Pith Number

pith:6OAXHYBR

pith:2026:6OAXHYBRJN37GH5H6PGSZ6UMAY

not attested not anchored not stored refs pending

A Monty-Hall test of non-contextual determinism with a single qutrit

Jorge Meza-Dom\'inguez

Deterministic hidden-variable theories require exactly 1/3 probability after a Monty Hall-style descarte on a qutrit, while quantum mechanics predicts 1/6.

arxiv:2604.25953 v2 · 2026-04-24 · quant-ph · math-ph · math.MP

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\usepackage{pith}
\pithnumber{6OAXHYBRJN37GH5H6PGSZ6UMAY}

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Record completeness

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4 Citations open

5 Replications open

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The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Claims

C1strongest claim

In any deterministic theory that respects the Monty Hall condition (the descarte never eliminates the real state), the probability of obtaining a chosen state after the descarte is exactly 1/3. In contrast, quantum mechanics predicts 1/6, due to the preparation of coherent superpositions.

C2weakest assumption

That deterministic hidden-variable theories (local or nonlocal) must respect the Monty Hall condition in which the descarte procedure never eliminates the real underlying state.

C3one line summary

Quantum mechanics violates a 1/3 probability bound required by any deterministic theory that never discards the true state in a Monty-Hall-inspired descarte protocol on a single qutrit, predicting instead 1/6.

Receipt and verification

First computed	2026-05-28T02:04:48.293302Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f38173e0314b77f31fa7f3cd2cfa8c061f3444a4aabd3e3ffa5561ff5c7d53fa

Aliases

arxiv: 2604.25953 · arxiv_version: 2604.25953v2 · doi: 10.48550/arxiv.2604.25953 · pith_short_12: 6OAXHYBRJN37 · pith_short_16: 6OAXHYBRJN37GH5H · pith_short_8: 6OAXHYBR

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/6OAXHYBRJN37GH5H6PGSZ6UMAY \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: f38173e0314b77f31fa7f3cd2cfa8c061f3444a4aabd3e3ffa5561ff5c7d53fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3706bbe68d9faf346a251ec09163b3a3c78d54746e07e2ee9b740f3bee39038e",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-04-24T21:23:07Z",
    "title_canon_sha256": "2c95c017c1f2a6ab7093e081f0d3d84082f3e3dd1312170832c2d188c9fca108"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.25953",
    "kind": "arxiv",
    "version": 2
  }
}