page prints for p = 2, 3, 5 at depths 1 to 6",
      "page_url": "https://qnfo.github.io/qwav-demo-error-confinement/",
      "page_sha256": "5c22ce16881e68b81bbafb087868832afdee0e10a1edf95767ca1d1b6540e53b",
      "page_bytes": 38283
    },
    {
      "demo": "qwav-demo-ultrametric-convergence",
      "artifact": "A3",
      "covered": true,
      "quantum_values": false,
      "status": "verified",
      "checks": 6,
      "checks_agreeing": 6,
      "independent_methods": [
        "seeded generator re-implemented, direct block means, law of total variance"
      ],
      "certifies": "the seeded leaf values, the variance after coarse-graining at each level and the Verify button's readout",
      "page_url": "https://qnfo.github.io/qwav-demo-ultrametric-convergence/",
      "page_sha256": "2da3d70791c51435742fba51080858b79a979b4229b06a99941987c1ec6ed1d2",
      "page_bytes": 27805
    },
    {
      "demo": "qwav-demo-qpna-classifier",
      "artifact": "A2",
      "covered": true,
      "quantum_values": false,
      "status": "verified",
      "checks": 6,
      "checks_agreeing": 6,
      "independent_methods": [
        "Lance-Williams and Kruskal clustering, two-pass Pearson"
      ],
      "certifies": "single, complete and average linkage merge heights, the cophenetic matrix, the CPCC and the clusters at half height",
      "page_url": "https://qnfo.github.io/qwav-demo-qpna-classifier/",
      "page_sha256": "53f17d0a170234c1a573f75e8d4dca292fc8cce7f997c44ce46eccd1ffa5d8b2",
      "page_bytes": 28595
    },
    {
      "demo": "qwav-demo-tree-distance",
      "artifact": "A4",
      "covered": true,
      "quantum_values": false,
      "status": "verified",
      "checks": 7,
      "checks_agreeing": 7,
      "independent_methods": [
        "base-p digit strings (prefix = LCA depth)"
      ],
      "certifies": "depth of the lowest common ancestor, p^-depth, leaf Euclidean distance, the triadic rigidity and the Verify button's readout",
      "page_url": "https://qnfo.github.io/qwav-demo-tree-distance/",
      "page_sha256": "b2136602a357e77533d0eed6b647e9b92a1ce908f6b730d61fe7274d2d1adfa9",
      "page_bytes": 22526
    },
    {
      "demo": "qwav-demo-hardware-visualizer",
      "artifact": "A5",
      "covered": true,
      "quantum_values": false,
      "status": "verified",
      "checks": 8,
      "checks_agreeing": 8,
      "independent_methods": [
        "explicit tree expansion vs closed form",
        "level counts of a 3-ary tree of depth 3"
      ],
      "certifies": "the 40 atoms, 39 gate edges and the atoms per level 1/3/9/27",
      "page_url": "https://qnfo.github.io/qwav-demo-hardware-visualizer/",
      "page_sha256": "f6f88f323647a8865999e398fc818f9b66c64537a090cbc06335b6dcc70e538a",
      "page_bytes": 17415
    },
    {
      "demo": "qwav-demo-bt-qec",
      "artifact": "-",
      "covered": true,
      "quantum_values": false,
      "status": "verified",
      "checks": 10,
      "checks_agreeing": 10,
      "independent_methods": [
        "breadth-first id numbering and level counts",
        "explicit tree expansion vs closed form"
      ],
      "certifies": "node count, redundancy per level, total redundancy and the nodes an error affects",
      "page_url": "https://qwav-demo-bt-qec.pages.dev/",
      "page_sha256": "a9ef8aaf84b4083e31de380c2037adf5c651f654b661274423092a058714e0ab",
      "page_bytes": 26461
    },
    {
      "demo": "qwav-demo-monna-map-perspective",
      "artifact": "-",
      "covered": true,
      "quantum_values": false,
      "status": "verified",
      "checks": 5,
      "checks_agreeing": 5,
      "independent_methods": [
        "exact rational arithmetic (fractions) on p-adic digits"
      ],
      "certifies": "the Monna map of integers (negatives included), the seven golden identities and the rendered and naive sizes",
      "page_url": "https://qnfo.github.io/qwav-demo-monna-map-perspective/",
      "page_sha256": "38443a66eaef26274c373cc90610caaaa5590ed838d5e4a5857b24a49ae685bd",
      "page_bytes": 16169
    },
    {
      "demo": "qwav-demos",
      "artifact": "-",
      "covered": false,
      "quantum_values": null,
      "status": "not-checked",
      "checks": 0,
      "checks_agreeing": 0,
      "independent_methods": [],
      "certifies": "",
      "page_url": "",
      "page_sha256": "",
      "page_bytes": 0,
      "note": "consolidation (2026-08-04): monna-map-perspective/index.html is byte-identical to the replayed page (git blob eaaf7a8a); convergence-explorer, error-confinement-demo, qpna-playground and hardware-visualizer are older, smaller pages and were not read"
    }
  ]
}