Pith Number

pith:WAQHS7MF

pith:2012:WAQHS7MFKYGXG44AAKKFAR4VBS

not attested not anchored not stored refs pending

The chain rule implies Tsirelson's bound: an approach from generalized mutual information

Eyuri Wakakuwa, Mio Murao

arxiv:1207.2286 v3 · 2012-07-10 · 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{WAQHS7MFKYGXG44AAKKFAR4VBS}

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	2026-05-18T03:39:16.316363Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b020797d85560d73738002945047950c8a70375b81c8aa40d14f099be50fc224

Aliases

arxiv: 1207.2286 · arxiv_version: 1207.2286v3 · doi: 10.48550/arxiv.1207.2286 · pith_short_12: WAQHS7MFKYGX · pith_short_16: WAQHS7MFKYGXG44A · pith_short_8: WAQHS7MF

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/WAQHS7MFKYGXG44AAKKFAR4VBS \
  | 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: b020797d85560d73738002945047950c8a70375b81c8aa40d14f099be50fc224

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20ddcb18c1da261a2b773a95524fed140df4d8d690c7d8657322166abfc2e84f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2012-07-10T09:59:58Z",
    "title_canon_sha256": "31c50a43d7b6f362c63d2bc5881aa89b4bfd86a2afdb6112cdc1219b00f4218b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.2286",
    "kind": "arxiv",
    "version": 3
  }
}