Pith Number

pith:IBZ7UCAT

pith:2026:IBZ7UCAT3HXSNQQN5M5TUR2CG2

not attested not anchored not stored refs pending

Quantum mechanics over real numbers fully reproduces standard quantum theory

Alan C. Maioli, Evaldo M. F. Curado, Jean-Pierre Gazeau

A real-valued framework exactly reproduces all predictions of standard complex quantum mechanics.

arxiv:2604.19482 v2 · 2026-04-21 · quant-ph

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\usepackage{pith}
\pithnumber{IBZ7UCAT3HXSNQQN5M5TUR2CG2}

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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

we present a rigorous real-valued framework that perfectly reproduces all predictions of standard quantum mechanics... our formulation achieves the maximal CHSH3 violation of 6√2 using purely real variables, directly contradicting previous falsification claims.

C2weakest assumption

The assumption that the newly introduced ka space together with the symplectic composition rule ⊗^ks supplies a complete, bijective, and structure-preserving isomorphism to standard complex QM without hidden losses or additional postulates.

C3one line summary

A real-valued quantum framework based on ka space and symplectic tensor product is isomorphic to standard complex QM via explicit bijection and reproduces all predictions including maximal CHSH violation of 6√2.

Receipt and verification

First computed	2026-05-27T01:04:58.142307Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4073fa0813d9ef26c20deb3b3a474236b647ad5f3aa744afce1b7b6bb30bbddd

Aliases

arxiv: 2604.19482 · arxiv_version: 2604.19482v2 · doi: 10.48550/arxiv.2604.19482 · pith_short_12: IBZ7UCAT3HXS · pith_short_16: IBZ7UCAT3HXSNQQN · pith_short_8: IBZ7UCAT

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/IBZ7UCAT3HXSNQQN5M5TUR2CG2 \
  | 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: 4073fa0813d9ef26c20deb3b3a474236b647ad5f3aa744afce1b7b6bb30bbddd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a5039e42a8e37514abbd9f984cc87725dd57de56ba17a581e2384546e0b590c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-04-21T14:03:38Z",
    "title_canon_sha256": "2ba4da228ea113a5c37a6b0fa0b03616b6d26eca451fc995a27621840b86c71b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.19482",
    "kind": "arxiv",
    "version": 2
  }
}