Pith Number

pith:ARO4FRK7

pith:2025:ARO4FRK7ZQX7WVGFJ5UR4NWK76

not attested not anchored not stored refs pending

Existence and nonexistence of commutativity gadgets for entangled CSPs

Eric Culf, Josse van Dobben de Bruyn, Matthijs Vernooij, Peter Zeman

arxiv:2509.07835 v1 · 2025-09-09 · quant-ph · cs.CC · math.OA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ARO4FRK7ZQX7WVGFJ5UR4NWK76}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

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.

Receipt and verification

First computed	2026-07-05T12:07:29.430199Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

045dc2c55fcc2ffb54c54f691e36caffb7247c0eb6dc961340cd959edffd6b4d

Aliases

arxiv: 2509.07835 · arxiv_version: 2509.07835v1 · doi: 10.48550/arxiv.2509.07835 · pith_short_12: ARO4FRK7ZQX7 · pith_short_16: ARO4FRK7ZQX7WVGF · pith_short_8: ARO4FRK7

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/ARO4FRK7ZQX7WVGFJ5UR4NWK76 \
  | 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: 045dc2c55fcc2ffb54c54f691e36caffb7247c0eb6dc961340cd959edffd6b4d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d1528863b819ba7b151f7445a3e877f73ff69329154d279713071de56319eca",
    "cross_cats_sorted": [
      "cs.CC",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2025-09-09T15:11:45Z",
    "title_canon_sha256": "7dee98de398505d1490383007a15c682cc23f45a267c31a704c788bd70598bfc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.07835",
    "kind": "arxiv",
    "version": 1
  }
}