Pith Number

pith:5AX2OZF6

pith:2026:5AX2OZF6DKBIZ6X46OJL3MLJUR

not attested not anchored not stored refs resolved

Three ways to find comfort with the Bell proof and the results of the Bell experiments

Bart Jongejan, Inge S. Helland, Richard D Gill

Bell experiment results can be accommodated without counterfactual definiteness or conspiratorial setting dependence.

arxiv:2605.13154 v1 · 2026-05-13 · quant-ph · math.ST · stat.TH

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\usepackage{pith}
\pithnumber{5AX2OZF6DKBIZ6X46OJL3MLJUR}

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Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

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

There exist coherent worldviews that reject both counterfactual definiteness and conspiratorial violation of statistical independence while accommodating the experimental results of Bell tests.

C2weakest assumption

The assumption that the recent loophole-free experiments have closed all relevant loopholes and that the proposed reconstructions (accessible variables, dimension-dependent geometry) can be made fully consistent with all quantum predictions without additional empirical constraints.

C3one line summary

Three authors each propose a resolution to Bell's theorem by dropping counterfactual definiteness, with one linking CHSH violation strength to spatial dimensions.

References

60 extracted · 60 resolved · 2 Pith anchors

[1] The violation of B ell inequalities in the macroworld 2000 · doi:10.1023/a:1026449716544

[2] Towards a quantum evolutionary scheme: V iolating B ell's inequalities in language 2006 · doi:10.1007/1-4020-3395-8_20

[3] Sven Aerts, Paul Kwiat, Jan- ke Larsson, and Marek \. Z ukowski. Two-photon F ranson-type experiments and local realism. Phys. Rev. Lett., 83: 0 2872--2875, Oct 1999. doi:10.1103/PhysRevLett.83.2872 1999 · doi:10.1103/physrevlett.83.2872

[4] Experiment Test of Bell’s Inequalities Using Time-Varying Analyzers 1982 · doi:10.1103/physrevlett.49.1804

[5] Experimental R ealization of E instein- P odolsky- R osen- B ohm G edankenexperiment: A N ew V iolation of B ell's I nequalities 1982 · doi:10.1103/physrevlett.49.91

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-18T03:08:57.053926Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e82fa764be1a828cfafcf392bdb169a44fc8af53810dd22b3fd8de56fe385f87

Aliases

arxiv: 2605.13154 · arxiv_version: 2605.13154v1 · doi: 10.48550/arxiv.2605.13154 · pith_short_12: 5AX2OZF6DKBI · pith_short_16: 5AX2OZF6DKBIZ6X4 · pith_short_8: 5AX2OZF6

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/5AX2OZF6DKBIZ6X46OJL3MLJUR \
  | 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: e82fa764be1a828cfafcf392bdb169a44fc8af53810dd22b3fd8de56fe385f87

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "035b946ea02575e3e85efc2bf4260b17c76275d70f024b5ac6cf9666ee468262",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-05-13T08:19:46Z",
    "title_canon_sha256": "cb8faf4a98c7e380131a48aa1f92435feb5fd33ab42e14acd1b2173b7be61224"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.13154",
    "kind": "arxiv",
    "version": 1
  }
}