Pith Number

pith:FRGTMVFE

pith:2015:FRGTMVFEAPTAJF7D42V5M4U7WQ

not attested not anchored not stored refs pending

Random and free observables saturate the Tsirelson bound for CHSH inequality

A. Rutkowski, A. W. Harrow, M. Horodecki, M. Marciniak, Z. Yin

arxiv:1512.00223 v3 · 2015-12-01 · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FRGTMVFEAPTAJF7D42V5M4U7WQ}

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	2026-05-18T00:49:19.313591Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c4d3654a403e60497e3e6abd6729fb41fc7d71c5f0981ab3099346abc46f478

Aliases

arxiv: 1512.00223 · arxiv_version: 1512.00223v3 · doi: 10.48550/arxiv.1512.00223 · pith_short_12: FRGTMVFEAPTA · pith_short_16: FRGTMVFEAPTAJF7D · pith_short_8: FRGTMVFE

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/FRGTMVFEAPTAJF7D42V5M4U7WQ \
  | 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: 2c4d3654a403e60497e3e6abd6729fb41fc7d71c5f0981ab3099346abc46f478

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "408dc215c4fa7754757096604526da22025e798c9af79d3049e9bee5fcbb537b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2015-12-01T11:01:09Z",
    "title_canon_sha256": "6fb2ac21f1fb752985971c507d69c3562aaa99fb7cb50956c4d53d6b93df91b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.00223",
    "kind": "arxiv",
    "version": 3
  }
}